1. Mathematics in the Early Years and Infants – Addition.

2. New Mastery Curriculum.
The principles underpinning the new mathematics curriculum reflect a ‘mastery approach’ to teaching mathematics.
‘Mastery’ – A full command of a study of a subject, expert skill and knowledge.
A mastery curriculum expose all children to the content with the large majority progressing at the same pace.

3. Skills Needed • Counting and ordering numbers 1 – 20.
• Use appropriate vocabulary

4. Expectations To count numbers within 20 using pictures and objects.
Tell an addition story
Lots of practical counting using a range of objects.

6. Gelmans and Gallistel’s 5 Principles of Counting – Step 1
The one-one principal – To have a distinct counting word to each of the items to be counted.

7. Gelmans and Gallistel’s 5 Principles of Counting – Step 2
The stable-order principle – to be able to count confidently in a repeatable order.
1, 2, 3, 4, 5, ……………..

8. Gelmans and Gallistel’s 5 Principles of Counting – Step 3
The cardinal principle – the number name allocated to the final object in the collection represents the number of items in total.

9. Gelmans and Gallistel’s 5 Principles of Counting – Step 4
The abstraction principle – when a child has the ability to count non-physical things.
For example: counting sounds, counting imaginary objects.

10. Gelmans and Gallistel’s 5 Principles of Counting – Step 5
The order-irrelevance – the child is able to count in any order and understands that they count from right to left or left to right.

11. Year 1 – Skills needed, • Counting and ordering numbers 1 – 100
• Count in 2s and 5s and in 10s to 100
• Number bonds to 20
• Use appropriate vocabulary (add, total, altogether, plus, increase, more, addition).
• Solve problems.

12. Expectations. Children should add: U + U
TU + U (up to 20 including zero).
Suitable Methods:
Practical
Number line

13. Year 1 Addition

14. Year 2 – Skills needed.
• Count in steps of 2, 3, 5 and 10 forwards and backwards from 0.
• Recognise the place value of each digit in a 2 digit number.
• Compare and order numbers from 0 up to 100.
• Read and write numbers to at least 100.
• Understand that addition is commutative ( can be done in any order)
• Solve problems using addition.

15. Year 2 – Expectations. Suitable Methods: Practical Number Line
Children should add:
TU + U
TU + multiples of 10
TU + TU
U + U + U
Suitable Methods:
Practical
Number Line
Expanded columnar

16. Year 2 – Addition.
Using a number square.
Number line 0 counting on.

17. Year 2 Addition. Empty Number Line.
Number line – Bridging 10 then adding on.
Expanded Columnar.

18. References:
Gelman, R. & Gallistel, C (1978) ‘The Child’s Understanding of Number’ Cambridge, MA. Harvard University Press.