This study focuses on the nature of preservice elementary school teachers' understandings of several concepts in elementary number theory that are evoked by a computer-based microworld called "Number Worlds". In particular, the focus is on the concepts of factor, multiple and prime number. The notion of "thickness" is examined with respect to…

Background and aims: In order to develop arithmetic expertise, children must understand arithmetic principles, such as the inverse relationship between addition and subtraction, in addition to learning calculation skills. We report two experiments that investigate children's understanding of the principle of inversion and the relationship between…

Four preschool children with developmental delays were taught to name the numerical value of sets of geometric figures, the corresponding numeral, the corresponding number word, and the corresponding Roman numeral. Half of the stimuli were taught with instructive feedback and the other half without, as two conditions were established: the future…

This book is divided into eight sections. Section One, "A New Look at Mathematics: Rationale and Strategies for Reforming Mathematics", includes: An Overview of Mathematics Reform; Management for Computation Skills; Math Strategies for Individualized or Small Group Instruction; Math Strands Planning Activity; and Performance Assessment. Section…

This document describes how 10 mathematics and numeracy teachers from Technical and Further Education colleges and community providers in Australia assisted in identification of mathematics skills that would form the mathematics component of the Adult Basic Education Curriculum Framework. The draft competencies are organized under the headings of…

This book provides a comprehensive collection of 66 teaching strategies and ideas to help overcome problems with number, each linked to a specific kind of error described in the related manual. Most of these strategies are classroom-ready and easily implemented. Some are notes for the teacher to read and then plan activities accordingly, and many…

This document consists of the first two volumes of a new annual serial devoted to surveying some of the important developments in the mathematical sciences in the previous year or so. Mathematics is constantly growing and changing, reaching out to other areas of science and helping to solve some of the major problems facing society. Volumes 1 and…

This book presents research undertaken as a two-year investigation of two sets of related questions about teacher understanding concerning rational numbers, quantity, and proportional reasoning and how this knowledge affects teachers' awareness of how students learn. Chapter 2 provides a conceptual framework. Chapter 3 presents detailed…

In 1988-89 the Connecticut Vocational-Technical School System initiated a program for the ongoing review and upgrading of all trade and academic curricula used in the system's 17 schools to insure that each curriculum is consistent with current standards. Every 3 years the Curriculum Steering Committee for the trade or academic subject conducts a…

This curriculum guide, designed for use with secondary migrant students, presents mathematics activities in the areas of whole numbers, fractions, decimals, percent, measurement, geometry, probability and statistics, and sets. Within the categories of whole numbers, fractions, and decimals are activities using addition, subtraction,…

Whether boys and girls perform differently on mathematics estimation items with a picture format (applied context [AC] items) compared with items with a numbers-only (NC) format was studied when effects of computational skill, conceptual knowledge, and quantitative ability were controlled. Subjects were approximately 80,000 students from grades 4…

This publication, a result of the Basic Skills Assessment Program (BSAP), is designed for use as a resource or reference guide and not as a basic skills textbook. It focuses on that part of the mathematics curriculum which is reflected in the South Carolina State Basic Skills Objectives. Information is provided not only for the grades tested by…

This document is one in a series of books on terminology designed to help Vietnamese students overcome language obstacles. The English word is given, followed by the explanation in Vietnamese. Some illustrations are included. (MNS)

Discussion material and exercises related to pre-algebra groups are provided in this five chapter manual. Chapter 1 (mappings) focuses on restricted domains, order of operations (parentheses and exponents), rules of assignment, and computer extensions. Chapter 2 considers finite number systems, including binary operations, clock arithmetic,…

These instructional materials were produced as part of the project, Developing Computational Estimation Materials for the Middle Grades. The introduction to these sixth grade materials covers the following: why teach estimation; how the materials were developed; and how the lessons are organized. The 15 lessons that follow are designed to teach…