The new National Curriculum is written with three core aims:
Fluency, Reasoning and Problem Solving.
Children need to develop a mastery of mathematics rather than achieving the next objective year on year. The curriculum is written so that children can strengthen deeper understanding and apply knowledge into different contexts within the field of mathematics.
Depth of Mathematical Learning
In order to understand the way children are now being taught it might be helpful to think of this diving picture.
The picture represents depths of learning:
Working Towards the Expected Standard (Paddling) – The children gain the first level of understanding and with support and/or structure, are able to achieve the learning objective.
Working At the Expected Standard (Snorkelling) – Children’s understanding deepens so that with prompts or the use of success criteria, the children are able to achieve the learning objective with greater independence and deeper understanding
Working at Greater Depth within the Expected Standard (Diving) – Children show a deep understanding and are able to apply their knowledge independently, in a variety of different contexts.
Fluency is made up of three main parts: efficiency, accuracy and flexibility.
To increase fluency children should become proficient at:
- Learning times table facts,
- Division facts,
- Doubles and halves,
- Number bonds to 10, 20, 100 and 1000
- Addition and Subtraction of two digit numbers mentally
There are many other numbers facts which help but it is vital that children learn how to apply these facts to other problems within mathematics.
Superhero and Football Maths Leagues
Throughout the school, children learn key addition and tables facts which they practice daily to increase their fluency. In KS1 the theme of the tests is ‘The Superheroes League’ and in KS2 it is ‘Football League’. Every week a maths key facts test takes place on the key facts the children are learning. The children are encouraged to improve their previous score and progress through the different divisions of the league. Certificates are awarded when the children are secure.
To be able to reason children should be able to conjecture and offer a proof and explanation of their ideas. They should be able to form links between mathematical ideas and be able to apply and test these.
Problem solving tasks are rich tasks. This means they are problems which have multiple answers or different strategies to solve them. They are not a simple closed question. They may have several steps to complete in order to find the answer. They may use several different elements of mathematics and they are suitable for any ability level.
Our Calculation Policy
The teaching of the four operations (addition, subtraction, multiplication and division), follow our calculation policy. This policy is designed to ensure the children develop a deep understanding and fluency in applying a range of strategies through the use of a range of equipment, informal and more formal methods of calculation as they move through KS1 and KS2.