The Counting Principles
Following research from Gelman and Gallistel in 1978, it is vital that teachers understand the five counting principles.
- The one-one principle. This involves children assigning one number name to each object that is being counted. Children need to ensure that they count each object only once ensuring they have counted every object.
- The stable-order principle. Children understand when counting, the numbers have to be said in a certain order.
- The cardinal principle. Children understand that the number name assigned to the final object in a group is the total number of objects in that group.
- The abstraction principle. This involves children understanding that anything can be counted including things that cannot be touched including sounds and movements e.g. jumps.
- The order-irrelevance principle. This involves children understanding that the order we count a group of objects is irrelevant. There will still be the same number.
Maths Hub Mastering Number ProgrammeFrom September 2022, we began developing our Maths teaching and provision through participating in the Maths Hub Mastering Number Programme. This project aims to secure firm foundations in the development of good number sense for all children from Reception through to Year 1 and Year 2. The aim over time is that children will leave KS1 with fluency in calculation and a confidence and flexibility with number. Attention will be given to key knowledge and understanding needed in Reception classes, and progression through KS1 to support success in the future. Children use an abacus-like rekenrek can be used to help them develop confidence and fluency with number. Use of a rekenrek is one element of the Mastering Number Programme
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