How do we teach maths?

From the link below you can access our 'How do we teach maths?' document.  It shows how arithmetic (addition, subtraction, multiplication and division) is taught from Y1- Y6 through a CPA approach.
CPA stands for concrete, pictorial, abstract. 
Concrete means using objects and resources to demonstrate maths in a practical way.  It is a skill that gets trickier with age - but is extremely important to demonstrate understanding.  Can you show me how you know that? 
Pictorial develops the practical approach to begin to document how you answer the question.  It clearly represents the concrete objects used to show practical understanding. 
Abstract continues to develop understanding, recording maths sentences using appropriate maths annotations and symbols, and applying understanding to a wide range of questions.