Mathematics

Mathematics is a vital life skill. At Carfield, we know that children require a solid and secure foundation in Maths in order to succeed in both their future education and in the real world. The curriculum at Carfield is carefully designed to build on prior knowledge and skills to ensure challenge across all levels by utilising a growth mindset approach. Our maths curriculum will encourage curiosity, resilience, collaboration and a positive attitude to the subject as well as teaching a deep understanding of mathematical concepts and the ability to problem solve methodically. Our maths curriculum is ambitious, broad and balanced for all pupils including those with SEN and/or disabilities.

Maths lessons are underpinned by our mathematical Key Concepts or ‘Big Ideas’ in order to not only provide children with knowledge but also develop mathematical skills, allowing them to know more; do more and understand more. Maths lessons are planned to ensure that lessons build upon the Big Ideas and that lessons always work towards children developing this knowledge and skills.

Fluency

Children are fluent in the essentials of mathematics, so that pupils have a deep understanding and the ability to recall and apply knowledge quickly and accurately developing their confidence and self-efficacy.

Children are able to choose the most appropriate calculation method for any given problem including mental and formal written strategies and apply these in a range of contexts.

Pupils practise fluency in a variety of different methods and mediums make connections between different formal methods and inverse operations.

Reasoning

Children are able to draw on their growing mathematical understanding to identify which steps are needed to solve a problem and break the problem down into a series of simpler steps.

Children are able to fluently apply their knowledge and skills to solve these problems, showing perseverance when seeking solutions.

Children are set appropriate challenges that stretch and develop their understanding and resilience.

Connections

Children practise and use their mathematical knowledge throughout the school day in a range of different lessons, including Science and other wider curriculum areas.

Children know the links between different mathematical concepts and ideas and are able to draw upon their full range of knowledge when solving mathematical problems relating to everyday situations.

Children are able to understand that maths exists outside of the classroom and they are able to use Maths in the wider world preparing them for future education and careers.

Implementation

At Carfield Primary School, all children have a daily maths lesson as well as a daily 15-minute arithmetic lesson to further develop fluency. Our maths curriculum map for 2021-2022 was designed to follow the recommendations from the, ‘Curriculum Prioritisation,’ document written by the NCETM as well as being sequenced to ensure additional time was given to areas of maths that had been identified as gaps for each year group in the summer term 2021. Teachers use this curriculum map to ensure that the maths curriculum is taught in the order which will promote the best understanding of the mathematical concepts for their year group and allow additional time to study areas in which the children need the most instruction to address their gaps.  

Teachers use our ‘Solve it! Prove it! Explain it!’ approach to teach maths. This approach ensures that within every lesson, all children will have the chance to practise their fluency skills as well as apply this knowledge into reasoning and explain their learning. Through this daily mixed practice, children should be fluent in all of their arithmetic skills and mathematical knowledge but also be able to apply this knowledge consistently and fluently in a range of contexts.  

In order to ensure children at all levels are challenged and making progress in their maths learning, pre-assessments are carried out before each new area of learning to ascertain children’s prior knowledge and skills. These pre-assessments are designed to inform planning effectively without being overly time-consuming for the children to complete. Teachers then use these pre-assessments to adjust and personalise planning and to dictate children’s starting points in each lesson.  

Retrieval practice is an embedded part of daily maths lessons and is used to ensure pupils regularly revisit their learning, helping mathematical concepts, knowledge and skills to be stored in children’s long-term memories.  

Post-assessments are also used for each unit of work in maths so that teachers can check whether children have retained new learning and can apply it accurately. Any areas of maths that children forget or still need to practise, are re-covered in retrieval practice, arithmetic lessons or small-group interventions.  

Teachers use a range of resources in order to teach concepts, skills and knowledge effectively to pupils at Carfield. Concrete resources and manipulatives are used to ensure mathematical learning is clearly understood by all learners before children solve problems in abstract contexts. Children have access to, and use, a range of scaffolding in order for them to understand and deepen their learning and achieve the learning objective in each lesson.  

Every teacher is a teacher of special educational needs. Therefore we endeavour, as a team, to meet the needs of each individual through reasonable adjustments and targeted approaches, as per the SEND code of practice. All of which is done in collaboration with pupils, parents, staff and where appropriate external services. For those children with SEN and/or disabilities, we ensure they have the support that they require according to their individual needs in order to access and achieve in maths. We remove barriers, make reasonable adjustments, adapt and personalise learning opportunities and use aids in order to maximise potential. We are committed to ensuring that all barriers to learning are overcome without compromising progress, quality of learning, access to the curriculum or equipment.  

Impact

Our maths curriculum at Carfield will ensure that children leave primary school with the necessary subject knowledge and skills as well as a love for maths that they need in order to be successful mathematicians. The high-quality maths education the children receive at Carfield will help pupils gain a coherent knowledge and understanding of mathematics and will give them the tools they need to make them confident and skilled problem-solvers. Children will leave Carfield fluent in the essentials of mathematics, with the ability to recall and apply knowledge quickly and accurately. They will understand the connections between different areas of maths and draw upon their full range of knowledge when solving mathematical problems. Our curriculum prepares pupils with SEND for the next stage of their mathematical education.