Describes the construction and use of the "fraction computer," a simple manipulative that helps pupils understand how to add and subtract unlike, unrelated fractions. (YDS)

Contrasts nominal, cardinal, and ordinal uses of numbers with linguistic and historical examples. (MKR)

Describes a supplementary method for teaching equivalent fractions through the use of a multiplication matrix, providing a simple visual and concrete activity that aids learners in understanding this difficult concept. (SR)

Demonstrates some of the usefulness of number theory to students on the high school setting in four areas: Fibonacci numbers, Diophantine equations, continued fractions, and algorithms for computing pi. (ASK)

Discusses two common student errors regarding fractions. Presents different solution strategies for finding a fraction. (ASK)

Four experiments examined children's understanding of the inverse relationship between the number of parts into which a quantity is divided and the size of each part. Found that children tended to judge that bigger shares resulted from sharing with more recipients. Seven-year olds performed correctly on a simplified equal-sharing task. Five-year…

Presents transcripts of interviews with two children to illustrate their understanding of traditional fraction notation. Suggests an activity to help children construct schemes to coordinate units. (MKR)

This book is a teacher development tool presenting information to help facilitate discussions of the cases found in a companion book. The introduction discusses the values of case-based instruction, organizing a case discussion group, introducing participants to case discussions, preparing for a case discussion, discussing a case, anticipating and…

These instructional materials were produced as part of the project, Developing Computational Estimation Materials for the Middle Grades. The introduction to these seventh 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…

These instructional materials were produced as part of the project, Developing Computational Estimation Materials for the Middle Grades. The introduction to these eighth 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…

Activities for teaching mathematics in kindergarten through grade 8 are included in this guide. Both original ideas and ideas gleaned from various sources, including teachers in the district, are presented. The introduction briefly discusses the importance of developing understanding of concepts, processes, and relationships, the need for…

This book provides practical ideas and information for volunteer tutors and teachers about teaching numeracy, as well as a reference section that concentrates on specific content areas. The first part of the book considers teaching techniques, the planning and presentation of numeracy material, evaluation of progress, reinforcement of newly…

This collection of learning activities is intended for use in reinforcing mathematics instruction as it relates to the metal trades. Fifty activity sheets are provided. These are organized into units on the following topics: numeration, adding whole numbers, subtracting whole numbers, multiplying whole numbers, dividing whole numbers, factoring,…

This booklet was developed for industrial arts students who demonstrate a need for additional instruction in mathematics, with the focus on the content needed for drafting. The eight topics included are: how to read a ruler, reading a one-fourth inch scale, multiplication of whole numbers, how to find square footage from an architectural floor…

This student manual is concerned with the practical application of mathematics as used by masons. The manual's design allows students to work at their own pace. Included in each of the five units are individual lesson sheets with written instructions and explanations. Each information sheet states that topic's objectives, information about the…