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Interjecting Scripting Studies into a Mathematics Education Research Program: The Case of Zero-Divisors and the Zero-Product Property

  • Dov ZazkisEmail author
  • John Paul Cook
Chapter
Part of the Advances in Mathematics Education book series (AME)

Abstract

The goals of this chapter are twofold. The first goal is to present our emerging research on students’ understanding of concepts in ring theory, specifically zero-divisors and the zero-product property (ZPP). This naturally includes discussion of our methods and how findings related to the ZPP were obtained and reconfirmed. The second goal, which is the one pertinent to the theme of this book, is to present student-generated scripts as a valuable, low-cost data source which can be used in conjunction with conventional data in order to confirm known results and generate new ones. We discuss the interplay of these data sources and how they have contributed to the progress of our research.

Keywords

Zero-product property Proving Proof validation Abstract algebra Ring Group 

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Arizona State UniversityTempeUSA
  2. 2.Oklahoma State UniversityStillwaterUSA

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