In the winter of 1965, an experimental course in Elementary Number Theory was presented to a 6th grade class in the Hosmer School, Watertown, Massachusetts. Prior to the introduction of the present material, students had been exposed in class to such topics from the University of Illinois Arithmetic Project as lattices, number lines, frame…

This is one of a series of units intended for both preservice and inservice elementary school teachers to satisfy a need for materials on "new mathematics" programs which (1) are readable on a self basis or with minimal instruction, (2) show the pedagogical objectives and uses of such mathematical structural ideas as the field axioms, sets, and…

This is one of a series of units intended for both preservice and inservice elementary school teachers to satisfy a need for materials on "new mathematics" programs which (1) are readable on a self basis or with minimal instruction, (2) show the pedagogical objectives and uses of such mathematical structural ideas as the field axioms, sets, and…

This is a magazine for teachers of mathematics in the South Pacific who teach at the Form I level or above. Most of the articles present activities or materials to use in the classroom. Included are articles on instructional strategies, curriculum developments, interesting problems, puzzles, and math lab activities. This issue includes an article…

How and why the Minimum Performance Objectives were written, explanations of the objectives, how the objectives could be implemented, and a statement on the limitations of the objectives comprise the substance of this monograph. Illustrative objectives from "Minimal Performance Objectives of Mathematics Education in Michigan" are also included.…

The purpose of the study was to compare the results obtained from a group of fourth-grade students taught to add and subtract rational numbers through the use of field postulates and other properties of whole numbers with fourth-grade students taught by a standard method using objects and the number line. Eight classes of 30 students each…

Written to provide some basic information for parents about the New York State Elementary School Mathematics Program, this pamphlet briefly discusses techniques of number operations on the whole numbers, number systems, sets, and geometric concepts. (DT)

This paper examines the research and theories of Piaget and Bruner and some implications for education, particularly as applied to mathematics education in the elementary grades. Piaget's theories are divided into the general development and conceptual thinking and mathematical concepts in children. Experimental evidence is cited and a short…

The digits in 1776 can be used in a variety of mathematical activities (especially during the bicentennial year). (SD)

A new morphological categorization of cardinal numbers in Russian is presented, based solely on synchronic morphological features. (RM)

A game based on "skittles" can provide practice on basic facts. (SD)

Several bicentennial games and puzzles, all using the number 1776, are described. (SD)

Three topics related to teaching mathematics are discussed: a problem with the order of operations, teaching fractions, and an application of the distributive property. (MP)

Outlined is the preparation and use of graph paper for activities in counting' approximation, making bar graphs, and decimals. (MP)