Teaching Definitions without Definitions: How Can Preservice Teachers Teach Differently?

정의 없이 정의 가르치기: 예비교사는 어떻게 자신이 배웠던 방식과 다르게 가르칠 수 있는가?

  • Received : 2014.05.23
  • Accepted : 2014.06.27
  • Published : 2014.08.31


For preservice teachers' instrumental-to-relational pedagogical content knowledge transformations, this research designed several didactical tasks based on Kinach's cognitive strategies. The researcher identified preservice teachers' understanding about what is a definition and how to teach it. By challenging their fixed ideas about definitions, the researcher could motivate them to embrace the new teaching approach which guides reinvention of definitions. The PCK development was not the simple process of filling their tabular rasa PCK with theories of mathematics education, but the dialectical process of identifying, challenging, changing and extending preservice teachers' existent PCK. This research will contribute to explore new directions of mathematics teachers' PCK development and the method of teacher education.