This is part two of a three-part SMSG algebra text for high school students. The principle objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure exhibited by the real number system, and the use of this structure as a basis for the techniques of algebra. Chapter topics include…

This study was designed to test the effects of a sequence of 12 lessons on the ability of kindergarten and first-grade children to recognize and conserve numerousness. Two pretests were administered to the children in each grade level, the Lorge-Thorndike Intelligence Test (nonverbal) and a test of numerousness. One post-test, the test of…

GRADES OR AGES: K-6. SUBJECT MATTER: Mathematics; sets and numbers. ORGANIZATION AND PHYSICAL APPEARANCE: The guide is divided into two sections--sets and numbers. Within each section the content is grouped into six levels in order of increasing difficulty. Each level contains from 3 to 15 concepts. Numerous diagrams and illustrations are…

Reported are the results of an exploratory study that analyzed appropriate mathematical or "pre-mathematical" experiences for very young children of nursery school, kindergarten, or first-grade age. Among alternative approaches are the approach via sets, the approach via real numbers, and the approach via the physical act of counting.…

This curriculum bulletin is the second part of "Mathematics--Pre-Kindergarten, Kindergarten, and Grade One." This is a developing curriculum program that incorporates the pre-kindergarten into the educational system and reorganizes mathematics materials in the early childhood years. The materials in this bulletin deal with numbers and operations…

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)