Every generation rediscovers the times tables. Some people swear by classical rote drill — twelve facts a week, chanted in unison, tested on Friday. Others advocate for "never memorize, always reason". Both camps miss the point.
The goal of learning the times tables is not the tables themselves. It is freeing up the child's working memory so that multi-digit multiplication, division, fractions, and algebra can focus on *the interesting part* without the arithmetic tripping them up. That goal demands fluency — not just memorization, and not just reasoning.
The path we recommend, which is also the path the games in MathVenture follow, has three phases. First, the child learns the meaning of multiplication through repeated addition and arrays: three groups of four is twelve, and you can see it as three rows of four dots. Second, the child learns to skip-count in every family: twos, fives, tens, threes, fours, and so on. Skip-counting in fives is easier than knowing 5 × 7, and every child can learn it by first grade. Third — and only third — the child memorizes the harder facts using the patterns they have already discovered. 7 × 8 is hard. But 7 × 8 = 7 × 4 × 2 = 56 is a derivation the child can do in their head once the 7 × 4 fact is fluent.
That third phase is where most curricula skip a step. They ask the child to memorize 7 × 8 without first giving them the tools to reconstruct it when memory fails. As a result, the child who forgets 7 × 8 has no recourse — they guess. A child who has learned the patterns will derive the answer and, in the process, reinforce the memory for next time.
At home, the highest-leverage activity is daily skip-counting. Every morning on the walk to school, count by fours up to forty and back. Count by threes up to thirty. It takes ninety seconds and it builds the raw material that every future multiplication fact will be made of.
Avoid the timed flashcard test as a primary teaching tool. Time pressure triggers anxiety, which suppresses working memory, which is *the exact faculty you are trying to build*. Speed should be a celebration at the end of fluency, not a forcing function at the start.
The other thing worth saying out loud: times tables are not a memorization race. A child who learns the threes by understanding that 3×7 is "three groups of seven, which is twenty-one" is doing something a child who has merely memorized "three sevens twenty-one" cannot easily do — they can recover the answer if they forget it, and they can use it inside a larger problem. Memorization without structure is brittle; the moment a child loses confidence, the whole table starts to feel shaky. Memorization with structure is durable.
A useful sequence at home is: skip-count first, then derive a few facts, then practice the rest. Skip-counting by twos, fives, and tens is a preschool-level skill that almost every child reaches before formal multiplication is introduced. Build on that. The threes can be reached by adding to the twos. The fours by doubling the twos. The sixes by doubling the threes. The eights by doubling the fours. The nines by the famous "fingers" trick or by noticing that 9× anything is 10× minus the number itself. By the time a child has reached the sevens — the table that almost every adult remembers as the hardest — they have already met most of those facts in another guise, because 7×3 is the same as 3×7, and they already know the threes.
What about the children who genuinely cannot recall a fact even after lots of exposure? In our experience, about one child in twenty needs an explicit memory hook for two or three sticky facts. 7×8 is the classic — most adults still hesitate on that one. The hook can be silly ("five-six-seven-eight: 56 = 7 × 8") and that's fine. Mnemonics are training wheels, not the bike, and they can come off later.