This study had two purposes: (a) to investigate the developmental relationship between students' uses of fractions notation and their understandings of part-whole relations; and (b) to produce an analysis of the role of fractions instruction in students' use of notation to represent parts of an area. Elementary students (n = 384) in 19 classes…

The pre-algebra lexicon is a set of classroom exercises designed to teach the technical words and phrases of pre-algebra mathematics, and includes the terms most commonly found in related mathematics courses. The lexicon has three parts, each with its own introduction. The first introduces vocabulary items in three groups forming a learning…

A traditional view of mathematics learning suggests that basic fact knowledge provides a cornerstone for success in problem solving. But possibly, for some children, automated basic fact responses may be disadvantageous for their problem solving success. The purpose of this study was to investigate the relationship between basic fact knowledge and…

The 13 leading mathematics educators who made up the task force that prepared this report were thoroughly acquainted with every major report on math education produced within the last decade. They were also thoroughly acquainted with the realities of instruction in the K-12 classrooms. Their aim, therefore, was to make appropriate compromises…

The Calculators in Primary Mathematics Project was a long-term investigation into the effects of the introduction of calculators on the learning and teaching of primary mathematics. The Australian project commenced with children who were in kindergarten and grade 1 in 1990, moving up through the schools to grade 4 level by 1993. Children were…

The efficacy of an early mathematics program aimed at developing number sense and built entirely on children's invented procedures and on their informally acquired quantitative knowledge was studied. To socialize children to think of themselves as reasoners about numbers, the classroom program routinely provided daily conversation about numbers…

A cloze-type procedure can be used effectively to teach interpreters how to anticipate what the speaker will say, inferring communicative intention. The exercise uses a text from which words are deleted, not randomly as in the true cloze procedure, but in significant locations or contexts. The words or groups of words suppressed are progressively…

The role of computers (especially microcomputers) in the mathematics curriculum and suggestions for using them in mathematics instruction are discussed in this yearbook. The 27 articles are presented under five headings. Part 1, Issues, includes articles on comprehensive instructional computing, possible new curricula, and a syllabus for a…

This report describes phase 1 of a projected 2-phase project designed to investigate the feasibility of developing an interactive videodisc to teach math and science concepts to preschool handicapped children. A videodisc system is proposed that would allow children to manipulate real-world objects in order to acquire concrete knowledge about…

"Math Notebook" is published five times a year as a supplement to the "NCTM News Bulletin." This document consists of the five issues published during 1990. Each issue is devoted to a single math topic. The five topics represented here are: (1) "Concept of Number"; (2) "Basic Skills: Development of Number Concepts" (a continuation of "Concept of…

Based on suggestions of participants at the second annual Instructional Methods Forum held in June 1989, the monograph considers cognitive-based approaches to teaching mathematics to students with learning problems. It addresses identification of characteristics of successful cognitive approaches and the role of media and materials. An…

This module is the 10th in a series of 12 learning modules designed to teach occupational mathematics. Blocks of informative material and rules are followed by examples and practice problems. The solutions to the practice problems are found at the end of the module. Specific topics covered include the metric concepts of mass, weight, and volume…

This manual was designed for use in conducting staff development sessions for elementary teachers of mathematics in Mississippi in grades K-6. The four topical areas treated in the document are: (1) measurement and geometry; (2) fractions; (3) procedural errors in arithmetic; and (4) problem solving. The number of instructional hours necessary for…

This document is designed to assist administrators and teachers in planning, developing, and implementing grades K-9 mathematics programs and to provide some guidelines for grades 10-12 instruction. It is intended to provide a philosophical foundation and curricular framework from which educators may construct a comprehensive local program to meet…

This is a textbook of games for children of ages two through seven. In each section, games are listed from the basic to the more sophisticated and advanced. The book contains sections addressing: (1) counting and counting games; (2) travel games; (3) card games; (4) board games; and (5) games and activities with other things. (PK)