Problem-solving is a learnable process, not a fixed talent some children have and others don't. Here's a framework that works across almost any problem.
25 August 2026 · 5 min read
"Problem-solving" sometimes gets treated as a mysterious extra ingredient — either a child has it or doesn't. In practice, it's closer to a repeatable process that can be taught and practised, distinct from both calculation fluency and word-problem translation specifically. Here's a simple four-stage version that applies broadly.
Before anything else: what's actually being asked, and what information is available to work with? This sounds obvious, but rushing past it is the single most common reason a solution attempt goes wrong — solving a problem that's close to, but not quite, the one that was actually asked.
Rather than diving straight into calculation, it helps to pause and consider: has something like this been solved before? Is there a way to represent the problem visually? Could it help to try a smaller, simpler version first, or work backwards from the answer? A garden that's 8 metres by 5 metres and needs a perimeter calculated, for instance, might be planned out as "add all four sides" or as "double the two different side lengths and add them" — different routes to the same answer, and part of problem-solving is recognising there's a choice at all.
Only once a sensible approach has been chosen does the actual calculating happen. For the garden example: 8 + 8 + 5 + 5 = 26 metres, or equivalently 2 × (8 + 5) = 26 metres — both routes land on the same correct answer, which is itself a useful thing for a child to notice and check.
This step gets skipped more than any other, and it's genuinely valuable: does the answer make sense given the original problem? Is there another way to check it, or another method that should give the same result? A perimeter answer smaller than one of the individual side lengths would obviously be wrong, and catching that kind of thing is exactly what this final step is for.
Genuine problem-solving usually involves at least one dead end or wrong turn along the way — that's not a sign something's gone wrong, it's normal for any problem that isn't just a direct application of a memorised method. Children who've only ever practised problems with an obvious, single correct route can find this genuinely uncomfortable at first, and it's worth normalising rather than rescuing a child from every moment of being stuck.
This framework is worth applying consistently, across many different problems, rather than taught once and assumed to stick. Over time, the explicit four steps tend to compress into an automatic habit — a child stops consciously narrating "now I'm planning" and simply approaches unfamiliar problems that way by default.
Grasp Maths offers scaffolding at each stage of a problem, not just a final answer key, which mirrors this same understand-plan-solve-check structure — helping a child build the habit through repeated, guided practice rather than leaving it to chance.
Try a free Grasp Maths practice session and see problem-solving scaffolded at every stage.