Research Principles

The Number Sense Maths programmes are informed by research into how high and low attaining children develop number sense, and how they solve and learn addition and subtraction facts.

7 key principles underpin the programmes:

Principle 1

Children benefit from moving beyond counting in ones to solve addition and subtraction facts. Not doing so is associated with low attainment.

Principle 2

Systematic teaching of derived fact strategies is effective for all, including children identified as low attainers.

Principle 3

Using a derived fact strategy approach is the best way to commit addition and subtraction facts to memory.

Principle 4

We have an innate ability to process quantities visually. We can use this to support our learning of addition and subtraction facts.

Principle 5

Developing an understanding of part whole relationships supports fluency in number facts.

Principle 6

Teaching derived fact strategies leads not only to fluency in number facts, but also to an understanding of number relationships.

Principle 7

The automatic retrieval of basic maths facts is critical to solving complex maths problems.