Available in 2022
Course code



10 units


6000 level

Course handbook


This course introduces students to the key concepts underlying a deep understanding of mathematical proof and topology. This course will consider the historical development of mathematical proof and topology and will examine current related pedagogical models within the field of secondary mathematics including catering for differentiated learning needs in the contemporary classroom.



  • Semester 1 - 2022

Learning outcomes

On successful completion of the course students will be able to:

1. understand the key concepts related to various forms of mathematical proof and the field of topology;

2. appreciate the mathematical knowledge and beliefs that learners bring to a learning task;

3. apply a range of strategies for teaching secondary mathematics;

4. recognise the common misconceptions that students may have in regard to the mathematical content covered; and

5. recognise the benefits and issues associated with differentiated learning.


  • The historical development of mathematical proof and its relationship to other forms of proof commonly accepted in contemporary society
  • Forms of mathematical proof including geometric, inductive, deductive, contradiction, reductio ad absurdum and non-euclidean geometric
  • Introduction to topology
  • teaching strategies related to mathematical content
  • common misconceptions related to the mathematical content

Differentiated learning in the contemporary classroom

Assessment items

In Term Test: Mathematics Content Examinations (Part A and Part B)

Written Assignment: Mathematics Content Assignment

Online Learning Activity: Online Discussion Task

Contact hours



Online 2 hour(s) per Week for Full Term

The University of Newcastle acknowledges the traditional custodians of the lands within our footprint areas: Awabakal, Darkinjung, Biripai, Worimi, Wonnarua, and Eora Nations. We also pay respect to the wisdom of our Elders past and present.