When intuition beats logic: Prospective teachers' awareness of their same sides - Same angles solutions

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Abstract

This paper indicates that prospective teachers' familiarity with theoretical models of students' ways of thinking may contribute to their mathematical subject matter knowledge. This study introduces the intuitive rules theory to address the intuitive, same sides-same angles solutions that prospective teachers of secondary school mathematics come up with, and the proficiency they acquired during the course "Psychological aspects of mathematics education". The paper illustrates how drawing participants' attention to their own erroneous applications of same sides-same angles ideas to hexagons, challenged and developed their mathematical knowledge.

Original languageEnglish
Pages (from-to)255-279
Number of pages25
JournalEducational Studies in Mathematics
Volume65
Issue number3
DOIs
StatePublished - Jul 2007

Keywords

  • Angles
  • Intuitve rule
  • Polygons
  • Prospective teacher
  • SMK
  • Same A-same B
  • Sides

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