This is one of a series of reports on the National Longitudinal Study of Mathematical Abilities (NLSMA). Further, it is of the subseries that analyzed data for the purpose of identifying differential patterns of mathematics achievement which are correlated with different textbook series. This particular report considers comparisons made for the…

Discussed is a three-week summer workshop-laboratory for teachers and low achievers in mathematics at the secondary level. Teacher planning, small group activities, and the use of electric calculating equipment, mathematically oriented games, and manipulative materials were emphasized. (The amount of time spent in particular activities was…

This book is divided into two parts: a discussion of the role of individualized instruction in today's schools, and a detailed description of objectives and implementation of the Duluth Individualized Mathematics Program. In the first part, the author argues that schools should not be preservers of tradition but agents of change; diversity should…

A curriculum for a ninth grade class is described with apparatus and experiments which involve active manipulation, through which the learner develops concepts and skills. Questions are designed to help the student express himself verbally. The affective development is fostered by game playing, by discussion and by children working in pairs or in…

The purpose of this project was to determine if the method of subtraction of integers taught to seventh grade students affected their mathematics achievement or retention. Computation, concept, and problem-solving sections of the California Achievement Test were given as pretests and posttests. An investigator-constructed test of the addition and…

The second in a series of four papers on computer use in mathematics education, this paper reviews some of the pedagogical rationales and research evidence related to the use of computers as a problem-solving tool in mathematics classes. A discussion on philosophies and objectives, effects of computer programming on mathematics achievement,…

A series of ten teacher-prepared Learning Activity Packages (LAPs) in advanced algebra and trigonometry, the units cover logic; absolute value, inequalities, exponents, and complex numbers; functions; higher degree equations and the derivative; the trigonometric function; graphs and applications of the trigonometric functions; sequences and…

This guide to accompany "Exploring Linear Measure," contains all of the student materials in SE 015 334 plus supplemental teacher materials. It includes a listing of terminal objectives, necessary equipment and teaching aids, and resource materials. Answers are given to all problems and suggestions and activities are presented for each…

This guide to accompany "Activities with Ratio and Proportion," contains all of the student materials in SE 015 336 plus supplemental teacher materials. It includes a listing of terminal objectives, necessary equipment and teaching aids, and resource materials. Answers are given to all problems and suggested approaches and activities are…

This instructional unit is designed to serve as an introduction to algebra. True and false mathematical sentences are first presented with open sentences to introduce the use of a variable. Inequalities, formulas, and graphs are the next major concepts discussed. The unit concludes with six projects that attempt to tie the major concepts together.…

This geometric instructional unit concentrates on student use of three-dimensional manipulative aids. Rigorous definitions are avoided as students use categorical reasoning based on their own experiences. Through their own discovery of relationships, it is hoped students will become interested in geometry, aware of geometric forms in the world,…

This programed instruction study guide is one of a series that form a first-year algebra course. Structured in a multiple-choice question-answer format with scrambled pages, it is intended to be used in conjunction with a computer-managed instructional system. Volume 1 includes general instructions for working with this system, and then covers the…

This programed instruction study guide is one of a series that form a first-year algebra course. Structured in a multiple-choice question-answer format with scrambled pages, it is intended to be used in conjunction with a computer-managed instructional system. The following topics are covered in Volume 2: punctuation marks; order of operations;…

This programed instruction study guide is one of a series that form a first-year algebra course. Structured in a multiple-choice question-answer format with scrambled pages, it is intended to be used in conjunction with a computer-managed instructional system. The following topics are covered in Volume 3: solving problems with open sentences;…

This programed instruction study guide is one of a series that form a first-year algebra course. Structured in a multiple-choice question-answer format with scrambled pages, it is intended to be used in conjunction with a computer-managed instructional system. The following topics are covered in Volume 4: combining terms, equations with variables…