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Maths: Reasoning & Problem Solving(F-12) (EDUC90866)

Graduate courseworkPoints: 12.5Not available in 2018

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Overview

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This subject explores the pedagogical content knowledge for developing students’ reasoning and problem solving across Foundation to Year 12 mathematics. Participants will study research on issues associated with the teaching and learning of reasoning and problem solving. They will also consider pedagogical issues such as teacher questioning, selection of good examples and explanations, effective use of resources (e.g. technology and models) and the role of formative assessment. Participants will consider approaches for fostering students’ positive disposition towards reasoning, problem solving, and mathematics more generally. Links will be made between classroom practice and research into the teaching and learning of mathematics.

Intended learning outcomes

At the completion of this subject, students should be able to



  • Identify pedagogical issues related to developing students’ reasoning and problem solving,
  • Understand how problem solving and reasoning may be developed across Foundation to Year 12 mathematics,
  • Critique Foundation to Year 12 mathematics teaching resources in the light of research evidence,
  • Identify conceptual hurdles in reasoning and problem solving, and the importance of formative assessment for diagnosing students’ understanding and skills in order to inform teaching,
  • Design teaching to promote deep mathematical understanding and challenge all students,
  • Choose and use technology appropriately and efficiently in mathematics teaching,
  • Promote students’ use of correct verbal and written mathematics,
  • Appreciate the importance of students possessing a positive disposition towards learning and using mathematics.

Generic skills

Graduates should develop the following generic skills:

  • Be flexible and able to adapt to change through knowing how to learn
  • Understand the significance of developing their practice on the basis of research evidence
  • Be skilled communicators who can effectively articulate and justify their practices as knowledgeable agents of change
  • Work in teams with skills in cooperation, communication and negotiation

Last updated: 3 November 2022