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…

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…

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…

This is volume one of a three-volume set for teachers using SMSG junior high school text materials. Each unit contains a commentary on the text, answers to all the exercises, a copy of the questionnaire used for evaluating the material, and a summary of comments by the teachers using the text. Unit topics include: (1) numeration; (2) natural…

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.…

The basic scope of this study is to investigate the learning of mathematical concepts by primary grade students whose native language is other than English (Spanish). The efforts of the investigators in the study and the analysis of students' behaviors are to be concentrated in the areas of addition and subtraction operations, concept of number,…

Eighteen research reports related to mathematics education are abstracted and analyzed in this publication. Three of the reports deal with aspects of learning theory, seven with topics in mathematics instruction (problem solving, weight, quadratic inequalities, probability and statistics, area and volume conservation, cardinality), five with…

Junior high school students (N=104) were given instruction using programed booklets on modular addition. Twelve conditions of verbal mediation were randomly assigned to students. Conditions were defined by presence or absence of introductory discussion (2 levels), number of worked examples (2 levels), and type of rule (3 levels: specific, general,…

This manual was designed for use by teachers using the School Mathematics Study Group's (SMSG) special text series for low achievers in grades 7 and 8; it covers chapters 10 through 18 of that series. The manual begins with introductory material describing characteristics of low-achieving students and suggested instructional approaches. Testing…