Our Mathematics Approach at The Oaks Community Primary School
Strong Foundations. Fluent Thinkers. Confident Problem Solvers.
At The Oaks Community Primary School, we believe that every child can become a confident, capable and successful mathematician.
Mathematics is one of the four core drivers of our curriculum, alongside reading, writing and oracy. It provides children with the knowledge, understanding and skills to make sense of the world, solve problems, recognise patterns and think logically.
Our ambition is for every child to develop a secure understanding of mathematics, become increasingly fluent with numbers and confidently apply their knowledge in a range of contexts.
We recognise that success in mathematics depends upon more than completing calculations. Children need strong number sense, secure knowledge of mathematical facts, an understanding of mathematical relationships and the ability to reason, explain and solve problems.
Our approach therefore places particular importance on strong foundations, explicit teaching, carefully sequenced learning, concrete resources and deliberate practice.
We want essential mathematical knowledge and number facts to become increasingly automatic, freeing children to concentrate on reasoning, making connections and solving more complex problems.
Our mathematics curriculum brings together five connected priorities:
- Early Mathematics: Building strong foundations in number, counting, pattern, shape and mathematical language from Reception.
- Number Sense: Developing secure number relationships, additive fluency and flexible mathematical thinking.
- White Rose Maths: Providing carefully sequenced teaching that develops conceptual understanding, fluency, reasoning and problem solving.
- Multiplication Fluency: Developing secure multiplication and division facts through explicit teaching, regular retrieval and deliberate practice.
- Concrete Resources and Rekenreks: Making mathematical structures visible and supporting children’s progression towards confident, efficient mental calculation.
Together, these priorities provide a coherent approach to developing successful mathematicians from Reception through to Year 6.
1. Strong Foundations: Early Mathematics in Reception
Every Successful Mathematician Needs Strong Number Foundations
At The Oaks, we recognise that mathematical understanding begins long before children encounter formal written calculations.
Our Reception curriculum deliberately prioritises the foundational knowledge, experiences and mathematical language that children need to become confident mathematicians.
We recognise that children enter school with different experiences and starting points. Our approach therefore provides carefully planned opportunities to develop number sense, counting, pattern recognition and an understanding of mathematical relationships.
Through explicit teaching, purposeful play, practical exploration and regular opportunities to revisit learning, children develop secure early mathematical understanding.
Our early mathematics approach focuses on:
Counting and Cardinality
Children develop an understanding of counting principles, including stable number order, one-to-one correspondence and recognising that the final number counted represents the total quantity.
Subitising
Children learn to recognise small quantities without counting each object individually. Through structured visual representations, they begin to recognise familiar number arrangements and understand how numbers can be composed.
Number Composition
Children explore how numbers are made from smaller parts, developing an early understanding of number bonds and the relationships between quantities.
Comparison and Ordering
Children develop confidence in comparing quantities, recognising more and fewer, and understanding how numbers relate to one another.
Pattern and Mathematical Structure
Children identify, create and describe patterns, developing early reasoning and an awareness of mathematical relationships.
Shape, Space and Measure
Through practical experiences, children explore shapes, spatial relationships, size, capacity, length and other important mathematical concepts.
Mathematical Language and Oracy
Children are encouraged to describe, explain, compare and justify their thinking using increasingly precise mathematical vocabulary.
Our approach places particular emphasis on ensuring that children do not simply learn to recite numbers, but develop a genuine understanding of what numbers represent and how they relate to one another.
Our commitment: We give every child the strongest possible mathematical start by securing the foundational knowledge and number understanding upon which future learning depends.
2. Number Sense: Developing Fluency and Flexible Thinking
Understanding Numbers, Not Simply Remembering Answers
At The Oaks, we recognise that strong number sense is fundamental to mathematical success.
Our use of the Number Sense approach supports children in developing a deep understanding of number relationships, additive facts and efficient calculation strategies.
We want children to become confident and flexible with numbers, recognising patterns, making connections and choosing efficient approaches rather than relying solely on counting.
Through carefully structured teaching and regular practice, children develop:
- Number recognition and relationships: Understanding how numbers are composed, partitioned and connected.
- Subitising and visualisation: Recognising quantities and mathematical structures efficiently.
