How to learn times tables: understanding first, then quick recall

Before memorising, children should see that $3 \times 4$ means 3 groups of 4 (or 4 groups of 3). Use objects, drawings or arrays:

• Arrange 12 counters in 3 rows of 4.
• Turn the array around: 4 rows of 3. Same total, so $3 \times 4 = 4 \times 3$.

This "turnaround" fact halves the number of facts to learn.

Schools often follow a similar order, so ask what your child's class is working on.

• Doubling: $4 \times 7$ is double $2 \times 7$: $14 + 14 = 28$.
• Nines: in $9 \times 1$ to $9 \times 10$, the digits of the answer add to 9 ($9 \times 7 = 63$: $6 + 3 = 9$).
• Elevens: $11 \times 1$ to $11 \times 9$ repeat the digit ($11 \times 4 = 44$).
• Near facts: $6 \times 8$ is $5 \times 8$ plus one more 8: $40 + 8 = 48$.

Patterns let children work out a fact they've forgotten, and working it out repeatedly helps it stick.

Five minutes a day beats an hour on Sunday, because spaced practice leads to longer-lasting memory (Cepeda et al., 2006). Make practice about recall, not just reciting in order:

• Quick-fire questions in a random order.
• Flashcards, sorted into "know it" and "still learning".
• Games: card games, dice games, times tables apps.
• Saying the answer before checking, every time.

Most children find a handful of facts stubborn, often $6 \times 8$, $7 \times 8$ and $7 \times 6$. Keep a list of the ones your child gets wrong or answers slowly, and practise those most. A trick for $7 \times 8$: 5, 6, 7, 8 ($56 = 7 \times 8$).

Timed tests can make some children anxious. Build accuracy first, then speed, and celebrate progress ("you know all your 3s now!"). If your child is still very slow or anxious after lots of practice, talk to the teacher. An AI tutor can help with short practice games that come back to the facts your child finds hardest; see an AI tutor for elementary school.