ETM709 - Knowledge for Teaching Mathematics 7-10: Number


2024 unit information

Enrolment modes:

Trimester 2: 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.

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.

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 semester.

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

This includes 4-days of intensive face-to-face classes.


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

Fees and charges vary depending on the type of fee place you hold, your course, your commencement year, the units you choose to study and their study discipline, and your study load.

Tuition fees increase at the beginning of each calendar year and all fees quoted are in Australian dollars ($AUD). Tuition fees do not include textbooks, computer equipment or software, other equipment or costs such as mandatory checks, travel and stationery.

Use the Fee estimator to see course and unit fees applicable to your course and type of place.

For further information regarding tuition fees, other fees and charges, invoice due dates, withdrawal dates, payment methods visit our Current Students website.