### Mathematics Teacher

#### Geometry Bibliography: Geoboards

Hubert Ludwig, Ball State University

 ```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. H.J.L. 07/15/97 email: 00hjludwig@bsu.edu home page: http://www.cs.bsu.edu/~hjludwig/ ```