- Number bonds: Developing secure knowledge of key additive facts and their relationships.
- Mental calculation: Learning efficient strategies for addition and subtraction.
- Automatic recall: Increasing the speed and accuracy with which children retrieve essential number facts.
- Mathematical flexibility: Recognising that problems can be solved in different ways and selecting efficient strategies.
We recognise that fluency is developed through a combination of conceptual understanding, explicit teaching, meaningful repetition and deliberate practice.
Children are encouraged to move from counting-based methods towards increasingly efficient strategies, supported by clear representations and mathematical discussion.
Our aim is not simply for children to produce correct answers, but to understand the mathematical relationships that make those answers possible.
Making Time for Number Fluency
We deliberately prioritise regular opportunities for children to practise and revisit essential number facts.
Short, focused practice helps children strengthen recall, develop confidence and reduce the demands placed on working memory when tackling more complex mathematics.
This reflects our wider curriculum principle of protecting time for foundational knowledge and skills.
Our commitment: We develop children who understand numbers deeply, recall essential facts confidently and use mathematical knowledge flexibly.
3. White Rose Maths: Carefully Sequenced Teaching for Mastery
Building Understanding, Step by Step
Our mathematics curriculum is underpinned by White Rose Maths, providing a structured and carefully sequenced approach to teaching mathematical knowledge and skills.
White Rose Maths supports our commitment to developing secure understanding through small, connected steps that build progressively over time.
We recognise that successful mathematics teaching must balance three important elements:
Fluency
Developing secure knowledge of mathematical facts, procedures and efficient calculation methods.
Reasoning
Explaining mathematical thinking, recognising relationships, making generalisations and justifying conclusions.
Problem Solving
Applying mathematical knowledge to unfamiliar situations, selecting appropriate strategies and working systematically towards solutions.
Our teaching approach emphasises:
- Small, carefully sequenced steps: Building new knowledge upon secure prior understanding.
- Explicit teaching and modelling: Demonstrating mathematical concepts and methods clearly.
- Concrete, pictorial and abstract representations: Helping children understand mathematical structures before relying on symbols alone.
- Mathematical discussion: Encouraging children to explain, justify and compare approaches.
- Practice and consolidation: Providing sufficient opportunities to secure essential knowledge and skills.
- Challenge and depth: Encouraging children to make connections, reason and apply their learning in increasingly complex contexts.
We recognise that mastery is not simply about moving through curriculum content. It is about developing secure understanding that children can remember, explain and apply.
Where gaps in knowledge are identified, teaching is adapted to provide additional explanation, practice and support.
Our commitment: We teach mathematics in carefully connected steps, ensuring that children develop the understanding, fluency and confidence needed for future success.
4. Multiplication Fluency: Securing Essential Mathematical Facts
Learn It. Practise It. Recall It. Apply It.
We recognise that secure multiplication and division facts are essential for success in mathematics, particularly as children move into more complex calculations, fractions, proportions and problem solving.
At The Oaks, multiplication fluency is deliberately prioritised through explicit teaching, regular retrieval and carefully planned practice.
Our approach is designed to help children understand multiplication before developing increasingly rapid and accurate recall of multiplication facts.
We focus on:
Understanding Multiplication
Children explore multiplication through equal groups, arrays, repeated addition and structured representations, developing a secure understanding of what multiplication means.
Recognising Mathematical Relationships
Children learn to recognise commutativity, related multiplication and division facts, and connections between different times tables.
Developing Efficient Strategies
Children use known facts, doubling, halving and mathematical relationships to derive less familiar facts.
Deliberate Retrieval Practice
Regular opportunities to retrieve previously learned facts help strengthen retention and increase automatic recall.
Accuracy and Automaticity
Children develop the confidence and efficiency to recall multiplication and division facts without relying on repeated counting or lengthy calculations.
Applying Multiplication Knowledge
Secure multiplication facts support children’s understanding of division, fractions, factors, multiples, area and more advanced mathematical concepts.
Fluency That Supports Understanding
We recognise that knowing multiplication facts is not simply about speed.
Children need to understand the relationships behind the facts they learn and be able to apply them flexibly.
