Work with recurring decimals provides pupils with an opportunity for exploration and examination of a wide variety of mathematical ideas and strategies. Examples of work done by one group of pupils who were presented with an opportunity to explore such decimals is featured. (MP)

These are some of the individual materials needed by students using the Comprehensive School Mathematics Program for the Intermediate Grades, Part VI. The book of "Worksheets" contains materials that are labeled with the same letter and number as the lessons with which they are to be used. The six "Collage of Problems" booklets…

The problem of getting a correct result when a fraction is reduced by cancelling a digit which appears in both the numerator and the denominator is extended from the base ten situation to any number base. (DT)

Discusses an algorithm that converts a fraction in simplest form into a terminating decimal and allows students to explore the efficacy and conceptual bases of a mathematical algorithm. (ASK)

An outline of the way that fractions might be presented in ninth grade algebra is given, and implications for elementary school instruction are noted. (DT)

This booklet was written to provide elementary-school teachers with an overview of some of the research results related to the development of computational skills, together with ideas for classroom activities which have grown out of research projects. The booklet is organized into twelve sections, the first of which is devoted to delineating the…

A method for generating Pythagorean triples is presented and demonstrated with several examples. Its relationship to another method is shown and several interesting related facts are proven. (LS)

Common mistakes pupils make when adding fractions are categorized and analyzed. (MP)

The major portion of the article establishes the basis for the stated rule - to divide by a fraction, turn it upside down and multiply. With this background, three justifications for the rule are given. Several possible errors in students' use of the rule are noted. (LS)

This guide continues instruction of the three guides in SE 012 723 and of the two guides included in SE 012 724. Counting skills, appreciation of pattern and order, and understanding of place value are extended to numbers up to one million, and the associative, commutative and distributive laws are made explicit. Manipulation of equations is…

Algorithms are developed and presented for the addition and multiplication of positive rational numbers using only their repeating decimal representation. (MN)