Preservice teachers' knowledge of linear functions within multiple representation modes

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Title: Preservice teachers' knowledge of linear functions within multiple representation modes
Author: You, Zhixia
Abstract: This study examines preservice teachers ? knowledge in the case of linear functions . Teachers ? knowledge in general consists of their subject matter knowledge and their pedagogical content knowledge . In this study , teachers ? subject matter knowledge is examined by looking at their ability to adapt to different representation modes . The framework for subject matter content knowledge consists of five components : (1 ) flexibility across formal mathematical symbolisms ; (2 ) flexibility between visual and algebraic representations ; (3 ) flexibility within visual representations ; (4 ) flexibility with real -life situations , and (5 ) procedural skills . In terms of pedagogical content knowledge , two aspects were examined across five corresponding components . These two aspects were knowledge of students ? conceptions and misconceptions , and teachers ? teaching strategies . The primary source of data for the study was from two tests and six interviews . The results showed preservice teachers performed poorly in terms of representation flexibility . Furthermore , most of the preservice teachers had limited knowledge of the nature and sources of students ? mistakes as well as effective teaching strategies to help students with their misconceptions . In terms of knowledge structure , representation flexibility was found to be significant in both CK and PCK compared to procedural skills . Moreover , the representational flexibility in terms of CK seemed to strongly predict the overall PCK performance . Representational flexibility seemed to be related to the use of instructional representations . Overall , there was a strong relationship between various components of CK and PCK .
URI: http : / /hdl .handle .net /1969 .1 /ETD -TAMU -1663
Date: 2009-05-15

Citation

Preservice teachers' knowledge of linear functions within multiple representation modes. Available electronically from http : / /hdl .handle .net /1969 .1 /ETD -TAMU -1663 .

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