Presented is an elaboration of a course given at Moscow University for pupils in ninth and tenth grades. The development through abstraction of the general definition of distance is discussed and a class of spaces in which the notion of distance is defined, the so-called metric spaces, is introduced. The general concept of distance is related to a…

The Statistical Analysis System (SAS) is presented as the single most appropriate statistical package to use as an aid in teaching statistics. A brief review of literature in which SAS is compared to SPSS, BMDP, and other packages is followed by six examples which demonstrate features unique to SAS which have pedagogical utility. Of particular…

This is unit three of a fifteen-unit secondary mathematics textbook. This unit contains two chapters. The first chapter discusses integers and the second chapter discusses rational numbers. Operations with both types of numbers as well as the structure of the systems are discussed. (MK)

Some of the factors that have been considered in relation to the teaching of mathematics, especially to students in urban schools, are examined in this paper. First, information on the mathematics achievement levels of students with different demographic characteristics is presented; the extreme variance in achievement between students from high…

The two sections found in this publication, "Integrating Computer Literacy With Existing Classes" and "Guide to Computer Augmented Trigonometry," were written by participants in two summer courses at the University of Oregon. The first section addresses the general topic of teaching computer literacy through existing classes,…

This paper describes the research program of the Mathematics Work Group of the Wisconsin Research and Development Center for Individualized Schooling. The major interest is in the development of children's abilities to solve verbal addition and subtraction problems and particularly in the processes and strategies used by children. Three factors…

The first two parts of this paper deal with the potential and reality of mathematics in education. In the third section, some recommendations are made for narrowing the gap which seems to exist between the potential and the reality. Among these fifteen recommendations are: (1) the public should be educated about the nature of mathematics; (2)…

The term Chisanbop is the trademark for the finger calculation method originally developed by a Korean, Sung Jin Pai. It was refined and simplified by his son, Hang Young Pai, who introduced the technique to the United States in 1976. This annotated bibliography has been organized in five categories. Readings in the first category, Historical…

This area package emphasizes three facets: (1) the concept of area as a covering; (2) the square unit; and (3) formula development. There are two enrichment activities included. The first requires the aid of a programmable calculator or computer. (Author/MK)

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 objectives of this module on making comparisons and ratios include using ratios to compare sets of objects and expressing ratios as decimals or fractions in lowest terms. The module provides six experiments. An envelope of manipulatives accompanies each of the first three experiments. The fourth experiment requires a multispeed bicycle. The…

The purpose of this module is to acquaint students with the terms prime, composite, and factor. This is done by offering a definition of each term, then reinforcing its meaning through activities. (Author/MK)

THE PROGRAM ATTEMPTS TO TEACH NEW MATHEMATICAL CONCEPTS TO ELEMENTARY SCHOOL CHILDREN WITHOUT THE BURDEN OF LEARNING A COMPLETELY NEW VOCABULARY. THE PROGRAM WILL SEEK A HIGH DEGREE OF PUPIL INVOLVEMENT BROUGHT ABOUT BY FOSTERING A SPIRIT OF INQUIRY AND INVESTIGATION. THE ABSENCE OF "ANSWERS" FROM AN AUTHORITY WILL BE NOTED THROUGHOUT…

This is the instructor's guide to a text designed for the contemporary business student who frequently questions the need for studying mathematics. The text material is presented in a "building-block" fashion, with skills learned in earlier chapters organized to provide a smooth transition into more difficult topics. This guide consists…

This curriculum guide for the K-6 mathematics program for Manitoba schools was developed as part of an overall revision of mathematics programs for Manitoba schools and is designed to articulate with the new guide for grades 7-9. Included in this document are: (1) an overview of formal number work, concepts, and skills, grades 1-6; (2) a general…