Big Ideas in Early Years Mathematics

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Big Ideas in Early Years Mathematics by Mind Map: Big Ideas in Early Years Mathematics

1. One to one correspondence

1.1. Meaning, for example, that if you have four cats and each eats from its own bowls, you would also have four bowls.

2. Cardinality

2.1. This is the idea that numbers are representative of an amount, and the bigger a number the more of that ‘item’ you have.

2.2. This quantity is the same no matter how it is laid out or organised.

3. Hierarchical inclusion

3.1. Piaget 1965; Kamii 1985

3.2. Numbers build on one another and nest within one another in exactly one at a time.

4. Compensation

5. Part/ Whole relationships

6. Counting on

6.1. 11/21 circle game

7. Strategies for constructing number sense in the early years

7.1. Games

7.1.1. Board games

7.1.2. Dice games

7.1.3. Card games

7.2. Routine experiences

7.2.1. Lining up

7.2.2. Getting food

7.2.3. Taking the register

7.2.4. Cooking and baking

7.2.5. Playing outdoors

7.3. Community experiences

7.3.1. Food shopping

7.3.2. People watching

8. Cardinal to count

9. Ordinal for position

9.1. First

9.2. Second

10. Nominal for name

10.1. Bus

10.2. Phone

11. Stable order

11.1. Fixed and unmoving numbers

12. Order irrelevance

13. Movement is magnitude

14. Abstraction

14.1. Spoken words

14.2. Jumps

14.3. Music

14.4. Rhythm

14.5. Sleeps