ANALYTIC AND COORDINATE GEOMETRY Multiple Connections Rose Mary Zbiek Width-length-perimeter graphs and width-length-area graphs. (889, 1996) 628 - 634 A Geometric Approach to the Discriminant R. Daniel Hurwitz Characterizing the number of real solutions to a quadratic equation by investigating the intersections of a parabola and a line. (88, 1995) 323 - 325 Investigating Circles and Spirals with a Graphing Calculator Stuart Moskowitz Activities involving parametric equations. (87, 1994) 240 - 243 Geometric Transformations - Part 2 Susan K. Eddins, Evelyn O. Maxwell, and Floramma Stanislaus Activities. Coordinate approaches to transformations utilizing matrices. (87, 1994) 258 - 261, 268 - 270 A Quadrilateral Hierarchy to Facilitate Learning in Geometry Timothy V. Craine and Rheta N. Rubenstein Creating a "family tree" for quadrilaterals to enable generalization of results. Analytic proofs are also involved. (86,1993) 30 - 36 Using a Treasure Hunt to Teach Locus of Points Linda Hayek Sharing teaching ideas. Using geometric clues to find hidden objects. (86, 1993) 133 - 134 Physical Modeling of Basic Loci Patricia Frey-Mason Using students and groups of students to represent geometric objects. (86, 1993) 216 Square Circles Judith A. Silver Examining the set of all points equidistant from a fixed point using metrics different from the usual metric in a plane. (86, 1993) 408 - 410 Hidden Treasures in Students' Assumptions Monte Zerger Finding the distance between two points separated by an obstacle. Geometric and trigonometric approaches. (86, 1993) 567 - 569 Where is My Reference Angle? Joanne Staulonis A manipulative for demonstrating the concept of a reference angle. (85, 1992) 537 Folding Perpendiculars and Counting Slope Ann Blomquist Sharing Teaching Ideas. Folding activities to discover relations between slopes of perpendicular lines. (85, 1992) 538 - 539 Is the Graph of y = kx Straight? Alex Friedlander and Tommy Dreyfus Loci in non-Cartesian coordinate systems. (84, 1991) 526 - 531 Euclid and Descartes: A Partnership Dorothy Hoy Wasdovich Integrating coordinate and synthetic geometry. (84, 1991) 706 - 709 Coordinate Geometry: A Powerful Tool for Solving Problems Stanley F. Tabak Contrasting synthetic and analytic proofs for three theorems. (83, 1990) 264 - 268 Which Method Is Best? Edward J. Barbeau Synthetic, transformational, analytic, vector, and complex number proofs that an angle inscribed in a semicircle is a right angle. (81, 1988) 87 - 90 Interdimensional Relationships Joseph V. Roberti. A look at relationships suggested by the fact that the derivative of the area of a circle yields the circumference and the derivative of the volume of a sphere yields the surface area. (81, 1988) 96 - 100 Slope As Speed James Robert Metz Activities to develop the concept. (81, 1988) 285 - 289 Another Approach to the Ambiguous Case Bernard S. Levine Using the law of cosines to set up a quadratic equation. 80, (1987) 208 - 209. A Geometric Proof of the Sum-Product Identities for Trigonometric Functions Joscelyn Jarrett Utilizing points on a unit circle. 80, (1987) 240 - 244. Rethinking the Ambiguous Case Allen L. Peek Again relating the solution of the problem to the solution of a quadratic equation. 80, (1987) 372. Illustrating the Euler Line James M. Rubillo Finding the coordinates of the points on the line. 80, (1987) 389 - 393. Interpreting and Applying the Distance Formula Richard J. Hopkinson Applying the usual formula for the distance from a point to a line to the solution of several typical analytic geometry problems. 80, (1987) 572 - 575, 579. Distance From a Point to a Line Donna M. and Enrique A. Gonzalez-Velasco A derivation of the formula. 79, (1986) 710 - 711. A Property of Inversion in Polar Coordinates James N. Boyd A demonstration of the result that inversion preserves angle size. 78, (1985) 60 - 61. The Geometry of Microwave Antennas William R. Parzynski Reflective properties of parabolas and hyperbolas. An analytic approach. 77, (1984) 294 - 296. General Equations for a Reflection in a Line J. Taylor Hollist An analytic development. 77, (1984) 352 - 353. Inversion in a Circle: A Different Kind of Transformation Martin P. Cohen An analytic introduction to inversion. 76, (1983) 620 - 623. Two Derivations Of A Formula For Finding The Distance From a Point to A Line George P. Evanovich A circle-radius method and a trigonometric method. 72, (1979) 196 - 198. Writing Equations For Intersecting Circles Richard J. Hopkinson A method for guaranteeing that two circles will meet at points having integer coordinates. 72, (1979) 296 - 298. Computer Classification Of Triangles and Quadrilaterals - A Challenging Application J. Richard Dennis Computer application, uses coordinates of vertices. 71, (1978) 452 - 458. Dual Concepts - Graphing With Lines (Points) Deloyd E. Steretz and Joseph L. Teeters Point and line coordinates. 70, (1977) 726 - 731. Coordinates For Lines: An Enrichment Activity Alan R. Osbourne Line coordinates in a plane. 69, (1976) 264 - 267. Equations Of Geometric Figures Carl S. Johnson, M.M. Ahuja and Leonard Palmer The relation of the graphs of the union and the intersection of the figures F and G to the graphs of F and G. Extended to writing equations for polygons and to higher dimensions. 67, (1974) 741 - 743. Mission - Tangrams Charles E. Allen Activities dealing with coordinate systems, shape, congruence, similarity and congruence. 66, (1973) 143 - 146. A Mathematical Vignette Courtney D. Young, Jr. A look at some analytic proofs. 65, (1972) 349 - 353. Circular Coordinates: A Strange New System Of Coordinates Frederick K. Trask III A system in which points are represented as the intersection of circles. Applied mainly to curves which are best represented in polar form. 64, (1971) 402 - 408. What Points Are Equidistant From Two Skew Lines? Alexandra Forsythe An analytic approach. 62, (1969) 97 - 101. Geometric Techniques For Graphing Glen Haddock and Donald W. Hight Graphs of f , g , f + g , f - g , etc. 59, (1966) 2 - 5. Discovery-Type Investigation For Coordinate Geometry Students Mary Ellen Schaff System derived from a circle and a line. 59, (1966) 458 - 460. The Use Of Transformations In Deriving Equations Of Common Geometric Figures Clarence R. Perisho Equations of figures having sharp corners. 58, (1965) 386 - 392. Coordinate Geometry With An Affine Approach Harry Sitomer A brief overview. 57, (1964) 404 - 405. A Note On Curve Fitting Joseph F. Santer Writing an equation for an angle. 56, (1963) 218 - 221. A Second Note On Curve Fitting Joseph F. Santer Writing an equation for a broken line curve. 56, (1963) 307 - 310. Curves With Corners Clarence R. Perisho Equations involving absolute values. 55, (1962) 326 - 329. Graphing Pictures Margaret L. Carver Coordinates presented. 52, (1959) 41 - 43. Teaching Loci With Wire and Paint Donald A. Williams Teaching aids for locus problems. 51, (1958) 562 - 563. The Functional Approach To Elementary and Secondary Mathematics William A. Gager Some geometrical examples. 50, (1957) 30 - 34. Equations and Geometric Loci: A Logical Synthesis W. Servais Relations, some set theory. 50, (1957) 114 - 122. Notes On Analytic Geometry William L. Schaff Bibliography. 46, (1953) 28 - 30. Using Algebra In Teaching Geometry Howard F. Fehr An analytic approach to geometry. 45, (1952) 561 - 566. Analytic Geometry: The Discovery Of Fermat and Descartes Carl B. Boyer History and bibliography. 37, (1944) 99 - 105. A Lesson On The Parabola, With Emphasis On Its Importance In Modern Life Chester C. Camp Analytic approach. Applications. 35, (1942) 59 - 63. Analytic Geometry In The High School Arthur F. Leary Material being taught at the time. 33, (1940) 60 - 68. A Geometric Representation E. D. Roe, Jr. Analytic geometry in space. 10, (1917-1918) 205 - 210. AREA Connecting Geometry and Algebra: Geometric Interpretations of Distance Terry W. Crites Primarily as areas under curves. (88, 1995) 292 - 297 Using Similarity to Find Length and Area James T. Sandefur Similar figures and scaling factors. Constructing spirals in triangles and squares. Involvement with the theorem of Pythagoras. (87, 1994) 319 - 325 Spiral Through Recursion Jeffrey M. Choppin Finding areas and perimeters of spirals created through recursive processes. (87, 1994) 504 - 508 Teaching Relationships between Area and Perimeter with The Geometer's Sketchpad Michael E. Stone For all n-gons with the same perimeter, what shape will have the greatest area? Sketchpad investigations of the problem. (87, 1994) 590 - 594 Multiple Solutions Involving Geoboard Problems Lyle R. Smith Finding areas and perimeters of polygons formed on a geoboard. (86, 1992) 25 - 29 Area and Perimeter Connections Jane B. Kennedy Activities for investigating maximum area rectangles with fixed perimeter. (86, 1993) 218 - 221, 231 - 232 The Use of Dot Paper in Geometry Lessons Ernest Woodward and Thomas Ray Hamel Area, perimeter, congruence, similarity, Cevians. (86, 1993) 558 - 561 Looking at Sum k and Sum k*k Geometrically Eric Hegblom Using squares and determining area, using cubes and determining volume. (86, 1993) 584 - 587 The Generality of a Simple Area Formula Daniel J. Reinford Sharing Teaching Ideas. Using the triangle area formula K = rs to find the areas of polygons which have inscribed circles and applying the formula to find the area of a circle. (86, 1993) 738 - 740 A Circle is a Rose Margaret M. Urban Area conjectures for a rose curve. (85, 1992) 114 - 115 Making Connections: Beyond the Surface Dan Brutlag and Carole Maples Dealing with scaling-surface area-volume relationships. (85, 1992) 230 - 235 Determining Area and Calculating Cost: A "Model" Approach Harry McLaughlin Activities for discovering the formula for the area of a rectangle and using the information to calculate various costs. (85, 1992) 360 - 361, 367 - 370 A Generalized Area Formula Virginia E. Usnick, Patricia M. Lamphere, and George W. Bright Looking for a common structure in familiar area formulas. (85, 1992) 752 - 754 Area and Perimeter Are Independent Edwin L. Clopton Sharing Teaching Ideas. A demonstration and laboratory activity. (84, 1991) 33 - 35 A Geometric Look at Greatest Common Divisor Melfried Olson Activities involving area. (84, 1991) 202 - 208 A Fractal Excursion Dane R. Camp Area and perimeter results for the Koch curve and surface area and volume results for three-dimensional analogs. (84, 1991) 265 - 275 Pick's Theorem Extended and Generalized Christopher Polis The extension is to lattices other than square lattices. The author was an eighth-grade student at the time the article was written. (84, 1991) 399 - 401 Counting Squares David L. Pagni Finding a relationship between the size of a rectangle and the number of subsquares cut by a diagonal. (84, 1991) 754 - 758 Area of a Triangle Donald W. Stover Sharing Teaching Ideas. An alternate method for finding the area of a triangle given the lengths of the sides. (83, 1990) 120 Seven Ways to Find the Area of a Trapezoid Lucille Lohmeier Peterson and Mark E. Saul Sharing Teaching Ideas. Furnishing a hands-on experience in determining the area of a trapezoid. (83, 1990) 283 - 286 Areas and Perimeters of Geoboard Polygons Lyle R. Smith Finding polygons with specific areas and specific perimeters on a geoboard. (83, 1990) 392 - 398 Some Discoveries with Right-Rectangular Prisms Robert E. Reys Activities for problem-solving experiences with area and volume. (82, 1989) 118 - 123 What Do We Mean by Area and Perimeter? Virginia C. Stimpson Sharing Teaching Ideas. A lesson designed to reveal misconceptions about the relationship between area and perimeter. (82, 1989) 342 - 344 Area Formulas on Isometric Dot Paper Bonnie H. Litwiller and David R. Duncan Isometric graph paper as a teaching aid for the concept of area. (82, 1989) 366 - 369 Interpreting Proportional Relationships Kathleen A. Cramer, Thomas R Post, and Merlyn J. Behr Activities which include some discussion of surface area and map scaling. (82, 1989) 445 - 452 Designing Dreams In Mathematics Linda S. Powell Sharing Teaching Ideas. Informal geometry project involving area calculations. (82, 1989) 620 Geometrical Adventures in Functionland Rina Hershkowitz, Abraham Arcavi, and Theodore Eisenberg Determining the change in area produced by making a change in some property of a particular figure. 80, (1987) 346 - 352. Approximation of Area Under a Curve: A Conceptual Approach Tommy Dreyfus Various approaches are presented. 80, (1987) 538 - 543. Using Sweeps to Find Areas Donald B. Schultz A technique related to a theorem of Pappus. 78, (1985) 349 - 351. Investigating Shapes, Formulas, and Properties With LOGO Daniel S. Yates Logo activities leading to results on areas and triangle geometry. 78, (1985) 355 - 360. (See correction p. 472.) Measuring the Areas of Golf Greens and Other Irregular Regions W. Gary Martin and Joao Ponto Divide the region into triangles having a common vertex at an interior point of the region. BASIC program provided. 78, (1985) 385 - 389. Ring-Around-A-Trapezoid Vincent J. Hawkins Finding the area of a circular ring by transforming it into an isosceles trapezoid. 77, (1984) 450 - 451. How Is Area Related to Perimeter? Betty Clayton Lyon Relations involving rectangles with integral sides. 76, (1984) 360 - 363. Understanding Area and Area Formulas Michael Battista A sequence of lessons to discourage some common misunderstandings about area. 75, (1982) 362 - 368, 387. Area = Perimeter Lee Markowitz When will the area of a triangle be equal to its perimeter? 74, (1981) 222 - 223. The Second National Assessment In Mathematics: Area and Volume James J. Hirstein A discussion of student results on the concepts. 74, (1981) 704 - 708. The Isoperimetric Theorem Ann E. Watkins Activities to aid in the discovery that for a given perimeter the circle encloses the greatest area. 72, (1979) 118 - 122. A Different Look At pi r*r William D. Jamski Dividing a circle into n congruent segments, then reassembling them into a "quadrilateral". 71, (1978) 273 - 274. Finding Areas Under Curves With Hand-Held Calculators Arthur A. Hiatt Develops (in the appendix) a method for finding the area of a polygon, given the coordinates of its vertices. 71, (1978) 420 - 423. Problem Posing and Problem Solving: An Illustration Of Their Interdependence Marion I. Walter and Stephen I. Brown Given two equilateral triangles, find a third whose area is the sum of the areas of the first two. The Pythagorean theorem and a generalization. 70, (1977) 4 - 13. Tangram Mathematics Activities involving area relationships. 70, (1977) 143 - 146. The Surveyor and The Geoboard Ronald R. Steffani Surveyors method for finding area related to the geoboard. 70, (1977) 147 - 149. Sum Squares On A Geoboard James J. Cemella The number of squares on a geoboard and their area. 70, (1977) 150 - 153. Tangram Geometry James J. Roberge Using the tangram pieces to create geometric figures. Looks at convex quadrilaterals in particular. 70, (1977) 239 - 242. Volume and Surface Area Gerald Kulm Activities involving surface areas and volumes of rectangular boxes with open tops. 68, (1975) 583 - 586. Pick's Rule Christian R. Hirsch Activities for discovering and using Pick's rule. 67, (1974) 431 - 434, 473. Area Ratios In Convex Polygons Gerald Kulm Area ratios involved when one regular n-gon is derived from another by joining division points of sides. 67, (1974) 466 - 467. Problem Number 10 George Lenchner Find the area of a quadrilateral derived from a right triangle. 