Through explicit teaching, structured practice and regular review, we aim to develop both secure understanding and increasingly automatic recall.
We want multiplication knowledge to become a reliable tool that children can draw upon confidently throughout their mathematical learning.
Our commitment: We prioritise multiplication fluency so that children have the essential knowledge needed to reason, calculate and solve problems with confidence.
5. Rekenreks and Concrete Resources: Making Mathematics Visible
See It. Understand It. Explain It.
At The Oaks, we recognise that children develop stronger mathematical understanding when they can see, explore and explain mathematical structures.
We place particular importance on the purposeful use of Rekenreks and other concrete mathematical resources to support the development of number sense, calculation and reasoning.
A Rekenrek is a structured counting frame that helps children visualise quantities and relationships, particularly through groups of five and ten.
Rather than relying on counting individual objects, children are encouraged to recognise number structures and develop increasingly efficient strategies.
Our use of Rekenreks supports:
- Subitising: Recognising quantities through structured arrangements.
- Number bonds: Visualising how numbers can be composed and partitioned.
- Part–whole understanding: Recognising relationships between numbers.
- Addition and subtraction: Developing efficient strategies and understanding how calculations work.
- Mental calculation: Moving from physical representations towards visualisation and increasingly fluent mental methods.
- Mathematical explanation: Encouraging children to describe what they notice and justify their thinking.
Concrete, Pictorial and Abstract Learning
Our approach follows the principle that children benefit from understanding mathematical concepts through different representations.
Concrete
Children use practical resources, including Rekenreks, counters, cubes, tens frames and other manipulatives, to explore mathematical structures.
Pictorial
Children use drawings, diagrams, number lines and visual representations to develop and communicate understanding.
Abstract
Children use mathematical symbols, equations and increasingly efficient written and mental methods.
We recognise that these representations are interconnected and that children may move between them as they develop understanding.
Concrete resources are not simply for younger pupils or those who find mathematics difficult. They are valuable tools for developing, explaining and deepening mathematical understanding across the school.
Our commitment: We make mathematical thinking visible, helping children develop secure understanding before progressing towards increasingly efficient and independent calculation.
6. Oracy 21: Explaining, Reasoning and Thinking Mathematically
Every Mathematician Needs a Voice
At The Oaks, oracy is one of the four core drivers of our curriculum and plays an essential role in mathematics.
Through our Oracy 21 approach, we deliberately develop children’s ability to explain their thinking, use mathematical vocabulary, reason logically and engage in purposeful mathematical discussion.
We believe that mathematical understanding is strengthened when children are encouraged to articulate how they know something, why a strategy works and whether an answer is reasonable.
Our approach provides opportunities for children to:
- Explain how they reached an answer.
- Describe mathematical patterns and relationships.
- Compare different calculation strategies.
- Justify their reasoning using appropriate mathematical vocabulary.
- Ask questions and challenge ideas respectfully.
- Identify and explain errors or misconceptions.
- Listen to alternative approaches and refine their own thinking.
Teachers explicitly model mathematical language and encourage children to communicate their ideas through structured discussion, sentence stems and purposeful questioning.
We recognise that talk is particularly important when introducing new concepts, exploring representations and developing reasoning.
Our aim is to ensure that children do not simply perform mathematical procedures, but understand and can explain the mathematics behind them.
Our commitment: We develop confident mathematical communicators who can explain, justify and apply their thinking.
Think It. Show It. Explain It. Prove It.
7. Mathematics Across the Curriculum: Meaningful Connections
Mathematics provides children with essential tools for understanding and interpreting the world.
At The Oaks, we recognise that mathematical knowledge and skills have important applications beyond mathematics lessons.
Our wider curriculum provides meaningful opportunities for children to apply mathematical understanding in different contexts.
For example:
- Science: Measuring, collecting data, identifying patterns and interpreting results.
- Geography: Using maps, scales, coordinates, statistics and geographical data.
- Design and Technology: Measuring accurately, exploring shape and applying mathematical reasoning to practical problems.
- Computing: Recognising patterns, exploring sequences and developing logical thinking.
- Physical Education: Measuring performance, interpreting results and exploring time, distance and statistics.
