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An Analysis on Abduction Type in the Activities Exploring 'Law of Large Numbers'  

Lee, Yoon-Kyung (Graduate School, Yeungnam University)
Cho, Cheong-Soo (Yeungnam University)
Publication Information
Journal of Educational Research in Mathematics / v.25, no.3, 2015 , pp. 323-345 More about this Journal
Abstract
This study examined the types of abduction appeared in the exploration activities of 'law of large numbers' in order to figure out relation between statistical reasoning and abduction. When the classroom discourse of students was analyzed by Peirce's abduction, Eco's abduction type and Toulmin's argument pattern, students used overcoded abduction the most in the discourse of abduction. However, there composed a low percent of undercoded abduction leading to various thinking, and creative abduction used to make new principles or theories. By the CAS calculators used in the process of reasoning, students were provided with empirical context to understand the concept of abstract probability, through which they actively participated in the argumentation centered on the reasoning. As a result, it was found that not only to understand the abduction, but to build statistical context with tools in the learning of statistical reasoning is important.
Keywords
abduction; law of large numbers; Toulmin's argument pattern(TAP); CAS calculator;
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Times Cited By KSCI : 6  (Citation Analysis)
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