This tutorial presents a geometric proof done by sketch to compose a square or equilateral triangle from four small boards. It then converts the procedure into a series of 12 drawing steps with Geometer's Sketchpad. The complete Geometer's Sketchpad file of this demonstration is located at: http://poncelet.math.nthu.edu.tw/chuan/dissect/2dud.html.…

The computer can be used as a tool to represent and communicate geometric knowledge. With the appropriate software, a geometric diagram can be manipulated through a series of animation that offers more than one particular snapshot as shown in a traditional mathematical text. Geometric constructions with the computer enable the learner to see and…

This document presents keystrokes for the Texas Instrument (TI-83) graphing calculator. After presenting some basic TI-83 keystrokes, activities for student practice are listed. This is followed by keystrokes for TI-83 advanced functions such as evaluating function values, finding the zero of a function, finding the intersection of two graphs,…

Presents a variety of mathematical games from all over the world using pen and paper, or single-board setups. (ASK)

Presents an educational game on probability that can be the starting point for an open-ended statistical project. (ASK)

Explores measuring time periods between a day and a few thousand years and the sort of time measured by calendars. Illustrates different calendars throughout history. (ASK)

Offers historical information about square roots. Presents three different methods--Hero's method, visual method, and remainder method--which can be used to teach the finding of square roots and one method for determining cube roots. (ASK)

Presents an activity in which students try to find the least common multiple (LCM) for two numbers using calculators. (ASK)

Determines the theoretical probability that a regular polygon will cross a crack when dropped onto floorboards. By following two special cases, a pattern emerges that enables students to consider the general case. (ASK)

Introduces handling data as conceived by Euclid, which provides some interesting possibilities for students to investigate fundamental geometrical ideas as well as relating some elementary geometry with elementary trigonometry. (ASK)

Presents an activity using the familiar fairy tale "Cinderella" to provide the context for stimulating mathematical thinking about a real life problem. Makes use of graphing calculator technology to investigate the relationship between shoe sizes and shoe lengths. (ASK)

Presents an activity using geoboards to recognize similar and different relationships of triangles. (ASK)

Proposes the use of triex problems which emphasize exploration, explanation, and extraction. Provides examples of these kinds of problems. (ASK)

Any topic, math included, becomes more accessible and understandable when human stories are related about the development of the subject. Stories make subjects real and purposeful. They provide a foundation from which students can understand and appreciate mathematics rather than merely memorize a series of rote exercises. This book presents 16…

This document describes a game that provides students with practice in recognizing three dimensional crystal shapes and planar geometric shapes of crystal faces. It contains information on the objective of the game, game preparation, and rules for playing. Play cards are included (four to a page). (ASK)