When Intuition Beats Logic: Prospective Teachers’ Awareness of their <Emphasis Type="Italic">Same Sides – Same Angles</Emphasis> Solutions |
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Authors: | Pessia Tsamir |
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Institution: | (1) Tel Aviv University, Tel Aviv, Israel |
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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. |
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Keywords: | prospective teacher polygons angles sides intuitve rule same A-same B SMK |
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