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Maths

INTENT

Maths provides children with calculation, reasoning and problem solving skills and a secure knowledge of our number system. Mathematical fluency enables children to reason, make connections, speculate, generalise and prove theories. It ensures that children develop skills and knowledge that are critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. Children will be inspired to approach maths with creativity and curiosity.

 

IMPLEMENTATION

Mastery Approach: All children are able to achieve in mathematics and therefore children are taught the mathematics curriculum at broadly the same pace. Children who need some additional support to ‘keep up and catch up’ receive scaffolding or targeted adult support within lessons or as part of same day remediation groups. Manipulatives, high quality sentence stems and a variety of representations ensure that children have secure conceptual understanding before moving on to the next chapter of learning.

Mental maths fluency: Fluency comes from deep knowledge and practice. Pupils work hard and are productive. At early stages, explicit learning of multiplication tables is important in the journey towards fluency and contributes to quick and efficient mental calculation. Practice leads to other number facts becoming second nature. The ability to recall facts from long term memory and manipulate them to work out other facts is also important. Daily fluency sessions from EYFS to Year 6 provide children with opportunities to rehearse and practise mental fluency. These are taught as additional, explicit sessions which supplement the hourly maths lesson every day. They also expose children to moving between different mathematical topics efficiently.

Mathematical Knowledge: The mathematics curriculum encompasses number and place value, measurement, geometry, statistics, ratio and proportion and algebra. Lessons are crafted carefully, drawing on evidence from observations of pupils in class. Lesson designs set out in detail well-tested methods to teach a given mathematical topic. They include a variety of representations needed to introduce and explore a concept effectively and also provide worked examples for pupils to replicate.

Teachers are clear that their role is to teach in a precise way which makes it possible for all pupils to engage successfully with tasks at the expected level of challenge. Pupils work on the same tasks and engage in common discussions. Concepts are often explored together to make mathematical relationships explicit and strengthen pupils’ understanding of mathematical connectivity. Precise questioning during lessons ensures that pupils develop fluent technical proficiency and think deeply about the underpinning mathematical concepts. There is no prioritisation between technical proficiency and conceptual understanding; in successful classrooms these two key aspects of mathematical learning are developed in parallel.

Working mathematically: Problem solving is at the heart of every mathematics lesson and children are equipped with the skills and confidence to enable them to try different approaches, persevere and prove their thinking.

Children are encouraged to explain their thinking at every step of the way and prove their answers using mathematical evidence.

CPA: All mathematical learning begins with a concrete approach, giving children the opportunity to explore practically. The concept is then represented pictorially in order to bridge the transition between concrete and abstract representations. Finally, once a child’s conceptual and procedural understanding is secure they will be presented with the abstract representation.

 

Mastery Lesson Structure Y1-Y6:

Fluency

Regular practice of number facts leads to children being able to recall facts quickly and use

them flexibly in more complex mathematical problems.

Explore / Discuss

Children begin every lesson by exploring a problem. They discuss possible solutions using high quality sentence stems to encourage effective mathematical talk. Children conform to a set of discussion guidelines to ensure all children participate and respond to each

other’s ideas.

High Quality Model

Teachers reinforce an expectation that all pupils are capable of achieving high standards in

mathematics and use high quality models to teach conceptual understanding.

Practice / Demonstration / Immediate

Feedback

Practice and consolidation play a central role. Carefully designed variation within lessons builds fluency and understanding of underlying mathematical concepts in tandem.

Independent Practice / Apply

Taking a mastery approach, differentiation occurs in the support and intervention provided to different pupils, not in the topics taught, particularly at earlier stages. There is no differentiation in content taught, but the questioning and scaffolding individual pupils receive in class as they work through problems will differ, with higher attainers challenged

through more demanding problems which deepen their knowledge of the same content.

Explain / Reflect

Children will be encouraged to think deeply about their learning and how they could explain it to a friend. This explanation of their mathematical thinking will often be evidenced through ‘journaling’. Children will be encouraged to reflect on their learning,

particularly in relation to using what they know already to work out what they don’t know.

 

Resources to support

  • White Rose Maths
  • Variety of manipulatives
  • Virtual manipulatives
  • Times Table Rockstars
  • Mathematical story books
  • Sentence stems

 

IMPACT

Successful maths teaching and learning will develop children who are flexible thinkers and are able to solve problems efficiently. They will be able to use prior knowledge to work out what they don’t know and be fluent with number facts, meaning they can calculate efficiently and automatically in their heads as well as on paper. They will be able to spot patterns and relationships, generalise, reason and understand the connectivity within mathematics.

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