67, (1974) 608 - 609. Some Suggestions For An Informal Discovery Unit On Plane Convex Sets Alton T. Olson Activities leading to the discovery of properties and existence of convex sets. 66, (1973) 267 - 269. That Area Problem Benjamin Greenberg Finding the area of a quadrilateral formed by trisecting the sides of a given quadrilateral. 64, (1971) 79 - 80. Area From A Triangular Point Of View Margaret A. Farrell Using an equilateral triangle as the unit of area. 63, (1970) 18 - 21. Two Incorrect Solutions Explored Correctly Merle C. Allen Converse of Pythagoras, area of a triangle. 63, (1970) 257 - 258. The Area Of A Pythagorean Triangle and The Number Six Robert W. Prielipp The area of such a triangle is a multiple of six. 62, (1969) 547 - 548. A Medieval Proof Of Heron's Formula Yusuf Id and E.S. Kennedy A proof by Al-Shanni. 62, (1969) 585 - 587. Pierced Polygons Charles G. Moore Regions formed when a polygonal region is cut from the interior of another polygonal region. Angle relations. 61, (1968) 31 - 35. The Area Of A Rectangle Lawrence A. Ringenberg Formula developed using the square as a unit. 56, (1963) 329 - 332. The Trapezoid and Area Wilfred H. Hinkel An approach to polygonal area formulas. 53, (1960) 106 - 108. Area Device For A Trapezoid Emil J. Berger Teaching aid. 49, (1956) 391. CIRCLES Trap a Surprise in an Isosceles Trapezoid Margaret M. Housinger Isosceles trapezoids with integral sides in which a circle can be inscribed. (889, 1996) 12 - 14 Perimeters, Patterns, and Pi Sue Barnes Areas and perimeters of inscribed and circumscribed regular polygons. (889, 1996) 284 - 288 A Mean Solution to an Old Circle Standard Andrew J. Samide and Amanda M. Warfield A line is tangent to two tangent circles, find the length of the segment joining the two points of tangency. (889, 1996) 411 - 413 Geometry in English Wheatfields The geometry and diatonic ratios of crop circles. (88, 1995) 802 Pi Day Bruce C. Waldner Mathematically related contests held on March 14 (i.e. 3/14). (87, 1994) 86 - 87 Investigating Circles and Spirals with a Graphing Calculator Stuart Moskowitz Activities involving parametric equations. (87, 1994) 240 - 243 A Rapidly Converging Recursive Approach to Pi Joseph B. Dence and Thomas P. Dence An algorithm for estimating pi from a sequence of inscribed regular polygons. (86, 1993) 121 - 124 A Circle is a Rose Margaret M. Urban Area conjectures for a rose curve. (85, 1992) 114 - 115 Circles Revisited Maurice Burke Using three theorems about circles to demonstrate eighteen theorems. (85, 1992) 573 - 577 The Circle and Sphere as Great Equalizers Steven Schwartzman Relations between parts of figures and inscribed figures. (84, 1991) 666 - 672 A New Look at Circles Dan Bennett A locus problem from Calvin and Hobbes. (82, 1989) 90 - 93 Archimedes and Pi Thomas W. Shilgalis Developing Archimedes' recursion formulas. (82, 1989) 204 - 206 Not Just Any Three Points James M. Sconyers Sharing Teaching Ideas. Why must three points be noncollinear in order to determine a circle? (82, 1989) 436 - 437 Archimedes' Pi - An Introduction to Iteration Richard Lotspeich Using inscribed n-gons to develop approximations. (81, 1988) 208 - 210 Applying the Midpoint Theorem Richard J. Crouse Sharing Teaching Ideas. A circle which has as a diameter a segment with one endpoint on the x-axis and the other endpoint on the y-axis must pass through the origin. (81, 1988) 274 Lessons Learned While Approximating Pi James E. Beamer Approximations of pi. BASIC, FORTRAN, and TI55-II programs provided. 80, (1987) 154 - 159. Finding the Area of Regular Polygons William M. Waters, Jr. Finding the ratio of the area of one regular polygon to that of another when they are inscribed in the same circle. 80, (1987) 278 - 280 Circles and Star Polygons Clark Kimberling BASIC programs for producing the shapes. 78, (1985) 46 - 51. A Property of Inversion in Polar Coordinates James N. Boyd A demonstration of the fact that inversion preserves angle size. 78, (1985) 60 - 61. An "Ancient/Modern" Proof of Heron's Formula William Dunham Utilizing Heron's inscribed circle and some trigonometric results. 78, (1985) 258 - 259. The Shoemaker's Knife - an Approach of the Polya Type Shlomo Libeskind and Johnny W. Lott The arbelos and some circle geometry. The solution of a given problem by looking at a transformed problem. 77, (1984) 178 - 182. A Useful Old Theorem W. Vance Underhill Applications of Ptolemy's theorem. 76, (1983) 98 - 100. Inversion in a Circle: A Different Kind of Transformation Martin P. Cohen An analytic introduction to inversion. 76, (1983) 620 - 623. More Related Geometric Theorems Joseph V. Roberti Theorems related to the result on the lengths of segments formed when secants meet outside a circle. 75, (1982) 564 - 566. A Present From My Geometry Class Andy Pauker A look at the product of segments of secants of a circle. 73, (1980) 119 - 120. Getting The Most Out Of A Circle Joe Donegan and Jack Pricken Polygons determined by six equally spaced points on a circle. 73, (1980) 355 - 358. Are Circumscribable Polygons Always Inscribable? Joseph Shin Develops a condition under which they will be. 73, (1980) 371 - 372. Writing Equations For Intersecting Circles Richard J. Hopkinson A method for guaranteeing that two circles will meet at points having integer coordinates. 72, (1979) 296 - 298. A Unification Of Two Famous Theorems From Classical Geometry Eli Maor Looks at the product of the lengths of segments of intersecting secants of a circle. 72, (1979) 363 - 367. On The Radii Of Inscribed and Escribed Circles Of Right Triangles David W. Hansen Develops relations between these radii and the area of a right triangle. 72, (1979) 462 - 464. A Different Look At pi r*r William D. Jamski Dividing a circle into n congruent sectors, then reassembling into a "quadrilateral". 71, (1978) 273 - 274. The Three Coin Problem: Tangents, Areas and Ratios Bonnie H. Litwiller and David R. Duncan Finding the area of the "triangle" formed by three mutually tangent circles. 69, (1976) 567 - 569. Discovering A Congruence Theorem: A Project Of A Geometry For Teachers Class Malcolm Smith Demonstrating that corresponding chords of homothetic circles are parallel. 65, (1972) 750 - 751. Are Circles Similar? Paul B. Johnson Circles in a plane and on a sphere. 59, (1966) 9 - 13. The Circle Of Unit Diameter J. Garfunkel and B. Leeds The use of a circle having diameter one in establishing geometric results. There is also some trigonometry. 59, (1966) 124 - 127. Radii Of The Apollonius Contact Circles C. N. Mills Development of formula for the radii. 59, (1966) 574 - 576. How Ptolemy Constructed Trigonometry Tables Brother T. Brendan Contains some geometry of the circle. 58, (1965) 141 - 149. A Deceptively Easy Problem Jack M. Elkin Deals with chords of a circle. 58, (1965) 195 - 199. Some Remarks Concerning Families Of Circles and Radical Axes James A. Bradley, Jr. Systems of circles determined by two circles. 57, (1964) 533 - 536. How To Find The Center Of A Circle Kardy Tan Four constructions. 56, (1963) 554 - 556. A Chain Of Circles Rodney T. Hood An application of inversion. 54, (1961) 134 - 137. Some Related Theorems On Triangles and Circles J. D. Wiseman, Jr. Medians of isosceles triangles and chords of circles. 54, (1961) 14 - 16. The Problem Of Apollonius N. A. Court History, solutions, recent developments. 54, (1961) 444 - 452. A Problem With Touching Circles John Satterly Construction of sets of tangent circles. 53, (1960) 90 - 95. Lengths Of Chords and Their Distances From The Center Hale Pickett A theorem and a construction. 50, (1957) 325 - 326. Teaching The Formula For Circle Area Jen Jenkins A suggested method. 49, (1956) 548 - 549. A Model For Visualizing The Formula For The Area Of A Circle Clarence Olander How to construct it. 48, (1955) 245 - 246. The Problem Of Napoleon C. N. Mills Finding the center and radius of a circle. 46, (1953) 344 - 345. A Circle Device For Demonstrating Facts Which Relate To Inscribed Angles Emil J. Berger Construction and use. 46, (1953) 579 - 581. A Teaching Device For Geometry Related To The Circle M.H. Ahrendt A device for working with inscribed polygons. 45, (1952) 67 - 68. Relations For Radii Of Circles Associated With The Triangle Herta Taussig Freitag Inradius, circumradius, etc. 45, (1952) 357 - 360. Incenter Demonstrator Emil J. Berger Its construction and use. 44, (1951) 416 - 417. Escribed Circles Joseph Nyberg Some trigonometric results and geometry of the circle. 40, (1947) 68 - 70. Dynamic Geometry John F. Schact and John J. Kinsella The use of triangle and quadrilateral linkages as teaching devices. Contains some geometry of the circle. 40, (1947) 151 - 157. The Hyperbolic Analogues Of Three Theorems On The Circle Joseph B. Reynolds Deals with the product of segments formed by two intersecting lines which meet a circle. 37, (1944) 301 - 303. The Principle Of Continuity Francis P. Hennessey Some results on polygons and circles. 24, (1931) 32 - 40. Circles Through Notable Points Of The Triangle Richard Morris Circles through three, four, five, and six points. A general theorem. 21, (1928) 63 - 71. Original Solution In Plane Geometry Robert A. Laird The points of intersection of external tangents drawn between any two three circles of different sizes, in turn, lie on a straight line. 15, (1922) 361 - 364. Inscribing Regular Pentagons and Decagons Joseph Bowden Analytic proof of the construction proposed. 8, (1915-1916) 89 - 91. Approximate Values Of pi Wilfred H. Sherk Six approaches. 2, (1909-1910) 87 - 930 COMPLEX NUMBERS AND GEOMETRY A "Complex" Proof For A Geometric Construction Of A Regular Pentagon Gary E. Lambert Uses complex numbers to develop the proof. 72, (1979) 65 - 66. Line Reflections In The Complex Plane - A Billiard Player's Delight Gary L. Musser Applications, complex numbers, reflections, and aiming a cue ball. 71, (1978) 60 - 64. Real Transformations From Complex Numbers Robert D. Alexander Complex numbers and transformation geometry. 69, (1976) 700 - 709. From The Geoboard To Number Theory To Complex Numbers Donavan R. Lichtenberg Geometry related to some aspects of number theory. 68, (1975) 370 - 375. Solving Problems In Geometry By Using Complex Numbers J. Garfunkel Applications to three theorems, gives eight problems. 60, (1967) 731 - 734. Regular Polygons Robert C. Yates Complex numbers and regular polygons. 55, (1962) 112 - 116. Complex Numbers and Vectors In High School Geometry A.H. Pedley Possible applications. 53, (1960) 198 - 201. John Wallis and Complex Numbers D.A. Kearns History and some geometry. 51, (1958) 373 - 374. Applications Of Complex Numbers To Geometry Allan A. Shaw Many of the proofs are much like vector proofs. 25, (1932) 215 - 226. CONCURRENCY, COLLINEARITY, RATIO OF DIVISION Mathematics in Weighting Richard L. Francis Using templates to investigate several concepts. Included are squaring problems and the theorem of Pythagoras. (85, 1992) 388 - 390 Interesting Area Ratios Within A Triangle Manfried Olson and Gerald White Activities for investigating areas of triangles formed when the sides of an original triangle are subdivided. (82, 1989) 630 - 636 Illustrating the Euler Line James M. Rubillo Finding the coordinates of the points on the line. 80, (1987) 389 - 393. The Method Of Centroids In Plane Geometry Aron Pinker Proofs of classical theorems (Ceva, Steiner-Lehmus, etc.) 73, (1980) 378 - 385. A Discovery Activity In Geometry John H. Mathews and William A. Leonard Division ratios for Cevians. 70, (1977) 126. Auxiliary Lines and Ratios Donald W. Stoves Use in obtaining geometric results. Lines meeting inside a triangle. 60, (1967) 109 - 114. An Illustration Of The Use Of Vector Methods In Geometry Herbert E. Vaughan Some theorems about Cevians. 58, (1965) 696 - 701. A New Look At Medians Israel Koral Proof of a division ratio result. 51, (1958) 123. On Certain Cases Of Congruence Of Triangles Victor Thebault Congruence theorems related to division ratios. 48, (1955) 341 - 343. A Farewell (?) To Redians, Nedians, Cevians Merten T. Goodrich Figures determined by Cevians. 45, (1952) 44 - 46. Applications Sheldon S. Myers Use of Ceva's theorem in proportional variation. 45, (1952) 276 - 278. The Nedians Of A Plane Triangle John Satterly Concurrence of Cevians drawn to 1/n division points. 44, (1951) 46 - 48. The Centroid Demonstrator Mathematics Laboratory (Monroe H.S.) A device for demonstrating the concurrence of Cevians. 44, (1951) 138 - 139. More About Nedians Norman Anning Generalizations concerning 1/n division points. 44, (1951) 310 - 312. A Harmonic Divider Emil J. Berger Construction and use. 44, (1951) 417. Cevians, Nedians and Redians Alan Wayna An area ratio approach to the theorems of Menelaus and Ceva. 44, (1951) 496 - 497. Some Nedian Details Adrian Struyk Another approach to Cevians associated with 1/n division points. 44, (1951) 498 - 500. Still More About Nedians Marilyn R. Taig Applications to quadrilaterals. 44, (1951) 559 - 560. Centroids H. v. Baravalle Constructions. Experiments for locating. 40, (1947) 241 - 249. CONIC SECTIONS Folded Paper, Dynamic Geometry, and Proof: A Three-Tier Approach to the Conics Daniel P. Scher Folding conics and constructing Sketchpad models. (889, 1996) 188 - 193 A Direct Derivation of the Equations of the Conic Sections Duane DeTemple Deriving the equations by direct appeal to the geometry of a sliced cone. (83, 1990) 190 - 193 Constructing Ellipses Margaret S. Butler Sharing Teaching Ideas. A discussion of the Trammel method. (81, 1988) 189 - 190 Spheres in a Cone; or, Proving the Conic Sections David Atkinson Using Dandelin's spheres to prove that the conics are indeed sections of a cone. 80, (1987) 182 - 184. Halley's Comet in the Classroom Peter Broughton Activities involved with the motion of the comet. Construction of a model showing the relation between the comet's orbit and the orbit of the earth. 79, (1986) 85 - 89. (see note Sept. 1986, p. 485) An Alternate Perspective on the Optical Property of Ellipses Kenzo Seo A proof of the property. 79, (1986) 656 - 657. Parabella Alfinio Flores A conic parody of Cinderella. 78, (1985) 30 - 33. The Geometry of Microwave Antennas William R. Parzynski Reflective properties of parabolas and hyperbolas. An analytic approach. 77, (1984) 294 - 296. Constructing The Parabola Without Calculus Maxim Bruckheimer and Rina Herschkowitz Three methods. 70, (1977) 658 - 662. Do Similar Figures Always Have The Same Shape Paul G. Kumpel, Jr. Transformational geometry applied to conics with a hint about cubics. 68, (1975) 626 - 628. The Golden Ratio and Conic Sections G. Ralph Verno The golden ratio related to the intersection of conics. 67, (1974) 361 - 363. Some Methods For Constructing The Parabola Joseph E. Ciotti Four methods for sketching parabolas. 67, (1974) 428 - 430. New Conic Graph Paper Kenneth Rose A technique for drawing families of conics. 67, (1974) 604 - 606. The Limits Of Parabolas James M. Sconyers What happens when the distance between the focus and the directrix varies? 67, (1974) 652 - 653. Conics From Straight Lines and Circles Evan M. Maletsky Activities leading to the construction of conics. 66, (1973) 243 - 246. Conic Sections In Relation To Physics and Astronomy Herman v. Baravalle Models, diagrams, applications. 63, (1970) 101 - 109. Quadrarcs, St. Peter's and The Colloseum N.T. Gridgeman How does one distinguish between an ellipse and an oval? 63, (1970) 209 - 215. Elliptic Parallels N.T. Gridgeman Curves which are everywhere equidistant from a given ellipse. 63, (1970) 481 - 485. A Psychedelic Approach To Conic Sections William A. Miller Generating conics with overhead transparencies (Moire patterns). 63, (1970) 657 - 659. Why Not Relate The Conic Sections To The Cone? W. K. Viertel Developing the usual sum of distances property for an ellipse by use of a cone. 62, (1969) 13 - 15. Classroom Inquiry Into The Conic Sections Arthur Coxford Activities involving constructions and discovery of properties. 