Research-grounded, interactive articles on how mathematics is learned, taught and examined — for parents, students, teachers and tutors. Search by keyword or browse by category below.
Many children cruise through maths until fractions — then fall off a cliff. Why fractions break the whole-number rules, and why a gap here quietly threatens later algebra.
Arithmetic-strong children often stall at algebra. The equals-sign misconception, the meaning of letters, and the leap from calculating to reasoning — and how to bridge it.
The "dyslexia of maths" is real, specific and under-recognised. A careful, responsible guide to what dyscalculia is, how it differs from anxiety or gaps, and how to help.
A surprising amount of later maths is decided before school starts. Why early number sense predicts achievement for years — and how everyday play and talk build it.
If AI can solve any problem, what is maths education for? An even-handed look at the big debates — and the durable, evidence-based fundamentals that won't change.
The same device can tutor your child and wreck their focus. What the evidence says about apps, intelligent tutoring, distraction and AI — and how to tell helpful from harmful.
Some students know the maths and fall apart in the exam. Why test anxiety is real, measurable and treatable — with the research and what actually helps before the big paper.
Maths feels like pure mind, but it runs on a body. How sleep consolidates the day's learning, how stress corrodes it, and why the all-nighter is one of the worst revision strategies.
Paying for grades works for a week, then backfires. The research on intrinsic vs extrinsic motivation, the overjustification effect, and how to build motivation that lasts.
Does tutoring really work, how much, and why? An honest, evidence-based look at the real numbers — and what separates effective tutoring from expensive homework help.
Two study habits beat almost everything else for making maths stick — and feel harder than the methods that don't work. The evidence, and how to use both.
For a beginner, studying a solved example can teach more than struggling alone — until they improve, when the same help holds them back. Getting the timing right.
Feedback is one of the most powerful influences on learning — yet over a third of it makes performance worse. What separates the kind that transforms from the kind that harms.
Counters, blocks and bar models are loved and misused in equal measure. The evidence on physical and visual maths — when it helps, when it distracts, and how to use it well.
Little benefit in primary, modest in secondary, and it all depends on the type. The research that should change how families handle the nightly homework battle.
Most "falling behind" in maths is a timing mismatch, not low ability. The research on mastery — and how to find and fix the foundation the timetable raced past.
Many children who can calculate freeze on worded questions. Why the bottleneck is comprehension, not arithmetic — and the read-it, draw-it, solve-it fix.
Long before school, children absorb a maths atmosphere at home. What the research says really matters — number talk and feelings, not your own maths skill.
Girls and boys perform about equally — so why do fewer girls pursue maths? An even-handed look at the confidence gap and the stereotypes children absorb early.
In much of the West, maths is taught as a smooth performance where errors feel shameful. Why struggle and mistakes are where deep learning actually happens.
It's measurable, it transmits from parent to child, and it's reversible. What three decades of cognitive science say, in plain English — with a self-diagnostic.
Cognitive overload looks exactly like "not getting it" — but it isn't. The mental workspace explained, and how to stop overwhelming it.
Small gaps in the basics quietly sabotage advanced maths. The research on fluency, spacing and retrieval — and how to build it without fear.
The "maths person" myth, the growth-mindset debate done fairly, and what actually rebuilds a child's belief that they can do this.
Memorised rules work until they don't. Why rote knowledge is brittle, how meaning and fluency grow together, and how to teach for both.
Six strands, every year level Foundation–10 in an interactive explorer, and the honest AC v9 / NSW / Victoria comparison.
The gap is behavioural, not mathematical: solution-writing discipline, error logs, interleaved papers, examiner reports. With a habit audit.
The jump is three separate gaps — content, fluency, problem-solving — closed in order, term by term. With a starting-point audit.
Why 25-minute slices truncate exactly the thinking maths requires — and the depth-first protocol to run instead, with a two-week self-experiment.
The grade-killers examiners see every year, an interactive diagnostic, and the two-week remediation plan that targets causes, not symptoms.
Above 700 the SAT becomes an error-management test. The eight archetypes, the Desmos decision rule, and a six-week break-out plan.
Half the marks are decided on topic-selection day. The five-question filter, the criteria A–E decoded, and twelve seeds that pass.
Six dos, three stops, word-for-word scripts, and the research on how maths anxiety transmits at the kitchen table. With a scenario quiz.
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