Should a child memorise addition and subtraction facts from the start?
No. First build number meaning and model operations with objects, fingers or drawings, then connect symbols. Speed develops after understanding and brief repeated practice.
Practical takeaways
- Quantity before the numeral.
- Representation before written calculation.
- Making 10 is better than counting from zero each time.
Building number meaning
Have the child count and rearrange objects to see that position does not change quantity. Then connect the group to its numeral card and spoken number name.
- Count objects the child can touch.
- Make the same number in two ways.
- Compare: more, fewer, equal.
Visualising tens and units
Bundle every ten units. 34 means three bundles and four units, not two digits stuck together. This understanding underpins later operations.
Addition as adding; subtraction as taking away or finding a difference
Model a short story: we had 6 and added 3. For subtraction, try taking away and then comparing groups. Varying stories prevents rote learning.
Suitable calculation strategies
Use making 10, small doubles and counting on from the larger number. Do not impose one strategy if the child can explain a correct, meaningful method.
Frequently asked questions
Is using fingers wrong?
Not while building understanding. Gradually move to mental images and making-10 strategies.
The child confuses 6 and 9: is this a maths problem?
This is common initially. Use large models and practise writing direction without pressure.
When should written operations begin?
When the child can model the story and explain + and −, not merely name the symbols.