60, (1967) 315 - 322. A Geometric Approach To The Conic Sections Sister Maurice Marie Byrne, O.S.U. Constructions. 59, (1966) 348 - 350. A Compass-Ruler Method For Constructing Ellipses On Graph Paper Samuel Kaner Title tells all. 58, (1965) 260 - 261. Deductive Proof Of Compass-Ruler Method For Constructing Ellipses Henry D. Snyder Proof that the method given in the article by Kaner (see immediately above) works. 58, (1965) 261. Conic Sections and Their Constructions Sister M. Annunciata Burbach, C.P.P.S. Equations and construction techniques. 56, (1963) 632 - 635. Johan de Witt's Kinematical Constructions Of The Conics Joy B. Easton History and techniques. 56, (1963) 632 - 635. Trammel Method Construction Of The Ellipse C.I. Lubin and D. Mazekewitsch Also includes some theory. 54, (1961) 609 - 612. The Names "Ellipse", "Parabola" and "Hyperbola" Howard Eves History. 53, (1960) 280 - 281. Simple Paper Models Of The Conic Sections Ethel Saupe Methods for construction. 48, (1955) 42 - 44. Theme Paper, A Ruler, and The Hyperbola Adrian Struyk A construction. 47, (1954) 29 - 30. The Quadrature Of The Parabola: An Ancient Theorem In Modern Form Carl Boyer Uses determinants and the method of exhaustion. Some history. 47, (1954) 36 - 37. Theme Paper, A Ruler, and The Central Conics Adrian Struyk Constructions. 47, (1954) 189 - 193. Tangent Circles and Conic Sections William Gilbert Miller A conic as the locus of centers of circles tangent to two given circles. 46, (1953) 78 - 81. An Optical Method For Demonstrating Conic Sections Leland D. Hemenway A device for producing a conical beam of light. 46, (1953) 428 - 429. Theme Paper, A Ruler, and The Parabola Adrian Struyk A construction. 46, (1953) 588 - 590. Demonstration Of Conic Sections and Skew Curves With String Models H. v. Baravalle The construction and uses of such devices. 39, (1946) 284 - 287. The Hyperbolic Analogues Of Three Theorems On The Circle Joseph B. Reynolds The circle theorems are those which concern intersecting lines which meet a circle in two points. 37, (1944) 301 - 303. A Lesson On The Parabola, With Emphasis On Its Importance In Modern Life Chester B. Camp Analytic approach. Applications. 35, (1942) 59 - 63. Conic Sections Formed By Some Elements Of A Plane Triangle Aaron Bakst Locus problems leading to lines and conics. 24, (1931) 28 - 31. CONNECTIONS Illustrating Mathematical Connections: A Geometric Proof of Euler's Theorem Erin K. Fry and Peter L. Glidden Using the sum of the measures of the face angles. (889, 1996) 62 - 65 Technology and Reasoning in Algebra and Geometry Daniel B. Hirschhorn and Denisse R. Thompson Explorations to foster reasoning in mathematics. The geometry portion utilizes dynamic software. (889, 1996) 138 - 142 Making Connections: Spatial Skills and Engineering Drawings Beverly G. Baartmans and Sheryl A. Sorby Orthographic drawings and isometric drawings. (889, 1996) 348 - 357 Where Are We? Charles Wavaris and Timothy V. Craine Activities for exploring longitude and latitude. Construction of a gnomon. Time zones. (889, 1996) 524 - 534 Multiple Connections Rose Mary Zbiek Width-length-perimeter graphs and width-length-area graphs. (889, 1996) 628 - 634 Geometry, Iteration, and Finance A. Landy Godbold, Jr. Relation of calculation of balances to transformations on the number line. (889, 1996) 646 - 651 Match Geometric Figures with Trigonometric Identities Guanshen Ren Connections between geometric configurations and trigonometric identities. (88, 1995) 24 - 25 Connecting Geometry and Algebra: Geometric Interpretations of Distance Terry W. Crites Primarily as areas under curves. (88, 1995) 292 - 297 A Geometric Approach to the Discriminant R. Daniel Hurwitz Characterizing the number of real solutions to a quadratic equation by investigating the intersections of a parabola and a line. (88, 1995) 323 - 325 Guidelines for Teaching Plane Isometries In Secondary School Adela Jaime and Angel Gutiérrez Connecting Research to Teaching. Isometries as a link for different branches of mathematics or for mathematics and other sciences. (88, 1995) 591 - 597 Geometry in English Wheatfields The geometry and diatonic ratios of crop circles. (88, 1995) 802 Making Connections by Using Molecular Models in Geometry Robert Pacyga Implementing the Curriculum and Evaluation Standards. Relating models to compounds found in chemistry. Connecting mathematics, science, and English. (87, 1994) 43 - 46 Geometry and Poetry Betty B. Thompson Sharing Teaching Ideas. Reading poems to find one which conjure up geometric images and then illustrating the idea graphically. (87, 1994) 88 Albrecht Durer's Renaissance Connections between Mathematics and Art Karen Doyle Walton Some of Durer's geometric work is discussed. (87, 1994) 278 - 282 Word Roots in Geometry Margaret E. McIntosh Suggestions for a unit on word study in geometry. (87, 1994) 510 - 515 The Functions of a Toy Balloon Loring Coes III Activities. Connections between algebra and geometry. (87, 1994) 619 - 622, 627 - 629 Mathematical Ties That Bind Peggy A. House Questions about neckties. Many are geometrical in nature. (87, 1994) 682 - 689 CONSTRUCTIONS Two Egyptian Construction Tools John F. Lamb Jr. A level and a plumb level. (86, 1993) 166 - 167 Constructions with Obstructions Involving Arcs Dick A. Wood Five constructions (with solutions). (86, 1993) 360 - 363 Geographic Constructions Art Johnson and Laurie Boswell Integrating geography and constructions. (85, 1992) 184 - 187 The Toothpick Problem and Beyond Charalampos Toumasis Activities involving building geometric figures with toothpicks. (85, 1992) 543 - 545, 555 - 556 Geometric Patterns for Exponents Frances M. Thompson Construction of a series of shapes leading to meaning for exponents. (85, 1992) 746 - 749 Inscribing an "Approximate" Nonagon in a Circle John F. Lamb, Jr., Farhad Aslan, Ramona Chance, and Jerry D. Lowe A method discovered by an industrial designer. (84, 1991) 396 - 398 Two Geometry Applications Jan List Boal Problems which arise in the construction of a shuttle returner for a loom. (83, 1990) 655 - 658 Equilateral Triangles on an Isometric Grid Mark A. Spikell How many equilateral triangles of different sizes can be constructed on an isometric grid? (83, 1990) 740 - 743 Simple Constructions for the Regular Pentagon and Heptadecagon Duane W. DeTemple Two new constructions. (82, 1989) 361 - 365 Napoleon's Waterloo Wasn't Mathematics Jacquelyn Maynard Solutions for some of Bonaparte's favorite construction problems. (82, 1989) 648 - 653 Trisecting an Angle - Almost John F. Lamb, Jr. A discussion of the method of d'Ocagne. (81, 1988) 220 - 222 Dropping Perpendiculars the Easy Way Lindsay Anne Tartre An alternative technique for obtaining the perpendicular from a point to a line. 80, (1987) 30 - 31. Tape Constructions Lisa Evered Using tape to do standard ruler-and-compass constructions. 80, (1987) 353 - 356. Some Challenging Constructions Joseph V. Roberti Nine triangle construction problems. 79, (1986) 283 - 287. Geometric Constructions Using Hinged Mirrors Jack M. Robertson Seven constructions which can be accomplished using a hinged mirror. 79, (1986) 380 - 386. Star Trek: A Construction Problem Using Compass and Straightedge Bee Ellington Spock is lost! Perform the indicated constructions in order to find him. 76, (1983) 329 - 332. Some Quick Constructions William M. Waters, Jr. Given angle ABC, construct a family of angles whose measures are one-half that of ABC. 75, (1982) 286 - 287. A New Angle For Constructing Pentagons John Benson and Debra Berkowitz Three problems leading to the construction of a regular pentagon. 75, (1982) 288 - 290. Constructions With An Unmarked Protractor Joe Dan Austin Six problems leading to the construction of segment AB given points A and B. 75, (1982) 291 - 295. Giving Geometry Students An Added Edge In Constructions Allan A. Gibb Ten tasks using an unmarked straightedge with parallel edges. 75, (1982) 296 - 301. An Improvement Of A Historic Construction Kim Iles and Lester J. Wilson Five means (geometric, arithmetic, etc.) included in one figure. 73, (1980) 32 - 34. Beyond The Usual Constructions Melfried Olson Activities leading to the Fermat point, Simpson line, etc. 73, (1980) 361 - 364. Duplicating The Cube With A Mira George E. Martin A method for solving the Delian problem with a Mira and a proof that it works. 72, (1979) 204 - 208. Constructing and Trisecting Angles With Integer Angle Measures Joe Dan Austin and Kathleen Ann Austin Which angles having integer measures can be constructed? Which of them can be trisected? Construction of regular polygons. 72, (1979) 290 - 293. Squaring The Circle - For Fun and Profit Arthur E. Hallerberg Eight problems leading to approximations of pi. 71, (1978) 247 - 255. From Polygons To Pi James E. Sconyers Activities for approximating pi. 71, (1978) 514. Completing The Problem Of Constructing A Unit Segment From SQR(x) Joe Dan Austin The final step in the solution of the problem. 71, (1978) 664 - 666. Using The Compass and The Carpenter's Square: Construct the Cube Root of 2 Jack R. Westwood Method and proof. 71, (1978) 763 - 764. Anyone Can Trisect An Angle Hardy C. Ryerson Using the trisectrix or the cissoid. 70, (1977) 319 - 321. There Are More Ways Than One To Bisect An Angle Allan A. Gibb Six methods for angle bisection. 70, (1977) 390 - 393. What Can Be Done With A Mira? Johnny W, Lott Euclidean constructions with a Mira. 70, (1977) 394 - 399. Constructions With Obstructions Shmuel Avital and Larry Sowder Eight familiar constructions with constraints. 70, (1977) 584 - 588. Given A Length SQR(x), Construct The Unit Segment - An Unfinished Problem For Geometry Students Edward J. Davis and Thomas Smith Compass and straightedge techniques. Suggestions for further research. 69, (1976) 15 - 17. Given A Length SQR(x), Construct The Unit Segment - A Response The collected results of many submissions to the Editor. Solutions to some aspects of the problem. 69, (1976) 485 - 490. Of Shoes - and Ships - and Sealing Wax - Of Barber Poles and Things Ernest R. Ranucci Construction and uses of helical designs. 68, (1975) 261 - 264. Geometric Generalizations Leslie H. Miller and Bert K. Waite Given the midpoints of the sides to construct a polygon, generalized to a situation in which points dividing the sides in certain ratios are given. One transformational proof. 67, (1974) 676 - 681. A Student's Construction Donald W. Stover Construction of the parallel through a point. 66, (1973) 172. The Shoemaker's Knife Brother L. Raphael, F.S.C. Properties of an arbelos. 66, (1973) 319 - 323. A Note Concerning A Common Angle "Trisection" Donald R. Byrkit and William M. Waters, Jr. "Trisection" by trisecting the base of an isosceles triangle. 65, (1972) 523 - 524. Mission - Construction Charles E. Allen Activities for a unit on construction. 65, (1972) 631 - 634. Geometric Construction: The Double Straightedge William Wernick Euclidean constructions using a two-edged straightedge. 64, (1971) 697 - 704. The Five-Pointed Star Lee E. Boyer Construction of the figure. 61, (1968) 276 - 277. A New Approach To The Teaching Of Construction Zalman Usiskin A postulational development. 61, (1968) 749 - 757. Geometrical Solutions Of A Quadratic Equation Amos Nannini Some classical constructions involved. 59, (1966) 647 - 649. Introducing Number Theory In High School Algebra and Geometry Part 2, Geometry I. A. Barnett Pythagorean triangles, constructions, unsolvable problems. 58, (1965) 89 - 101. On Solutions Of Geometrical Constructions Utilizing The Compasses Alone Jerry P. Becker A demonstration that the Euclidean constructions can be accomplished using compasses alone. 57, (1964) 398 - 403. Trisection Of An Angle By Optical Means A. E. Hochstein A device which utilizes a semi-transparent mirror. 56, (1963) 522 - 524. A Triangle Construction N. C. Scholomiti and R. C. Hill Given the lengths of the perpendicular bisectors of the sides, construct the triangle. 56, (1963) 323 - 324. Trammel Method Construction Of The Ellipse C.I. Lubin and D. Mazkewitsch Method and theory. 54, (1961) 609 - 612. A Problem With Touching Circles John Satterly Construction of sets of tangent circles. 53, (1960) 90 - 95. George Mohr and Euclides Curiosi Arthur E. Hallerberg History and some fixed compass constructions. 53, (1960) 127 - 132. Graphing Pictures Frances Gross Sets of equations and inequalities to produce figures. 53, (1960) 295 - 296. Right Triangle Construction Nelson S. Gray Pythagorean triangles. 53, (1960) 533 - 536. Graphical Construction Of A Circle Tangent To Two Given Lines and A Circle D. Mazkewitsch Title tells all. 52, (1959) 119 - 120. A Heart For Valentines Day Mae Howell Kieber Straightedge and compass construction. 52, (1959) 132. The Geometry Of The Fixed Compass Arthur E. Hallerberg History and constructions. 52, (1959) 230 - 244. Trisecting Any Angle Alex J. Mock A central angle of a circle cannot be trisected by trisecting the arc. 52, (1959) 245 - 246. Angle Trisection - An Example Of "Undepartmentalized" Mathematics Rev. Brother Leo, O.S.F. A method for angle trisection. 52, (1959) 354 - 355. Trisecting An Angle C. Carl Robusto Several methods. 52, (1959) 358 - 360. Similar Polygons and A Puzzle Don Wallin Construction problems and similar polygons. 52, (1959) 372 - 373. Trisecting An Angle Hale Pickett Trisecting an arc does not trisect the angle. 51, (1958) 12 - 13. Mascheroni Constructions N. A. Court History and bibliography. 51, (1958) 370 - 372. Squaring A Circle Juan E. Sornito A method. 50, (1957) 51 - 52. Mascheroni Constructions Julius H. Hlavaty An approach to compass alone constructions. 50, (1957) 482 - 487. The Tomahawk Bertram S. Sachman An angle trisection device. 49, (1956) 280 - 281. Curves Of Constant Breadth William J. Hazard Constructions based on an equilateral triangle and a regular pentagon. 48, (1955) 89 - 90. Involution Operated Geometrically Juan E. Sornito Constructing a segment of length a to the nth. 48, (1955) 243 - 244. An Individual Laboratory Kit For The Mathematics Student Nona Mae Allard The construction of an angle bisector and an angle trisector. 47, (1954) 100 - 101. Euclidean Constructions Robert C. Yates Four compass and straightedge constructions. 47, (1954) 231 - 233. Golden Section Compasses Margaret Joseph Construction of a device for the construction of the golden ratio. 47, (1954) 338 - 339. Tangible Arithmetic II: The Sector Compasses Florence Wood Uses for a scaled compass. 47, (1954) 535 - 542. Inscribing A Square In A Triangle Martin Hirsch Construction and proof. 46, (1953) 107 - 108. Can We Outdo Mascheroni? Wm. Fitch Cheney, Jr. Compass only constructions. 46, (1953) 152 - 156. A New Solution To An Old Problem William H. Kruse Inscribing a square in a semi-circle. 46, (1953) 189 - 190. Trisection H. F. Jamison A discussion of two approximate trisections. 46, (1953) 342 - 344. Swale's Construction Adrian Struyk Finding the center and the radius of a circle. 46, (1953) 507 - 508, 524. A Novel Linear Trisection Adrian Struyk Segment trisection method. 46, (1953) 524. A Trisection Device Based On The Instrument Of Pascal The Mathematics Laboratory (Monroe High School) Construction and proof. 45, (1952) 287, 293. The Number pi H. v. Baravalle Contains some material on squaring the circle. 45, (1952) 340 - 348. Drawing A Circle With A Carpenter's Square Sheldon S. Myers How to accomplish the construction. 45, (1952) 367. A Method For Constructing A Triangle When The Three Medians Are Given John Satterly Title tells all. 45, (1952) 602 - 605. A Trisection Device Emil J. Berger An adaptation of the tomahawk. 