Presents an activity in which students investigate geometric probability at a school fair. (YDS)

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)

Explains a non-standard definition of an ellipse familiar to astronomers and workers in celestial mechanics but which is not usually given in undergraduate text books on mathematics. (MM)

How a computer randomly generates numbers to turn off lighted blocks on a graphics display is discussed. A computer program is given after reviewing a definition and two theorems and applying them to the problem. (MNS)

Discusses methods for integrating mathematics with study of culture and history to encourage awareness of its role in everyday life: comparing number words in foreign languages; discussing number origins, numerical symbols of ancient societies, games of skill and chance; and examining different housing styles to develop geometry and measurement…

Presents an activity on probability and area in which students try to decide which door to buy. (ASK)

This document suggests sources from children's literature useful in teaching a variety of mathematical concepts. The mathematical concepts discussed are: (1) numbers and numeration; (2) place value; (3) shapes; (4) addition and subtraction; (5) multiplication and division; (6) telling time; (7) probability, estimation and prediction; (8) fractions…

Some specific uses of microcomputers in mathematics instruction are presented. Included are examples for generating data and patterns, checking, practice of various types, developing understanding, comparing results, simulation of experiments, introducing new ideas, solving problems, and extending into new areas. Brief computer programs are given.…

Discusses area models that can be used in grades three through nine, showing how the model generalizes from discrete situations involving the arithmetic of whole numbers to continuous situations involving decimals, fractions, percents, probability, algebra, and more advanced mathematics. (14 references) (MDH)

These materials on geometric probability are the first unit in a course being developed by the Mathematics Department at the North Carolina School of Science and Mathematics. This course is designed to prepare high school students who have completed Algebra 2 for the variety of math courses they will encounter in college. Assuming only a knowledge…

This two-volume teacher's guide is to be used with a second-semester, sixth-grade mathematics program. The manner of presentation and the pedagogical ideas and tools are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…

This is part two of a two-part School Mathematics Study Group (SMSG) textbook. The text serves as a means to prepare teachers to teach the SMSG text "Mathematics for Junior High School." The eight chapters found in part two are: (1) Primes and Factors; (2) Decimals, Ratios, and Percents; (3) The Real Number System; (4) Non-Metric…

Describes three activities to teach mathematical concepts involving probabilities related to outcomes using "Sicherman" and other dice; geometric representations of algebraic identities; and the volume of a cone. (MDH)

This math curriculum guide, correlated with the numerical coding of the Math Skills List published by the Migrant Student Record Transfer System, covers 10 learning areas: readiness, number meaning, whole numbers, fractions, decimals, percent, measurement, geometry, probability and statistics, and sets. Each exercise is illustrated by a large…

This yearbook contains 20 articles pertaining to geometry instruction. Part 1 considers "Perspectives," with articles on the van Hiele model, resolving dilemmas, implications of using computer graphics, chances of geometry surviving in the secondary curriculum, and role of Euclidean geometry. Part 2 provides "A View of Problem Solving and…