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Theories Of Metaphors

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In previous chapter I mentioned the meaning, definition and different theories of metaphor that gives fundamental role in the development of mathematical understanding. I start this part by presenting the role of metaphors in the development of mathematical understanding found in literature, and reviewing categorizations and analysis of metaphors done by different researchers. However, many of the researchers who studied metaphors argue that all of our thinking is fundamentally metaphorical. With this view Lakoff and Johnson (1980) speaks “the way we think, what we experience, and what we do every day is very much a matter of metaphor” (p. 3) even though metaphor may remain largely unnoticed. Lakoff and Nunez (2000) define metaphor as a conceptual …show more content…

39). In my study such distinctions correspond to objects and actions in everyday activities of indigenous people. Similar to the Lokaff and Nunez, Pimm (1987) talks about extra-mathematical and structural metaphors: There are two main sources of metaphor which may be of interest in mathematics education. The first consists of what I term extra-mathematical metaphors. These attempts to explain or interpret mathematical ideas and processes in terms of real world events, and such metaphors can involve everyday objects and processes… The second main source, which I call structural metaphors… involves a metaphoric extension of ideas from within mathematics itself (p. …show more content…

Metaphors are used not only for communication purposes, but also can be considered as thinking devices intended for teaching and learning abstract mathematical ideas. In this study I took artefacts as the metaphor which enable to support mathematics learning. With this regard, the research about the effectiveness of the concrete materials showed positive effect on learning and attitude towards mathematics (Sowell, 1989). The use of artefacts such as concrete materials to support mathematics learning is commonplace in mathematics education. My study focused on how students and teachers interact with concrete materials used in teaching

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