44, (1951) 34. Euclidean Constructions With Well-Defined Intersections Howard Eves and Vern Hogatt A point of intersection of two loci is well-defined if the angle of intersection is larger than some specified angle. Four constructions, and their relations to Euclidean constructions are given. 44, (1951) 261 - 263. A Simple Trisection Device Emil J. Berger Construction and proof. 44, (1951) 319 - 320. An Angle Bisector Device Emil J. Berger Construction and proof. 44, (1951) 415. Let's Teach Angle Trisection Bruce E. Meserve Some approaches to the problem. 44, (1951) 547 - 550. Trisecting Any Angle Werner S. Todd A technique. 43, (1950) 278 - 279. A Graphimeter Howard Eves A locus problem and the uses of the resulting curve in constructions. 41, (1948) 311 - 313. A General Method For The Construction Of A Mechanical Inversor M. H. Ahrendt Peaucellier cells. 37, (1944) 75 - 80. The Trisector Of Amadori Marian E. Daniells An instrument for angle trisection. 33, (1940) 80 - 81. Laboratory Work In Geometry R. M. McDill Using square, protractor, compass, rule, scissors, etc. 24, (1931) 14 - 21. Why It Is Impossible To Trisect An Angle Or To Construct A Regular Polygon Of 7 or 9 Sides By Ruler and Compass Leonard Eugene Dickson Relation of the constructions to the solutions of cubic equations. 14, (1921) 217 - 223. Approximate Values Of pi Wilfred H. Sherk Six approaches. 2, (1909-1910) 87 - 93.) Interesting Work Of Young Geometers J. T. Rorer Three triangle theorems and an approximate trisection. 1, (1908-1909) 147 - 149. DISSECTION PROBLEMS Mathematical Iteration through Computer Programming Mary Kay Prichard Some of the problems involved are geometry related. Cutting figures, diagonals of a polygon, figurate numbers. (86, 1993) 150 - 156 Picture Play Leads to Algebraic Patterns Millie J. Johnson Sharing Teaching Ideas. Dissection of squares and cubes to picture algebraic identities. (86, 1993) 382 - 383 Symmetries of Irregular Polygons Thomas W. Shilgalis Investigating bilateral symmetry in irregular convex polygons. (85, 1992) 342 - 344 The Rug-cutting Puzzle John F. Lamb, Jr. Comments on a familiar dissection paradox. 80, (1987) 12 - 14. Geometric Proofs Of Algebraic Identities Virginia M. Horak and Willis J. Horak Most of the proofs are accomplished using dissections. 74, (1981) 212 - 216. A Different Look At pi r*r William D. Jamski Dividing a circle into n congruent sectors, then reassembling them to form a "quadrilateral". 71, (1978) 273 - 274. Tetrahexes Raymond E. Spaulding Activities involving congruence and symmetry. 71, (1978) 598 - 602. Tangram Mathematics Activities involving area relationships. 70, (1977) 143 - 146. Problem Number 10 George Lenchner Finding the area of a quadrilateral derived from a right triangle. 67, (1974) 608 - 609. More About Triangles With The Same Area and The Same Perimeter Donavan R. Lichtenberg A method for decomposing a triangle having a given perimeter and area into another having the same perimeter and area. 67, (1974) 659 - 660. The Classical Cake Problem Norman N. Nelson and Forest N. Fisch Slicing a cake so that each piece contains the same volume of cake and of frosting. 66, (1973) 659 - 661. Applications Of The Theorem Of Pythagoras In The Figure-Cutting Problem Frank Piwnicki Dissection of squares and rectangles. 55, (1962) 44 - 51. A Further Note On Dissecting A Square Into An Equilateral Triangle Chester A. Hawley Using only three cuts. 53, (1960) 119 - 123. Four More Exercises In Cutting Figures Mathematics Staff - University of Chicago Four dissection problems and their solutions. 51, (1958) 96 - 104. An Observation On Dissecting The Square Chester W. Hawley A classroom use for a dissection. 51, (1958) 120. New Exercises In Plane Geometry Mathematics Staff - University of Chicago Dissection problems. 50, (1957) 125 - 135. More New Exercises In Plane Geometry Mathematics Staff - University of Chicago Dissections. 50, (1957) 330 - 339. A Problem On The Cutting Of Squares Mathematics Staff - University of Chicago Two dissection problems. 49, (1956) 332 - 343. More On The Cutting Of Squares Mathematics Staff - University of Chicago Four dissection problems. 49, (1956) 442 - 454. Still More On The Cutting Of A Square Mathematics Staff - University of Chicago Any convex polygon is equivalent to a square. 49, (1956) 585 - 596. ENRICHMENT The Case of Trapezoidal Numbers Carol Feinberg-McBrian Activities for pattern investigations. (889, 1996) 16 - 24 Starting A Euclid Club Jeremiah J. Brodkey A student-faculty group discusses the Elements. (889, 1996) 386 - 388 Spiral Through Recursion Jeffrey M. Choppin Finding areas and perimeters of spirals created through recursive processes. (87, 1994) 504 - 508 Tournaments and Geometric Sequences Vincent P. Schielack, Jr. Relating the number of games in a tournament to the sum of a geometric sequence. (86, 1993) 127 - 129 Gary O's Fence Question David S. Daniels Ninth, tenth, eleventh, and twelfth-grade solutions for the problem of finding the amount of fence required for a baseball field. (86, 1993) 252 - 254 Mathematics in Baseball Michael T. Battista One section involves the geometry of baseball. (86, 1993) 336 - 342 The Shape of a Baseball Field Milton P. Eisner Determining the shape of an outfield fence utilizing conic sections, trigonometric functions, and polar coordinates. (86, 1993) 366 - 371 The Golden Ratio: A Golden Opportunity to Investigate Multiple Representations of a Problem Edwin M. Dickey Several ways of finding the value. (86, 1993) 554 - 557 Drilling Square Holes Scott G. Smith Using a Reuleaux triangle. (86, 1993) 579 - 583 Inflections on the Bedroom Floor Jack L. Weiner and G. R. Chapman Using the path of a folding door to illustrate the concept of a point of inflection. (This article would more appropriately be included in a calculus bibliography - however the end-of-year listing includes it under geometry.) (86, 1993) 598 - 601 The Silver Ratio: A Vehicle for Generalization Donald B. Coleman A discussion of a generalization of the golden ratio. (82, 1989) 54 - 59 Visualizing the Geometric Series Albert B. Bennett, Jr. Using regions in the plane to represent finite and infinite geometric series. (82, 1989) 130 - 136 The Peelle Triangle Alan Lipp Information which can be deduced from the triangle about points, lines, segments, squares, and cubes. A relation to Pascal's triangle. 80, (1987) 56 - 60. Periodic Pictures Ray S. Nowak Activities involving graphical symmetries produced by periodic decimals. BASIC program provided. 80, (1987) 126 - 137. Spheres in a Cone; or, Proving the Conic Sections David Atkinson Using Dandelin's spheres to prove that the conics are indeed sections of a cone. 80, (1987) 182 - 184. Finding the Area of Regular Polygons William M. Waters, Jr. Finding the ratio of the area of one regular polygon to that of another when they are inscribed in the same circle. 80, (1987) 278 - 280 Geometrical Adventures in Functionland Rina Hershkowitz, Abraham Arcavi, and Theodore Eisenberg Determining the change in area produced by making a change in some property of a particular figure. 80, (1987) 346 - 352. Tape Constructions Lisa Evered Using tape to do standard ruler-and-compass constructions. 80, (1987) 353 - 356. Crystals: Through the Looking Glass with Planes, Points, and Rotational Symmetries Carole J. Reesink Three-dimensional symmetry related to crystallographic analysis. Nets for constructing eight three-dimensional models are provided. 80, (1987) 377 - 389. Illustrating the Euler Line James M. Rubillo Finding the coordinates of the points on the line. 80, (1987) 389 - 393. Some Theorems Involving the Lengths of Segments in a Triangle Donald R. Byrkit and Timothy L. Dixon Proof of a theorem concerning the length of an internal angle bisector in a triangle. Other related results are included. 80, (1987) 576 - 579. Problem Solving in Geometry--a Sequence of Reuleaux Triangles James R. Smart Investigation of area relations for a sequence of Reuleaux triangles associated with an equilateral triangle and a sequence of medial triangles. 79, (1986) 11 - 14. Halley's Comet in the Classroom Peter Broughton Activities involved with the motion of the comet. Construction of a model showing the relation between the comet's orbit and the orbit of the earth. 79, (1986) 85 - 89. (see note Sept. 1986, p. 485) Reflection Patterns for Patchwork Quilts Duane DeTemple Forming patchwork quilt patterns by reflecting a single square back and forth between inner and outer rectangles. Investigating the periodic patterns formed. BASIC program included. 79, (1986) 138 - 143. Dirichlet Polygons--An Example of Geometry in Geography Thomas O'Shea Applications of Dirichlet polygons, including homestead boundaries and rainfall measurement. 79, (1986) 170 - 173. A Geometric Figure Relating the Golden Ratio and Pi Donald T. Seitz The ratio of a golden cuboid to that of the sphere which circumscribes it. 79, (1986) 340 - 341. An Interesting Solid Louis Shahin Can the sum of the edges, the surface, and the volume of a three-dimensional object be numerically equal? 79, (1986) 378 - 379. The Bank Shot Dan Byrne Geometry of similar triangles and reflections applied to pool. 79, (1986) 429 - 430, 487. Where Is the Ball Going? Jack A. Ott and Anthony Contento Examination of ball paths on a pool table. BASIC routine included. 79, (1986) 456 - 460. High Resolution Plots of Trigonometric Functions Marvin E. Stick and Michael J. Stick Some of the plots were part of a "mathematics in art" project in a high school geometry class. BASIC routines included. 78, (1985) 632 - 636. Chamelonic Cubes Gary Chartrand, Ratko Tosic, Vojislav Petrovic Cube coloring related to Instant Insanity and to Rubik's Cube. 76, (1983) 23 - 26. Enrichment Activities for Geometry Zalman Usiskin Four facets, 16 activities. 76, (1983) 264 - 266. The Teddy Bear That Stays Stranded Vernon Thomas Sarver, Jr. Given two boards try to retrieve a teddy bear from a circular island in a circular lake. 76, (1983) 496 - 497. A Student Run Geometry Contest Charles G. Ames Description and sample problems. 75, (1982) 142 - 143, 178. 1979 National Middle School Mathematics Olympiads In The People's Republic of China Jerry P. Becker There are some geometry problems provided. 75, (1982) 161 - 169. Some Applications Of The Circumference Formula Eugene F. Krause Looks at distances around various types of tracks and the effect of lane positions, finally comes to a consideration of the construction of train wheels. 75, (1982) 369 - 377. Geomegy or Geolotry: What Happens When Geology Visits Geometry Class? Carole J. Reesink Crystallography, axes, symmetry, activities, examples. 75, (1982) 454 - 461. Repeating Decimals, Geometric Patterns and Open-Ended Questions Robert L. McGinty and William Mutch Deals with geometric patterns derived using chords of a circle obtained utilizing the repeating decimal block for 1/p where p is a prime number. 75, (1982) 600 - 602. Some Strategy Games Using Desargues Theorem Andrew J. Salisbury Tic Tac Toe on a grid derived from the Desargues configuration. 75, (1982) 652 - 653. The Geometry Of Tennis Jay Graening The development of strategy (primarily ball placement) using triangle geometry. 75, (1982) 658 - 663. The Golden Ratio In Geometry Susan Martin Peeples Activities exploring Fibonacci numbers and the golden ratio. 75, (1982) 672 - 676, 685. Geometric Probability - A Source Of Interesting and Significant Applications Of High School Mathematics Richard Dahlke and Robert Fakler Probabilities related to area ratios. 75, (1982) 736 - 745. Mathematical Olympiad Competitions In The People's Republic of China Jerry P. Becker and Kathy C. Hsi There are several geometry problems presented and solved. 74, (1981) 421 - 433. Activities From "Activities": An Annotated Bibliography Christian A. Hirsch A list of articles from the "Activities" section. Geometry is on pages 47 - 49. 73, (1980) 46 - 50. Unsolved Problems In Geometry Lynn Arthur Steen A reprint from Science News. Lists and discusses several problems. 73, (1980) 366 - 369. A Student Presented Mathematics Club Program - Non-Euclidean Geometries Suggested program topics. 73, (1980) 451 - 452. Geometric Transformations and Music Composition Thomas O'Shea Relations between musical procedures (transposition, inversion, etc.) and transformations of the plane. 72, (1979) 523 - 528. Geometry Word Search Margaret M. Conway Word search game. 71, (1978) 269. Geodesic Domes In The Classroom Charles Lund Classroom activities related to the structure of geodesic domes. 71, (1978) 578 - 581. Geodesic Domes By Euclidean Construction M.J. Wenninger, O.S.B. The use of Euclidean constructions to determine chord factors, etc. 71, (1978) 582 - 587. Curve-Stitching The Cardioid and Related Curves Peter Catranides Some theory and instructions. 71, (1978) 726 - 732. A Mathematics Club Project From Omar Khyyam Beatrice Lumpkin Conics and a cubic equation. 71, (1978) 740 - 744. Finding Chord Factors Of Geodesic Domes Fred Blaisdell and Art Indelicato Some of the mathematics encountered in building a dome. 70, (1977) 117 - 124. The Orthotetrakaidecahedron - A Cell Model For Biology Classes M. Stroessel Wahl An application of geometry to biology. 70, (1977) 244 - 247. Maps: Geometry in Geography Thomas W. Shilgalis Projections from a sphere to a plane. 70, (1977) 400 - 404. Student Projects In Geometry Andrew A. Zucker Eighteen suggestions and a bibliography. 70, (1977) 567 - 700. Dual Concepts - Graphing With Lines (Points) Deloyd E. Steretz and Joseph D. Teeters An exhibition of duality. 70, (1977) 726 - 731. Discovery In One, Two, and Three Dimensions Lyle R. Smith Relationships involving segments, squares, and cubes. 70, (1977) 733 - 738. The Nine-Point Circle On A Geoboard Robert L. Jones Locating the nine points and the center. 69, (1976) 141 - 142. Minimal Surfaces Rediscovered Sister Rita M. Ehrmann Soap bubble experiments for Plateau's problem (find the surface of smallest area with a given boundary.) Soap film experiments for Steiner's problem (minimal linear linkage of points in a plane.) 69, (1976) 146 - 152. Coordinates For Lines: An Enrichment Activity Alan R. Osbourne Developing a system of coordinates for lines in a plane. 69, (1976) 264 - 267. Circles, Chords, Secants, Tangents, and Quadratic Equations Alton T. Olson Using geometric techniques to solve quadratic equations. 69, (1976) 641 - 645. The Design, Proof, and Placement Of An Inclined Gnomon Sundial Accurate For Your Locality Charles T. Wolf Title tells all. 68, (1975) 438 - 441. Paper Folds and Proofs Joan E. Fehlen Geometric results by paper folding. 68, (1975) 608 - 611. Rolling Curves Stanley A. Smith Activities involving curves of constant width. 67, (1974) 239 - 242. How To Draw Tessellations Of The Escher Type Joseph L. Teeters Methods for students to use in the creation of tessellations. 67, (1974) 307 - 310. Spirolaterals Frank C. Odds Figures derived from a logically constructed set of rules. 66, (1973) 121 - 124. On The Occasional Incompatibility Of Algebra and Geometry Margaret A. Farrell and Ernest R. Ranucci Situations in which geometric analysis indicates that an initial algebraic solution is incomplete. 66, (1973) 491 - 497. Fun With Flips Evan M. Maletsky Activities for introducing the concept of a locus as the path of a point moving under certain conditions. 66, (1973) 531 - 534. The Wheel Of Aristotle David W. Ballew A look at mathematical paradoxes. 65, (1972) 507 - 509. What? A Roller With Corners? John A. Dossey Closed curves of constant width. 