ETM712 - Knowledge for Teaching Mathematics 7-10: Algebraic Thinking and Function


2024 unit information

Enrolment modes:

Trimester 1: Online with intensive seminars

Credit point(s): 1
EFTSL value: 0.125
Cohort rule: This unit is only available to students enrolled in E515, E763, E765


Corequisite: Nil
Incompatible with: Nil
Study commitment

Students will on average spend 150-hours over the trimester undertaking the teaching, learning and assessment activities for this unit.

This will include educator guided online learning activities within the unit site.

Scheduled learning activities - online

3 x 2-hour online seminars are scheduled during the trimester. 

Students are also expected to engage in at least 6 hours of independent study per week, including engaging with unit content, readings, online discussion and assessments across the trimester.

In-person attendance requirements

4-days of intensive face-to-face lectures throughout the trimester


This unit is one of four units intended for out-of-field teachers in mathematics who are teaching in the years 7-10.


This unit comprises one of four units in the Graduate Certificate of Secondary Mathematics. This unit simultaneously focuses on mathematical content for the learning of Algebraic Thinking and Function in years 7-10 and contemporary teaching and learning approaches that increase Year 7-10 students’ opportunities to learn mathematics. It is informed by relevant research findings and guided by the Victorian Curriculum: Mathematics. Teaching in Years 7-10 necessitates a deep conceptual understanding of the mathematics underpinning Year 7-10 mathematics, the Year 7-10 mathematics content itself, and essential and relevant content beyond Year 7-10. Big ideas that will be included in the focus of this unit include: Equivalence, operations and relationships, properties, patterns, variables, relations & functions, equations and inequalities, transformations, change, and rates of change.

This unit reflects current mathematical pedagogies, such as inquiry-based learning, with a particular emphasis on problem solving, mathematical modelling and investigation. Approaches include the effective use of multiple representations, digital technologies (including handheld technologies) and manipulatives. Forms of reasoning and argumentation, including the use of visual representations, in relation to algebraic thinking in Years 7-10, particularly as related to generalisation are highlighted.

Contemporary ways of teaching and learning Algebraic Thinking and Function will be explored in this unit, with opportunities to develop understanding of school mathematical knowledge, potential difficulties, common mis- and partial conceptions of the relevant content, assessment and the provision of learning activities to maximise learning opportunities.

Unit Fee Information

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