ETM709 - Knowledge for Teaching Mathematics 7-10: Number


2021 unit information

Enrolment modes:

Trimester 1: Cloud (online) with intensive seminars

Credit point(s): 1
EFTSL value: 0.125
Cohort rule:

Students must be enrolled in course E515



Corequisite: Nil
Incompatible with:

ESM724, ESM725

Study commitment

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

As students in the Faculty of Arts and Education, they are expected to participate in a range of teaching activities each week. This could include classes, seminars, and online interaction. Refer to the individual unit details in the course structure for more information. They will also need to study and complete assessment tasks in your own time.

Scheduled learning activities - cloud (online)

Time engaging in learning activities is expected to total a combined equivalent of 8-10 hours per week

This includes engagement with materials, responses to tasks, independent study and
5 x 6-hours of intensive seminar across 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 Number 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: Numbers (Rational and irrational), Base 10 Numeration, Equivalence, Operations & relationships, Properties, Basic facts & Algorithms, Estimation, Proportionality, Equations & Inequalities, and Proof.

This unit reflects current mathematical pedagogies, such as inquiry-based learning, with a particular emphasis on problem finding, problem posing, and problem solving as well as investigative approaches. Approaches include the effective use of multiple representations, digital technologies (including hand-held technologies) and manipulatives. Alternative forms of argumentation, reasoning, and proof, including visual proofs, are emphasised.

Contemporary ways of teaching and learning Number 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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