This report presents a more detailed elaboration and discussion of the mathematical content of the central concepts which have been designated as the Mathematical Strands of the Mathematics Curriculum for grades K-8. In Part I of the report there is a discussion of the pedagogical philosophy which the committee felt was to have an importance equal…

The intent of this paper is to suggest and illustrate how electronic hand-held calculators, especially non-programmable ones with limited data-storage capacity, can be used to advantage by students in one particular aspect of work with polynomial functions. The basic mathematical background upon which calculator application is built is summarized.…

Explorations involving the use of mini electronic calculators in connection with mathematics instruction were conducted with two fifth-grade classes, two second-grade classes, and one third-grade class. Explorations are being continued with third-grade classes (last year's second grade classes). Selected activities and related materials are…

The main purpose of this study was the exploration of the relationship between first graders' performance on traditional readiness measures and their performance on an instrument based on Piagetian tasks. All correlations among the predictive indices considered were significant (p less than .01), as were the correlations of these measures with…

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functionl-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

This text is the fourth of five in the Secondary School Advanced Mathematics (SSAM) series which was designed to meet the needs of students who have completed the Secondary School Mathematics (SSM) program, and wish to continue their study of mathematics. This text begins with a brief discussion of quadratic equations which motivates the…

Included are the standard topics presented in the undergraduate and/or graduate course on methods of teaching mathematics in elementary education. Chapter 1 describes the historical development of learning theories, including Piaget's. Chapter 2 contains a biographical sketch of Piaget and an explanation of his theory of cognitive development.…

This book emphasizes the importance of teaching mathematics in a meaningful way. It is designed for elementary school teachers who are interested in why and how certain mathematical concepts and skills work. Topics discussed include: numbers and numerals; sets and sentences; the teaching of addition, subtraction, multiplication and division in the…

To investigate the efficacy of a training procedure designed to facilitate the attainment of the mathematical concept of number conservation, 43 children from grades 1 and 2 were tested for their ability to conserve. Some of the pupils were found to be nonconservers; some, transitional conservers; and some, conservers. Pupils of the first two…

Material included in this bulletin provides an overview of research studies which pertain to teaching addition and subtraction of whole numbers in the primary grades. The studies mentioned relate directly to the following questions: (1) What foundation for addition and subtraction do children have upon entering school? (2) What is the relative…

This series of booklets is designed for use by students of ninth grade general mathematics. The units are the result of experimental work done by the General Mathematics Writing Project of the National Council of Teachers of Mathematics. The series treats a variety of topics which are suitable for use with general mathematics students. Each unit…

This guide for a mathematics curriculum for grades 1-4 presents topics in sequential order for the entire four-year program. Grade level was not used for separating units; instead, an integrated sequencing of concepts was used in preparing this guide. The relationship between units is specified for the teacher as an explicit mapping of how a…

This booklet is a collection of activities and games designed to supplement textbook and other instructional materials in an elementary school mathematics program. The selected activities propose to stimulate learning and enhance attitudes. Some provide practice with number facts; others explore various topics such as probability. The emphasis is…

This workbook for children was prepared especially to accompany the level 1 Micronesian Mathematics Program Teacher's Guide. It is to be used to check whether children have learned concepts taught by activities and activity cards. Work is provided for such concepts as color recognition, categorizing, counting, ordering, numeration, contrasting,…

This study investigates effects of different instructional methods on positional numeration systems. It involved prospective elementary teachers and assessed (1) understanding, (2) performance, and (3) transference of numeration concepts. The effects were measured by the Test On Numeration Systems (TONS). During each of two semesters, three…