65, (1972) 720 - 724. Mathematics On A Pool Table Nicholas Grant The use of geometric techniques for predicting into which pocket a ball will fall. 64, (1971) 255 -257. A Construction Of and Physical Model For Finite Euclidean and Projective Geometries William A. Miller Models utilizing squares and tori. Some development of theory. 63, (1970) 301 - 306. The Crossnumber Puzzle Solves A Teaching Problem Sheila Moskowitz A crossnumber puzzle involving geometric concepts. 62, (1969) 200 - 204. Modern Mathematics Or Traditional Mathematics Werner E. Buker Fagnano's problem and Dandelin's ellipse. 62, (1969) 665 - 669. In The Name Of Geometry Thomas P. Hillman and Barbara Sirois A crossword puzzle involving puns. 61, (1968) 264 - 265. Six Nontrivial Equivalent Problems Zalman Usiskin Two of the problems are geometric in nature. 61, (1968) 388 - 390. A Christmas Tree For 1968 Lucille Groenke An exercise in graphing. 61, (1968) 764. A Christmas Puzzle Sister Anne Agnes von Steger, C.S.J. Geometrically based. 60, (1967) 848 - 849. The Relation Between Distance and Sight Area Chew Chi-Ming The apparent length of an object related to its distance from the viewer. 58, (1965) 298 - 302. What To Do In A Mathematics Club Dolores Granito Some of the activities could be used for geometric enrichment. 57, (1964) 35 - 39. Approximating An Angle Division By A Sequence of Bisections Lyle E. Pursell Utilizes binary fractions. 57, (1964) 529 - 532. A Christmas Graph John D. Holcomb Graphing a snowman. 57, (1964) 560 - 561. Enrichment: A Geometry Laboratory Peter Dunn-Rankin and Raymond Sweet A discussion of possible activities. 56, (1963) 134 - 140. Christmas At Palm Beach High School - "The Geome Tree" Josephine M. Chaney Polyhedral tree ornaments. 55, (1962) 600 - 602. Construction and Evaluation Of Trigonometric Functions Of Some Special Angles James D. Bristol Applied geometry. 54, (1961) 4 - 7. The Cardioid Robert C. Yates Properties. 52, (1959) 10 - 14. Review Tests Can Be Different Louise Hazzard A crossnumber puzzle review test on area. 52, (1959) 133. Mobile Geometric Figures Alvin E. Ross Construction of mobiles to demonstrate geometric principles. 51, (1958) 375 - 376. Another Approach To The Nine-Point Circle John Satterly Also includes a proof of Feuerbach's theorem. 50, (1957) 53 - 54. An Unusual Application Of A Simple Geometric Principle Laura Guggenbuhl The law of cosines and plastic surgery. 50, (1957) 322 - 324. Fun With Graphs Paul S. Jorgensen Pictures by graphing. 50, (1957) 524 - 525. A Geometric Approach To Field-Goal Kicking Gerald R. Rosing On taking a five-yard penalty to obtain a "better angle". 47, (1954) 463 - 466. A Method Of Exhibiting The Theorem Of Pappus In The Classroom Norman Anning The construction of a device. 46, (1953) 50. Applications Sheldon S. Myers The height of a room, the law of lenses, the inverse squares law for light. 44, (1951) 141 - 143. Projects For Plane Geometry Marie L. Bauer Suggested projects for dealing with applications. 44, (1951) 235 - 239. Flying Saucers - A Project In Circles Nina Oliver Using geometric techniques and principles to decorate paper plates. 44, (1951) 355 - 357. Mathematics and Art William L. Schaff A bibliography which contains many entries which might be of use to geometry teachers. 43, (1950) 423 - 426. A Lesson In Appreciation: The Nine-Point Circle Robert E. Pingry A construction approach. 41, (1948) 314 - 316. The Mathematical Foundations Of Architecture Mary E. Craver Applications, constructions, ratios, examples. 32, (1939) 147 - 155. Art In Geometry Lorella Ahern Geometric enrichment through art applications. 32, (1939) 156 - 162. Paper Folding In Plane Geometry Sarah Louise Britton Finding the perpendicular bisector of a segment. 32, (1939) 227 - 228. Calculus Versus Geometry Claire Fisher Adler Geometric and calculus solutions of three extremum problems. 31, (1938) 19 - 23. The Mathematics Of The Sundial LaVergne Wood and Frances M. Lewis Applications of geometric principles. 29, (1936) 295 - 303. The Incommensurables Of Geometry E. T. Browne Irrational numbers and geometry. 27, (1934) 181 - 189. Constructing A Transit As A Project In Geometry T. L. Engle How to do it. 24, (1931) 444 - 447. Sources Of Program Material and Some Types Of Program Work Which Might Be Undertaken By High School Mathematics Clubs Ruth Hoag Suggested topics and bibliography. (Geometry 495 - 497.) 24, (1931) 492 - 502. Recreations For The Mathematics Club Byron Bently Contains some interesting geometric puzzles and fallacies. 23, (1930) 95 - 103. Geometric Proofs For Trigonometric Formulas Arthur Haas Functions of the sum and difference of angles. 23, (1930) 321 - 326. Geometry Humanized Erma Scott A play in one act. 21, (1928) 92 - 101. Applications Of Indeterminate Equations To Geometry M.O. Tripp Methods for finding integer sides for polygons. 21, (1928) 268 - 272. Stewart's Theorem, With Applications Richard Morris Three proofs. Applications. 21, (1928) 465 - 478. Note On The Fallacy Walter H. Carnahan Part of the segment equals the whole. 19, (1926) 496 - 498. Magic Circles Vera Sanford An example of 1920's Japanese mathematics. 16, (1923) 348 - 349. Japanese Problems Shige Hiyama From an 1818 manuscript. 16, (1923) 359 - 365. FINITE GEOMETRIES Projective Space Walk For Kirkman's Schoolgirls Sr. Rita Ehrmann Among other things it relates the classical problem to finite projective geometries. 68, (1975) 64 - 69. General Finite Geometries Steven H. Heath Finite systems in which parallelism is not unique. 64, (1971) 541 - 545. Developing A Finite Geometry Charles M. Bundrick, Robert C. Frazier, and Homer C. Gerber Details of the development of a model for a finite affine plane. 63, (1970) 487 - 492. A Coordinate Approach To The 25-Point Miniature Geometry Martha Heidlage Coordinatizing a 25-point affine plane. 58, (1965) 109 - 113. Geometric Diversions: A 25-Point Geometry Arthur F. Coxford, Jr. Some development of the geometry of the 25-point affine plane 57, (1964) 561 - 564. Applications Of Finite Arithmetic, III Roy Dubisch Lines in a finite plane. 55, (1962) 162 - 164. Finite Planes For The High School A. A. Albert Suggestions for presenting material on finite projective planes. 55, (1962) 165 - 169. Finite Planes and Latin Squares Truman Botts Developments in finite geometry. 54, (1961) 300 - 306. Miniature Geometries Burton W. Jones Finite projective planes. 52, (1959) 66 - 71. FOUNDATIONS OF GEOMETRY Starting A Euclid Club Jeremiah J. Brodkey A student-faculty group discusses the Elements. (889, 1996) 386 - 388 Mathematical Structures: Answering the "Why" Questions Doug Jones and William S. Bush Axiomatic structures. Suggestions for teaching mathematical structure appropriate for the secondary school. (889, 1996) 716 - 722 What Is a Quadrilateral? Lionel Pereira-Mendoza An activity designed to develop an understanding of the role of definitions in mathematics. (86, 1993) 774 - 776 Formal Axiomatic Systems and Computer Generated Theorems Michael T. Battista Using a microcomputer to develop an axiomatic system. 75, (1982) 215 - 220. Changing Postulates Can Provide Variety and Meaningful Learning Donald Mahaffey Proving the uniqueness of parallel lines as a consequence of an S.A.S. similarity postulate. 75, (1982) 677 - 679. Developing Mathematics On A Pool Table Thomas Ray Hamel and Ernest Woodward A mathematical system on a pool table, axioms, theorems and proofs. 70, (1977) 154 - 163. The Meaning Of Euclidean Geometry In School Mathematics Edwin E. Moise Remarks by a geometry educator. 68, (1975) 472 - 477. Independence Of The Incidence Postulates David C. Huffman A study of a set of incidence postulates. 62, (1969) 269 - 277. Mathematical Definition and Teaching Henri Poincare A discussion of the role of definitions in mathematics. 62, (1969) 295 - 304. The "New Mathematics" In Historical Perspective F. Lynwood Wren Definition 23 and postulates 1 - 5 of Book I of Euclid. 62, (1969) 579 - 584. A Proof Of The Space-Separation Postulate Charles A. McComas Utilizing plane separation and plane intersection. 61, (1968) 472 - 474. Euclidean and Other Geometries Bruce E. Meserve Euclidean, hyperbolic, spherical, and elliptic. 60, (1967) 2 - 11. On The Geometry Of Euclid M. C. Gemignani Primarily concerned with Euclid's attempts to define point and line. 60, (1967) 160 - 164. Equivalent Forms Of The Parallel Postulate Lucas N. H. Hunt Reprint from Euclides. Equivalences and proofs. 60, (1967) 641 - 652. Aba Daba Daba Betty Plunkett Independence of a postulate. 59, (1966) 236 - 239. Reflexive, Symmetric and Transitive Properties Of Relations Dorothy H. Hoy Examples using lines in a plane. 58, (1965) 201 - 210. Mathematics From The Modern Viewpoint Truman Botts and Leonard Pikaart Axiomatic development. 54, (1961) 498 - 504. Another View Of The Process Of Definition Robert S. Fouch The importance of understanding definitions. 48, (1955) 178, 186. The Meaning Of Mathematics C. E. Springer A discussion of the postulational method. 48, (1955) 453 - 459. Just What Is Mathematics William L. Schaff A bibliography of materials dealing with the nature and meaning of mathematics. 46, (1953) 515 - 516. Superposition Philip S. Jones A letter discussing the problems involved in the use of superposition. 45, (1952) 232 - 234. An Interpretation and Comparison Of Three Schools Of Thought In The Foundations Of Mathematics E. Russell Stabler Postulational, logical, and formalist approaches. 28, (1935) 5 - 35. To Postulate Or Not To Postulate Nelson A. Jackson How many first principles (which could be proved) should be postulated in a beginning course? 23, (1930) 194 - 196. Applications and Proofs E. Russell Stabler Use of postulates. 21, (1928) 46 - 48. Geometry Notes M. M. S. Moriarty Urges clearer statements of some postulates and more consistent treatment of others. 21, (1928) 280 - 291. Rigor Versus Expediency In The Proof Of Locus Originals Elmer B. Bowker Postulate freely and do not worry about redundancies. 20, (1927) 82 - 90. Postulates and Sequences In Euclid George W. Evans Some analysis of the Elements. 20, (1927) 310 - 320. Certain Undefined Elements and Tacit Assumptions In The First Book Of Euclid's Elements Harrison E. Webb Perceived aims in Euclid and a discussion of their attainment. 12, (1919-1920) 41 - 60. THE FOUR COLOR PROBLEM Some Colorful Mathematics Duane W. DeTemple and Dean A. Walker Activities involving the coloration of geometric objects. (889, 1996) 307 - 312, 318 - 320 A Map-Coloring Algorithm David Keeports A discussion of the four-color problem and an algorithm for four- coloring a large class of maps. (84, 1991) 759 - 763 Creativity With Colors Christian R. Hirsch Map-coloring activities. 69, (1976) 215 - 218. Map Coloring Norman K. Roth Suggestions for classroom activities in map coloring. 68, (1975) 647 - 653. A Topological Problem For The Ninth-Grade Mathematics Laboratory Jerome A. Auclair and Thomas P. Hillman Map coloring and a related exercise on the geoboard. 61, (1968) 503 - 507. The Four-Color Map Problem, 1840 - 1890 H.S.M. Coxeter History. 52, (1959) 283 - 289. Coloring Maps Mathematics Staff-University of Chicago Introducing the four color problem. 50, (1957) 546 - 550. FRACTALS AND CHAOS Some Pleasures and Perils of Iteration Lawrence O. Cannon and Joe Elich Solving equations by iteration. Relations to chaos theory and sensitivity to initial conditions. (86, 1993) 233 - 239 Building Fractal Models with Manipulatives Loring Coes, III Using tiles and interlocking cubes to build two and three dimensional models of self-similar objects. Discusses the self-similar dimension. (86, 1993) 646 - 651 The Mandelbrot Set in the Classroom Manny Frantz and Sylvia Lazarnick Introducing the Mandelbrot set in second-year-algebra and precalculus classes. (84, 1991) 173 - 177 Fractals and Transformations Thomas J. Bannon Self-similar fractals and iterated function systems. (84, 1991) 178 - 185 A Fractal Excursion Dane R. Camp Area and perimeter results for the Koch curve and surface area and volume results for three-dimensional analogs. (84, 1991) 265 - 275 Exploring Fractals - A Problem-solving Adventure Using Mathematics an Logo Jane F. Kern and Cherry C. Mauk Using Logo procedures to generate self-similar figures. (83, 1990) 179 - 185, 244 Chaos and Fractals Ray Barton A discussion of the chaos game and iterated function systems. (83, 1990) 524 - 529 The Sierpinski Triangle: Deterministic versus Random Models Margaret Cibes Two methods for the formation of a Sierpinski triangle. (83, 1990) 617 - 621 Supersolids: Solids Having Finite Volume and Infinite Surfaces William P. Love Forming solids of the indicated type. Some relation to fractal geometry. (82, 1989) 60 - 65 An Interesting Introduction to Sequences and Series John C. Egsgard Using the Koch snowflake curve. (81, 1988) 108 - 111 GEOBOARD Analyzing Teaching and Learning: The Art of Listening Bridget Arnold, Pamela Turner, and Thomas J. Cooney The relation to geometry is slight. The editors included it in the geometry section in the end-of-year index. A small amount of work with a geoboard. (889, 1996) 326 - 329 Multiple Solutions Involving Geoboard Problems Lyle R. Smith Finding areas and perimeters of polygons formed on a geoboard. (86, 1992) 25 - 29 Problem Solving on Geoboards Joe Kennedy A conjecture about the number of triangles which can be formed on an n x n geoboard. (86, 1993) 82 If Pythagoras Had a Geoboard Bishnu Naraine Activities for discovering the relationship among the areas of the four triangles determined by the squares constructed on the sides of a given triangle. (86, 1993) 137 - 140, 145 - 148 Start the Year Right - Discover Pick's Theorem Douglas Wilcock Motivating the theorem by asking for the area of a complicated polygon. (85, 1992) 424 - 425 Pick's Theorem Extended and Generalized Christopher Polis The extension is to lattices other than square lattices. The author was an eighth-grade student at the time the article was written. (84, 1991) 399 - 401 How Many Triangles? James M. Moses .... can be formed on a five by five geoboard? 78, (1985) 598 - 604. Triangles On A Grid Bob Willcutt Finding right triangles on a grid. Suggested related problems. 78, (1985) 608 - 614. Sum Squares On A Geoboard Revisited James E. L'Heureux More about the number of different squares on a geoboard. 75, (1982) 686 - 692. Perimeters Of Polygons On The Geoboard Lyle R. Smith Is it always possible to find a polygon with a given perimeter? 73, (1980) 127 - 130. Fractions On The Geoboard Ann E. Watkins and William Watkins Associating rational numbers with lattice points. 73, (1980) 133 - 139. The Pythagorean Theorem On An Isometric Geoboard James J. Hirstein and Sidney L. Rachlin Using area measures to establish the theorem of Pythagoras. 73, (1980) 141 - 144. Geoboard Geometry: A Minicourse For A Middle School Classroom John E. Feeney Lines, angles, polygons. A 30 day schedule is provided. 73, (1980) 675 - 678. Right Isosceles Triangles On The Geoboard Joe Dan Austin An exploration of number patterns (sum of integers, etc.). 72, (1979) 24 - 27. Extremal Problems On A Geoboard Johnny A. Lott and Hien Q. Nguyen Investigates the minimal number of interior diagonals of an n-gon. 72, (1979) 28 - 29. Square Roots and Geoboards Alice Mae Gucken A method for introducing the concept of a square root. 72, (1979) 354 - 355. The Surveyor and The Geoboard Ronald R. Steffani A surveyors method for determining area related to the geoboard. 70, (1977) 147 - 149. Sum Squares On A Geoboard James J. Camella and James D. Watson The number of different squares on a geoboard and their areas. 70, (1977) 150 - 153. The Nine-Point Circle On A Geoboard Robert L. Jones Locating the nine points and the center. 