This document provides an overview of a National Science Foundation (NSF) funded project, Rational Number Ideas and the Role of Representational Systems. The rational number project consists of interacting instructional, evaluation, and diagnostic/remedial components. General project goals are: (1) to describe the development of the progressively…

The purposes of this study were: (1) to develop a skills hierarchy for rational number multiplication using modified intraconcept analysis procedures developed by Uprichard and Phillips in two preview studies, and (2) to evaluate and modify the hierarchy using the Walbesser technique (AAAS) and pattern analysis. Subskills were delineated from two…

This is volume two of a two-volume manual for teachers using SMSG text materials for students in grades 7 and 8 whose mathematical talents are underdeveloped. The overall purpose for each of the chapters is described and the mathematical development detailed. Background information for key concepts, answers for all exercises in each chapter, and…

This guide was prepared as an instructional aid for teachers of a first-year course in Algebra. It was designed to be applicable to the wide range of Algebra 1 programs being offered in the junior and senior high schools. In this guide, the content of the Algebra 1 program has been divided into 11 major units, each unit organized around student…

This bibliography is an effort to sort through the mathematical literature that is available. It categorizes the books into the main strands found in most elementary mathematics curricula or scope and sequence charts. Those strands are: sets and numbers; measurement and geometry; and graphs, functions, and probability. These are supplemented in…

Texts in spoken Standard Chinese were developed to improve and update Chinese materials to reflect current usage in Beijing and Taipei. The focus is on communicating in Chinese in practical situations. The overall course is organized into 10 situational modules, student workbooks for each module, and resource modules. This text contains resource…

These are some of the individual materials needed by students using the Comprehensive School Mathematics Program's Mathematics for the Upper Primary Grades, Part III. The book of "Worksheets" contains materials that are labeled with the same letter and number as the lessons with which they are to be used. The booklets "Festival of…

TO DETERMINE THE EFFECT OF INSTRUCTIONAL APPROACHES FOR SUBTRACTION AND/OR TIME OF SYMBOLIZATION UPON (1) ACHIEVEMENT IN ARITHMETIC, (2) ATTAINMENT OF NUMBER CONCEPTS, (3) ATTITUDES TOWARD ARITHMETIC IN GRADES ONE AND TWO, THIS REPORT ASSESSES FOUR EXPERIMENTAL CLASSES, THERE WERE TWO FIRST GRADE CLASSES OF 20 PUPILS EACH AND TWO SECOND GRADE…

This study was designed to determine if it was feasible and appropriate to place the concept of integers as directed distances in the curricula for students in grades 3-5. Also investigated was whether the level of understanding of left-right conceptualization affected the understanding of the concept of integers and if sex classification affected…

This mathematics curriculum guide was developed in response to the need for an updated regional mathematics guide identifying common student performance expectations of the professional staff. The expectations, stated as instructional objectives, have been organized into two major components: (1) an overall "Mathematics Comprehensive Program…

The games and simulations presented in this monograph represent an appropriate technology for the literacy instructor to use with adult students as a stimulus for discussion and analysis and as a motivational technique. Chapters in this monograph present reasons to use games and simulations, explanations of what games and simulations are,…

This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…

This yearbook is intended to be primarily a highlighting of the essential elements of those basic mathematical understandings which should be continually developed and extended throughout the entire mathematics curriculum. An attempt is also made to illustrate training in mathematical modes of thought, sometimes labeled problem solving or creative…

The main purpose of this study was to investigate whether children's perceptual comprehension of symmetrical numerical displays was greater than their comprehension of asymmetrical numerical displays. Effects of sex, age and socioeconomic status were looked at. Seventy-three kindergarten and first grade children participated in the study.…

Preservice elementary teachers enrolled in a mathematics course were randomly assigned to one of two treatment groups for instruction on computation in bases other than 10. Group 1 (Min-M) involved minimal guidance and a concrete level of abstraction, while group 2 (Max-S) had a large amount of guidance and dealt with concepts at a symbolic level.…