Mathematics
Mill Lane Primary School
Maths
Intent, Implementation and Impact statement
Intent:
In line with the National Curriculum Objectives for Mathematics, our intent is that all pupils:
- become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately
- reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language
- can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions
Mathematics is an interconnected subject in which pupils need to be able to move fluently between representations of mathematical ideas. The programmes of study are, by necessity, organised into apparently distinct domains, but pupils should make rich connections across mathematical ideas to develop fluency, mathematical reasoning and competence in solving increasingly sophisticated problems. They should also apply their mathematical knowledge to science and other subjects.
Central to our approach are the 5 Big Ideas which underpin mastery in mathematics.
Curriculum Implementation
At Mill Lane, children study mathematics daily following the White Rose Maths Scheme of Learning, which allows for depth and breadth of learning within each strand of mathematics.
Hallmarks of our Mastery Approach
- Concrete, Pictorial and Abstract Learning: Children engage with a wide and varied range of concrete manipulatives, pictorial representations and abstract methodologies within each session. Cohesive use of CPA is a fundamental part of mastery in mathematics for all learners, not just those pupils with SEND. Concrete and pictorial references scaffold and strengthen understanding and are widely used as a teaching and learning tool from Foundation Stage to Year 6.
- Fluency, Reasoning and Problem Solving: Every learning session includes the opportunity to develop fluency skills, construct chains of reasoning using relevant knowledge alongside relevant terminology and solve increasingly complex problems in a systematic and coherent way.
- Mathematical Vocabulary: Sessions include explicit reference to vital mathematical vocabulary and the use of stem sentences to support and encourage all children to communicate their ideas with mathematical precision and clarity. These sentence structures often express key conceptual ideas or generalities and provide a framework to embed conceptual knowledge and build understanding.
- Fluent Recall: We are committed to ensuring that pupils secure their knowledge of Times Tables and Related Divisional Facts by the end of Year 4. Our pupils engage in regular low stakes testing through Times Tables Rock Stars to practice fluent recall.
EYFS
At Mill Lane we understand the importance of early experiences of maths, and have committed to the Birth to Five matters document within our Early Years setting.
This approach places a significant emphasis on developing a strong grounding in number – understanding that this is a necessary building block for children to excel in the subject.
The two key ELG’s for mathematics are:
- Number: Number composition, subitising, recall of bonds to 5 and 10 and doubling
- Numerical Pattern: Verbally count beyond 20, Compare quantities, explore and represent patterns
Practitioners provide creative and engaging opportunities for children to ignite their curiosity and enthusiasm for the subject, while focusing on the three prime areas of: Communication and Language, Physical Development and PSED.
Activities and experiences are frequent and varied, and allow children to build on and apply understanding of Numbers to 10. Concrete manipulatives are a key focus within sessions, as is the use of pictorial representations including Tens Frames and Part/Whole Models.
Children are actively encouraged to use mathematical terminology within their understanding, with a focus on developing positive attitudes and interest in the subject.
At Mill Lane, we understand the importance of our younger children having an excellent understanding of Number Fluency. Therefore, our Reception, Year 1 and Year 2 all access the Mastering Number Programme run by the NCTEM daily. This programme is giving our children a much more secure understanding of Number Fluency and strategies to help them within their mathematics.
Curriculum Impact
At Mill Lane, the expectation is that the majority of pupils will move through the programmes of study at broadly the same pace. We aim for each child to be confident in each yearly objective and develop their ability to use this knowledge to develop a greater depth understanding to solve varied fluency problems as well as problem solving and reasoning questions.
However, decisions about when to progress should always be based on the security of pupils’ understanding and their readiness to progress to the next stage. Pupils who grasp concepts rapidly are challenged through rich and sophisticated problems before any acceleration through new content. Those who are not sufficiently fluent with earlier material consolidate their understanding, including through additional practice, before moving on. Where necessary, earlier material should consolidate their understanding, including through additional practice, before moving on.
A mathematical concept or skill has been mastered when a child can show it in multiple ways, using the mathematical language to explain their ideas, and can independently apply the concept to new problems in unfamiliar situations.
– Children demonstrate quick recall of facts and procedures. This includes the recollection of the times tables. – The flexibility and fluidity to move between different contexts and representations of mathematics. – The ability to recognise relationships and make connections in mathematics. – Children show confidence in believing that they will achieve. – Children show a high level of pride in the presentation and understanding of the work
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Formative Assessment: Teachers carry out formative assessment through AfL in each session and feedback is given to children verbally, through self/peer assessment and through marking.
Teachers then use this assessment to influence their planning. Children are rapidly identified as needing further challenge or additional support, and we ensure that this is provided in a timely manner.
Timely Interventions: Teachers believe that all children can achieve in maths, and focus on whole class teaching. Where prerequisites are not secure, timely interventions will be carried out. We understand that catch-up does not work, and as a consequence our interventions are focused on Pre-Teaching and Same Day Interventions.
As a school, we invest in targeted therapies and interventions to secure and develop knowledge and teach gaps using PiXL. Following forensic diagnostics, teachers and Teaching Assistants access suitable therapies for whole class and small group teaching to ensure that all children reach their full potential.
Summative Assessments:
Our Assessment Calendar includes 3 key dates for capturing progress and attainment against National Curriculum Objectives. Assessments are carried out in Autumn, Spring and Summer terms, and are from PiXL.