This study investigated 11 pre-service middle school teachers' solution strategies for exploring their knowledge of fraction division interpretations. Each participant solved six fraction division problems. The problems were organized into two sets: symbolic problems (involving numbers only) and contextual problems (involving measurement…

The purpose of this article is to examine one possible extension of greatest common divisor (or highest common factor) from elementary number properties. The article may be of interest to teachers and students of the "Australian Curriculum: Mathematics," beginning with Years 7 and 8, as described in the content descriptions for Number…

At grade 7, Common Core's content standards call for the use of long division to find the decimal representation of a rational number. With an eye to reconciling this requirement with Common Core's call for "a balanced combination of procedure and understanding," a more transparent form of long division is developed. This leads to the…

Explores the number problem of writing an expression for each of the unit fractions using any digit exactly four times. Includes tables of expressions for unit fractions. (MKR)

Discusses the characteristics of repeating decimals to facilitate the translation of repeating decimals to fractions. Describes the algebraic and arithmetic methods for converting the repeating decimal. Illustrates arithmetic operations for n-digit integer. Eight references are listed. (YP)

One in a series of core instructional materials for apprentices to use during the first or second years of apprenticeship-related subjects training, this booklet deals with basic mathematics. The first section consists of an outline of the content and scope of the core materials as well as a self-assessment pretest. Covered in the three…

Intended for use as a part of the adult basic education teaching/learning management system called CUBE (Continuity and Unity in Basic Education), these instructional materials consist of a math placement inventory, guide sheets, mastery tests, and eight sections of learning activities covering areas of basic mathematics. Topics addressed in the…

This document, which is intended for workplace trainers, contains materials for conducting five workplace mathematics courses that were developed through the Workplace Training Project, a partnership involving Lane Community College in Oregon and five area businesses. The five courses, which were developed by project staff based on the business…