Secondary mathematics teachers' subject matter knowledge of quadratic functions and its contribution to student learning outcomes

2022-8-31
Karacı Yaşa, Gülzade
The purpose of the present study was to investigate secondary mathematics teachers’ subject matter knowledge (SMK) of quadratic functions and its contribution to teachers’ instructional practice and student learning outcomes. The study was carried out in two stages. In the first stage, a questionnaire was administered to 18 secondary mathematics teachers to identify their SMK of quadratic functions, which has three sub-components: common content knowledge (CCK), specialized content knowledge (SCK), and horizon content knowledge (HCK). Two case studies were conducted to investigate the contribution of teachers’ SMK to student learning outcomes regarding quadratic functions. Two teachers who were voluntary for further investigation were selected among 18 teachers based on their questionnaire results. Both teachers were interviewed before they started their instructional practice on the topic of quadratic functions. Observations were also made during their instructional practice on quadratic functions. Finally, the students of both teachers were administered a test to evaluate their performance on quadratic functions. The result showed that the majority of teachers’ CCK was stronger than their SCK and HCK regarding quadratic functions. The findings also indicated that teachers’ HCK regarding quadratic functions was fairly limited. Teachers have limited knowledge of associating quadratic functions with other content in the high school curriculum and any other concepts from advanced mathematics. Moreover, the data suggested evidence that teachers’ SMK of quadratic functions contributed to student learning outcomes. Teachers’ SMK affected their instructional practices, and their instructional practices contribute to student performance on quadratic functions.

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Citation Formats
G. Karacı Yaşa, “Secondary mathematics teachers’ subject matter knowledge of quadratic functions and its contribution to student learning outcomes,” Ph.D. - Doctoral Program, Middle East Technical University, 2022.