Simplicity and flexibility of the full rank linear model motivated this paper which introduces researchers to the theory necessary to understand the model and apply the theory in the analysis of some standard fixed effects experimental designs. The theory and examples should help researchers use the model as an experimental tool and a model for…

This guide 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 the processes of problem solving and computation. A…

This outline is for a pre-algebra course designed to prepare students for algebra or to satisfy a one-year mathematics requirement. A key purpose is to present a practical mathematical experience. A detailed outline is given with a suggested time allotment for each chapter. A discussion of each topic follows with teaching suggestions and examples.…

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, and metric and non-metric relations in geometry. Topics included are numbers; cardinal numbers; geometry of lines, points, and planes; geometry of angles,…

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, and metric and non-metric relations in geometry. Included are chapters on the rational number system; parallels, parallelograms, triangles, and right prisms;…

This is Part 2 of the teacher's commentary for the grade 4 mathematics program. Part 2 includes the commentary for chapters 6 through 10. Topics covered include addition and subtraction, multiplication and division, geometrical figures, lines and lineal measurement, and fractions. (RH)

Within this single module there are two approaches to this brief survey of logic. Since most geometry textbooks fail to give an adequate discussion of logic, a "textbook" treatment of the subject has been included. This is found as explanations interspersed in the exercises and these can be used as a textbook approach. However, also included is an…

TO PROVIDE ELEMENTARY SCHOOL TEACHERS WITH AN OVERVIEW OF SOME OF THE IDEAS OF MATHEMATICS BEFORE THEY UNDERTAKE MORE INTENSIVE STUDY, 12 VIDEO TAPES, A CONSULTANT'S GUIDE, AND A TEXTBOOK ON FOUNDATIONS OF MATHEMATICS WERE PREPARED. THE MATERIAL COVERS WHOLE-NUMBER OPERATIONS AND SYSTEMS, NONMETRIC GEOMETRY, FRACTIONAL NUMBERS, COMPUTATION AND…

THE EXPERIMENT PROPOSED IN THIS STUDY WAS TO SUPPLY EVIDENCE RELEVANT TO THE QUESTION OF HOW MUCH INFLUENCE, IF ANY, A POSTULATED NOVELTY EFFECT WOULD HAVE UPON THE EFFECTIVENESS OF LEARNING IN A SELF-INSTRUCTIONAL SITUATION. THE HYPOTHESIS WAS--THERE WILL BE NO SIGNIFICANT DIFFERENCES IN ACHIEVEMENT OF TWO COMPARABLE GROUPS OF ELEMENTARY PUPILS…

The English translations of the first six volumes of Studies on the Teaching and Learning of Mathematics in the Soviet Union are viewed in this document. The contents of each volume are briefly described: vol. 1, The Learning of Mathematical Concepts; vol. 2, The Structure of Mathematical Abilities; vol. 3, Problem Solving in Arithmetic and…

This is part one of a three-part SMSG mathematics text for seventh-grade students. The text was written for those students whose mathematical talent is underdeveloped and is essentially the same subject matter presented in the SMSG text. Chapter topics include: (1) what is mathematics; (2) number symbols; (3) whole numbers; (4) non-metric…

This is part two of a three-part SMSG mathematics text for seventh-grade students. The text was written for those students whose mathematical talent is underdeveloped and is essentially the same subject matter presented in the SMSG text. Chapter topics include: (1) rational numbers and fractions; (2) non-metric geometry; (3) rational numbers and…

This is a first-grade manual for teachers using SMSG elementary school text materials. For each chapter background information is given; for each section, objectives, vocabulary, materials, suggested procedures, and further activities are listed. Chapter topics include: (1) pre-number experiences; (2) recognizing geometric shapes; (3) building…

This booklet, one of a series, has been developed for the project, A Program for Mathematically Underdeveloped Pupils. A project team, including inservice teachers, is being used to write and develop the materials for this program. The materials developed in this booklet include (1) number patterns, (2) measuring the interior and exterior angles…

This publication identifies some of the underlying ideas relevant to improved mathematics programs of the elementary school. This publication does not prescribe a course of study. It does, however, provide ideas to assist school personnel in their analysis of mathematics programs and textbooks. It presents an orderly outline of topics and concepts…