Affiliation:
1. 1 Is a graduate student in the learning sciences department of the School of Education and Social Policy at Northwestern University.
2. 2 Is a fifth-grade teacher at Orrington Elementary School in Evanston, Illinois
Abstract
This article describes a method for teaching ratio and proportion in a fifthgrade classroom. Our unit design creates and follows a learning path that begins with revisiting multiplication as repeated addition. It then explores patterns in the multiplication table and moves to the concept of rate as a single column out of the multiplication table. Next, students discuss ratio as two linked rate columns, or a ratio table, then look at two rows out of a ratio table, or a proportion quartet. As a fifth-grade introduction to ratio and proportion, this unit focuses on integer cases, that is, situations in which the question mark in a:b = c:? is an integer. This emphasis fosters multiplicative reasoning in a developmentally appropriate numerical environment.
Publisher
National Council of Teachers of Mathematics
Subject
Computer Networks and Communications,Hardware and Architecture,Software
Cited by
4 articles.
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1. BeatTable;Proceedings of the 12th International Conference on Interaction Design and Children;2013-06-24
2. Toward a taxonomy of design genres;Proceedings of the 12th International Conference on Interaction Design and Children;2013-06-24
3. Rethinking Intensive Quantities via Guided Mediated Abduction;Journal of the Learning Sciences;2012-10
4. Interesting and difficult mathematical problems: changing teachers’ views by employing multiple-solution tasks;Journal of Mathematics Teacher Education;2012-03-10