Available in 2022
Course code



10 units


6000 level

Course handbook


This course introduces students to the key concepts underlying a deep understanding of number, arrangements, number distribution and combinatorics. This course will consider the historical development of number and will examine current related pedagogical models within the field of secondary mathematics, including assessment policy and structure.



  • Semester 1 - 2022

Learning outcomes

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

1. understand the key concepts related to number theory, combinatorics, binomial theory and difference equations;

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. apply a range of strategies for assessing students learning.


  • basic number theory including modular arithmetic
  • Permutations and Combinations theory (combinatorics) and applications to probability and games of chance
  • Binomial distribution and its relationship to algebraic expansion and probability
  • Difference equations and applications to fibonnaci numbers and linear algebra
  • teaching strategies related to mathematical content
  • common misconceptions related to the mathematical content
  • Assessment requirements of the Board of Studies NSW

Assessment items

In Term Test: Mathematics Content Examination

Written Assignment: Content Assignment (in five parts)

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.