Mathematics in the Early Years
and Infants – Addition.
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.
Skills Needed
•
Counting and ordering numbers 1 – 20.
•
Use appropriate vocabulary
Expectations
• To count numbers within 20 using pictures
and objects.
• Tell an addition story
• Lots of practical counting using a range of
objects.
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.
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, ……………..
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.
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.
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.
•
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.
Expectations.
• Children should add:
•
U+U
•
TU + U (up to 20 including zero).
• Suitable Methods:
• Practical
• Number line
Year 1 Addition
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.
Year 2 – Expectations.
• Children should add:
• TU + U
• TU + multiples of 10
• TU + TU
• U+U+U
• Suitable Methods:
• Practical
• Number Line
• Expanded
columnar
Year 2 – Addition.
Using a number
square.
Number line 0 counting
on.
Year 2 Addition.
Empty Number
Line.
Number line –
Bridging 10 then
adding on.
Expanded Columnar.
References:
• Gelman, R. & Gallistel, C (1978) ‘The Child’s
Understanding of Number’ Cambridge, MA.
Harvard University Press.