This is part one of a two-part manual for teachers using SMSG junior high school text materials. A chapter-by-chapter commentary on the text is given as well as answers to all the exercises. Chapter topics include: (1) number line and coordinates; (2) equations; (3) scientific notation; (4) applications of percent; and (5) congruence and the…

PIAGET HAS PROPOSED THAT THE CONCEPT OF NUMBER IS PREDICATED ON THE CONCEPT OF CONSERVATION OF SUBSTANCE--THAT IS, THE CONCEPT THAT THE AMOUNT OR NUMBER REMAINS THE SAME DESPITE SPATIAL REARRANGEMENTS. BECAUSE OF THE CURRENT EMPHASIS ON REVISION OF MATHEMATICS CURRICULUM AND OF THE APPARENT VALUE OF NUMBER TRAINING TO PRESCHOOL DISADVANTAGED…

This curriculum bulletin is one of a planned series of bulletins designed to meet the needs of teachers and supervisors who are working to improve the achievement level of mathematics. The material has been planned to help teachers meet the diverse mathematical needs of the children in fifth-grade classes. In addition to the emphasis that is…

This document is the report of a conference attended by an international group of specialists in mathematics and learning. It was convened by the United Nations Educational, Scientific, and Cultural Organization Institute for Education. The general objective of the conference was to examine problems concerning mathematics reform in the primary…

The materials in this bulletin consist of a series of daily lesson plans for use by teachers in presenting a modern program of seventh year mathematics. In these lesson plans are developed concepts, skills , and applications. There is an emphasis on (1) an understanding of mathematical structure, (2) growth of a number system, (3) relations and…

The only way to see what is different about the new ways of doing mathematics is to study some new mathematics presented in a new way. This small text is designed for parents to enable them to study some of the new mathematics topics. The two chapters which are included are extracted from a seventh grade SMSG text. Interspersed throughout are…

This book is part 2 of a 2-part manual for teachers using SMSG text materials for grade 6. The purpose for each of 5 chapters is stated and mathematical background for the teacher is presented. Detailed lesson plans are then provided, including sequences of statements and questions, activities, and exercise sets with answers. Needed materials and…

The objective of the study was to determine the effect which a unit dealing with recursive definitions would have on students' achievement in applying the principle of mathematical induction (PMI). Twenty-four secondary school students were randomly assigned to control and experimental groups. Students in the control group studied programmed units…

Studies concerned with the synchronous emergence prediction of Piaget's structures-of-the-whole principle are discussed in conjunction with three groups of concrete-operational skills: (1) transitivity/conservation/class inclusion; (2) double classification/double seriation; and (3) ordinal, cardinal, and natural number concepts. Findings show…

A two-phase study was designed to investigate the relationship between cognitive skills hypothesized (by Piaget) to underlie number competence, and performance on tasks requiring logical reasoning with number-related concepts. During the first phase, a battery of tasks was administered to 60 kindergarten and 60 third-grade students. These tasks…

A hierarchy for learning to solve different types of addition with fractions problems was hypothesized on the basis of both content analysis and psychological considerations. Problem types were defined according to the relationship of the two denominators to each other (e.g., equal, prime, etc.) Students in grades 4 through 8 were each given 45…

This booklet consists of 11 bulletins designed to answer questions which teachers frequently ask about the learning and teaching of mathematics. (The bulletins are revisions of a set originally published in 1970.) Each bulletin is organized around a central topic, and presents questions related to that topic, summaries of research findings…

This booklet, developed by the Oregon Vo-Tech Math Project, contains a broad range of mathematical problems used related to vocations in the area of marketing. Solutions to all problems are included. Problems included involve whole numbers, fractions, decimals, measurement, solution of equations, logarithms, and percent. (SD)

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. Problems in this volume require the computation of square roots,…

This is one of eighteen sets of individualized mathematics problems developed by the Oregon Vo-Tech Math Project. Each of these problem packages is organized around a mathematical topic and contains problems related to diverse vocations. Solutions are provided for all problems. Problems in this set require computations involving whole numbers.…