A structured way to unpack a word problem, using a simple visual model to make the hidden structure visible before any calculating starts.
25 August 2026 · 5 min read
The single biggest improvement most children can make on word problems isn't more practice with more problems — it's a reliable process for turning the words into a picture of the situation before reaching for a calculation. Here's a version that works for a wide range of problems.
Before touching any numbers, read the whole problem once just to understand the situation — who or what is involved, and roughly what's happening. Rushing straight to the numbers is exactly what leads to the keyword-spotting trap described in why word problems are difficult for some children.
Read it a second time, this time pulling out the actual numbers and, separately, exactly what the question is asking for. Writing these down explicitly — even for a problem that seems simple — builds a habit that pays off enormously once problems get more complex.
This is the step that makes the biggest difference for most children. Take: "Emma has 3 times as many stickers as Jack. Together they have 24 stickers. How many does each of them have?" Drawn as a bar model, Jack's amount is one block, and Emma's is three identical blocks the same size as Jack's — four equal blocks in total, representing the 24 stickers between them.
Suddenly the problem isn't abstract anymore: 24 shared across 4 equal blocks means each block is 6. Jack has one block, so Jack has 6. Emma has three blocks, so Emma has 18. Checking: 6 + 18 = 24, and 18 is indeed 3 times 6 — the answer fits both conditions in the original problem.
Once a problem is represented as a diagram, the calculation almost falls out on its own — the hard part was working out the structure, not doing the arithmetic. A child who skips straight to guessing an operation from keywords never builds this structure at all, and ends up trying to calculate their way to an answer without a clear picture of what the numbers actually represent.
Only once the structure is clear does the actual calculation happen — and by this point it's usually the easiest part of the whole process, because the hard thinking has already been done.
Before accepting an answer as final, go back to the original words and check it makes sense — does it answer the actual question asked, and are the numbers reasonable given the situation? A final answer of "Emma has 18 stickers, more than the 24 they have altogether" would obviously be wrong, and this check is what catches a slip before it's written down as the finished answer.
Read for the story. Identify what's known and what's asked. Represent it visually. Calculate. Check it against the original problem. It's a slower process than jumping straight to a calculation, but it's dramatically more reliable — and the visual representation step is the one habit worth building above all the others.
Grasp Maths breaks worded problems into exactly these stages, offering scaffolding at the representation step specifically when a child is stuck — because that's usually where the real difficulty lies, not in the final calculation.
Try a free Grasp Maths practice session and see how word problems get broken into manageable steps.