This document is the final report of the Regional Training Workshop for the Development of Materials for Mathematics Education in Asia and the Pacific, using a problem-solving approach. The workshop was committed to identifying materials which are readily available at low cost, in sufficient quantities to be used by children in classrooms in any…

This learning module provides students with practice in applying geometric operations to vocational agriculture. The module consists of unit objectives, definitions, information, problems to solve, worksheets suitable for various levels of vocational agriculture instruction, and answer keys for the problems and worksheets. This module, which…

The Sequential Mathematics Sequence provides students with an integrated course of study, including lessons which interweave algebra, geometry, logic, probability, and mathematical systems. This handbook is designed to meet the needs of teachers who will be teaching Course III in the sequence. The handbook, for use with staff development programs,…

This monograph concerns the geometry curriculum as it should be in an effective and complete mathematics program in grades K-9. The first section makes an impelling argument for teaching substantial amounts of geometry in grades K-9: for practical life skills, for developing number and measurement concepts, for problem-solving experiences, for…

Using data collected in 1977-78, the Evaluation System has computed fall and spring mathematics scores on the Prescriptive Mathematics Test (PMT) for classes of students in grades one through six. In addition, relationships of performance on the PMT to class size, attendance, percent of males in the class, number of different test levels used in a…

Hierarchically organized knowledge about actions has been postulated to explain planning in problem solving. Perdix, a simulation of problem solving in geometry with schematic planning knowledge, is described. Perdix' planning knowledge enables it to augment the problem space it is given by constructing auxiliary lines. The planning system also…

This guide is designed to be another segment of the total educational program established by state administration and mandated by the Louisiana Legislature in both the accountability and assessment and the competency-based education laws. This document outlines a course of instruction based on thirty weeks of school, which provides six weeks of…

Addressing the needs of Hispanic bilingual children with learning problems, the manual is arranged to help teach beginning students vowels and the concepts of shapes in a step-by-step manner based on Englemann's principles of direct instruction. Equivalent Spanish/English chapters are designed to teach pronunciation and identification of vowels…

Presented are the results of an investigation of stimulus integration capabilities of three- and four-year-old children in judgments of small and large numbers. There is much evidence that suggested young children have a concept of number for small numbers, but not for large ones. A concept of number was hypothesized by Piaget to rest on the…

This is one of a series of student booklets designed for use in a bilingual mathematics program in grades 6-8. The general format is to present each page in both Spanish and English. The mathematical topics in the booklet include points, lines, planes, space, angles, and intersection and union of sets. (MK)

This book is intended to make common fourth-grade mathematical concepts both interesting and easy to understand. The text is designed to meet the particular needs of those children who have "accumulated discouragements" in learning mathematics. The reading level required of pupils has been reduced. Individual chapter titles are:…

Presented are student performance objectives, a student progress chart, and assignment sheets with objective and diagnostic measures for the stated performance objectives in college arithmetic and pre-algebra. Topics covered include: sets, whole numbers, integers, decimal fractions, fractions, ratio and proportion, percent, powers and roots, the…

This report summarizes the work completed and outlines the plans for future research of an ongoing research program of the department of psychology at Wayne State University. The program is concerned with the identification and description of cross-cultural and developmental differences in the conceptualization and linguistic expression of…

Exercises for high school students are presented which entail designing computer programs to enable the computer to identify a geometrical figure as a specific type of triangle or quadrilateral, given its 2-dimensional coordinates. Computer programming skills required are not sophisticated, but a solution requires careful analysis of necessary and…

Several methods of teaching college-level mathematics sequences are examined for their advantages, disadvantages, and costs. Materials considered include textbooks, film sequences, videotaped lectures, and individualized teaching machines. (SD)