When looking to teach maths, sometimes you are faced with a complex curriculum which
outlines various ways to manipulate numbers – these are not as easy to understand as the writers think – thus the following list outlines the ways to find your way through the maze !
number skills
Sorting- objects sharing a common attribute are grouped together.
One-to-one correspondence – this is necessary before
counting can begin.
Counting- matching number names in one-to-one correspondence to a set of object.
Ordinality- ordering according to position
Cardinality- identifying
sets that is the same number of members.
Conservation- recognising that number is conserved whatever the arrangement of the members of the set.
Symbol recognition- recognising the abstract number symbol and relating them to the sound of the number words.
Place value- the position of a digit indicates its value, for example, 7, 73 and 741 each assign a different value to the digit 7.
Number operations
Addition- counting on from an identified point
Subtraction- taking away object from a set
- Working out the difference between 2 sets
Multiplication- adding equal sets (2+2+2=)
- enlargement (2,4,6,8,10)
- arrays e.g. 2
types of bread = 6 types of
3 types of fixing sandwich
Division- sharing amounts equally between a given number of sets.
Division- establishing how many sets of a given number can be made
There are 6 fish
(e.g. how many cats can have 3 fish each? )
Fractional parts-
1/3 can represent:
- one whole divided into there parts
- a
share of a number that is divisible by three
- a share of a number less than three
- a share of a number not divisible by three
- a share of three
- a share of a number less than one
ALGEBRA- a generalisation of numerical relationships
Number patterns- portrayed numerically, algebraically and geometrically
e.g. patterns of number bonds
Patterns in place value
Patterns of multiplication and
Division Patterns of equivalence and specific number patterns
Manipulation of unknown quantities. - use of letters and symbols
- use of graphs and co-ordinates
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