Students’ development of structure sense for the distributive law

Students’ development of structure sense for the distributive law After being introduced to the distributive law in meaningful contexts, students need to extend its scope of application to unfamiliar expressions. In this article, a process model for the development of structure sense is developed. Building on this model, this article reports on a design research project in which exercise tasks support students in developing their structure sense for the distributive law by means of structural mappings and guiding examples. A design experiment was conducted in six groups, each consisting of two eighth graders. Two contrasting cases are qualitatively analyzed and compared in terms of the development of the students’ structure sense for the distributive law. Theoretically, this article provides a development model for structure sense. Empirically, six characteristics of these development processes are reconstructed. Under certain conditions that are discussed in the end, the exercise tasks can help students to develop their structure sense for the distributive law. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Educational Studies in Mathematics Springer Journals

Students’ development of structure sense for the distributive law

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer Science+Business Media Dordrecht
Subject
Education; Mathematics Education; Mathematics, general
ISSN
0013-1954
eISSN
1573-0816
D.O.I.
10.1007/s10649-017-9765-4
Publisher site
See Article on Publisher Site

Abstract

After being introduced to the distributive law in meaningful contexts, students need to extend its scope of application to unfamiliar expressions. In this article, a process model for the development of structure sense is developed. Building on this model, this article reports on a design research project in which exercise tasks support students in developing their structure sense for the distributive law by means of structural mappings and guiding examples. A design experiment was conducted in six groups, each consisting of two eighth graders. Two contrasting cases are qualitatively analyzed and compared in terms of the development of the students’ structure sense for the distributive law. Theoretically, this article provides a development model for structure sense. Empirically, six characteristics of these development processes are reconstructed. Under certain conditions that are discussed in the end, the exercise tasks can help students to develop their structure sense for the distributive law.

Journal

Educational Studies in MathematicsSpringer Journals

Published: Jun 1, 2017

References

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