This book serves as a guide for Australian parents who want to take an active role in the mathematics learning of their children. It presents material so that families will learn, think, and talk about mathematics. Many family-life lessons, such as weighing out ingredients for a cake or choosing the best route to the zoo, are presented. The book…

The purpose of this curriculum guide is to assist Training Specialists to teach Adult Basic Education/General Education Development (ABE/GED) students intermediate skills in reading, English, and mathematics. The guide begins with an introduction (purpose, overview, adult learner characteristics, teacher type), curriculum policies, curriculum…

This study analyzed graphical solutions of 344 students in grades 4 through college who were administered a 40-item assessment of basic fraction concepts. Of particular interest were six problems that required students to complete the whole given a fractional part presented in area contexts and set contexts. Results indicated that fourth graders…

The artifacts (instructional games) created by a class of fourth-grade students engaged in designing educational games are analyzed. To facilitate the analysis, these artifacts were compared with products created by students in a similar design context who were creating instructional software. In both situations, inner-city fourth graders were…

In these two companion papers, a learning activity is introduced that teaches students how mathematics works through the visual aid of picture grids. The picture grids are composed of 60 different acrylic stained-glass window overlays. Each fractional part is represented by a different color: fifths are green, quarters are yellow, etc. The square…

Explicit representation of relations plays some role in virtually all higher cognitive processes, but relational knowledge has seldom been investigated systematically. This paper considers how relational knowledge is involved in some tasks that have been important to cognitive development, including transitivity, the balance scale, classification…

Three short articles about large type transcribing are provided for braille transcribers and teachers of the visually handicapped. The first article lists general suggestions for simple typewriter maintenance. The second article reviews the guidelines for typing fractions in large type for mathematics exercises. The third article describes a…

Decimal numbers have become an increasingly important topic of the elementary and junior high school mathematics curriculum. However, national and state education assessments indicate that students have incomplete and distorted conceptions of decimal numbers. This paper reports initial data from a two-year project designed to elicit and describe…

This document is part 2 of the workbook for grade 5 pupils in the Comprehensive Instructional Management System, a unified mathematics curriculum for kindergarten through grade 7. Each objective is developed by a variety of strategies, with mastery of objectives diagnosed through a testing component. The activities in the student workbook are…

The SCOPE Mathematics Achievement Test booklet for grade 6 presents 12 mathematical concepts with instructions for students to take the test with little or no teacher direction. Testing items are: dividing with remainder, up to a six digit dividend by a three digit divisor; using correct order of operations in three-step problems; applying…

This course is designed to review the arithmetic skills used by many Marines in the daily pursuance of their duties. It consists of six study units: (1) number systems and operations; (2) fractions and percents; (3) introduction to algebra; (4) units of measurement (considering both the metric and United States systems); (5) geometric forms; and…

This report illustrates procedures of item construction for addition and subtraction examples involving decimal fractions. Using a procedural network of skills required to solve such examples, an item characteristic matrix of skills analysis was developed to describe the characteristics of the content domain by projected student difficulties. Then…

Three different methods of teaching fraction computation were compared using community college student scores on measures of fraction computation, fraction understanding, and attitude towards mathematics. One method used conventional algorithms; the second, a control for the effect of using a calculator, used conventional algorithms and…

This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system, and metric and non-metric relations in geometry. Included are chapters on the rational number system; parallels, parallelograms, triangles, and right prisms;…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series is designed to make material for the study of topics of special interest to students readily accessible in classroom quantity. Topics covered include the decimal system, exponential notation, base seven, and the binary and duodecimal…