Understanding an explanation and generating a solution are different skills. The gap is normal, and it closes through attempting problems unaided rather than through further explanation.
Why this is so common
Following a worked example is a recognition task. Solving a fresh problem is a generation task. The second is considerably harder, and time spent on the first does not build it.
Students are not being dishonest when they say they understood. They did — that is exactly the problem.
The wrong response
Explaining again. If the explanation was understood the first time, a second one adds nothing and confirms to the student that they are incapable.
More worked examples, for the same reason. They build recognition, which is already present.
What actually closes the gap
Attempting problems unaided, including failing at them. The struggle is not a side effect of learning here; it is the mechanism.
Starting with problems just beyond what has been mastered, rather than at full difficulty. The aim is genuine effort with a realistic chance of success.
Waiting a day after an explanation before attempting. Immediately afterwards, the student is recalling rather than generating.
A sequence that closes the gap:
- Explanation, once
- One guided example with the student holding the pencil
- A day’s gap
- Unaided attempt at a similar problem
- Only then, if needed, a further explanation aimed at the specific sticking point
What to say to a discouraged student
That this gap is normal and expected, not evidence of being bad at the subject. Most students believe the reverse, and the belief does real damage.
And that the discomfort of attempting something unaided is what the learning feels like from the inside — which is worth saying explicitly, because it does not feel like progress at the time.
What lessons at Odyssey are actually like
A student describes the experience in her own words. She is in secondary school, and the teaching she describes is what we do at primary level too. More are on Odyssey Math TV.
Where Odyssey fits
Our lessons work problems with students rather than for them, because the attempt is the part that transfers.
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.
Mathematics at primary level does not reset each year, so neither does our teaching. The same MOE-aligned curriculum runs from Primary 1 to Primary 6, which means we can tell the difference between a child who has not met an idea and one who met it and never secured it. Those two situations look identical on a worksheet and need completely different responses.
The trial lesson is free and diagnostic. You will leave knowing what we think the cause of the difficulty is and what we would do about it, whether or not you go on to enrol. That seems a fairer basis for a decision than a brochure. Arrange one 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
My child understands in class but cannot do homework. Why?
Because following an explanation and producing a solution are different skills. The second only develops through unaided attempts.
Should I explain it again?
Usually not. If the explanation was understood, repeating it adds little. What is needed is an attempt.
How long should a student struggle?
Long enough to engage genuinely, not long enough to become distressed. A few minutes of real effort is the useful window.
Is this gap a sign of a learning difficulty?
Rarely. It is the normal shape of learning mathematics, and it closes with the right kind of practice.
