This document was developed as a resource for secondary mathematics educators. The supplemental guide is designed to help educators challenge their students and provide each student with learning experiences to help them achieve success. Chapters reflect the mathematics curriculum and within each subject, activities are listed in the common…

This study used knowledge derived from classroom-based research on teaching and laboratory-based research on children's learning to improve teachers' classroom instruction and students' achievement. Twenty first-grade teachers, assigned randomly to an experimental treatment, participated in a month-long workshop in which they studied findings on…

Vocational teachers have a vital interest in students' developing competence in basic academic skills. They are aware that the teaching of basic skills must be a team effort between basic skills teachers and teachers of subject matter areas. Three basic academic skills that are taught in vocational classes are reading, writing, and mathematics.…

This collection of essays focuses on the "strategic teaching" model of cognitive instruction, a model which makes clear the complex thinking process that teaching is, highlights the importance of the teaching/learning connection, and aims at enabling all types of students to become successful learners. The papers consider the varied levels at…

The focus of this workshop involving people from 13 countries in Asia and the Pacific Region was on using computers to assist learning in mathematics. The report contains the following sections: (1) Introduction; (2) The Mathematics Curriculum: Innovation and Change; (3) The Mathematics Classroom: New Ideas with Computers; (4) Software: Quality…

This yearbook for teachers of mathematics in grades 5-9 contains three sections: (1) critical issues; (2) learning activities; and (3) games, contests, and student presentations. The first section includes articles on sex-related differences, learning disabled students, computer literacy, mental arithmetic, rational numbers, and problem solving.…

The project was designed to study factors within secondary schools that tend to affect young women's enrollment, perseverance, and achievement in extensive programs in mathematics, since mathematics is the "critical filter" to entrance and advancement in an increasing number of academic and professional fields. A sample of eight high…

In connection with the formative evaluation of the Developing Mathematical Processes (DMP) curriculum, interviews were conducted with teachers in grades 1-3 at the beginning of the school year and after concluding each of the 10 topics on addition and subtraction. The topics had been especially prepared for a classroom observational study. The…

This is a guide for use in semester-long courses in Elementary Functions and Analytic Geometry. A list of entry-level skills and a list of approved textbooks is provided. Each of the 18 units consists of: (1) overview, suggestions for teachers, and suggested time; (2) list of objectives; (3) cross-references guide to approved textbooks; (4) sample…

This document reviews approximately 200 children's books in mathematics for the early grades. The 1975 and 1976 editions of "Children's Books in Print" were used to generate the book list, and all but approximately 20 of the titles listed were located for this review. Each review presented describes content and accuracy, illustrations and their…

This document was developed to stimulate others to attempt the writing of a mathematics-based core curriculum. It contains the following sections: (1) The Definition of a Core Curriculum; (2) Reasons Why One Should Use or Not Use a Core Curriculum in a Teaching-Learning Situation; (3) The Thoughts of Other Educators Concerning A Math-Based Core…

The following approaches to mathematics education, represented in German-speaking countries mainly, are analyzed: (1) the structuralist/formalistic approach; (2) the genetic approach; (3) the approach by elementarization; (4) the problem-solving approach; (5) the approach of Freudenthal; (6) the approach by project-orientation; (7)…

Computer assisted instruction (CAI) provides active and non-linear instruction, but the microcomputer-videotape combination permits development of a broader range of instructional activities not previously possible with microcomputers alone. Instructional materials can be displayed alternately from the microcomputer or the videocassette…

The Comprehensive School Mathematics Program (CSMP) materials presented here were in the process of development at the time of publication. It is noted that children generally classified as slow learners are, in many cases, pupils who have had unhappy experiences with learning. The instructional approach is designed to: (1) inspire pupils with a…

This material describes two games, Minicomputer Tug-of-War and Minicomputer Golf. The Papy Minicomputer derives its name from George Papy, who invented and introduced it in the 1950's. The Minicomputer is seen as an abacus with the flavor of a computer in its schematic representation of numbers. Its manner of representation combines decimal…