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Maths: Reasoning & Problem Solving(F-12) (EDUC90866)
Graduate courseworkPoints: 12.5Not available in 2018
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
Eligibility and requirements
Prerequisites
To enrol in this subject, you must be admitted in Professional Certificate in Mathematics Education. This subject is not available for students admitted in any other courses.
Corequisites
None
Non-allowed subjects
None
Recommended background knowledge
Qualified primary or secondary teacher
Inherent requirements (core participation requirements)
The University of Melbourne is committed to providing students with reasonable adjustments to assessment and participation under the Disability Standards for Education (2005), and the Assessment and Results Policy (MPF1326). Students are expected to meet the core participation requirements for their course. These can be viewed under Entry and Participation Requirements for the course outlines in the Handbook.
Further details on how to seek academic adjustments can be found on the Student Equity and Disability Support website: http://services.unimelb.edu.au/student-equity/home
Last updated: 3 November 2022
Assessment
Additional details
- 2,500 word report related to a given issue associated with the teaching and learning of reasoning and problem solving, due mid teaching period, (50%)
- 2,500 word report on teaching approaches to promote students’ reasoning and problem solving, due at the end of the teaching period, (50%)
Hurdle requirements: Participation in intensives, completion of all online tasks - including contribution to wikis, online discussion forums.
Last updated: 3 November 2022
Dates & times
Not available in 2018
Time commitment details
170 hours per 12.5 credit point subject
Last updated: 3 November 2022
Further information
- Texts
Prescribed texts
Nil
- Related Handbook entries
This subject contributes to the following:
- Links to additional information
Last updated: 3 November 2022