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# Mathematics: Problem Solving & Reasoning (EDUC90618)

Graduate courseworkPoints: 12.5Not available in 2017

## Overview

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This subject will focus on research and issues related to the teaching and learning of mathematics in primary and secondary classrooms through the use of problem solving and reasoning. Problem solving is seen as an approach to teaching mathematics, a way of doing mathematics and mathematical content in its own right. Problem solving and reasoning focus particularly on questions related to how we think mathematically and learn more deeply in a mathematical environment that emphasises big ideas in mathematics teaching. Topics include: trends in reasoning and problem solving research; attitudes to and conceptions of problem solving and reasoning; problem solving, reasoning and working mathematically; interdisciplinarity; assessment; developing challenging tasks to increase cognitive demand; managing the problem solving/reasoning classroom; teaching students to address a challenge; raising the level of mathematical competence required for informed citizenship and lifelong learning; increasing students’ confidence in using mathematics to solve problems; the role of technology in facilitating reasoning and problem solving.

## Intended learning outcomes

On completion of the subject students will be able to:

- Clearly Identify what defines the proficiency strands “Problem Solving” and “Reasoning” of the Australian National Curriculum;
- Devise teaching strategies that implement problem solving and reasoning in the classroom;
- Identify and demonstrate a sound understanding of educational research and practice in the area of teaching and learning mathematics through problem solving and reasoning in schools;
- Demonstrate confidence in using mathematics to solve problems.

## Generic skills

Students completing this subject should be able to:

- Demonstrate a superior knowledge and understanding of educational theory and practice in general and in the area of teaching and learning mathematics through problem solving and reasoning in particular;
- Express informed opinions on these issues;
- Have an understanding of the theory and practice of educational research needed to evaluate research literature and carry out appropriate research activity in this area;
- Make effective use of the findings of educational writings and research in addressing professional problems;
- Have the depth of knowledge and understanding that will enable them to be a resource for colleagues in particular professional situations;
- Demonstrate an appreciation of professional responsibilities and ethical principles which should characterise leaders in the education profession.

Last updated: 10 February 2024