Heuristics are problem-solving strategies rather than formulas. The skill at PSLE is recognising which strategy suits a problem, not memorising a list of them.
Why heuristics are taught at all
A heuristic is a way in when the route is not obvious. Working backwards, guess and check, drawing a diagram, looking for a pattern, simplifying the problem — each is a way of making an unfamiliar question tractable.
They matter because the PSLE deliberately sets problems students have not seen in that exact form. Recall alone will not answer them.
The heuristics worth being fluent in by Primary 6:
- Drawing a diagram or model
- Working backwards from the end state
- Guess and check, narrowed systematically
- Looking for a pattern
- Simplifying the problem or trying a smaller case
- Making a systematic list
The recognition problem
Most students can execute a heuristic once told which to use. Choosing it unprompted is the harder skill, and it is what the exam actually tests.
That choice improves with exposure to varied problems, not with practising each heuristic in isolation. A worksheet of guess-and-check questions teaches execution and removes the decision.
Matching strategy to problem
Working backwards suits problems that describe a sequence of changes ending in a known result. Guess and check suits problems with a small range of plausible answers and a clear test.
Drawing suits anything involving comparison or arrangement. Looking for a pattern suits sequences and repeated structures. Simplifying suits problems whose numbers are intimidating but whose structure is simple.
Building the judgement
Ask what kind of problem this is before asking how to solve it. Naming the type is the step most students skip.
When a student is stuck, resist naming the heuristic. Ask instead what they know and what they want — the strategy usually presents itself, and the child gets the credit for finding it.
What lessons at Odyssey are actually like
Our students describe the teaching in their own words. This one is a secondary student — the approach is the same one your child would meet in a primary class, taught at the right level. More are on Odyssey Math TV.
Where Odyssey fits
We teach heuristics through mixed problems rather than in isolated sets, because the decision of which to use is the part that is actually examined.
We teach maths only, in small classes at Hexacube, 160 Changi Road #01-02, about three minutes from Eunos MRT. See the primary and secondary programmes, our MOE-aligned curriculum, schedules and fees, or the tutors who teach. Free video solutions to past-year papers are on Odyssey Math TV.
Topics in primary mathematics are cumulative, which is the argument for treating the six years as a single programme rather than a series of annual courses. Our MOE-aligned curriculum does exactly that, from Primary 1 to Primary 6, so nothing has to be guessed about what a child was or was not taught before they arrived.
If this topic is the one causing trouble at home, a free trial class is the quickest way to find out why. An hour with a tutor who has taught the whole primary syllabus usually locates the cause faster than weeks of extra worksheets. No obligation either way — book a trial or WhatsApp +65 8512 6882.
What we describe here comes from teaching this syllabus in our own classes since 2012. It is not a forecast for any individual child: progress is produced jointly, by a student willing to do the work with support at home. We do not promise grades. Topics follow the MOE primary mathematics syllabus — check the current syllabus on the MOE website for the definitive version, and see our curriculum page for how we teach it.
Frequently asked questions
How many heuristics does my child need?
Fluency in a handful matters more than familiarity with many. Six well-understood strategies cover most PSLE problems.
Is guess and check acceptable in the exam?
Yes, provided the working is shown and the checking is systematic. It is a legitimate method, not a last resort.
Why can my child do heuristics on worksheets but not in exams?
Because the worksheet names the strategy and the exam does not. Practise with mixed problems where the choice is left to the student.
Should I tell my child which method to use when they are stuck?
Ask what they know and what they need instead. Being told the method removes exactly the skill the question was testing.
