Available in 2022
Course code



10 units


6000 level

Course handbook


This course introduces students to the key concepts underlying a deep understanding of algebra, functions, continuity and an introduction to calculus. This course will consider the historical development of calculus and will examine current related pedagogical models within the field of secondary mathematics.



  • Semester 1 - 2022
  • Semester 2 - 2022

Learning outcomes

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

1. understand the key concepts related to fundamental algebra, functions, continuity and calculus;

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

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

4. recognise the common misconceptions that students may have about the mathematical content covered.


  • basic algebra: simplification, factorisation, modelling, solving equations
  • functions: definitions, graphing, continuity, limits
  • types of functions: linear, polynomial, logarithmic, exponential
  • rates of change: applications to graphing, definitions, symbolic representations
  • calculus: first principles, derivatives, integration, applications
  • teaching strategies related to mathematical content
  • common misconceptions related to the mathematical content

Assessment items

In Term Test: In term test

Written Assignment: Essays/Written Assignments

Participation: Group/tutorial participation and contribution

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.