Abstract

This paper describes how mathematic teacher’s content knowledge informs teachers’ pedagogical content knowledge in the use learner-centred approaches and decision when teaching mathematics. Two trained mathematics teachers in the use of learner-centred approaches who were teaching mathematics at ordinary secondary school level in Tanzania were involved. Data was collected through classroom observation, video recording of classroom events and teacher’s self-reflections. Thematic analysis procedure both at conceptual and manifest level was employed. The findings indicated that, teacher’s weak knowledge of contents as a component of pedagogical content knowledge in the use of learner-centred approaches led to teacher’s inability to help students’ construct knowledge of the subject matter that teachers taught. The trained teachers did not teach lessons that were learners’ focused and were unable to help students discover the relationship between contents they taught with other contents in the syllabus. Teachers’ lack of content knowledge led to teachers’ communication of their misunderstanding to students through teacher-centred teaching approaches. In addition, these experienced teachers were unable to help students describe the rationale for learning contents. It is recommended that cementing on leaner-centred approaches during teachers’ professional development programs should go hand in hand with capitalizing on teacher’s knowledge of contents.

Highlights

  • Pedagogical Content Knowledge (PCK) was introduced by Shulman (1986) as a specialized professional knowledge for teachers that distinguish the teaching profession from other professions

  • This paper describes how mathematic teacher’s content knowledge informs teachers’ pedagogical content knowledge in the use learner-centred approaches and decision when teaching mathematics

  • The findings indicated that, teacher’s weak knowledge of contents as a component of pedagogical content knowledge in the use of learner-centred approaches led to teacher’s inability to help students’ construct knowledge of the subject matter that teachers taught

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Summary

Introduction

Pedagogical Content Knowledge (PCK) was introduced by Shulman (1986) as a specialized professional knowledge for teachers that distinguish the teaching profession from other professions. Since teacher’s PCK is recognized as an algamation of both pedagogical and content knowledge (Magnusson et al, 1999), these construct in mind helped the researchers to assess content knowledge as a component of teacher’s PCK in the use of LCA as a teacher’s personal construct. The study assessed ways in which a trained mathematics teacher make decision on when to use LCA for specific learners, group of learners and organize contents while putting learners at the centre of teaching and learning process. Hill, Ball, and Schilling (2008) knowledge base for teaching mathematics guided the assessment of content knowledge as a component of PCK in LCA using both the SMK and PCK categories (Figure 1). Each teacher’s content knowledge data was presented in a continuum with weak content knowledge attributes on one end and strong content knowledge on the other end

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