Mathematics Learning Journey

At Park Hall Academy our teaching approach is based upon the mastery model. We believe ALL children can achieve in and enjoy mathematics.

We are committed to delivering mathematics in innovative ways that link to real-life experiences. Stimulating curiosity, empowering children to reach their full potential and equipping all with the skills they need in life.

Mathematics is a creative and highly connected discipline, used to analyse and communicate information and ideas.

Our aim is to ensure children appreciate the beauty and power of mathematics.

Numbers are magic, they keep the world spinning, they don’t have an end, or a beginning!

Our Curriculum Offer:

Our children will become mathematicians through the use of the DfE approved ‘Power Maths’ scheme which is fully aligned with the White Rose Maths Hub scheme. Our maths curriculum, which meets the objectives guided by the National Curriculum for Maths, is planned in small steps to allow for deeper understanding and allows children to review prior learning in order for them to see that Mathematics is a creative and highly inter-connected discipline.

Our teaching approach is based upon the mastery model. Children working at mastery can: recall rapidly and accurately mathematical facts; make connections between concepts; use a variety of representations to demonstrate understanding and articulate fully in discussion “how” they have calculated rich and sophisticated problems.

This is achieved through ensuring the 5 big ideas in teaching for mastery are incorporated into lesson design. Our children will use the concrete pictorial abstract approach using physical and visual aids to build their understanding of abstract concepts- recognising the power of thinking not just doing, which in turn will allow all to see patterns and make connections. Children will think about, reason with and discuss with others their mathematical thinking. They will work on different representations of the same mathematical idea, showcasing to our children the different conceptual ideas that underpin a concept and gain a deeper understanding through procedural variation.

Mathematics has provided 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. We aim to provide a high-quality mathematics education that will provide for our children 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.

We believe maths nurtures the development of a logical and methodical mindset and gives children incredible tools to help them to understand the world. It can open doors for our children in a dazzling array of fields, such as engineering, physics, architecture, medicine and business, and literally transform lives.

Intent

  • We aim to ensure that our mathematicians are able to think, communicate (using stem sentences and subject specific vocabulary to articulate their understanding) and be expert mathematicians.
  • We seek to develop expert mathematicians who are excited and enthused by an ambitious curriculum which enables them to know more, learn more and remember more. We seek to inspire our mathematicians along their maths mastery journey. Our mathematicians will read to learn across the curriculum, enhancing their subject specific vocabulary. We have the highest expectations that ALL learners access the full curriculum offer and that in Mathematics – EVERYONE CAN.
  • We aim for our mathematicians to be proficient in core knowledge which they recall with speed and accuracy. They will develop proficiency, fluency and accuracy to reduce cognitive overload.
  • For our learners to progress from novice to expert mathematicians, we aim to develop their automatic recall of core facts (declarative knowledge- ‘I know that’), to make connections between concepts (procedural knowledge- ‘I know how’) and to reason and solve problems (conditional knowledge ‘I know when’).
  • We aim for our mathematicians to have a secure understanding of number and representations. Mathematicians will subitise, knowing for example “the oneness of one”.
  • We aim for our mathematicians to be competent, reasoned problem solvers.
  • Our mathematicians will make connections and recognise relationships between known facts and operations.

Implementation

Our inspiring and aspirational Mathematics curriculum (based on the National Curriculum) is meticulously planned to enable learners to master key foundational knowledge and learn from consistent patterns in maths. We have carefully identified the knowledge and skills that our mathematicians will acquire. Each small step in our mathematicians journey has been carefully planned to ensure a challenging and progressive curriculum to meet the needs of all learners.

Mathematicians will regularly revisit key concepts (over learning) and engage in regular retrieval practice which builds upon prior knowledge and enables them to make connections to deepen their understanding of new learning, committing this to long term memory.

Efficient, accurate recall of key number facts and procedures is essential for fluency, freeing pupils’ minds to think deeply about concepts and problems, but fluency demands more than this. It requires pupils to have the flexibility to move between different contexts and representations of mathematics, to recognise relationships and make connections, and to choose appropriate methods and strategies to solve problems. Mathematicians develop efficient, accurate and clear methods for the four operations, enabling them to present written methods neatly and logically to reduce the risks of accidental errors. A progressive calculation policy ensures consistency along our mathematicians learning journey, reducing misconconceptions.

