Presented is a review of findings from research of teaching in the 1970's. It is noted most research was directed toward identifying effective instructional strategies for low achievers, and may not generalize to high achievers. Information is related to student time on task, length of school day, academic time, allocation of time to specific…

Presented are abstracts of 14 research reports. Topics covered include: (1) the effects of games on mathematics skills and concepts; (2) the use of problem-solving heuristics in the playing of games involving mathematics; (3) sex differences in electing mathematics; (4) the origins of sex differences in high school mathematics achievement and…

In this document, detailed objectives for each grade level are listed according to the following categories: for grades K-9, numeration, basic operations, fractions, money and time, and measurement and geometry; for grades 10-12, numeration, basic operations, fractions, and practical applications. Each objective is keyed to an expected level of…

The study of the non-Euclidean geometries resulting from changes in the Euclidean parallel postulate often strengthens an individual's awareness and understanding of the deductive systems of mathematics in general. Students at both the high school and college levels are frequently fascinated by the study of deductive systems such as the two…

Several highly motivating lessons particularly pertinent to the study of mathematics in high schools and the first years of college are presented. These lessons fall into four categories: (1) problems that present a challenge and which are interesting for their own sake; (2) problems based on real situations that can be understood by the student;…

This module utilizes hole punching with a pencil, paper folding, rubber band stretching, and unique board models to "picture" key geometric concepts in an intuitive manner. The module is virtually self-contained, except for common classroom items which are scissors and a protractor. The introductory lesson allows for a variety of approaches for…

The inservice learning module described focuses on teaching mathematical concepts at the elementary grade level. Specifically covered in the module are discovery learning, drill activities, understanding number concepts, and introduction to geometry. Information is provided in this descriptive report on the scope and sequencing of topics and the…

This SMSG study guide is designed to provide assistance to teachers who wish to improve their professional competence by self-study or by group study. The main purpose of the guide is to list and organize suitable references. Topics covered include: (1) algebra; (2) geometry; (3) number theory; (4) probability; and (5) statistics. (MP)

This is part one of a two-part manual for teachers using SMSG junior high school text materials. For each chapter, a brief overview is given and sample test questions are listed. Each section contains a discussion of the topic at hand and answers to all the exercises. Chapter topics include: (1) what is mathematics; (2) numeration; (3) whole…

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…

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…

This handbook for general mathematics presents some classroom materials to aid the teacher of non college-bound pupils. The materials are intended to be of assistance to teachers in teaching the materials in a manner which will maximize the mathematical flexibility as well as the mathematical skills of the pupils. The goal was to prepare a booklet…

This book is the third in a three-volume set prepared to assist elementary-school teachers in the improvement of mathematics instruction. Each volume begins with a scope-and-sequence chart which assigns topics to seven levels. In later sections at least one objective is defined for each topic, and a series of activities related to objectives is…

This volume includes student manuals for five units in the Career Oriented Mathematics Program, which was developed to improve mathematical abilities and attitudes of secondary students by presenting the material in a job-relevant context. The units are titled: (1) Scale, (2) Apprenticeship: Learning to be a Cement Mason, (3) Textiles, (4) Being…

This study was designed to test the effects of a geometry course incorporating large-group, small-group, and individualized instruction on the achievement and attitudes of students. Three of six classes and teachers were randomly assigned to experimental instruction, the remainder serving as controls. Pretest measures included IQ and attitude…