Mathematics

At Coltishall Primary School, we want every child to become a confident, fluent and thoughtful mathematician.

Our Mathematics curriculum develops children's ability to calculate fluently, reason mathematically, solve problems and communicate their mathematical thinking clearly.

We believe that all children can develop as mathematicians. Teaching therefore combines high expectations with carefully chosen representations, questioning, scaffolding and timely support so that pupils can access new learning and deepen their understanding.

Fluency, Reasoning and Problem-Solving

Our curriculum develops three closely connected aspects of Mathematics:

• fluency – developing secure knowledge of number facts, relationships and efficient methods;

• reasoning – explaining, justifying and making connections;

• problem-solving – applying knowledge and selecting appropriate strategies in familiar and unfamiliar situations.

These strands are taught together rather than as separate parts of Mathematics.

Children are encouraged not simply to find an answer but to explain how they know, why a method works and whether another approach might also be possible.

Building Secure Number Knowledge

A deep understanding of number provides the foundation for later Mathematics.

Children progressively develop their knowledge of number and place value, calculation, fractions, decimals and percentages, measurement, geometry and statistics.

Important number relationships and facts are explicitly taught and regularly revisited so that pupils can recall and apply them with increasing automaticity.

Multiplicative Fluency

Developing strong multiplicative knowledge is an important part of Mathematics at Coltishall.

Our multiplicative fluency programme helps children build secure connections between multiplication and division facts rather than learning each fact in isolation.

Children learn to use known facts to derive others through strategies such as doubling, halving and recognising mathematical relationships.

Regular practice continues through Key Stage 2, supported by Times Tables Rock Stars, classroom teaching and targeted practice.

Our aim is for children to develop both accuracy and automaticity, enabling multiplication knowledge to support increasingly complex Mathematics.

Mathematical Reasoning

Reasoning is deliberately made visible within our curriculum.

Children regularly explain their thinking, compare methods, identify patterns, spot errors and justify conclusions.

Teachers use mathematical questioning and representations to encourage children to think deeply rather than simply complete procedures.

Pupils learn to use mathematical evidence and appropriate vocabulary to explain why an answer or approach is correct.

Mathematical Oracy and Language

Talking about Mathematics is an important part of learning Mathematics.

We explicitly develop mathematical oracy and language, giving children opportunities to rehearse ideas, explain methods, question one another and use increasingly precise mathematical vocabulary.

Teachers model mathematical language and sentence structures and encourage pupils to communicate complete mathematical ideas.

This helps children organise their thinking as well as allowing teachers to identify what pupils genuinely understand.

Problem-Solving

Children are regularly challenged to apply their knowledge to problems.

They learn to identify relevant information, select a strategy, represent a problem mathematically, test possibilities and consider whether their answer is reasonable.

Visual representations, including approaches such as bar modelling, help children understand mathematical relationships and tackle increasingly complex problems.

We value depth over simply moving on to harder content, giving children opportunities to explore ideas more deeply and make connections.

An Inclusive Mathematics Curriculum

A central priority at Coltishall is ensuring that Mathematics is accessible and ambitious for every learner.

Teachers use assessment to identify pupils who need additional support as well as those requiring greater depth and challenge.

Teaching may be adapted through:

• carefully chosen representations and manipulatives;

• small-step teaching;

• scaffolding;

• questioning;

• additional modelling;

• targeted practice;

• intervention and arithmetic groups.

We pay particular attention to pupils and groups who may otherwise be underserved, using assessment and monitoring to ensure that barriers do not prevent them from succeeding in Mathematics.

Support is designed to enable pupils to participate in the same ambitious curriculum wherever possible.

Assessment and Feedback

Assessment is used to understand what children know and what they need to learn next.

Teachers use questioning, pupil work, discussion and formative assessment throughout lessons to adapt teaching.

We also use White Rose Mathematics assessments, which provide standardised information that helps us identify strengths, gaps and patterns within classes and cohorts.

Assessment information informs classroom teaching, intervention and additional arithmetic or fluency practice.

Feedback in Mathematics is designed to help children understand misconceptions, improve their work and take the next step in their learning.

Practising Number Facts

Regular practice helps important mathematical knowledge become automatic.

NumBots supports the development of early number fluency and calculation, while Times Tables Rock Stars supports multiplication and division fluency.

Teachers also use information from these programmes to identify patterns and areas requiring further teaching or practice.

These resources complement, rather than replace, direct Mathematics teaching.

Mathematics in the Early Years

Mathematical understanding begins in Reception through a combination of practical experience, play, conversation and explicit teaching.

Children explore number, pattern, shape, space and measure using objects, images and meaningful situations.

Adults encourage children to notice relationships, explain their thinking, compare quantities and explore different ways of solving problems.

These experiences establish the secure number sense and mathematical language on which later learning is built.

Working with Families

We want parents and carers to understand how Mathematics is taught and how they can support learning at home.

Our Maths Cafés give families opportunities to work alongside their children, experience classroom approaches and explore mathematical activities together.

Through school and home working together, we want children to see Mathematics as something they can understand, talk about and succeed in.