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…

Through a mathematical analysis, Piaget's grouping concept can be formally interpreted as being a hybrid between the mathematical concepts of a group and a lattice. Some relevant pedagogical models are presented. Activities with Cuisenaire Rods, Dienes Blocks, and Papy's Minicomputer are shown to take place in groupings. (LS)

This newsletter, published eight times during the academic year, is intended for elementary teachers interested in open education. The newsletter includes descriptions of actual classroom projects, discussions of teaching techniques, and sources of curriculum and instructional materials. This issue contains a description of several sets of logic…

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)

Strategies used by 150 children as they solved addition and subtraction verbal problems were studied over a period of one-and-a-half years. Number size and presence of manipulative materials were variables manipulated in individual interviews given at three separate intervals. Two addition and four subtraction tasks were used. Processes changed…

This handbook describes inexpensive or easy to make metric measuring materials for use by teachers of grades K-12. Materials for teaching length, area, volume, and temperature concepts are suggested. In addition, there is a chapter on games and aids and a bibliography which provides further references. The introduction includes some hints on…

This bulletin for kindergarten teachers comprises five papers about the use and value of play in the kindergarten curriculum. Topics discussed include the values of various pieces of indoor and outdoor play equipment commonly found in the kindergarten; the nature of young children and their learning; the definition of play; the teacher's role as…

This teaching experiment investigated variables which affect how well children learn from manipulative aids and how to use such aids in teaching mathematics. Five small groups from one second-grade classroom were stratified by achievement and taught using (1) counting sticks; (2) Dienes blocks; (3) abacus; (4) all three materials; or (5) counting…

Research conducted in grades K-8 on activity-based teaching approaches, including studies on the use of manipulative materials, is reviewed and synthesized in this report. On the basis of the synthesis, it was concluded that lessons using manipulative materials have a higher probability of producing greater mathematical achievement than do…

This document begins with a discussion of the author's approach to instruction in a mathematics laboratory. This discussion includes an enumeration of types of desirable or necessary equipment and advice on the management of a laboratory. The author examines issues related to achievement and readiness for more traditional school experiences in…

The purpose of this work text is to familiarize the elementary school teacher with the metric system. It can be used as a supplementary textbook in methods courses or as the basic textbook for workshops. The decimal system of numbers, metric measurement, measurement in general, and errors of measurement are discussed. Activities for measuring or…