Teaching article
A bigger counter does not make a bigger collection
Separate how many objects there are from how large those objects look.
Spread one set of small objects widely and place an equal set of larger objects close together. The differing appearances create a useful reason to check quantity through counting or correspondence rather than size.
Six small circles outnumber four large squares even when the squares cover more paper.
Compare the sets, not their footprint
Keep object size and set quantity separate in the explanation. A longer row or larger counters can make equal counts appear different.
Predict which set has more objects. Pair objects across the sets. Check the unpaired remainder.
More objects and greater covered area are different comparisons. What evidence supports the comparison?
Align matched pairs on a clear mat.
Resources
- Maths Puzzle Generator — Choose arithmetic or missing-number questions only when they match the number relationship being explored.
Further reading
Read next
- Before and after: locate the reference number first
- Counting on without losing track of the added amount
- Subtraction can compare two collections without taking any away
Explore Number, operations and fractions. Browse all teaching articles.