Conventions, habits, and U.S. teachers’ meanings for graphs

Kevin C. Moore, Jason Silverman, Teo Paoletti, Dave Liss, Stacy Musgrave

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

In this paper, we use relevant literature and data to motivate a more detailed look into relationships between what we perceive to be conventions common to United States (U.S.) school mathematics and individuals’ meanings for graphs and related topics. Specifically, we draw on data from pre-service (PST) and in-service (IST) teachers to characterize such relationships. We use PSTs’ responses during clinical interviews to illustrate three themes: (a) some PSTs’ responses implied practices we perceive to be conventions of U.S. school mathematics were instead inherent aspects of PSTs’ meanings; (b) some PSTs’ responses implied they understood certain practices in U.S. school mathematics as customary choices not necessary to represent particular mathematical ideas; and (c) some PSTs’ responses exhibited what we or they perceived to be contradictory actions and claims. We then compare our PST findings to data collected with ISTs.

Original languageEnglish
Pages (from-to)179-195
Number of pages17
JournalJournal of Mathematical Behavior
Volume53
DOIs
StatePublished - 1 Mar 2019

Keywords

  • Conventions
  • Function
  • Graphs
  • Quantitative reasoning

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