Rational Number Relations and Proportions

Problems of Representation in the Teaching and Learning of Mathematics 2026 Book chapter

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Authors: Richard Lesh, Merlyn J. Behr, Thomas R. Post
DOI: 10.4324/9781042000227-6
Cited by: 68

Abstract

This chapter presents examples and some general results from a written test on “relations and proportions” that has been used in our Rational Number (RN) and Proportional Reasoning (PR) projects. The RN and PR projects have included: (1) instructional components in which whole classes of fourth through eighth graders have been carefully observed, tested, and interviewed during “teaching experiments” lasting as long as 20 weeks; and (2) evaluation components in which several thousand second through eighth graders have been tested at a variety of schools in California, Illinois, Minnesota, Pennsylvania, and Utah.

Fields of Study & Subjects

Mathematics and Applications Advanced Algebra and Logic Advanced Mathematical Identities

Publication details

Journal / source
Problems of Representation in the Teaching and Learning of Mathematics
Publisher
Routledge
Pages
41–58
Publication date
21 July 2026
Language
EN
Document type
Book chapter