High School Mathematics Lecturer

Algebra.com.au helps NSW's most ambitious high school students turn strong HSC mathematics results into exceptional ones — moving students from a 60–70% baseline to 95% and beyond in Advanced, Extension I and Extension II Mathematics.

We do this by removing every administrative burden from our lecturers so they can focus on one thing: the craft of teaching. Lessons are framework-based, mapped into full difficulty arcs from first principles to the hardest questions a paper can ask, and delivered live to auditoriums of 20–60 students, filmed and streamed.

We're growing and looking for a full-time High School Mathematics Lecturer to join our team.

Role Summary:

In this role, you will own multiple teaching streams across Stage 5.3 and Stage 6, Advanced, Extension I and/or Extension II; guiding the same cohort of students through a full 12-month arc across every major topic in the syllabus, live, recorded, in front of rooms of up to 60 students.

You’ll work closely with our Head of Education as an editorial partner on lesson structure, pacing and delivery, with a single shared objective. Taking students who are already good/above average at mathematics and making them exceptional at it.

Key Responsibilities

In your first 90 days, you will:

Design and deliver lectures across probability, algebra, geometry, calculus, trigonometry, complex numbers, vectors, mechanics and statistical reasoning.

Take ownership of one or more streams in Stage 5.3 and/or Stage 6, across Advanced, Extension I and/or Extension II.

Build lessons around deliberately provocative questions: a proof that seems too good to be true, or a result that looks wrong until it isn't. We want you to make difficult ideas approachable.

Read a room of 20–60 students in real time and adjust pacing, energy and delivery accordingly.

Partner with our Head of Education to refine lesson structure ahead of each live stream.

Ongoing Responsibilities:

Guide a consistent group of students through a 12-month teaching phase across the full syllabus.

Extend teaching beyond strict syllabus boundaries whenever it builds deeper intuition or unlocks higher-order questions.

Continuously sharpen your explanations of the hardest concepts, so what was once difficult becomes obviously approachable.

Requirements (Must-Have):

Demonstrated experience teaching Stage 5.3, Advanced, Extension I and/or Extension II Mathematics.

University-level study in at least one of: differential equations, real or complex analysis, group theory, abstract algebra, set theory and logic, metric spaces, or vector calculus.

A track record of students actively seeking out your classes as evidenced through results, testimonials or retention

Genuine command of mathematics as a subject in its own right, beyond its use for passing exams.

Fluent, precise command of the English language, with the ability to hold an audience for 180 minutes unscripted.

Nice-to-Haves (Preferred):

Broad intellectual curiosities outside mathematics — philosophy, history, economics, engineering, Olympiad mathematics, or similar.

Comfort performing in front of a live, filmed audience (theatre, public speaking, or similar background).

Elementary ability to write mathematics in LaTeX.

What Success Looks Like In this role:

High satisfaction ratings from your student cohort across each teaching term.

Students visibly shifting from pattern-matching remembered methods to independently reasoning through unfamiliar questions.

Measurable movement of your students from a 60–70% baseline toward 95%+ in HSC results over a 12-month cycle.

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