In this booklet are 43 mathematical games and activities to stimulate creative thinking in grades 2-7. The goal of teaching divergent thinking is stressed, as well as the need to encourage positive self-image, motivation, and creativity. For each activity, the mathematical skills addressed in the activity are listed; topics span the elementary…

Results of empirical research relating computer programming instruction and understanding of the concept of mathematical variables is unclear. While some studies have found a positive relationship, others have reported nonsignificant results. The purpose of this study was to investigate high school students' (n=36) understanding of the concept of…

Reported are data from the first individual interview conducted in 1978 as part of a 3-year study on addition and subtraction using verbal problem solving. The research program is attempting to relate pupil performance on selected arithmetic skills to pupil cognitive processes, instructional materials, and teachers' classroom behaviors. From three…

Reported are data from the second individual interview conducted in 1979 as part of a 3-year study on addition and subtraction using verbal problem solving. From three schools in Wisconsin that used the Developing Mathematical Processes program, l50 first-grade children were individually administered six problem types (two solvable by addition and…

Data are reported from the third individual interview conducted in 1979 as part of a 3-year study on addition and subtraction using verbal problem solving. From three schools in Wisconsin that used the Developing Mathematical Processes program, l50 first-grade children were individually administered six problem types (two solvable by addition and…

Data are reported from the fourth individual interview conducted in 1979 as part of a 3-year study on addition and subtraction using verbal problem solving. Ninety-nine second-grade children in two schools in Wisconsin that used the Developing Mathematical Processes program were individually administered six problem types (two solvable by addition…

Data are reported from the fifth individual interview conducted in 1980 as part of a 3-year study on addition and subtraction using verbal problem solving. Ninety-six second-grade children in two schools in Wisconsin that used the Developing Mathematical Processes program were individually administerd six problem types (two solvable by addition…

Data are reported from the first and second individual interviews conducted in 1980 in the second phase of a 3-year study on addition and subtraction using verbal problem solving. The second phase is concerned with children's performance on verbal addition and subtraction problems which contain two-digit numbers, half of which require regrouping…

Data are reported from the eighth individual interview conducted in 1981 with students participating in a 3-year study on addition and subtraction using verbal problem solving. Ninety-two third-grade children in two schools in Wisconsin that used the Developing Mathematical Processes program were individually administered l8 verbal problems that…

Working in groups of three, seventh-grade students were video taped solving an applied mathematical problem. Audio tapes were made of each group discussing their session. Analysis focused on the first stage of Noddings (1984) model of problem solving for school mathematics: Creation of a representation. Some factors identified as impeding…

Characteristics of good problems for primary school children are described and illustrated in discussions of sample problems. A collection of problems meeting these criteria is presented and annotated, and the organization of the classroom for problem-solving activities is discussed. (SD)

Basic computational problems admit several different solution algorithms. A student's choice of method may be related to personal characteristics which also bear on his ability to learn other mathematical techniques and theories. (SD)

An information-processing task analysis of what kindergarten children might do if they are successful in representing and solving certain types of simple arithmetic story problems served to identify five key components. Data obtained from the interview testing of 66 kindergarten children served to suggest a major difference between successful and…

This unit describes four secondary school activities related to the geography of the Great Lakes. In Activity A students develop map skills as they study the lakes' positions and associated cities; these skills are applied to the St. Lawrence Seaway in Activity B. Activities C and D involve learners in solving perimeter, area, distance, rate,…

This document is intended as a resource for persons using, designing, or evaluating instructional materials in whole number subtraction. Its purpose is to provide conceptual machinery: (1) for describing/specifying subtraction tests and exercises and (2) for formulating related questions and conjectures. It is mainly a logical analysis subject to…