This study guide is part of an interdisciplinary course entitled the Science and Engineering Technician (SET) Curriculum. The course integrates elements from the disciplines of chemistry, physics, mathematics, mechanical technology, and electronic technology, with the objective of training technicians in the use of electronic instruments and their…

This guide is for the use of teachers in the primary grades and is organized around six concepts: sets, numbers and numeration; operations, their properties and number theory; relations and functions; geometry; measurement; and probability and statistics. Objectives and sample activities are presented for each concept. Separate sections deal with…

These 14 research reports are grouped into three broad categories based on the Piagetian level concerned. The articles concerning preoperational concepts focus on problems such as: (1) finding an appropriate mathematical description of some of the primitive mathematical concepts; (2) the role of "activities" in early concept acquisition;…

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 is part two 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 real numbers, similar triangles, variation, polyhedrons,…

An attempt is made to define the meaning of invention and innovation in mathematics education in order to help develop guidelines for policies of research and development in this area. Spectrums of invention in the realms of geometry and group theory are proposed as models of ordering understanding of creative activity within mathematics. This…

This collection of reprints from the IDEAS section of the "Arithmetic Teacher," has been selected from those activities appropriate for students in grades 4 through 8. The selections have been reprinted just as they originally appeared in the journal. The ideas are grouped under the headings computation, fractions, problem solving, geometry, and…

This SMSG study guide is intended to provide teachers who use "Intermediate Mathematics," as a textbook with references to materials which will help them to gain a better understanding of the mathematics contained in the text. For each chapter of the text a brief resume of its content is followed by a list of annotated references which…

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 provides a forum for mathematics teachers who are interested in developing creative approaches for teaching mathematics. It consists mainly of articles under two heads--papers read at seminars on mathematics teaching, and original articles or reprints related to teaching and learning mathematics. There is a reference section which…

The curriculum guide for secondary level, career-oriented General Mathematics Part 1, correlates performance objectives in basic mathematics with career-oriented concepts and activities. The material is designed to lead the student in a systematic development that provides for continuous progress. The guide is in outline format, providing a…

This book is a part of a self-study sequence in an engineering certification program. This volume deals with basic measurement related to construction projects; chapters are devoted to stationing, alignment data, curve data, equations, and bench marks. Some knowledge of algebra and trigonometry is assumed. (SD)

This text is one of the sequence of textbooks produced for low achievers in the seventh and eighth grades by the School Mathematics Study Group (SMSG). There are eight texts in the sequence, of which this is the fifth. This set of volumes differs from the regular editions of SMSG junior high school texts in that very little reading is required.…

In an attempt to prepare students for units analysis in the solution of problems in high school chemistry and physics, the author developed learning packets on the factor label method. Thirty-three students used these packets individually during a regular tenth-grade geometry class. There were two packets, each to be used for two days. Prior to…