Children drilled on times tables often don't understand what multiplication is. They memorise, forget, relearn. A child who understands that 4 × 3 is 4 groups of 3 (or 3 groups of 4) can figure out the answer even if they momentarily forget the fact.
The Memorisation Problem
Start With Arrays
Draw or build rectangular arrangements of objects. "Here's 4 rows of 3. How many altogether? 4 × 3 = 12."
Students see that 4 × 3 and 3 × 4 make the same array (commutativity). Multiplication is concrete, visual.
Groups and Equal Sharing
"I have 3 bags with 5 apples in each. How many apples? 3 groups of 5 = 15." Tie multiplication to real contexts: groups of items, items shared equally.
Skip Counting
Skip count by 2s, 3s, 5s, 10s. "2, 4, 6, 8, 10..." This embeds multiples. Once students are comfortable skip-counting, they can figure out facts: "Skip count by 4. 4, 8, 12, 16. So 4 × 4 is 16."
Building on Known Facts
Once students know 5 × 4 = 20, they can reason: "6 × 4 is one more group of 4, so 20 + 4 = 24."
Teach strategies, not isolated facts. This is generalizable and empowering.
Visual Representations
Hundreds charts, multiplication grids, area models. Students see patterns visually and reason mathematically.
Games Over Flashcards
Dice games, card games, online games make fact practice engaging. Flashcards are boring and don't build reasoning. Games embed facts through play.
Memory Comes Last
After months of arrays, groups, skip counting, and reasoning, facts naturally stick. Some students memorise faster than others. That's fine. Fluency develops at different speeds. Don't pressure.