69, (1976) 141 - 142. From The Geoboard To Number Theory To Complex Numbers Donavan R. Lichtenberg Relating geometry and some aspects of number theory. 68, (1975) 370 - 375. A Non-Simply Connected Geoboard - Based On The "What If Not" Idea Philip A. Schmidt Geometry on a geoboard with one square missing. 68, (1975) 384 - 388. The Circular Geoboard - A Promising Teaching Device James W. Hutchison Activities on a circular geoboard. 68, (1975) 395 - 398. The Equivalence Of Euler's and Pick's Theorems Duane de Temple and Jack M. Robertson Proof of the equivalence and some suggestions for the use of the geoboard when dealing with the problem. 67, (1974) 222 - 226. "Thought Starters" For The Circular Geoboard Stanley M. Jenks and Donald M. Peck A sequence of investigations leading to results about angles and arcs of circles. 67, (1974) 228 - 233. An Open-Ended Problem On The Geoboard William J. Masalski How many squares of different sizes can be formed on a 6x6 geoboard? 67, (1974) 264 - 268. If Pythagoras Had A Geoboard William A. Ewbank The theorem and some variations on a geoboard. 66, (1973) 215 - 221. The Limit Concept On The Geoboard J.B. Harkin Pick's formula, generalized Pick's formula, applications to simple closed curves. 65, (1972) 13 - 17. A Topological Problem For The Ninth-Grade Mathematics Laboratory Jerome A. Auclair and Thomas P. Hillman Map coloring and a related exercise on the geoboard. 61, (1968) 503 - 507. A Multi-Model Demonstration Board Donovan A. Johnson A pegboard as a teaching aid. (Is this the first geoboard?) 49, (1956) 121 - 122. GEOMETRY AND ALGEBRA Connecting Geometry and Algebra: Geometric Interpretations of Distance Terry W. Crites Primarily as areas under curves. (88, 1995) 292 - 297 The Functions of a Toy Balloon Loring Coes III Activities. Connections between algebra and geometry. (87, 1994) 619 - 622, 627 - 629 Exhibiting Connections between Algebra and Geometry David R. Laing and Arthur T. White Situations in which the expression 2n/(n - 2) arises. (84, 1991) 703 - 705 The Peelle Triangle Alan Lipp Information which can be deduced from the triangle about points, lines, segments, squares, and cubes. A relation to Pascal's triangle. 80, (1987) 56 - 60. Periodic Pictures Ray S. Nowak Activities involving graphical symmetries produced by periodic decimals. BASIC program provided. 80, (1987) 126 - 137. Geometrical Adventures in Functionland Rina Hershkowitz, Abraham Arcavi, and Theodore Eisenberg Determining the change in area produced by making a change in some property of a particular figure. 80, (1987) 346 - 352. Nearly Isosceles Pythagorean Triples--Once More Hermann Hering A proof that every NIPT can be generated by the formula provided. 79, (1986) 724 - 725. Geometric Proof Of Algebraic Identities Virginia M. Horak and Willis J. Horak The proofs are primarily accomplished by dissections. 74, (1981) 212 - 216. Measure For Measure Harold Trimble Geometric views of several algebraic problems. 72, (1979) 217 - 220. Completing The Cube Barbara Turner Geometric models for summation formulas. 70, (1977) 67 - 70. The "Piling Up Of Squares" In Ancient China Frank Swetz History. Geometric solutions to algebraic problems. 70, (1977) 72 - 78. The Algebra and Geometry Of Polyhedra Joseph A. Troccolo Algebraic and geometric approaches to construction of polyhedra. 69, (1976) 220 - 224. Circles, Chords, Secants, Tangents, and Quadratic Equations Alton T. Olson Using geometric techniques to solve quadratic equations. 69, (1976) 641 - 645. Elementary Linear Algebra and Geometry via Linear Equations Thomas J. Brieski Relationship of the set of solutions of a homogeneous linear equation, the coordinate plane, and the set of transformations of the plane. 68, (1975) 378 - 383. On The Occasional Incompatibility Of Algebra and Geometry Margaret A. Farrell and Ernest R. Ranucci Situations in which geometric analysis indicates that an initial algebraic solution is incomplete. 66, (1973) 491 - 497. Geometric Solutions To Quadratic and Cubic Equations Harley B. Henning Geometric analogs of solutions of algebraic equations. 65, (1972) 113 - 119. Permutation Patterns Ernest R. Ranucci Geometric interpretations of permutations. 65, (1972) 333 - 338. Another Geometric Introduction To Mathematical Generalization H. L. Kung A geometric approach to the formula for the sum of the first n positive integers. 65, (1972) 375 - 376. On Proofs Of The Irrationality of SQR(2) V. C. Harris Contains one geometric proof. 64, (1971) 19 - 21. Abstract Algebra From Axiomatic Geometry J.D. MacDonald The derivation of an abstract algebraic structure from a projective geometry. 59, (1966) 98 - 106. Geometric Solutions Of A Quadratic Equation Amos Nannini Some classical constructions are involved. 59, (1966) 647 - 649. Vectors In Algebra and Geometry A. M. Glicksman Geometric results obtained by considering vectors and linear equations. 58, (1965) 327 - 332. Using Geometry In Algebra John H. White Similar triangles and navigation. 38, (1945) 58 - 63. Use Of Figures In Solving Problems In Algebra and Geometry Offa Neal Applied problems interpreted geometrically. 33, (1940) 210 - 212. GEOMETRY AND COMPUTERS Technology and Reasoning in Algebra and Geometry Daniel B. Hirschhorn and Denisse R. Thompson Explorations to foster reasoning in mathematics. The geometry portion utilizes dynamic software. (889, 1996) 138 - 142 Folded Paper, Dynamic Geometry, and Proof: A Three-Tier Approach to the Conics Daniel P. Scher Folding conics and constructing Sketchpad models. (889, 1996) 188 - 193 Theorems in Motion: Using Dynamic Geometry to Gain Fresh Insights Daniel P. Scher Construction of a constant-perimeter rectangle; a constant area rectangle. (889, 1996) 330 - 332 Using Interactive-Geometry Software for Right-Angle Trigonometry Charles Vonder Embse and Arne Englebretsen Directions for the exploration utilizing The Geometer's Sketchpad, Cabri Geometry II, and TI-92 Geometry. (889, 1996) 602 - 605 Geometry and Proof Michael T. Battista and Douglas H. Clements Connecting Research to Teaching. Discussion of research and instructional possibilities. Includes comments on computer programs and classroom recommendations. (88, 1995) 48 - 54 From Drawing to Construction with The Geometer's Sketchpad William F. Finzer and Dan S. Bennett Understanding the difference between a drawing and a construction. (88, 1995) 428 - 431 Conjectures in Geometry and The Geometer's Sketchpad Claudia Giamati Exploration as a foundation on which to base proof. (88, 1995) 456 - 458 Network Neighbors William F. Finzer An experiment in network collaboration using The Geometer's Sketchpad. (88, 1995) 475 - 477 Technology in Perspective Albert A. Cuoco, E. Paul Goldenberg, and Jane Mark Technology Tips. Constructions and investigations with dynamic geometry software. (87, 1994) 450 - 452 Teaching Relationships between Area and Perimeter with The Geometer's Sketchpad Michael E. Stone For all n-gons with the same perimeter, what shape will have the greatest area? Sketchpad investigations of the problem. (87, 1994) 590 - 594 Dynamic Geometry Environments: What's the Point? Celia Hoyles and Richard Noss Technology Tips. Constructions in Cabri Geometry. (87, 1994) 716 - 717 Mathematical Iteration through Computer Programming Mary Kay Prichard Some of the problems involved are geometry related. Cutting figures, diagonals of a polygon, figurate numbers. (86, 1993) 150 - 156 The Geometry Proof Tutor: An "Intelligent" Computer-based Tutor in the Classroom Richard Wertheimer A description of classroom experiences with the GPTutor. (83, 1990) 308 - 317 Students' Microcomputer-aided Exploration in Geometry Daniel Chazan Using the Geometric Supposers. (83, 1990) 628 - 635 Let the Computer Draw the Tessellations That You Design Jimmy C. Woods Gives BASIC routines to save time in the drawing of tessellations. (81, 1988) 138 - 141 Using Logo Pseudoprimitives for Geometric Investigations, Michael T. Battista and Douglas H. Clements A set of Logo procedures to allow the investigation of traditional geometric topics. (81, 1988) 166 - 174 Estimating Pi by Microcomputer Richard J. Donahoe Four BASIC programs using different techniques. (81, 1988) 203 - 206 Integrating Spreadsheets into the Mathematics Classroom Janet L. McDonald Some of the spreadsheets presented involve geometric investigations. (81, 1988) 615 - 622 Periodic Pictures Ray S. Nowak Activities involving graphical symmetries produced by periodic decimals. BASIC program provided. 80, (1987) 126 - 137. Lessons Learned While Approximating Pi James E. Beamer Approximations of pi. BASIC, FORTRAN, and TI55-II programs provided. 80, (1987) 154 - 159. Turtle Graphics and Mathematical Induction Frederick S. Klotz Revising the FD command in Logo. Links to inductive proofs. 80, (1987) 636 - 639, 654. Reflection Patterns for Patchwork Quilts Duane DeTemple Forming patchwork quilt patterns by reflecting a single square back and forth between inner and outer rectangles. Investigating the periodic patterns formed. BASIC program included. 79, (1986) 138 - 143. Logo and the Closed-Path Theorem Alton T. Olson Investigation of some plane geometry theorems utilizing Logo and the Closed-Path Theorem. Logo procedure included. 79, (1986) 250 - 255 The Geometric Supposer: Promoting Thinking and Learning Michal Yerushalmy and Richard A. Houde A description of classroom use of the Supposer. 79, (1986) 418 - 422. Logo in the Mathematics Curriculum Tom Addicks Using Logo to produce bar graphs and pie charts. 79, (1986) 424 - 428. Where Is the Ball Going? Examination of ball paths on a pool table. BASIC routine included. 79, (1986) 456 - 460. Circles and Star Polygons Clark Kimberling BASIC programs for producing the shapes. 78, (1985) 46 - 51. Investigating Shapes, Formulas, and Properties With LOGO Daniel S. Yates LOGO activities leading to results on areas and triangle geometry. 78, (1985) 355 - 360. (See correction p. 472.) Measuring the Areas of Golf Greens and Other Irregular Regions W. Gary Martin and Joao Ponto Divide the region into triangles having a common vertex at an interior point. BASIC program provided. 78, (1985) 385 - 389. A Piagetian Approach to Transformation Geometry via Microworlds Patrick W. Thompson The use of a computerized microworld called Motions to allow students to work with transformation geometry. 78, (1985) 465 - 471. Microworlds: Options for Learning and Teaching Geometry Joseph F. Aieta Using Logo in order to study relations in families of figures. Logo procedures provided. 78, (1985) 473 - 480. High Resolution Plots of Trigonometric Functions Marvin E. Stick and Michael J. Stick Some of the plots were part of a "mathematics in art" project in a high school geometry class. BASIC routines provided. 78, (1985) 632 - 636. A Square Share: Problem Solving with Squares Some geometry and work with Logo. 77, (1984) 414 - 420. Shipboard Weather Observation Richard J. Palmaccio Vector geometry applied to determining wind velocity from a moving ship. BASIC programs provided. 76, (1983) 165 - 169. Geometric Transformations On A Microcomputer Thomas W. Shilgalis Microcomputer programs for use in demonstrating motions and similarities. 75, (1982) 16 - 19. Formal Axiomatic Systems and Computer Generated Theorems Michael T. Battista The use of a microcomputer in the development of an abstract system. 75, (1982) 215 - 220. Visualization, Estimation, Computation Evan M. Maletsky Activities for investigating the manner in which the dimensions of a cone change as its shape changes. BASIC program provided. 75, (1982) 759 - 764. Using The Computer To Help Prove Theorems Louise Hay Using a computer in an attempt to generate possible counterexamples can be an aid toward finding a proof for the theorem. 74, (1981) 132 - 138. Computer Classification Of Triangles and Quadrilaterals - A Challenging Application J. Richard Dennis Computer application, uses coordinates of vertices. 71, (1978) 452 - 458. An Investigation Of Integral 60 degree and 120 degree Triangles Richard C. Muller Law of cosines investigation. Computer related. 70, (1977) 315 - 318. GRAPH THEORY Network Neighbors William F. Finzer An experiment in network collaboration using The Geometer's Sketchpad. (88, 1995) 475 - 477 Games, Graphs, and Generalizations Christian R. Hirsch Activities for some problems associated with geometry and graph theory. (81, 1988) 741 - 745 You Can't Get There From Here--An Algorithmic Approach to Eulerian and Hamiltonian Circuits Joan H. Shyers Graph theory discussion. 80, (1987) 95 - 98, 148. Charting A Classroom Cold Epidemic Catherine Folio An application of graph theory. 80, (1987) 204 - 206. Graphs and Games Christian R. Hirsch Activities for graph theory problems. 68, (1975) 125 - 132. Network Theory - An Enrichment Topic Charles A Reeves Euler's formula in the plane and in three-space. 67, (1974) 175 - 178. Garbage Collection, Sunday Strolls, and Soldering Problems Walter Meyer Some work with graph theory. 65, (1972) 307 - 308. Try Graph Theory For A Change Jon M. Laible The usual problems. (See correction 64, (1971) 138.) 63, (1970) 557 - 562. Jungle - Gym Geometry Ernest R. Ranucci Vertices in rectangular networks. 61, (1968) 25 - 28. GEOMETRIES OF DIMENSION GREATER THAN TWO Making Connections: Spatial Skills and Engineering Drawings Beverly G. Baartmans and Sheryl A. Sorby Orthographic drawings and isometric drawings. (889, 1996) 348 - 357 The Volume of a Sphere: A Chinese Derivation Frank J. Swetz A history of the development of the formula. (88, 1995) 142 - 145 Exploring Three- and Four-Dimensional Space Charlotte Williams Mack Activities. Building a model for a cube and representations of a hypercube. (88, 1995) 572 - 578, 587 - 590 Nested Platonic Solids: A Class Project in Solid Geometry Ronald B. Hopley Using solid models and nets. Calculating edge lengths. (87, 1994) 312 - 318 Practical Geometry Problems: The Case of the Ritzville Pyramids Donald Nowlin Volumes and surface areas of cones. (86, 1993) 198 - 200 The Method of Archimedes John del Grande Finding the volumes of various geometrical objects. (86, 1993) 240 - 243 The Excitement of Learning with Our Students -- an Escalator of Mathematical Knowledge Alan H. Hoffer Some of the discussion involves nets for the construction of polyhedra. (86, 1993) 315 - 319 The Volume of a Cone Boris Lavric Sharing Teaching Ideas. A method for demonstrating a development of the formula for the volume of a cone. (86, 1993) 384 - 385 Cube Challenge Judy Bippert Activities for promoting logical thinking skills in a spatial context. (86, 1993) 386 - 390, 395 - 398 Looking at Sum k and Sum k*k Geometrically Eric Hegblom Using squares and determining area, using cubes and determining volume. (86, 1993) 584 - 587 Illustrating Mathematical Connections: Two Proofs That Only Five Regular Polyhedra Exist Peter L. Glidden and Erin K. Fry A geometric proof and a graph-theoretic proof. (86, 1993) 657 - 661 Graphing a Solid: A Classroom Activity George Marino Sharing Teaching Ideas. Using three-dimensional coordinates and a distance formula to generate models of solids which students can build. (86, 1993) 734 - 737 Making Connections: Beyond the Surface Dan Brutlag and Carole Maples Dealing with scaling-surface area-volume relationships. (85, 1992) 230 - 235 Problem Solving with Cubes Christine A. Browning and Dwayne E. Channell Activities for developing spatial-reasoning skills. (85, 1992) 447 - 450, 458 - 460 Playing with Blocks: Visualizing Functions Miriam A. Leiva, Joan Ferrini-Mundy, and Loren P. Johnson Activities which could be used to develop spatial visualization. (85, 1992) 641 - 646, 652 - 654 A Fractal Excursion Dane R. Camp Area and perimeter results for the Koch curve and surface area and volume results for three-dimensional analogs. (84, 1991) 265 - 275 Calculating Surface Area Ray A. Krenek Sharing Teaching Ideas. Calculating the area of a rectangular solid and a cylinder. (84, 1991) 367 - 369 Estimating the Volumes of Solid Figures with Curved Surfaces Donald Cohen Gives examples of solid figures that students can use to develop estimating skills. (84, 1991) 392 - 395 The Circle and Sphere as Great Equalizers Steven Schwartzman Relations between parts of figures and inscribed figures. (84, 1991) 666 - 672 Some Discoveries with Right-Rectangular Prisms Robert E. Reys Activities for problem-solving experiences with area and volume. (82, 1989) 118 - 123 Interdimensional Relationships Joseph V. Roberti. A look at relationships suggested by the fact that the derivative of the area of a circle yields the circumference and the derivative of the volume of a sphere yields the surface area. (81, 1988) 96 - 100 Pyramids, Prisms, Antiprisms, and Deltahedra Donovan R. Lichtenberg A description of, and patterns for, some polyhedra which have faces that are regular polygons. (81, 1988) 261 - 265 Discovery With Cubes Robert E. Reys Activities for pattern investigation with cubes. (81, 1988) 377 - 381 Puzzles That Section Regular Solids William A. Miller Activities for developing a recognition of the surface formed when a solid is cut by a plane. (81, 1988) 463 - 468 Dodecagon of Fortune Dane R. Camp Sharing Teaching Ideas. A game for use during reviews. (81, 1988) 734 - 735 Discoveries with Rectangles and Rectangular Solids Lyle R. Smith Differentiating between area and perimeter for rectangles and between volume and surface area for rectangular solids. 