We recognise that cross-curricular mathematics must be purposeful and should strengthen rather than replace explicit mathematical teaching.
Our aim is to help children understand that mathematics is not simply something learned in a lesson, but a powerful tool for making sense of everyday life.
Our commitment: We provide meaningful opportunities for children to apply mathematical knowledge, make connections and recognise the importance of mathematics in the wider world.
8. Knowing Our Mathematicians: Assessment and Responsive Teaching
We recognise that children develop mathematical understanding at different rates and that effective teaching depends upon knowing what pupils understand and where gaps remain.
Our approach to assessment focuses on identifying secure knowledge, recognising misconceptions and responding purposefully to children’s learning needs.
We consider children’s development across:
- Foundational number knowledge and counting.
- Number sense and understanding of mathematical relationships.
- Recall of addition, subtraction, multiplication and division facts.
- Mathematical fluency and calculation efficiency.
- Conceptual understanding and use of representations.
- Reasoning, explanation and problem solving.
- Independence, confidence and application.
Through classroom discussion, observation, questioning, regular practice and assessment, teachers build an informed picture of children’s mathematical development.
Where children require additional support, we prioritise the essential knowledge and skills that will make the greatest difference.
This may involve additional modelling, targeted practice, revisiting earlier concepts or using concrete resources to strengthen understanding.
We recognise that assessment should lead to action. Our focus is not simply on identifying gaps, but on providing the teaching and practice needed to address them.
Our commitment: We identify misconceptions early, respond deliberately and provide every child with opportunities to develop secure mathematical understanding.
9. Developing Confident and Resilient Mathematicians
We want every child at The Oaks to develop a positive and confident relationship with mathematics.
We recognise that some children may experience uncertainty or anxiety when faced with mathematical challenges. Our approach therefore emphasises clear teaching, supportive relationships, appropriate challenge and opportunities to experience success.
We encourage children to:
- Approach mathematical challenges with curiosity.
- Recognise that mistakes provide opportunities for learning.
- Persevere when problems require additional thinking.
- Explain their ideas and learn from others.
- Take pride in developing fluency and understanding.
- Recognise their progress and growing independence.
Through our Crew Culture and our expectations to be Ready, Respectful and Responsible, we create classrooms where children feel confident to contribute, ask questions and explore different approaches.
We want children to see themselves as mathematicians and understand that mathematical success is developed through knowledge, practice, effort and effective teaching.
Our commitment: We nurture confident, curious and resilient mathematicians who believe in their ability to learn and succeed.
Our Mathematics Promise
At The Oaks Community Primary School, we believe that every child can become a confident, fluent and successful mathematician.
Our mathematics curriculum is built upon strong foundations, carefully sequenced teaching, deliberate practice and meaningful opportunities to reason and solve problems.
Our promise is built upon five connected priorities:
1. Strong Foundations from Reception
We prioritise early number understanding, counting, subitising, composition, pattern and mathematical language to give every child the strongest possible start.
2. Number Sense — Understanding and Fluency
We develop secure number relationships, efficient mental strategies and automatic recall of essential additive facts through structured teaching and regular practice.
3. White Rose Maths — Mastery Through Understanding
We use carefully sequenced teaching to develop fluency, reasoning and problem solving, ensuring that children build upon secure mathematical knowledge.
4. Multiplication Fluency — Learn, Retrieve, Apply
We prioritise the understanding and recall of multiplication and division facts through explicit teaching, deliberate practice and regular retrieval.
5. Rekenreks and Concrete Resources — Making Mathematics Visible
We use purposeful representations to help children visualise number relationships, explain their thinking and progress towards increasingly fluent calculation.
Oracy 21 connects every element of our approach, giving children the language and confidence to explain, reason, question and justify their mathematical thinking.
Together, these priorities ensure that mathematics is taught systematically, practised deliberately and applied meaningfully.
We want our children to leave The Oaks with the knowledge, confidence and independence to use mathematics successfully in school and throughout their lives.
Strong Foundations. Fluent Thinkers. Confident Problem Solvers.
Secure number knowledge gives children the foundations. Deliberate practice builds fluency. Deep understanding gives them the confidence to reason, solve problems and make a difference.
Together, our Crew makes a difference.