This discussion of cyclic patterns that appear in repeating decimals includes the use of the calculator in discovering the patterns. (MP)

Presents an activity that involves drawing pictures to collect data, conjecturing a recurrence relation, and solving the relation using geometric series and partial fractions. (MKR)

Uses pattern blocks to model basic parts-of-a-whole fraction concepts. Suggests that students reflect these models in oral, written, pictorial, and symbolic representations. (MKR)

This compilation is drawn from the IDEAS section that has been a feature of the "Arithmetic Teacher" since 1971. The contents are arranged in the following categories: Computation, Fractions and Decimals, Developing Number Patterns, Using Flowcharts, Problem Solving, Geometry, and Metric Measure. All selections are reprinted just as they…

This book uses foods as catalysts for learning mathematical concepts. Each hands-on activity in this math center suggests accessible, healthful, and easy-to-prepare foods to be used in school or at home. An introduction to parents and teachers includes supplies list, gobble-up germs poster, and food guide pyramid and serving information. The…

The number concepts of greatest common divisor and least common multiple are related to star patterns created through line designs. (JT)

This document is a collection of activity-based mathematics lessons for grades 5-8 from the "Ideas" department in "Arithmetic Teacher: Mathematics Education through the Middle Grades." Each lesson includes background information, objectives, directions, extensions, and student worksheets. A matrix is included which correlates…

A visual model of fractions, the tower of bars, is used to discover patterns. Examples include equalities, inequalities, sums of unit fractions, sums of differences, symmetry, and differences and products. Infinite sequences of numbers, infinite series, and concepts of limits can be introduced. (DC)

Discusses 4 numerical patterns occurring in the decimal expansions of 2 raised to a negative exponent. Includes two row patterns, one diagonal pattern, and a pattern in the sum of the digits of the expansions. Conjectures are presented for each pattern and subsequently proved. (MDH)

Presents a series of five activities that introduce division of fractions through real-world situations. Discusses problems related to resurfacing a highway, painting dividing stripes on a highway, covering one area A with another area B, looking for patterns, and maximizing the result of a division problem. Includes reproducible worksheets. (MDH)

Presents five activities to help students construct meaning for multiplying fractions through real-world problem contexts, physical or pictorial models, the recognition of patterns, and the use of calculators. In the context of a garden plot, worksheets examine various aspects of parts of plots, patterns in plots, and a maximization problem.…

The 1989 document, "Curriculum and Evaluation Standards for School Mathematics," provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. This book, one in a series designed to interpret and…