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Reflection Topics and Critical Teaching Questions

The five reflective topics and the accompanying critical teaching questions that form the heart of the site are:

  • Reflecting on the mathematical tasks being used:
    • How mathematically appropriate are the tasks for developing an understanding of the mathematics being taught?
  • Reflecting on the classroom discourse that occurs, including the classroom environment that is created:
    • How effectively does the teacher use questioning to help students develop mathematical understanding?
    • What techniques and strategies are used to orchestrate and promote student discourse and how effective are these strategies implemented?
    • Are there alternative questions that could have been asked to further the development of mathematical understanding? What are they?
  • Reflecting on student learning:
    • What strategies were used to assess student understanding?
    • What evidence is there that students have learned the mathematics being taught?
  • Reflecting on the teaching decisions made:
    • What decisions does the teacher make to achieve the goal of reaching all students?
    • How were transitions made and how effectively was this done?
    • How effectively are student mistakes and misconceptions dealt with?
    • How effectively does the teacher determine when to clarify, explain, question or let a student struggle?
  • Reflecting on the mathematics being taught:
    • What are the mathematical ideas in this lesson and how significant are they?
    • How are contexts, representations, connections and applications used to enhance the mathematics being taught?

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