80, (1987) 274 - 276. Crystals: Through the Looking Glass with Planes, Points, and Rotational Symmetries Carole J. Reesink Three-dimensional symmetry related to crystallographic analysis. Nets for constructing eight three-dimensional models are provided. 80, (1987) 377 - 389. A Geometric Figure Relating the Golden Ratio and Pi Donald T. Seitz The ratio of a golden cuboid to that of the sphere which circumscribes it. 79, (1986) 340 - 341. An Interesting Solid Louis Shahin Can the sum of the edges, the surface, and the volume of a three-dimensional object be numerically equal? 79, (1986) 378 - 379. The Spider and the Fly: A Geometric Encounter in Three Dimensions Rick N. Blake Eight problems involving a minimum path. 78, (1985) 98 - 104. Making Boxes Steve Gill Activities for measurement skills. Developing spatial relationships from two-dimensional patterns. 77, (1984) 526 - 530. Spatial Visualization Glenda Lappus, Elizabeth A. Phillips, and Mary Jean Winter Activities involving three-dimensional figures. Building shapes from cubes. 77, (1984) 618 - 625. Generating Solids Evan J. Maletsky Activities involving solids of revolution generated by polygons. 76, (1983) 499 - 500, 504 - 507. An Easy Dodecahedron Jean M. Shaw Construction of a model. 75, (1982) 380 - 382. Semiregular Polyhedra Rick N. Blake and Charles Verhille Activities for use in searching for patterns involved in the structure of polyhedra. 75, (1982) 577 - 581. Visualization, Estimation, Computation Evan M. Maletsky Activities for investigating the manner in which the dimensions of a cone change as the shape changes. BASIC program provided. 75, (1982) 759 - 764. A New Look Pythagoras Carol A. Thornton A 3-space extension of the theorem. 74, (1981) 98 - 100. Some Circular Reasoning Scott G. Smith Formulas for lateral areas. 74, (1981) 191 - 194. Spherical Geodesics William D. Jamski Finding the shortest distance between two points on a sphere. 74, (1981) 227 - 228, 236. A Model Of Three Space Jane Keller and Robert Anderson Description of a student developed model. 74, (1981) 350 - 353. Pythagoras On Pyramids Aggie Azzolino Activities involving the use of the theorem of Pythagoras to find the altitudes of pyramids. 74, (1981) 537 - 541. The Second National Assessment In Mathematics: Area and Volume James J. Hirstein A discussion of student results on these concepts. 74, (1981) 704 - 708. Sectioning A Regular Tetrahedron Edward J. Davis and Don Thompson Activities for the development of generalizations about sections of a tetrahedron. 73, (1980) 121 - 125. Applying The Technique Of Archimedes To The "Birdcage" Problem W. A. Stannard Finding the volume common to two intersecting cylinders. 72, (1979) 58 - 60. Facts Of A Cube Ruth Butler and Robert W. Clark Activities for the development of spatial visualization. 72, (1979) 199 - 202. Rectangular Solids With Integral Sides Robert W. Prielipp, John A. Aman and Norbert J. Kuenzi What happens geometrically if all side lengths are relatively prime? 72, (1979) 368 - 370. On Archimedean Solids Tom Boag, Charles Boberg and Lyn Hughes Junior high explorations using vertex sequences. 72, (1979) 371 - 376. Polyhedra Planar Projection Geraldine Daunis Activities for developing geometric perception. 72, (1979) 438 - 443. Painting Polyhedra Christian R. Hirsch Activities involving polyhedra. Euler's formula. 71, (1978) 119 - 122. A Recursive Approach To The Construction Of The Deltahedra William E. McGowan A guide for constructing polyhedra. 71, (1978) 204 - 210. An Easy-To-Paste Model Of The Rhombic Dodecahedron M. Stroessel Wahl Instructions for construction. 71, (1978) 589 - 593. Polycubes William J. Masalski Activities involving cubes. 70, (1977) 46 - 50. Polyhedra From Cardboard and Elastics John Woolaver Activities for construction. 70, (1977) 335 - 338. Hypercubes, Hyperwindows and Hyperstars Dean B. Priest Some n-dimensional geometry. 70, (1977) 606 - 609. Three Dimensional Geometry Gordon D. Pritchett Polyhedra construction. Platonic solids. Euler's formula. 69, (1976) 5 - 10. The Algebra and Geometry Of Polyhedra Joseph A. Troccolo Algebraic and geometric approaches to the building of polyhedra. 69, (1976) 220 - 224. A General Intersection Formula For Subspaces Of n-Dimension J. Taylor Hollist Generalizing to higher dimensions. 68, (1975) 153. Discovery With Cubes Robert E. Reys Activities for visualizing three dimensional figures. Looking for patterns. 67, (1974) 47 - 50. An Application Of Volume and Surface Area Robert W. Mercaldi A game for dealing with the concepts. 67, (1974) 71 - 73. The Fourth Dimension and Beyond ... With A Surprise Ending! Boyd Henry Patterns for familiar figures are extended to higher dimensions. 67, (1974) 274 - 279. Tetrahedral Frameworks Charles W. Trigg A model for the analysis of tetrahedral frameworks. 67, (1974) 415 - 418. The Volume Of The Regular Octahedron Charles W. Trigg Five methods of computation. 67, (1974) 644 - 646. Collapsible Models Of Isosceles Tetrahedrons Charles W. Trigg How to build them from envelopes and strips of triangles. 66, (1973) 109 - 112. Some Investigations Of N-dimensional Geometries Sallie W. Abbas Bounds and cross sections of n-dimensional figures. 66, (1973) 126 - 130. Soma Cubes George S. Carson Possible and impossible configurations. How to show that a design is impossible. 66, (1973) 583 - 592. Patterns and Positions Evan M. Maletsky Activities for visualizing a cube using two-dimensional patterns. 66, (1973) 723 - 726. The Total Angular Deficiency Of Polyhedra William L. Lepowsky Investigates the angles at the vertices of a polyhedron. 66, (1973) 748 - 752. Collapsible Models Of The Regular Octahedron Charles W. Trigg How to make them. 65, (1972) 530 - 533. Total Surface Area Of Boxes L. Carey Bolster Activities for investigation. 65, (1972) 535 - 538. A Look At Regular and Semiregular Polyhedra Carol E. Stengel History, interrelationships and properties. 65, (1972) 713 - 719. Viewing Diagrams In Four Dimensions Adrien L. Hess Representations of results in four-dimensional geometry. 64, (1971) 247 - 248. On Skewed Regular Polygons Ernest R. Ranucci Polygons whose elements are not coplanar. 64, (1971) 219 - 222. A Geometry Capsule Concerning The Five Platonic Solids Howard Eves History and occurrence in nature. 62, (1969) 42 - 44. What Points Are Equidistant From Two Skew Lines? Alexandra Forsythe Analytic approach. 62, (1969) 97 - 101. A Study Of The Ability Of Secondary School Pupils To Perceive The Plane Sections Of Selected Solid Figures Barbara L. Roe The title explains the content. 61, (1968) 415 - 421. Can Space Be Overtwisted? Douglas A. Engel Twisting chains of links of geometric figures. 61, (1968) 571 - 574. The World Of Polyhedra Rev. Magnus Wenninger History and theory. 58, (1965) 244 - 248. The History Of The Dodecahedron J. P. Phillips Applications also. 58, (1965) 248 - 250. The Mathematics Of The Honeycomb David F. Siemans, Jr. An explanation of the shapes in which bees build. 58, (1965) 334 - 337. Remarks On Some Elementary Volume Relations Between Familiar Solids A. L. Loeb The relation of volume to diagonal length. 58, (1965) 417 - 419. The Volume Of A Truncated Pyramid In Ancient Egyptian Papyri R. J. Gillings History and formulae. 57, (1964) 552 - 555. Stellated Rhombic Dodecahedron Puzzle Rev. M. Wenninger, O.S.B. Cardboard model. 56, (1963) 148 - 150. Interest In The Tetrahedron John J. Keough Some properties. 56, (1963) 446 - 448. The Construction Of Skeletal Polyhedra John McClellan Models and topological properties. 55, (1962) 106 - 111. Stalking Solid Geometry With Knife and Clay Jack Price Constructing clay models. 54, (1961) 47. The Wiequahic Configuration E. R. Ranucci Visualization in three space. 53, (1960) 124 - 126. A Historical Puzzle N. A. Court The altitudes of a tetrahedron. 52, (1959) 31 - 32. On Teaching Dihedral Angle and Steradian Howard Fehr Extension of the definition of angle in a plane. 51, (1958) 272 - 275. On Teaching Trihedral Angle and Solid Angle Howard Fehr Solid geometry methods suggestions. 51, (1958) 358 - 361. The "Steinmetz Problem" and School Arithmetic Richard M. Sutton The volume contained by the intersection of two cylinders. 50, (1957) 434 - 435. A Paper Model For Solid Geometry Ethel Saupe Prisms. 49, (1956) 185 - 186. Three Folding Models Of Polyhedra Adrian Struyk How to make them. 49, (1956) 286 - 288. Casting Geometric Models In Plaster-of-Paris Wallace L. Hainlin Model constructions. 48, (1955) 329. Fishline and Sinker Emil J. Berger A model for a polyhedral angle. 48, (1955) 408. A Model For Giving Meaning To Superposition In Solid Geometry Emil J. Berger Construction of teaching aids. 47, (1954) 33 - 35. Eureka Emil J. Berger The ratio of the surface area of a sphere to the lateral area of a circumscribed cylinder. 47, (1954) 105. A Tetrahedron With Planes Bisecting Three Dihedral Angles Emil J. Berger Construction of a model. 47, (1954) 186 - 188. Parallelogram and Parallelepiped Victor Thebault Theorems about diagonals. 47, (1954) 266 - 267. A Problem From Solid Geometry Emil J. Berger A sphere and a trihedral angle. 46, (1953) 505 - 506. Some Notes On The Prismoidal Formula B.E. Meserve and R.E. Pingry Volume formulas. 45, (1952) 257 - 263. Leonardo da Vinci and The Center Of Gravity Of A Tetrahedron John Satterly History and a proof. 45, (1952) 576 - 577. Models For Certain Pyramids Joseph A Nyberg Construction. 39, (1946) 84 - 85. Continuous Transformations Of Regular Solids H. v. Baravalle Relations between cube and tetrahedron, etc. 39, (1946) 147 - 154. Demonstration Of Conic Sections and Skew Curves With String Models H. v. Baravalle Construction and uses of models. 39, (1946) 284 - 287. Models Of The Regular Polyhedrons R. F. Graesser Construction. 38, (1945) 368 - 369. Teaching Solid Geometry Nancy C. Wylie Suggestions. 36, (1943) 126 - 127. Models In Solid Geometry Miles C. Hartley Models and theorems which they can be used to illustrate. 35, (1942) 5 - 7. Looking At Solid Geometry Through Perspective Ethel Spearman Using perspective drawings to deal with solid geometric concepts. 34, (1941) 147 - 150. A Helpful Technique In Teaching Solid Geometry James V. Bernardo Use of models. 33, (1940) 39 - 40. The Efficiency Of Certain Shapes In Nature and Technology May Hickey A suggested unit of instruction in intuitive solid geometry. 32, (1939) 129 - 133. The Dandelin Spheres Lee Emerson Boyer History and comments. 31, (1938) 124 - 125. The Teaching Of Solid Geometry At The University of Vermont G. H. Nicholson Approaches, objectives, techniques. 30, (1937) 326 - 330. The Tetrahedron and Its Circumscribed Parallelepiped N.A. Court Construction of the parallelepiped, some of its geometry and some geometry of the tetrahedron. 26, (1933) 46 - 52. Drawing For Teachers Of Solid Geometry John W. Bradshaw Part Four. Drawing solids bounded by the right circular cylinder and the sphere. 26, (1933) 140 - 145. Part Three. Techniques for drawing prisms. 19, (1926) 401 - 407. Part Two. Representing positions of points in space. 18, (1925) 37 - 45. Part One. Some beginning techniques. 17, (1924) 475 - 481. The Fourth Dimension Anice Seybold General discussion. 24, (1931) 41 - 45. The Fourth Dimension and Hyperspace Theresa Tremp A discussion of their nature. 19, (1926) 140 - 146. A Course In Solid Geometry William A. Austin Description, methods and content. 19, (1926) 349 - 361. Some Applications Of Algebra To Theorems In Solid Geometry Joseph B. Reynolds Volumes of solids. 18, (1925) 1 - 9. Reflections On Fourth Dimension A. N. Altieri A 1920's student view. 18, (1925) 490 - 495. The Extension Of Concepts In Mathematics Aubrey W. Kempner Infinite elements in geometry, non-Euclidean geometry, four-dimensional geometry. 16, (1923) 1 - 23. A Study Of The Cultivation Of Space Imagery In Solid Geometry Through The Use Of Models Edwin W. Schreiber Construction and use of models. 16, (1923) 103 - 111. The Volume Of A Sphere Proof of the formula. 15, (1922) 90 - 93. A Simple Method Of Constructing A Hyperbolic Paraboloid E.J. Guy A model. 12, (1919-1920) 28 - 29. A Geometric Representation E. D. Roe, Jr. The surface on which a family of spirals lies. Analytic approach. 11, (1918-1919) 9 - 25. A Geometric Representation E. D. Roe, Jr. Analytic geometry in space. 10, (1917-1918) 205 - 210. Geometric Stereograms - A Device For Making Solid Geometry Tangible To The Average Student Walter Francis Shenton The use of colored glasses and special drawings to produce 3-D effects. 8, (1915-1916) 124 - 131. Geometry Of Four Dimensions Henry P. Manning Results which are presented in more detail in the author's book which has the same title. 7, (1914-1915) 49 - 58. The Five Platonic Solids James H. Weaver Some of their properties. 7, (1914-1915) 86 - 88. The Way To Begin Solid Geometry Howard F. Hart Teaching methods. 4, (1911-1912) 54 - 57. Solid Geometry Howard F. Hart Some geometry on a sphere. 3, (1910-1911) 24 - 26. HISTORY OF GEOMETRY The Volume of a Sphere: A Chinese Derivation Frank J. Swetz A history of the development of the formula. (88, 1995) 142 - 145 Albrecht Durer's Renaissance Connections between Mathematics and Art Karen Doyle Walton Some of Durer's geometric work is discussed. (87, 1994) 278 - 282 Word Roots in Geometry Margaret E. McIntosh Suggestions for a unit on word study in geometry. (87, 1994) 510 - 515 Humanize Your Classroom with the History of Mathematics James K. Bidwell Some of the suggestions apply to the geometry classroom. (86, 1993) 461 - 464 A Chain of Influence in the Development of Geometry James E. Lightner A look at some early geometers and their influence on the next generation of geometers. (84, 1991) 15 - 19 Euclid and Descartes: A Partnership Dorothy Hoy Wasdovich Integrating coordinate and synthetic geometry. (84, 1991) 706 - 709 Using Problems from the History of Mathematics in Classroom Instruction Frank J. Swetz Some of the examples presented are geometric. (82, 1989) 370 - 377 When Did Euclid Live? An Answer Plus a Short History of Geometry Gail H. Adele A chronological table of geometric events. (82, 1989) 460 - 463 Did Gauss Discover That, Too? Richard L. Francis Is Gauss given proper credit (positive or negative) for various mathematical developments? 