This document is the fourth of seven units developed by the Math Network Curriculum Project. Each unit, designed to be a 2-week module, is a teacher's guide which includes detailed directions along with the courseware and software needed. Teacher intervention in the non-computer activities that begin each unit is required, and the consistent use…

A two part examination of the evidence concerning one possible basis for the poor mathematical performance of United States students, the content of the textbooks used in their classes, is presented. The results of a detailed analysis of Japanese and U.S. mathematics textbooks for grades 1 through 12 are reported. Two international studies (1964…

In order to assist elementary and middle school teachers in teaching the skills associated with the concepts of perimeter, area, and volume, this addition to the National Council of Teachers of Mathematics "How to..." series is intended to supplement a text with practical information written in nontechnical language. Each chapter…

This paper gives results of a review of 41 high school, junior high school, and college algebra and mathematics textbooks. The review focuses on two facets of the curriculum: (1) the presentation of the concept of variable; and (2) word problems and the presentation of problem solving skills. With regard to the variable concept it was concluded…

This document reports on a project that is examining some of the difficulties encountered in teaching word problems involving multiplication, division, and intensive quantities. Some of the various uses of these operations and their structures are considered. Described are discoveries and assumptions regarding students' cognitive models of these…

This document contains the course syllabus and 12 independent practice modules for a college level mathematics course designed to provide the necessary foundation for success in calculus, develop logical thinking skills, and enhance analytic skills through problem solving. Topics include relations and functions; inequalities; complex numbers;…

This issue of the newsletter focuses on the teaching of mathematics to mildly handicapped students. The feature article reviews the theory of generalization and its application to specific practices in teaching arithmetic. A set of six-step guidelines is offered for the teacher to follow in ensuring that generalization of arithmetic skills takes…

A literature survey of more than 800 sources, 80 of which were judged to be relevant, assessed the problems Native Alaskans and American Indians experience in learning elementary and junior high school mathematics, and focused on problems amenable to solution through computer presentation of mathematics materials. Empirical evidence indicated that…

Exercises from the National Assessment of Educational Progress (NAEP) third mathematics assessment are provided in this released exercise set. Exercises were administered to 9-year-olds, 13-year-olds, and 17-year-olds. Some exercises were administered to only one age group, others to two or more age groups. The set is divided into two parts: text…

This resource manual was designed to enable teachers to help students: (1) solve problems and to grow in their capability to deal with new or different situations; (2) use mathematics as a tool in the pursuit of personal goals and aspirations; and (3) develop a positive self-concept and a positive attitude toward mathematics and lifelong learning.…

The National Assessment of Educational Progress (NAEP) completed its fourth mathematics assessment during the 1985-86 school year and finished the analyses of the results in 1988. This monograph, prepared by an interpretive team of the National Council of Teachers of Mathematics, represents a comprehensive discussion of the results of the fourth…

This is one of five panel reports that have been prepared as part of the first phase of Project 2061, a long-term multipurpose undertaking of the American Association for the Advancement of Science designed to help reform science, mathematics, and technology education in the United States. Major sections included are: (1) "Introduction";…

This paper uses a structural model with a large random sample of urban children to explain children's competence in math concepts and computation at the time they begin first grade. These two aspects of math ability respond differently to environmental resources, with math concepts much more responsive to family factors before formal schooling…

This catalog describes 38 successful mathematics education programs in six states. In each program the site, content focus, grade level, program description, and address for contact are provided. Summary tables are organized by content focus; grade level; and by achievement level of students targeted by programs including special, remedial,…

The learning difficulties that students experience with fractions begin immediately when they are shown fraction symbols with one numeral written above the other and told that the "top number" is called the numerator and the "bottom number" is called the denominator. This introduction to fractions will usually include a few visual diagrams to help…