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An Analysis of the Discourse on the Length Concept in a Classroom for the Length of Space Curve  

Oh, Taek-Keun (Korea Institute for Curriculum and Evaluation)
Publication Information
School Mathematics / v.19, no.3, 2017 , pp. 571-591 More about this Journal
Abstract
The purpose of this study is to understand the characteristics of mathematical discourse about the length in the class that learns the length of the curve defined by definite integral. For this purpose, this study examined the discourse about length by paying attention to the usage of the word 'length' in the class participants based on the communicative approach. As a result of the research, it was confirmed that the word 'length' is used in three usages - colloquial, operational, and structural usage - in the process of communicating with the discourse participants. Particularly, each participant did not recognize the difference even though they used different usage words, and this resulted in ineffective communication. This study emphasizes the fact that the difference in usage of words used by participants reduces the effectiveness of communication. However, if discourse participants pay attention to the differences of these usages and recognize that there are different discourses, this study suggests that meta - level learning can be possible by overcoming communication discontinuities and resolving conflicts.
Keywords
length; discourse; word use;
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