This is part one of a two-part SMSG text for grade seven students whose mathematical talents are underdeveloped. The reading level of this text has been adjusted downward, chapters shortened, and additional concrete examples included. Nevertheless, the authors warn that the text may not be appropriate for the very slow non-college-bound student.…

This is volume one 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 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,…

These masters are designed to be used in preparing transparencies for use with overhead projectors in conjunction with a School Mathematics Study Group publication for junior high school mathematics teachers. (MK)

A DESIGNED PROGRAM FOR PRESCHOOL AND KINDERGARTEN CHILDREN WHO HAVE NOT YET LEARNED TO READ AND WRITE WAS DESCRIBED. IT DEALT WITH NUMBER CONCEPTS AND NUMERALS AND USED A MULTIPLE CHOICE PICTORIAL FORMAT. IN THE TYPICAL PROGRAMED INSTRUCTION SITUATION, THE STUDENT READ A FRAME AND MADE A RESPONSE. WHEN HE MADE THE CORRECT RESPONSE, HE WAS INFORMED…

These experiments tested the hypothesis that an instructional strategy involving guided discovery will promote meaningful learning of problem solving concepts by activating an assimilative set during learning. In order to investigate the effect of discovery training and concrete manipulation, preschool children were given training in one to one…

This study examined the effects of number of illustrative examples and number of practice problems given on seventh graders' achievement in a unit on probability. Four treatment groups were used, one for each combination of two levels of number of examples and two levels of number of practice problems. Prior to treatment students were pretested on…

This booklet is the final report on a project designed to determine the extent to which students in grades 2, 3, and 4 who were having particular difficulty in learning number concepts were not yet conserving number. A test of number conservation was given to all children assigned to the remedial group; 10 of the 23 were found to be nonconservers.…

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include factors and primes, perfect numbers, divisibility, expanded notation, repeating decimals, number…

This is part two of a two-part SMSG elementary school text for sixth-grade students. The content is aimed at the development of some of the fundamental concepts of mathematics such as number, numeration, the operations of arithmetic, and intuitive geometry. Chapter topics include division of rational numbers, volume, organizing and describing…

This is a supplementary 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) sets; (2) projective geometry; (3) repeating decimals; (4) tests for divisibility; (5) finite differences; and (6) prime numbers. (MP)

This publication is the first part of a series "Mathematics - Pre-Kindergarten, Kindergarten, and Grade One." This bulletin is a part of the developing curriculum program that incorporates the pre-kindergarten into the educational system and reorganizes mathematics materials in the early childhood years. Part One of the program presented…

In a program to facilitate the emergence of number conservation in preschool children, 45 middle class children and 64 Head Start and Title I children were trained to deal with perceptual confusions so that they could utilize this understanding to disregard irrelevant changes, such as spatial rearrangement, and thereby become aware of conservation…

In this guide for teachers using the SMSG text materials for grade 5, five chapters on numeration systems, factors and primes, multiplication and division, and congruency of geometric figures are considered. The purpose is stated for each unit and mathematical background for the teacher is presented. Teaching procedures are then detailed through…

This guide for teachers using the SMSG text materials for grade 5 considers four chapters on addition and subtraction of rational numbers, measurement of angles, area, and ratio, plus a review of the fifth-grade program. The objectives or purposes for each unit are given, followed by mathematical background. Detailed lesson plans are then…