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Mathematics

 
 

Our Curriculum Intent:

At Whittington we strive for our children to be successful and proficient mathematicians. Maths is a life skill – we use it all the time. We even use maths when we don’t even realise it. We believe that all children can master maths using a growth mind-set approach. Children and adults believe that hard work, effort and commitment drive success and everyone can do maths!

 

The 2014 National Curriculum for Maths aims to ensure that all children:

  • Become fluent in the fundamentals of Mathematics
  • Are able to reason mathematically
  • Can solve problems by applying their Mathematics

Our Curriculum Approach:

 

At Whittington, where pupils start as novices, the Maths curriculum builds fluency in key practices that are essential for later success.

 

 

There are Three Key Categories of Knowledge:

  1. Knowledge of facts - declarative knowledge

We build the children’s knowledge of facts through our daily teaching and our weekly focus on Key Instant Recall Facts. Each year group has a half termly focus, which develops the children’s automaticity. We are also part of the NCETM Mastering Number program for EYFS and Key Stage 1. This enables our children to have daily systematic practice of key number facts so that they have developed a firm foundation of number sense. This means they can say, ‘I know that…’.

  1. Knowledge of methods - procedural knowledge

We follow a clear progression of calculation strategies to develop the children’s procedural understanding. The children will be able to select the most efficient methods for calculating and will have a secure understanding of the underlying principles. This means they can say, ‘I know how…’.

  1. Knowledge of strategies - conditional knowledge

Once children’s knowledge is automatic and secured, they can then move on to condition knowledge. This is the knowledge and understanding of strategies which can be used to reason and solve problems. Children are given opportunities to apply their knowledge throughout their lessons, they are taught topic-specific problem-solving strategies They will be able to say, ‘I know why…’.

To be successful in Maths, we recognise that pupils need to develop their conceptual understanding. In order to develop conceptual understanding in our pupils, we implement the CPA approach to learning (concrete, pictorial and abstract). This approach recognises that in order for pupils to understand abstract concepts, they must first learn mathematical concepts through the use of concrete resources and pictorial representation. Manipulatives are essential resources for all stages and teachers use these at every opportunity, and continue the Concrete-Pictorial-Abstract approach right through to Year 6.

To ensure consistency and progression, Whittington uses the DfE approved ‘Power Maths’ scheme. This is fully aligned with the White Rose Maths scheme and the school’s ongoing engagement with the DFE funded Maths Hubs programme. At the heart of Power Maths is a clearly structured teaching and learning process that helps make certain that every child masters each maths concept securely and deeply. It sees all children learning the same concept in small, cumulative steps, each finding and mastering challenge at their own level. Rapid interventions or extending the use of manipulatives can help support learners who need support during a lesson. Those who grasp a concept easily have time to explore and understand that concept at a deeper level. Power Maths’ mastery approach values real understanding and richer, deeper learning above speed. The whole class therefore moves through the curriculum at broadly the same pace.

Curriculum Implementation:

For each year group, the curriculum is broken down into core concepts and taught in units. A unit divides into smaller learning steps – lessons.

At the heart of Power Maths is a unique lesson sequence designed to empower children to understand core concepts and grow in confidence. New concepts are shared within the context of a problem; which children are able to discuss in partners. This initial problem-solving activity prompts discussion and reasoning, as well as promoting an awareness of maths in relatable real-life contexts that link to other areas of learning. Teachers use careful questions to draw out children’s discussions and their reasoning.

The class teacher then leads children through strategies for solving the problem, including those already discussed. The class then have ‘Think together’ time where the teacher models how to answer questions, then the children work in groups to answer questions and then finally to them answering questions independently.

After this, they complete independent work which provides the means for all children to develop their fluency further through careful variation, before progressing to more complex related problems.

At the end of the lesson, children are asked to reflect. This is where they develop their ability to reason and explain mathematical concepts.

When children learn to talk purposefully together about maths, barriers of fear and anxiety are broken down and they grow in confidence, skills and understanding. Building a healthy culture of ‘maths talk’ empowers their learning.