Presented is a guide for assessing the strength and effectiveness of school mathematics programs and for setting directions for change. The guide lists 21 standards under the headings of Instruction, Curriculum and Instructional Materials, the Teacher, and Physical Facilities and Equipment. In a section titled "Implementation," the guide provides…

In one project phase, assessments of cognitive levels in grades seven and eight on fractions and ratio concepts were made and compared to the corresponding cognitive demands of curriculum guide objectives, authorized textbooks, teacher presentations, and teacher-made tests. Considerable gaps were found between student cognitive level and…

This document consists of a list of the references on calculators which were collected by the Calculator Information Center prior to June 1979. Included are references which previously appeared on bulletins distributed by the Center, plus articles from newsletters and similar less readily available sources and from non-American sources. Most…

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)