Should we memorise tables before explaining multiplication?
No. Show that 4 × 3 describes four groups of three and division finds either the number of groups or the amount in each. Memorisation follows meaning and patterns.
Practical takeaways
- Equal groups before the × symbol.
- Division means sharing or grouping.
- Build tables through patterns and multiples.
Multiplication as repeated addition
Arrange buttons in equal groups, write the addition then multiplication. Rearrange rows and check whether the total stays the same.
Arrays and skip counting
Rows and columns make 3 × 5 visible; counting 5, 10, 15 builds multiples without isolated memorisation.
Division as sharing or grouping
Share 20 objects among 4 children, then ask how many groups of 5 can be made. These two views of sharing and grouping broaden understanding.
The link between the two operations
From 4 × 5 = 20, write 20 ÷ 4 = 5 and 20 ÷ 5 = 4. Fact families strengthen checking and meaningful memorisation.
Frequently asked questions
Which tables come first?
Start with 2, 5 and 10 through patterns, then expand gradually with the curriculum.
Should we introduce remainders now?
Start with sharing without remainders, then simple situations leaving one or more objects.
The child memorises without understanding: what should we do?
Have them represent a memorised fact with groups or a drawing and invent a short story about it.