Our Approach to Teaching for Mastery in Mathematics
Mathematics teaches children how to make sense of the world around them through developing their ability to calculate reason and solve problems. It enables children to understand relationships and patterns in both number and space in their everyday lives. Through their growing knowledge and understanding, children learn to appreciate the contribution made by many cultures to the development and application of mathematics.
Our aims are that our children gain:
- deep and sustainable learning
- sound procedural and conceptual understanding
- an ability to build on previous knowledge
- an ability to reason about a concept and make connections
- an ability to use and apply mathematical skills in real-life
We aim to develop growth mindset thinking, value mistakes and persistence – we ensure children:
- are confident
- enjoy mathematics
- are flexible in their thinking
- have no fear of failure
- are happy to make mistakes
- have a ‘can do’ approach
At SS. Mary & John’s Catholic Primary Academy we use a mastery approach to the teaching of mathematics; this means that all children are taught one set of mathematical concepts and the big ideas in mathematics. Lessons are carefully crafted in order to allow all pupils to access these concepts and ideas and explore the rich connections between them. Teachers use a range of high quality resources and are supported by NCETM Curriculum Prioritisation materials which outline maths specific subject and pedagogical knowledge linked to the NCETM professional development materials and the DfE Non-Statutory Maths Guidance. We have high expectations of our pupils and strive to make the mathematics curriculum accessible to all. Pupils will move through the National Curriculum programme of study at broadly the same pace. We recognise that all children need a deep understanding of the mathematics they are learning in order that future learning is built upon firm foundations.
Aspects of mathematics teaching:
➢ A coherent journey through the curriculum is planned (learning in small steps daily);
➢ Learning is through a Concrete – Pictorial – Abstract approach (see footnote 1);
➢ Teachers carefully choose representations which expose the structure of the mathematics and plan to address difficult points in order to develop deep understanding of concepts;
➢ Children are taught to think mathematically and reason logically – looking for patterns and relationships;
- Communication – precise mathematical language is used in oral/written explanations, expecting pupils to explain their thinking in whole sentences;
- Ensure pupils work in mixed ability partners and groups;
- Teaching is episodic and whole-class based with everyone covering the same content;
➢ Adults use skillful questioning to reveal, probe and address misconceptions;
➢ Variation is used to explore the essential features of concepts;
➢ Mathematical skills are practised, applied and assessed across the curriculum;
➢ A mathematically rich environment supports learning;
- Fluency and flexibility are developed in every lesson (including looking at relationships and making connections);
- Adaptive teaching within lessons through the EEF’s ‘Five-a-Day’ principle: explicit instruction, cognitive and metacognitive strategies, scaffolding, flexible grouping and using technology effective assessment for learning using questioning and scaffolding so that all pupils can access the learning.
- Children grasping a concept rapidly will be challenged through problem solving and reasoning questions;
➢ Skillful assessment for learning identifies children who are struggling to grasp concepts leading to guided groups and catch up sessions with qualified teachers or teaching assistants, and if required, structured interventions;
- Full exploration of each concept before moving on, pupils will have plenty of practice to embed ideas. Struggling learners will have ample time to remediate when necessary and advanced learners will have enough opportunities to deepen their understanding.
The curriculum sequences small steps within each new mathematical topic across each year group. Pupils spend far longer on key mathematical concepts in number and calculation allowing a depth of understanding enhancing progress and understanding within all mathematical areas. Those children who grasp the concepts more quickly are given opportunities to deepen their knowledge further by improving their reasoning and problem solving skills rather than accelerating on to new curriculum content. Curriculum planning in other subject areas provides opportunities for pupils to use and apply their mathematical skills.
Mathematics and Inclusion
At our school, we teach mathematics to all children, whatever their ability and individual needs. Mathematics forms part of the school curriculum policy to provide a broad and balanced education to all children. Through our mathematics teaching, we provide learning opportunities that enable all pupils to make good progress from their starting point. We strive hard to meet the needs of those pupils with special educational needs, those with disabilities, those with special gifts and talents and those learning English as an additional language, and we take all reasonable steps to achieve this and give equal opportunities to all pupils.
When progress falls significantly outside the expected range, the child may have special educational needs. Our assessment process looks at a range of factors – classroom organisation, teaching materials and adaptive teaching – so that we can take some additional or different action to enable the child to learn more effectively. Assessment against the National Curriculum allows us to consider each child’s attainment and progress against age related outcomes. This ensures that our teaching is matched to the child’s needs.
Intervention through SEND support will lead to the creation of a provision map for children with special educational needs, where they will receive specialist or targeted support with specific targets relating to mathematics. Teaching assistants are timetabled on class provision maps to work on these targets with children during the course of the week. Support teachers and teaching assistants are used for planned intervention groups and/or 1:1 tutoring. We use different age appropriate interventions are used such as, precision teaching to support automaticity of number facts and ‘Complete Maths Tutor’ which is supported by built in diagnostic tool.
There may be a need to give a minority of pupils in some year groups a bespoke programme of learning due to their individual learning needs which is supported by our SENDCo. We implement recommendations from the EEF’s guidance report, ‘Special Educational Needs in Mainstream Schools’ which suggests that schools take a tiered approach to educational support, considering how whole class teaching could be made more accessible as well as providing targeted interventions.
The impact of the curriculum design will lead to outstanding progress over time at all key stages, from the children’s starting points on entry. Children will leave school attaining their very highest possible outcomes in relation to Age Related Expectations. It is our aim that all children will at least meet Age Related Expectations.
The curriculum, including the calculation policy, will enable teachers to consistently plan and deliver lessons of the highest standard and children’s outcomes will be of the highest possible.
Children will be able to make useful connections and solve practical problems that they encounter in real life.
Children will be confident, resilient, self-motivated, independent learners with a thirst for challenge and with the mindset that with effort they will succeed.