79, (1986) 288 - 293. Mathematical Firsts--Who Done It? Richard H. Williams and Roy D. Mazzagatti Historical comments relating names of objects and theorems to their actual discoverers. Includes the theorem of Pythagoras, Euler's polyhedral theorem, Mascheroni constructions, and Playfair's axiom. 79, (1986) 387 - 391. The Contributions of Karaji--Successor to al-Khwarizmi Hormoz Pazwash and Gus Mavrigian History. Some geometric ideas involved. 79, (1986) 538 - 541. An Astounding Revelation on the History of Pi Alfred S. Posamentier and Noam Gorden A reinterpretation of the biblical value of pi. 77, (1984) 52. Seeking Relevance? Try the History of Mathematics Frank J. Swetz Suggestions for incorporating historical material into secondary classroom presentations. Several geometrical aspects are included. 77, (1984) 54 - 62. The World of Buckminster Fuller Ernest R. Ranucci History. 71, (1978) 568 - 577. The "Piling Up of Squares" in Ancient China Frank Swetz History. Geometric solutions for algebraic problems. 70, (1977) 72 - 78. The Artist As Mathematician Norman Slawsky Explores the creative process in mathematics from the viewpoint of the history and development of geometry. 70, (1977) 298 - 308. President Garfield and The Pythagorean Theorem Robert Schloming History and Garfield's proof. 69, (1976) 686 - 687. Master of Tessellations: M.C. Escher, 1898-1972 Ernest R. Ranucci An account of Escher's contributions to geometry. 67, (1974) 299 - 306. Thabit ibn Qurra and The Pythagorean Theorem Robert Schloming History. 63, (1970) 519 - 528. Guido Fubini Clayton W. Dodge History. Some exercises on projection. 62, (1969) 45 - 46. The "New Mathematics" in Historical Perspective F. Lynwood Wren Definition 23 and postulates 1-5 of Book I of Euclid. 62, (1969) 579 - 584. A Medieval Proof Of Heron's Formula Yusef Id and E.S. Kennedy A proof by Al-Shanni. 62, (1969) 585 - 587. The Parallel Postulate Raymond H. Rolwing and Maita Levine Notes on attempts at proofs. 62, (1969) 665 - 669. The Position of Thomas Carlyle in the History of Mathematics Peter A. Wursthorn Contains some of his geometrical work. 59, (1966) 755 - 770. How Ptolemy Constructed Trigonometric Tables Brother T. Brendan Contains some geometry of the circle. 58, (1965) 141 - 149. Gaspard Monge and Descriptive Geometry Leo Gaffney, S.J. Some of the geometric work of Monge. 58, (1965) 338 - 343. Recent Evidences Of Primeval Mathematics Daniel B. Lloyd Geometry on the Tel Harmal tablets (c. 1800 B.C.). 58, (1965) 720 - 723. The Dawn Of Demonstrative Geometry Nathan Altshiller Court History. 57, (1965) 163 - 166. The Volume Of A Truncated Pyramid In Ancient Egyptian Papyri R.J. Gillings History and formulae. 57, (1964) 552 - 555. Johan de Witt's Kinematical Constructions Of The Conics Joy B. Easton History and techniques. 56, (1963) 632 - 635. Al-Biruni On Determining The Meridian E.S. Kennedy History and techniques. 56, (1963) 635 - 637. Notes On Inversion N.A. Court History. 55, (1962) 655 - 657. George Mohr and Euclides Curiosi Arthur E. Hallerberg History and some fixed compass constructions. 53, (1960) 127 - 132. The Names "Ellipse", "Parabola", and "Hyperbola" Howard Eves History. 53, (1960) 280 - 281. Why and How Should We Correct The Mistakes Of Euclid Paul H. Daus History and foundational comments. 53, (1960) 576 - 581. Omar Khayyam - Mathematician D. J. Struik History with some comments on the parallel postulate. 51, (1958) 280 - 285. Omar Khayyam's Solution Of Cubic Equations Howard Eves History with geometrical applications. 51, (1958) 285 - 286. Helmholtz and The Nature Of Geometrical Axioms: A Segment In The History Of Mathematics Morton R. Kenner Geometry and the work of Helmholtz. 50, (1957) 98 - 104. Curiosity and Culture F. Lynwood Wren Contains some material on the development of geometries. 50, (1957) 361 - 371. The Evolution Of Geometry Bruce E. Meserve History. 49, (1956) 372 - 382. Archytas' Duplication Of The Cube R. F. Graesser History. 49, (1956) 393 - 395. A New Ballad Of Sir Patrick Spens Phillip S. Jones Historical, a parody of an old ballad, dealing with the first propositions of Book I of Euclid. 48, (1955) 30 - 32. Tangible Arithmetic III: The Proportional Divider Lucille Pinetti History, uses, and proofs. 48, (1955) 91 - 95. Leonardo da Vinci and The Center Of Gravity Of A Tetrahedron John Satterly History and a proof. 45, (1952) 576 - 577. Early American Geometry Phillip S. Jones History. 37, (1944) 3 - 11. Some Of Euclid's Algebra George W. Evans Algebraic results in the Elements. 20, (1927) 127 - 141. Some Lovers Of The Conic Sections Margaret L. Chapin History. 19, (1926) 36 - 45. HOW SHOULD GEOMETRY BE TAUGHT? Concept Worksheet: An Important Tool for Learning Charalampos Toumasis The example presented is geometric in nature, it deals with the characterization of a parallelogram. (88, 1995) 98 - 100 Bringing Pythagoras to Life Donna Ericksen, John Stasiuk, and Martha Frank Sharing Teaching Ideas. A pursuit game with path a right triangle. The questions are related to the theorem of Pythagoras. (88, 1995) 744 - 747 Making Connections by Using Molecular Models in Geometry Robert Pacyga Implementing the Curriculum and Evaluation Standards. Relating models to compounds found in chemistry. Connecting mathematics, science, and English. (87, 1994) 43 - 46 Pi Day Bruce C. Waldner Mathematically related contests held on March 14 (i.e. 3/14). (87, 1994) 86 - 87 Geometry and Poetry Betty B. Thompson Sharing Teaching Ideas. Reading poems to find one which conjure up geometric images and then illustrating the idea graphically. (87, 1994) 88 Exploratory Geometry - Let the Students Write the Text Virginia Stallings-Roberts A description of a course. (87, 1994) 403 - 408 Technology in Perspective Albert A. Cuoco, E. Paul Goldenberg, and Jane Mark Technology Tips. Constructions and investigations with dynamic geometry software. (87, 1994) 450 - 452 Word Roots in Geometry Margaret E. McIntosh Suggestions for a unit on word study in geometry. (87, 1994) 510 - 515 Animating Geometry Discussions with Flexigons Ruth McClintock A flexigon is created by stringing together plastic straws of varying lengths in a closed loop. These tools are then used to investigate the geometry of polygons. (87, 1994) 602 - 606 An Active Approach to Geometry Arthur A. Hiatt and William E. Allen Sharing Teaching Ideas. A variation on the problem of finding a minimum path from A to B if you required to go through C. (87, 1994) 702 - 703 A Core Curriculum in Geometry Martha Tietze The use of hands-on activities in the third year of an integrated sequence for the non-college bound. (85, 1992) 300 - 303 Problem Solving with Cubes Christine A. Browning and Dwayne E. Channell Activities for developing spatial-reasoning skills. (85, 1992) 447 - 450, 458 - 460 Folding Perpendiculars and Counting Slope Ann Blomquist Sharing Teaching Ideas. Folding activities to discover relations between slopes of perpendicular lines. (85, 1992) 538 - 539 Playing with Blocks: Visualizing Functions Miriam A. Leiva, Joan Ferrini-Mundy, and Loren P. Johnson Activities which could be used to develop spatial visualization. (85, 1992) 641 - 646, 652 - 654 Integrating Transformation Geometry into Traditional High School Geometry Steve Okolica and Georgette Macrina Moving transformation geometry ahead of deductive geometry. (85, 1992) 716 - 719 Van Hiele Levels of Geometric Thought Revisited Anne Teppo Relating the van Hiele theory to the Standards. (84, 1991) 210 - 221 Communicating Mathematics Mary M. Hatfield and Gary G. Bitter Generating patterns and making conjectures. (84, 1991) 615 - 621 Make Your Own Problems - and Then Solve Them Robert L. Kimball Activities for solving a maximum problem. (84, 1991) 647 - 655 STAR Experimental Geometry: Working with Mathematically Gifted Middle School Students Gary Talsma and Jim Hersberger A description of a course for mathematically gifted middle school students. (83, 1990) 351 - 357 High School Geometry Should be a Laboratory Course Ernest Woodward Encourages the use of a laboratory format in geometry teaching. (83, 1990) 4 - 5 Students' Microcomputer-aided Exploration in Geometry Daniel Chazan Using the Geometric Supposers. (83, 1990) 628 - 635 An Interactive Approach to Problem Solving: The Relay Format Viji K. Sundar A game for review purposes. Some geometry problems are included. (82, 1989) 168 - 172 "Figuring" Out A Jigsaw Puzzle Ken Irby Sharing Teaching Ideas. Analyzing a puzzle using geometric techniques. (82, 1989) 260 - 263 Games, Geometry, and Teaching George W. Bright and John G. Harvey Games for teaching content and developing problem solving skills. (81, 1988) 250 - 259 Let ABC Be Any Triangle Baruch Schwartz and Maxim Bruckheimer Drawing a triangle that does not look special. (81, 1988) 640 - 642 Dodecagon of Fortune Dane R. Camp Sharing Teaching Ideas. A game for use during reviews. (81, 1988) 734 - 735 The Indirect Method Joseph V. Roberti Examples of indirect proofs and suggested further problems for investigation. 80, (1987) 41 - 43. Guessing Geometric Shapes Gloria J. Bledsoe A guessing game designed to help students to become familiar with properties of various geometric figures, applications to both two and three dimensions. 80, (1987) 178 - 180. Sometimes Students' Errors Are Our Fault Nitsa Movshovitz-Hadar, Shlomo Inbar, and Orit Zaslavsky Examples of student errors in written tests which can be attributed to editorial factors. Three of four problems examined are geometric in nature. 80, (1987) 191 - 194. Discoveries with Rectangles and Rectangular Solids Lyle R. Smith Differentiating between area and perimeter for rectangles and between volume and surface area for rectangular solids. 80, (1987) 274 - 276. Stuck! Don't Give Up! Subgoal-Generation Strategies in Problem Solving Robert J. Jensen Managing the problem solution process. Subgoals and strategies. 80, (1987) 614 - 621, 634. Place Your Geometry Class in "Geopardy" Hal M. Saunders A Jeopardy-like game for teaching and reviewing geometric facts. 80, (1987) 722 - 725. Teaching the Elimination Strategy Daniel T. Dolan and James Williamson Activities for developing the problem solving skill elimination. 79, (1986) 34 - 36, 41 - 47. Logo and the Closed-Path Theorem Alton T. Olson Investigation of some plane geometry theorems utilizing Logo and the Closed-Path Theorem. Logo procedure included. 79, (1986) 250 - 255 Teaching Students How to Study Mathematics: A Classroom Approach Marcia Birken Not specifically geometry oriented, but still quite useful. Eight procedures involved. 79, (1986) 410 - 413. The Geometric Supposer: Promoting Thinking and Learning Michal Yerushalmy and Richard A. Houde A description of classroom use of the Supposer. 79, (1986) 418 - 422. Logo in the Mathematics Curriculum Tom Addicks Using Logo to produce bar graphs and pie charts. 79, (1986) 424 - 428. Math Trivia Jim Kuhlmann An activity dealing with a Trivial Pursuit approach to mathematics learning. There are some geometry questions involved. 79, (1986) 446 - 454. Using Writing to Learn Mathematics Cynthia L. Nahrgang and Bruce T. Peterson Not specifically geometry oriented but the journal writing concept which is discussed here could be applied in a geometry class. 79, (1986) 461 - 465. The Looking-back Step in Problem Solving Larry Sowder Looking-back after the completion of the solution to a problem to search for other problems. The technique is applied to one geometry problem. 79, (1986) 511 - 513. Chomp--an Introduction to Definitions, Conjectures, and Theorems Robert J. Keeley A game designed to introduce students to the concepts of conjecture, theorem, and proof. 79, (1986) 516 - 519. A Lab Approach for Teaching Basic Geometry Joan L. Lennie Construction of a device for measuring angles and its use to make indirect measurements. 79, (1986) 523 - 524. Informal Geometry - More is Needed Philip L. Cox Sound-off feature urging the teaching of more informal geometry at the secondary level. 78, (1985) 404 - 405. Spadework Prior to Deductive Geometry J. Michael Shaughnessy and William F. Burger A discussion of van Hiele levels and their applications to methods of preparing students for deductive geometry. 78, (1985) 419 - 428. How Well Do Students Write Geometry Proofs? Sharon L. Senk The results of some testing regarding proof writing ability developed by secondary geometry students. Data from the CDASSG project. 78, (1985) 448 - 456. Microworlds: Options For Learning and Teaching Geometry Joseph F. Aieta Using Logo to study relations in families of figures. Logo procedures provided. 78, (1985) 473 - 480. The Shape of Instruction in Geometry: Some Highlights from Research Marilyn N. Suydam "Why, what, when, and how is geometry taught most effectively." Research findings on these questions. 78, (1985) 481 - 486. Seeking Relevance? Try the History of Mathematics Frank J. Swetz Suggestions for incorporating historical material into secondary classroom presentations. Several geometrical aspects are included. 77, (1984) 54 - 62. Adding Dimension to Flatland: A Novel Approach to Geometry Donald H. Esbenshade, Jr. Adding a cultural dimension to a secondary geometry course by requiring the reading of Abbott's Flatland. 76, (1983) 120 - 123. Learning By Example Thomas Butts Some geometry problems are involved in the discussion. 75, (1982) 109 - 113. Is Your Mind In A Rut? Glenn D. Allingen Negative mind sets (visual perception, Einstellung effect, functional fixedness) encountered in the mathematics classroom. Geometrical examples. 75, (1982) 357 - 361, 428. Understanding Area and Area Formulas Michael Battista A sequence of lessons to discourage some common misunderstandings about area. 75, (1982) 362 - 368, 387. Making Geometry A Personal and Inventive Experience Richard G. Brown Using a discover-it-yourself approach to the teaching of geometry. 75, (1982) 442 - 446. Motivating Students To Make Conjectures and Proofs In Secondary School Geometry Lynn H. Brown Guided discovery with worksheets. 75, (1982) 447 - 451. Activities From "Activities": An Annotated Bibliography Christian A. Hirsch Articles from the "Activities" section. Geometry (47 - 49). 73, (1980) 46 - 50. Help For The Slower Geometry Student Diane Bohannon Analysis of proofs (worksheet). 73, (1980) 594 - 596. A Theorem Named Fred Lloyd A. Jerrold Developing an often used procedure into a theorem. 73, (1980) 596 - 597. To Prove Or Not To Prove - That Is The Question Thomas E. Inman Suggested procedure for teaching the art of geometric proof. 72, (1979) 668 - 669. Geometry: A Group Participation Game Of Definitions Linda C. Barkey A game for definition learning. 71, (1978) 117 - 118. Teacher-Made Cassette Tapes - Geometry Brendan Brown and Dorothy Dow Discusses the use of audio tapes in geometry instruction. 69, (1976) 375 - 376. Grading and Class Management In Geometry Jane Broadbooks Individualized instruction in geometry. 69, (1976) 376 - 377. Chess In The Geometry Classroom Nancy C. Whitman Using chess to introduce the study of geometry. 68, (1975) 71 - 72. Results and Implications of the NAEP Mathematics Assessment: Secondary School Thomas P. Carpenter, Terrence G. Coburn, Robert E. Reys, and James W. Wilson Title tells all. (Geometry on 465 - 467.) 68, (1975) 453 - 470. A Geometry Game James B. Caballero Designed to develop precise mathematical modes of expression. 67, (1974) 127 - 128. The Converses Of A Familiar Isosceles Triangle Theorem F. Nicholson Moore and Donald R.