Field notes · 28 June 2026 Daily practice · Australia ★ ★ ★ ★ ★  App Store · AU
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By Eucaly Editorial · 28 June 2026 · 3 min read

Times Tables: Why Knowing Them Cold Is Not Enough

A child writing in a maths notebook at a wooden desk, soft natural light from a nearby window.

There is a moment most parents recognise. You ask your Year 3 child what seven times eight is, and they count up in their head, lips moving, fingers almost twitching. They get there. But it takes twelve seconds, and by the time they arrive, whatever problem they were actually trying to solve has fallen apart around them.

That is not a times tables problem. That is a working memory problem caused by a times tables problem.

When a child has to consciously retrieve a multiplication fact, they are spending mental effort that should be going toward the harder task sitting on top of it. Long division. Word problems. Fractions. The table itself becomes the obstacle rather than the tool. The maths gets harder not because the new concepts are beyond them, but because the foundations are still costing them something every single time.

So the obvious answer is drill. Flashcards, apps, skip counting until it is automatic. And that part is correct. Automaticity matters enormously. A child who can recall six times seven in under two seconds is genuinely freer to think about the problem around it.

But here is what most parents do not consider. A child who has only ever drilled will often freeze the moment the fact appears in an unfamiliar form. Ask them seven times six instead of six times seven and some children pause. Ask them to explain why six times seven equals seven times six, and they cannot. That is not a small thing. Understanding the commutative property is what lets a child navigate multiplication flexibly, to check their own work, to derive a forgotten fact rather than simply failing to retrieve it.

Understanding without automaticity is slow. Automaticity without understanding is brittle. A child needs both, and the timing of each matters more than most practice routines account for.

The most effective sequence is not understanding first, then drilling. It is understanding and drilling in parallel, with each reinforcing the other. When a child grasps that multiplication is repeated addition, the drill stops being arbitrary. When the drill makes a fact automatic, the conceptual explanation they half-understood earlier suddenly clicks into place. They are not two separate tasks. They are the same task approached from two directions.

What tends to happen instead is that Year 3 and Year 4 become a period of partial learning. A child knows their twos and fives reasonably well. Their sixes and sevens are shaky. Their eights are almost there. Parents assume the class will consolidate this at school. Teachers assume the child is practising at home. Neither is quite wrong, but the repetition needed to move a fact from fragile to automatic is more than either setting typically provides on its own.

The research on this is fairly settled. A fact needs to be successfully retrieved somewhere between ten and twenty times across spaced intervals before it becomes genuinely automatic. Not ten times in one sitting. Ten times across days and weeks, with gaps in between that force the brain to actually reconstruct the memory rather than simply reread it. One focused session a week does not achieve this. Short daily practice does.

Eucaly is built around exactly this structure, with a free seven-day trial at eucaly.au/download so parents can see how daily numeracy practice compounds across a term rather than a single weekend.

There is a particular kind of frustration when a child sits a test and misses questions they absolutely knew two weeks ago. That is not a focus problem or a test anxiety problem. It is what happens when retrieval has never been made effortful enough, often enough, across enough time for the fact to hold.

— Eucaly —

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