Described are a discrete group of isometries that fix a line but do not stabilize a point. Each type is accompanied by an example of their representation in concrete form which served as material on which young children could operate. Pupil responses to each situation are provided. (CW)

This article describes an innovative lesson that uses the biography "Barbara McClintock: Alone in her Field" (Heiligman, 1994) to integrate genetics, literature, and mathematics as a context for students to investigate patterns on Indian corn. This two-day lesson requires students to estimate, collect data, identify and describe patterns,…

This paper addresses the nature of child-initiated episodes of mathematical patterning prior to formal schooling. In a multi-site case study, children's engagement in mathematical patterning experiences was investigated as was the teachers' involvement and influence in these experiences. A conceptual framework was used to guide the examination of…

Presented are 44 examples in which students are invited to guess what pattern of numbers is emerging and to decide whether the pattern will persist. Topics of examples include Pascal's triangle, integers, vertices, Fibonacci numbers, power series, partition functions, and Euler's theorem. The answers to all problems are included. (KR)

A series of activities involving figurate numbers that allow students at various levels to integrate numerical, geometric, arithmetic, patterning, measuring, and problem-solving skills are presented. A discussion of the geometric and numerical aspects of figurate numbers is included. Appended are IBM Logo procedures that will create pentagonal…

A method for helping students to find formulas involving symmetry under various conditions is explained. Necklace symmetries, orbit counting, tetrahedra and cubes, relationship patterns, and finding patterns are discussed. (CW)

Activities which may be used to investigate a variety of woven patterns are presented. Pattern predicting and analysis of different patterns are discussed. A Basic computer program for the weaving code is given. (CW)

Presented are simple activities that can be completed by students at home with the help of a parent. Activities include the topics of sorting, patterning, counting and numbers, geometry, adding, subtracting, and measuring. Each activity describes a series of sequenced tasks related to one of the topics. (KR)

Local, state, and national professional organizations have endorsed problem solving as the most important outcome to be achieved in a K-12 mathematics program. This booklet illustrates some ways to teach different problem solving strategies to elementary school students. It concentrates on methods involving: (1) working background; (2) using a…

Presented are four activities which allow students to work with rhombus patterns. These activities encourage students to search for, test, and verify patterns and to also practice computation and work with ratios. Diagrams needed for each activity are included. (KR)

Described is a learning activity that requires students to observe, read, and interpret graphs and organize and describe data. Included are the grade level, materials, objectives, prerequisites, directions, answers to questions, and copies of handouts. (KR)

Discussed are ways in which students can generalize both quadratic or cubic situations. Generalizations are produced using the factor method, repeated linear generalizations, means of the mean, and through the use of differences. (KR)

Described are activities that use a hundred chart to improve student abilities to recognize and describe number patterns, to use variables, to make and informally prove conjectures, and to communicate mathematical ideas to classmates. Included are the directions, four reproducible student sheets, the answers, and extensions. (KR)

This manual designed for grade 2 is part of a series for a program to integrate the teaching and learning of mathematical and computer concepts and skills in the elementary school. The manual contains 34 lessons. Each lesson includes information on the topic, suggested grade level, mathematics concepts and skills, objective, prerequisite skills…