This book is designed to introduce the reader to some fundamental ideas about probability. It is assumed that the reader has completed chapters 1 to 7 of SMSG Introduction to Probability, Part 1. While the book is designed for junior high school students, some elementary algebra is required for a number of the exercises. The difficult exercises…

In this text, the writers have relied on the SMSG kindergarten and first grade materials as a framework. This special edition is designed to meet the needs of disadvantaged children. Chapters 5 through 10 are included in this part. Chapter topics include: (5) Recognizing Geometric Figures; (6) Place Value and Numeration; (7) Addition and…

Children's fiction books can be used to develop concepts of number, shapes, words, etc. (JH)

Describes a positive method of studying children which gives insight into the differences between "privileged" and "underprivileged", and makes possible analysis of the development of a logical concept (number). Preschool children were observed as they interacted in a controlled group situation. (ED)

Scope and content charts specifying units, topics, and time allotment are provided for grades 7 and 8. Units covered in grade 7 are sets, systems of numeration, whole numbers, positive rational numbers, geometry, and ratio, proportion, and percent. Units covered in grade 8 are sets, real numbers, ratio, proportion and percent, geometry, coordinate…

This is one of a series that is a collection of translations from the extensive Soviet literature of the past 25 years on research in the psychology of mathematics instruction. It also includes works on methods of teaching mathematics directly influenced by the psychological research. Selected papers and books considered to be of value to the…

This is part two of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include addition and multiplication of real numbers, subtraction and division…

ACCORDING TO PIAGET, THE CONCEPT OF CONSERVATION IS A PREREQUISITE TO MATHEMATICAL UNDERSTANDING. THIS STUDY SOUGHT TO DETERMINE WHETHER THE ABILITY OF FIRST GRADE CHILDREN TO SOLVE ADDITION PROBLEMS WAS DEPENDENT ON THEIR MASTERY OF CONSERVATION OF NUMEROUSNESS. SECONDARY PURPOSES WERE TO INVESTIGATE THE EFFECT IN PROBLEM STATEMENTS OF (1)…

A GROUP OF REPRESENTATIVES FROM FIVE SCHOOLS MET FOR TWO WEEKS TO DISCUSS MEANS OF IMPROVING ARITHMETIC TEACHING. THE CONTENT OF EACH GRADE WAS EXAMINED. THE PURPOSE WAS TO DETERMINE VARIOUS APPROACHES TO MOTIVATE BETTER LEARNING. NOTES OF THESE MEETINGS HAVE BEEN REPRODUCED AND SUGGESTIONS FOR TEACHERS OFFERED. TEACHERS SHOULD PROVIDE MANY…

Intended for teachers of learning disabled children, the performance based learning package provides a list of steps for students to take toward obtaining competency in time and time telling. The package is broken down into eight milestones which include such steps as constructing a simple sundial as a group project, understanding that 15 minutes…

This is part one of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include number line and coordinates, equations, scientific notation,…

This study focused on (1) the relation or transition between the measurement and partitive settings for division, and (2) the study of these two interpretations in general case where the remainder is not necessarily zero. Ninety-four second-grade pupils from four classrooms (two in each of two schools) were presented, through individual…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series is designed to make material for the study of topics of special interest to students readily accessible in classroom quantity. Topics covered include a new kind of addition and multiplication, operations, closure, identity, mathematical…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series is designed to make material for the study of topics of special interest to students readily accessible in classroom quantity. Topics covered include absolute value, addition and multiplication in terms of absolute value, graphs of absolute…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) the latest about pi; (2) a series useful in the computation of pi; (3) an ENIAC determination of pi and e to more than…