Explicit teaching draws close attention to a key feature of a mathematical concept or structure through varying some elements while keeping others constant. Our progressive curriculum ensures that mathematicians are exposed to conceptual variation which involves varying how a concept is represented to draw attention to critical features. Learners often experience more than one representation to examine a concept from different perspectives and deepen and secure mathematical knowledge.

The small step, progressive curriculum identifies how mathematicians will ‘proceed’ through a learning sequence. Questions are carefully selected and structured to develop procedural variation. Purposeful changes are made in order that pupils’ attention is drawn to key features of the mathematics, scaffolding students’ thinking to enable them to reason logically and make connections. Variation leads to intelligent practice as learners active hard thinking and make connections which deepen learning.

Mathematical thinking is central to how pupils learn mathematics which includes looking for patterns and relationships, making connections, reasoning, and generalising. Pupils should actively engage in mathematical thinking in all lessons, communicating their ideas using precise mathematical language. Learners reason mathematically by following a line of enquiry and making connections which will enable them to justify and use the ‘prove it’ strategy to articulate their mathematical thinking.

Mathematicians will solve problems by applying their knowledge to a variety of increasingly complex and sophisticated real life problems. Explicit teaching enables mathematicians to break down problems into a series of smaller steps and persevere in seeking solutions. Problems solving is taught alongside currriculum content to enable mathematicians to develop their conceptual understanding.

Teachers carefully select representations of mathematics to expose mathematical structure. The intention is to support pupils in ‘seeing’ the mathematics, rather than using the representation as a tool to ‘do’ the mathematics. Mathematicans must hold maths in their hands before they can hold it in their heads. Maths toolkits and a range of manipulatives support learners and enable them to move from concrete, pictoral and abstract representations. These representations become mental images that students can use to think about mathematics, supporting them to achieve a deep understanding of mathematical structures and connections. Our mathematicians use a variety of representations to demonstrate understanding and articulate “how” they have calculated rich and sophisticated problems.

Scaffolding, through the innovative use of technology and explicit teaching, exposes mathematicians to efficient and effective models to support their understanding. Mathematicians are able to hear the teachers thinking and can access these scaffolds independently to retrieve and rehearse. Use of expert mathematicians support learners in developing a deep and secure understanding of core knowledge and facts. Regular practise and retrieval enables coherent learning progression through the curriculum, providing access for all pupils to develop a deep and connected understanding of mathematics that they can apply in a range of contexts.

Impact

Our learners appreciate the power of mathematics and share a sense of curiosity about the real-life mathematical problems they solve.

Mathematicians enhance their mathematical knowledge and skills as they develop their fluency, proficiency and accurate recall of number facts and make connections between concepts, using a variety of representations to demonstrate their understanding. Learners use their mathematical toolkits as they move from concrete, pictoral and abstract representations, holding maths in their hands before holding it securely in their heads. In mathematics, EVERYONE CAN achieve as they are effectively supported through carefully sequenced small step progressive teaching and learn through their marvellous mistakes.

OUR MATHEMATICIANS TICKET. AN OVERVIEW OF KNOWLEDGE AND SKILLS, EXPERIENCES AND OPPORTUNITIES, MATHEMATICIANS WILL ENCOUNTER ON THEIR JOURNEY FROM NOVICE TO EXPERT.

Support For All

Our Values Are At The Heart Of Everything We Do

Honesty

Being honest is important as it builds trust and strengthens relationships. Strong and positive relationships between all members of the Park Hall family are paramount to our wellbeing.

Enjoyment

Our learning journey promotes excitement and enthusiam for learners. Our children are immersed in a curriculum which develops curiosity, through innovative and creative experiences.

Achievement

We have the highest aspirations for all and are passionate about empowering and enabling our children to develop a real love of learning and see their futures as full of possibilities.

Respect

Everyone is valued for the unique individual that they are. Together we actively promote inclusion to prepare our children to play their part as active global citizens who share a belief that difference is a positive to be embraced and celebrated.

Teamwork

Together everyone achieves more. Team Park Hall work together to support all members of our very special school family.