AN INTERPRETIVE EXAMINATION OF ANALOGIES USED IN NINTH-GRADE MATHEMATICS CLASSROOMS ON THE UNIT OF FUNCTIONS

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2022-9-02

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Ünver Sezer, Emel

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The primary purpose of the current study is to examine how two mathematics teachers and their 121 ninth-grade students from five different classes employ analogies in the unit of functions in natural classroom settings and the features of used analogies. This study also portrays how the features of analogies vary from teacher to teacher and from class to class. The corpus of the materials collected for the present study includes video recordings and transcriptions of lessons, field notes, informal conversations with teachers, and all teaching materials. Identified 215 analogies are analyzed according to the Analogy Features Framework (AFF) developed based on the criteria of Curtis and Reigeluth (1984) and of Thiele and Treagust (1994a). The findings of the study revealed that teachers mainly chose analogies from their own experiences or knowledge bases, revolved around a few favorite analogies by repeating or extending, and used almost the same analogies with the same features in all their classes with a few differences that they were not aware. On the other hand, findings disclosed that the students generally generated analogies upon the request of their teachers, and their analogies had similar features to those of teachers. The research suggests that teachers need to have a repertoire of sound analogies, including correctly identified analog and target attributes and epistemologically valid mappings, which will increase their ability to create effective analogies during classroom practices. It also recommends the systematic presentation of analogies through a theoretical model to maximize their potential benefits and minimize their potential limitations.

Subject Keywords

Functions, Analogy, Interpretive Examination

URI

https://hdl.handle.net/11511/99720

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

E. Ünver Sezer, “AN INTERPRETIVE EXAMINATION OF ANALOGIES USED IN NINTH-GRADE MATHEMATICS CLASSROOMS ON THE UNIT OF FUNCTIONS,” Ph.D. - Doctoral Program, Middle East Technical University, 2022.