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Pre-Service Teachers' Understanding of the Concept and Representations of Irrational Numbers  

Choi, Eunah (Woosuk University)
Kang, Hyangim (Korea National University of Education)
Publication Information
School Mathematics / v.18, no.3, 2016 , pp. 647-666 More about this Journal
Abstract
This study investigates pre-service teacher's understanding of the concept and representations of irrational numbers. We classified the representations of irrational numbers into six categories; non-fraction, decimal, symbolic, geometric, point on a number line, approximation representation. The results of this study are as follows. First, pre-service teachers couldn't relate non-fractional definition and incommensurability of irrational numbers. Secondly, we observed the centralization tendency on symbolic representation and the little attention to other representations. Thirdly, pre-service teachers had more difficulty moving between symbolic representation and point on a number line representation of ${\pi}$ than that of $\sqrt{5}$ We suggested the concept of irrational numbers should be learned in relation to various representations of irrational numbers.
Keywords
irrational number; concept of irrational number; decimal representation; geometric representation; incommensurability;
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Times Cited By KSCI : 3  (Citation Analysis)
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