Presents ideas for creating mathematical classroom activities associated with the history of mathematics: calculating sums and products the way ancient Greeks did it, using an abacus or moving stones on a sanded floor, and engaging elementary students through role playing specific mathematicians. Suggests that through such techniques, mathematics…

Interprets and contrasts children's mathematical interaction from the points of view of radical constructivism and of Soviet activity theory. Proposes a superseding model based on the interrelations between the basic sequence of actions and perturbation and the interaction of constructs. Supports the model by describing how children used…

Proposes a new model of children's mathematics by composing aspects of the Fraction Project and critiques presented in the same issue. Argues that computer microworlds provide children with dynamic learning environments in which they are the primary actors and teachers with a medium for interact with children's mathematics while trying to maintain…

This guide, developed by a statewide committee in response to the legislature's mandate to develop statewide curriculum standards for required subjects, presents the content that should be taught in Algebra I. It was piloted by teachers in representative school systems and subsequently revised. Six goals for the course are listed, followed by a…

This compilation consists of 26 consecutive issues of the journal "Seedbed," published from February 1979 through July 1986. Each issue contains articles written by teachers for teachers. "Seedbed" is an outcome of the Teachers' Center Project at Southern Illinois University at Edwardsville. It is designed to be neither scholarly nor trivial. Each…

This document includes 50 activities for reinforcement, practice, and maintenance of basic mathematics skills. Activities are designed for middle school students. Skills include addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals as well as graphing and measurement. Activities are based upon a daily…

The activities in this monograph are self-contained explorations into mathematical topics not often included in regular classroom work in grades 3-8. They were selected because of their intriguing enjoyment and because they deal with honest mathematics; they also strengthen skills, especially problem-solving skills. Included are activities with…

Twenty-five outstanding middle grade mathematics teachers were selected to participate in a three-week workshop presented by the Middle Grades Mathematics Project (MGMP) at Michigan State University. A major focus was on the development of leadership; the workshop involved guest speakers, field trips, and an intensive immersion in the MGMP…

One of a series of pre-apprenticeship phase 1 training modules dealing with math skills, this self-paced student module covers the multiplication and division of common fractions and whole and mixed numbers. Included in the module are the following: cover sheet listing module title, goals, and performance indicators; introduction; study…

This book is the teacher's manual to a text designed to meet the particular needs of those children who have "accumulated discouragements" in learning mathematics. It is a manual of suggested teaching strategies and additional materials aimed at compensating for past student failures to understand mathematical concepts. This book, S, is…

This volume is the sixth in a series of 29 coordinated MINNEMAST units in mathematics and science for kindergarten and the primary grades. Intended for use by kindergarten teachers, this unit guide provides a summary and overview of the unit, a list of materials needed, and descriptions of five groups of activities. The purposes and procedures for…

This volume is the ninth in a series of 29 coordinated MINNEMAST units in mathematics and science for kindergarten and the primary grades. Intended for use by first-grade teachers, this unit guide provides a summary and overview of the unit, a list of materials needed, and descriptions of four groups of lessons. The purposes and procedures for…

This volume is the twentieth in a series of 29 coordinated MINNEMAST units in mathematics and science for kindergarten and the primary grades. Intended for use by second-grade teachers, this unit guide provides a summary and overview of the unit, a list of materials needed, and descriptions of three groups of lessons and activities. The purposes…

Discusses a method of teaching the multiplication of integers to eighth-grade students that utilizes videotape recordings to represent positive and negative rates. Videotapes of students walking forward and backward in the play and rewind modes illustrate that the product of two negatives is positive. (MDH)

Presents an interview with Dr. Constance Kamii on mathematics education. Based on her beliefs about the constructivist approach to elementary arithmetic, she advocates: reformulating goals and objectives, reconceptualizing the teacher role, de-emphasizing competition, eliminating workbooks, and relying instead on a curriculum made up predominately…