A selected bibliography of research studies and books related to mathematics and early childhood education. Studies cited pertain to the development of mathematical thought in children, teaching strategies, age-appropriate mathematical content, and assessment and evaluation of mathematical learning. Only materials published in the last five years…

Suggested are investigations for junior and senior high school students that may lead to discoveries and at the same time provide a variety of practice in computing with fractions. (JP)

A particular shot on a pool table is analyzed using the concept of similar triangles, to introduce the equivalence of the "incident-reflection" principle and the "minimum-distance" principle. (CR)

A rationale is presented for an honors approach to remedial algebra instruction. Beginning with questions to be considered in the initial placement of students, the paper suggests that remedial students be enrolled at a level low enough to provide them with a reasonable chance to be good, even honors, students. It goes on to identify and contrast…

The aim of this monograph is to describe a program of research investigating the problem-solving responses of young children and to present in summary form the results of the analyses completed so far. Attention is given to characteristics of clinical studies which are thought to make the clinical method particularly useful with young children.…

Young children grow in an environment that is patterned in many different ways. These early experiences of pattern can be the basis for later understanding of the complex structures of mathematics. Teachers can structure experiences to encourage children to examine and analyze patterns, to discover symmetrical properties, to compare shapes and…

This document contains two units that examine integral transforms and series expansions. In the first module, the user is expected to learn how to use the unified method presented to obtain Laplace transforms, Fourier transforms, complex Fourier series, real Fourier series, and half-range sine series for given piecewise continuous functions. In…

Instructors of 41 Navy electronics "C" courses were presented with a list of 70 mathematics skills and asked to indicate: (1) how important they were to successful course performance, and (2) whether required skills were prerequisite to, reviewed in, or taught in the course. Based on results obtained, a mathematical skills test was…

This study was conducted in order to identify some of the broad characteristics of achievement in science and mathematics by black students. A nationwide sample of nine, thirteen, and seventeen year old students was tested with a series of exercises that were developed to assess science and mathematics performance. The exercises were designed to…

THE PURPOSE OF THIS BOOK IS TO DESCRIBE LEARNING AIDS THAT MAY BE MADE BY A TEACHER OR CHILDREN FOR USE IN MATHEMATICS PROGRAMS IN THE ELEMENTARY SCHOOL. THESE AIDS ARE OF TWO TYPES--MANIPULATIVE AND VISUAL. DESCRIPTIONS IN THIS BOOK INCLUDE (1) THE PURPOSE OF THE TEACHING AID IN A MODERN MATHEMATICS PROGRAM, (2) EXAMPLES OF ITS USE, AND (3) ITS…

Six tests were constructed, four on a pictorial level and two on a symbolic level, to measure the performance of fourth-, fifth-, and sixth-grade children, in three different ability groups, on problems concerning ratios or fractions. Two variables were of interest in the four tests on a pictorial level: (a) "equal" ratio situations vs.…

This student discussion guide is intended to accompany "Explorations in Mathematics," a text for teachers. The materials in this booklet relate mainly to variables, graphs, signed numbers, logic, identities, functions and matrices. The materials were designed to be used as supplementary materials with students in grades 5 through 9. (RP)

This guide is to assist teachers with motivational ideas for teaching elementary school mathematics. The items included are a wide variety of games (paper and pencil, verbal, and physical), jingles, contests, teaching devices, and thought provoking exercises. Suggestions for selection of mathematical games are offered. The devices are used to…

Contained in this publication are seven items pertaining to the PMDC testing program: (1) scale and test administration directions for grade 1 and (2) for grade 2, (3) description of Hollingshead Socioeconomic Index, (4) School Profile and Class Profile Questionnaires, (5) master record forms, (6) pupil score sheet and report on the preliminary…