Educational Studies in Mathematics

, Volume 92, Issue 2, pp 221–241

Putting the unit in pre-service secondary teachers’ unit circle

  • Kevin C. Moore
  • Kevin R. LaForest
  • Hee Jung Kim
Article

Abstract

We discuss a teaching experiment that explored two pre-service secondary teachers’ meanings for the unit circle. Our analyses suggest that the participants’ initial unit circle meanings predominantly consisted of calculational strategies for relating a given circle to what they called “the unit circle.” These strategies did not entail conceiving a circle’s radius as a unit of measure. In response, we implemented tasks designed to focus the participants’ attention on various measurement ideas including conceiving a circle’s radius as a unit magnitude. Against the backdrop of the participants’ actions on these tasks, we characterize shifts in the participants’ unit circle meanings and we briefly describe how these shifts influenced their ability to use the unit circle in trigonometric situations.

Keywords

Unit circle Trigonometry Pre-service secondary teachers Measurement Teaching experiment Quantitative reasoning 

Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • Kevin C. Moore
    • 1
  • Kevin R. LaForest
    • 1
  • Hee Jung Kim
    • 1
  1. 1.University of GeorgiaAthensUSA

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