Learning at home
How to spot learning gaps in maths before they grow
Most maths trouble is an old gap showing up in a new chapter. Here are the signs to watch for at home, simple checks you can run, and what to do next.
By the Qlive team. . 6 min read.
Maths is built in layers. Each new topic leans on the ones before it, so when a child struggles with algebra in Grade 8, the real problem is often something from Grade 4 or 5 that never quite settled. Teachers call this a learning gap. The good news is that gaps are specific. Once you know which skill is missing, it can be taught again, usually faster than you expect. This guide is about finding that skill.
Why gaps hide for so long
A child can do well in maths for years while carrying a gap. There are a few reasons for this:
- Memorised methods cover for missing understanding. A child who learnt “cross multiply” without knowing why can solve standard fraction questions but falls apart when the question is worded differently.
- School tests are chapter by chapter. A test on decimals only checks decimals. It does not show that the child still counts on fingers to add 8 and 7.
- Children are good at copying. In a busy classroom, a quiet child can follow the steps on the board and get the answers right without ever doing the thinking alone.
- Marks stay acceptable. A score of 70 percent can hide a missing topic entirely if that topic made up 30 percent of the paper.
So by the time a parent notices, the marks have usually dropped in a new chapter, and the new chapter gets the blame.
Warning signs to watch for at home
You do not need to be good at maths to notice these. You only need to sit beside your child for twenty minutes while they do homework.
Signs in how they work
- Counting on fingers for basic addition after Grade 3
- Taking a long time over multiplication facts, or skipping counting (“7, 14, 21…”) to reach them
- Getting the right answer by a long, roundabout method when a shorter one exists
- Freezing when a question is worded in a new way, even if the maths is the same
- Erasing a lot, or writing an answer and then asking “is this right?” every time
Signs in what they say
- “I’m just bad at maths.”
- “The teacher went too fast.”
- “I understood it in class but I can’t do it now.”
- “Can you just tell me the formula?”
Signs in marks and homework
- Marks that drop sharply at a particular chapter and do not recover
- Careless mistakes that keep repeating in the same place, such as signs or decimal points
- Homework that takes much longer than it should
- Word problems consistently weaker than plain calculation
One sign on its own means little. Three or four together, over a few weeks, is worth looking into.
The common gaps and where they show up later
This table shows some of the most common gaps and the later topics they tend to affect.
| Gap from the earlier years | Where it usually shows up later |
|---|---|
| Place value (tens, hundreds, decimals) | Decimal operations, rounding, standard form |
| Times tables and division facts | Fractions, factors, ratio, algebraic simplification |
| Meaning of fractions | Ratio and proportion, percentages, probability |
| Negative numbers | Integers, algebra, coordinate geometry |
| Reading a word problem | Almost everything from Grade 5 onwards |
| Basic algebra (using letters for numbers) | Linear equations, quadratics, physics formulas |
If your child is struggling with something in the right-hand column, check the matching skill on the left first.
Simple checks you can do at home
These take ten to fifteen minutes each. Keep the tone light. Tell your child you are not testing them, you are trying to find out what kind of help would be useful.
Check 1: Number facts
Ask ten quick multiplication questions out loud, mixed, without paper. A child in Grade 5 or above should answer most within a few seconds. Slow or uncertain answers on 6, 7, 8 and 9 times tables are a very common gap.
Check 2: Fractions sense
Ask questions that need understanding, not a method:
- Which is bigger, 3/4 or 2/3? How do you know?
- Draw a picture that shows 2/5.
- Is 5/4 more or less than 1?
If your child can only answer by converting to decimals with a calculator, or cannot explain, fractions need work.
Check 3: Go one or two grades back
Take a textbook or worksheet from one or two grades below your child’s current grade. Pick a chapter related to what they are finding hard now. Ask them to do five questions while you watch. Notice where they slow down or stop. That is usually your gap.
Check 4: Explain it to me
Ask your child to teach you how to solve one problem from their current homework. Children who understand can explain why each step happens. Children with a gap can usually only say what to do next.
What to do once you have found a gap
Talk to the school teacher
Share what you noticed. Be specific: “She is fine with the steps for fractions but cannot tell me which of two fractions is bigger.” Teachers can often suggest a worksheet or point you to the right earlier chapter.
Go back, but not all the way
You do not need to redo whole years. Focus on the one skill that is missing. Ten to fifteen minutes a day on that skill, for three or four weeks, is often enough to make a visible difference.
Use concrete materials
For younger children, use coins, blocks, measuring cups or a pizza cut into slices. Fractions and place value make more sense when a child can hold them. Older children benefit from drawing: number lines, bar models and diagrams.
Keep up with current school work
Do not stop the current chapter while you fix the base. A sample weekly split might look like this:
| Day | 20 to 30 minutes of maths at home |
|---|---|
| Monday | School homework |
| Tuesday | 15 minutes on the gap skill, then homework |
| Wednesday | School homework |
| Thursday | 15 minutes on the gap skill, then homework |
| Weekend (one day) | Short mixed practice: gap skill plus last week’s school topic |
Watch the language at home
If a parent says “I was also bad at maths”, a child hears permission to give up. Try “this part is new for you, so it feels hard” instead. Praise the effort and the method, not only the final answer.
When to get outside help
Home checks give you a first picture, but they have limits. It is worth getting a proper assessment or a tutor if:
- You cannot work out where the gap starts
- Your child gets upset or shuts down when you try to help at home
- Several gaps seem to be stacked on top of each other
- A board exam year is coming and there is not much time
- You have tried for a month and nothing has changed
A good tutor will not start by teaching the current chapter. They will first find out what your child can and cannot do, then plan from there. Our guide on what a diagnostic assessment tells you explains how this works, and supporting a child who has fallen behind covers what to do when the gaps are larger.
Finding gaps with Qlive
At Qlive, every maths student starts with a free personalised assessment. It is adaptive, so the questions get easier or harder depending on how your child answers, and it goes deeper on weak areas to find the exact topic where understanding breaks. You get a report showing what your child is strong at, what they are working on, and the specific gaps, whether or not you go on to book classes. You can read more about how we teach the subject on our maths page.