Your child follows a worked Math solution and says, “That makes sense.” The next question arrives, and they are unsure how to begin. You can use the example again without turning the session into copying every line.
Try a small sequence: read one solution carefully, cover its working, then attempt a related question. Keep track of any help needed. This gives you something specific to discuss beyond whether the final answer is right.
What the research supports, and what this activity adds
The US Institute of Education Sciences practice guide on organising instruction and study recommends alternating worked solutions with problems students try themselves. It rates that recommendation as supported by moderate evidence. The guide also recommends questions that ask students to explain their reasoning.
The routine below is our own suggested way to use those ideas at home, not an official examination method or a promise of better marks. Start with a method your child has already been taught. A worked example from their teacher or textbook can provide a reliable reference when you are unsure how to explain a step.
1. Read the working with a job to do
In this invented practice question, six identical notebooks cost $15. What do ten notebooks cost? Assume each notebook has the same price, with no bundle discounts. All prices are in Singapore dollars; these are not real offers or examination questions.
| Working | What the line means |
|---|---|
| $15 ÷ 6 = $2.50 | Find the price of one notebook. |
| $2.50 × 10 = $25 | Find the price of ten notebooks. |
Ask your child to point to what each number represents. “Why divide by six?” has a useful answer: the $15 is the total for six equally priced notebooks, so dividing finds the price of one. “Why multiply by ten?” refers to the number the question asks about.
They can say this aloud or write a short note beside the line. The purpose is to connect the calculation to the question. If your child uses a different valid approach, compare what the steps mean rather than insisting that their working look identical.
2. Cover the solution and try a related question
Leave the new question visible, but cover the worked solution above. Give your child room to make a first attempt before offering a step.
Your turn: Four identical notebooks cost $14. What do seven notebooks cost? Each notebook has the same price, with no bundle discounts.
Write the working and label what the first answer represents.
The numbers have changed, including the price of one notebook. Copying $2.50 from the earlier example would not fit this question. Your child needs to use the new relationship: four notebooks cost $14.
Open the worked answer
One notebook costs $14 ÷ 4 = $3.50. Seven notebooks cost $3.50 × 7 = $24.50.
A check on the first step is $3.50 × 4 = $14, which returns the given total. The final answer is a cost, so it needs the dollar sign.
3. Reopen the example at the point of difficulty
If your child is stuck, ask, “What does the question give us, and what do we need to find?” If that does not help, uncover the first line of the example and discuss what it finds. Then return to the new question.
Looking back is allowed during learning. Record that help rather than treating the finished answer as an independent attempt. If the division itself is unfamiliar, pause this activity and return to the relevant lesson notes or ask the teacher. Repeating a step your child cannot yet explain will not tell you which prerequisite needs attention.
Keep any first attempt visible when checking. A line such as $14 × 7 shows a different difficulty from correctly finding $3.50 but making an error in the final multiplication. The next explanation should address the actual line, not restart every part automatically.
4. Change what the next question asks for
Once the related question is manageable, try a different target. In another invented situation, three identical notebooks cost $12. Each notebook has the same price, with no bundle discounts. How many notebooks can be bought with $20?
Ask your child to name the required answer before calculating. This time it is a number of notebooks, not a cost. The first step still finds a unit price, but the next operation must fit the new question.
Open the answer to the changed question
One notebook costs $12 ÷ 3 = $4. The number that $20 buys is $20 ÷ $4 = 5 notebooks.
Check: five notebooks at $4 each cost $20. Multiplying $4 by 20 would answer a different question: the cost of twenty notebooks.
Keep a brief record of the help, then choose a next step
A note can be as simple as “found the price of one independently; needed a reminder to read how many notebooks were asked for”. You do not need a score for every attempt.
- Independent working and a clear explanation: revisit a related question in a later study session.
- Correct with the example open: try another suitable question with it covered, and note whether help is still needed.
- The same step remains unclear: take the attempted working and one specific question to the teacher.
One successful question is useful evidence about that attempt, not proof that an entire topic is secure. Use the record to decide what to practise next. For more on helping without taking over, read Math Homework: Help With One Hint at a Time. Our guide to talking to the teacher with one clear example can help when a difficulty persists.
If you are considering additional support, browse Genie's Math programmes and choose the level relevant to your child.
Source note: Reviewed on 26 October 2026. The IES guide, released in 2007, informs the general recommendation. The routine, questions and parent prompts are our own examples and suggestions. They do not describe a particular Singapore syllabus or an examination marking rule.