Maths with the National Curriculum
Mathematics is a creative and highly interconnected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment.
A high-quality mathematics education therefore provides a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics, and a sense of enjoyment and curiosity about the subject. (National Curriculum, 2014).
At Valley View we believe that all of our pupils can achieve in mathematics. We believe that at each stage of learning, children should be able to demonstrate deep, conceptual understanding of a topic and build on this over time. We want children to be able to not only become fluent and use the maths taught but to also be able to transfer and apply it in different contexts, being able to explain, prove, reason and problem solve.
Instead of learning mathematical procedures by rote, we want children to build a deep conceptual understanding of concepts which will enable them to apply their learning in different situations. We aim to provide a range of reasoning and problem solving activities which are weaved throughout each aspect of mathematics and help give it a real life context. This helps children to think critically, look at all of the possibilities, identifying patterns and rules which they can apply to other contexts.
Through mathematical talk, children will develop the ability to articulate, discuss and explain their thinking. We aim to expose all of our children to the correct mathematical language in order for children to learn and understand how to communicate mathematically, which supports our ‘cultural capital’ curriculum intent.
We aim to provide the children with the necessary resources to allow all children to access the curriculum and encourage them to use this where appropriate to explain their logic and reasoning.
In Early Years, mathematics involves providing children with opportunities to develop and improve their skills in counting, understanding and using numbers, calculating simple addition and subtraction problems; and to describe shapes, spaces, and measure.
In EYFS our long term plan is in line with new Early Years Development matters framework. We include elements of shape, space and measure in our plans as these are key steps towards progressing through our whole school maths journey. Our planning is supported by the NCTEM programme and the Mastering Number programme.
Across our school, in order to fulfill our curriculum intent ensuring that every child gains a deeper conceptual understanding of a topic we aim to ensure our maths lessons are broad and balanced, allowing the opportunity to explore mathematical concepts in depth. To inspire children to be future mathematicians we provide mathematical experiences that engage the children and make them want to develop their learning further.
From Year 1 to Year 6 we use White Rose Hub schemes of learning as a guideline for our medium and long term plans. We follow the White Rose Hub small steps and objectives to inform our planning ensuring that teaching is engaging and relevant to real life. Teachers provide activities which allow children to practice their fluency, reasoning and problem solving in every lesson through thought provoking-questions, arithmetic starters, misconception activities and through the main task they are set. Reasoning is evident in everything we do in maths and children encouraged are expected to prove they understand a concept, either verbally or through writing.
We use the NCETM ready-to-progress criteria resources alongside our WRH scheme to ensure our children meet the intended goals for the end of each year. We use this criteria for small group work and intervention to stimulate interaction and discussion ensuring sessions are guided by pupil responses and metacognitive reinforcement. We also use this criteria at the start of blocks for children who may need to practice and consolidate learning from the previous year.
Across Reception and KS1, we have implemented a new and exciting Mastering Number maths project. This project aims to secure firm foundations in the development of a secure number sense for all children from Reception through to Year 1 and Year 2. The aim over time is that children will leave KS1 with fluency in calculation and a confidence and flexibility with number. Attention will be given to key knowledge and understanding needed in Reception classes, and progression through KS1 to support success in the future.
Mastering Number is a new programme offered to schools by the National Centre for Excellence in the Teaching of Mathematics (NCETM) and the Maths Hubs Network. It aims to develop solid number sense, including fluency and flexibility with number facts, which will have a lasting impact on future learning for all children. It also involves high quality professional development for teachers.
In Reception we use the mastering number programme as part of our daily maths lessons and support this with the NCETM and Development Matters objectives to secure the full breadth of curriculumn coverage.
In Year 1 and Year 2 the project is delivered by our teachers who deliver a daily session of 10 to 15 minutes in addition to their daily maths lesson.
We use the provided resources such as: lesson plans, visual resources and practical equipment to ensure consistency with the training our staff have received. Central to the programme is a small, abacus-like piece of equipment called a rekenrek, which is provided to the school to use.
At Valley View we have decided to implement this program in school with the intention of strengthening our children’s understanding of early number. Our aim is to provide our children with the automaticity, rapid recollection and confidence with basic number facts e.g. subitising, number bonds within 20, odd and even, addition and subtraction, enabling our children to enter KS2 with these key fundamental strategies solidified within their long term memory.
Maths curriculum links in the wider curriculum
To help embed the real life context of mathematics, we have made sure to provide meaningful opportunities to link maths throughout our broad and balanced curriculum. In history, children gain a sense of time. Through looking at people and events in the past, children develop a sense of chronology by using vocabulary relating to the passing of time and plotting events on a timeline. Within science and geography, there are strong links to statistics. Children hypothesise, gather and analyse data such as sorting categories into Venn and Carroll diagrams and recording data on bar charts and pie charts.
Teaching staff and support staff use a wide range of formative assessment tools during the lesson to judge the impact that the teaching is having on the children’s learning. Where it is evident that children have not developed a deep understanding of a concept, they will receive immediate intervention and/or verbal feedback. This is a chance for the children to work individually or in a small group; exploring the concept further and addressing any misconceptions that may have arisen. We identify children who would benefit from pre-teach intervention and where appropriate a concept is introduced to them in preparation for the next lesson. This approach is designed to allow the children to ‘keep up’ with their learning rather than having to ‘catch up’ and has a positive impact on the learning taking place.
To further measure the impact of maths teaching and learning we have introduced summative assessments at the end of each term. These assessments are designed to cover all of the work that has been covered during that term. This is a helpful tool to measure how deep the children have learned a concept when it is assessed out of context and at a later date to the initial teacher input. Question level analysis of these tests is then completed to measure impact and help inform intervention planning for the next term.
As a school we strive to ensure that our children’s attainment is in line, or exceeds, their potential when we consider the varied starting points of all our children. We measure this using a range of materials, whilst always considering the age-related expectations for each year group. Children will make at least good progress in Maths from their last point of statutory assessment and from their starting point in EYFS. We intend the impact of our Maths curriculum will ensure our pupils are academically prepared for life beyond primary school and throughout their educational journey. Through scrutiny of planning, lessons and books, we can be sure that progress is made across all year groups. If progress is not being made, support is immediate and steps are provided to ensure all pupils achieve and make progress.