Maths at Sacred Heart Primary School
Maths Lead: Mr J Newbold
At Sacred Heart we are part of the ‘Central Maths Hub’ in England, who support the continuous improvement of mathematics education. We are currently adopting a Mastery Approach to mathematics.
What is Mastery Maths?
Inspired by teaching approaches developed in Singapore and Shanghai, mastery is an inclusive way of teaching that is grounded in the belief that all pupils can achieve in Maths. A concept is deemed mastered when learners can represent it in multiple ways, can communicate solutions using mathematical language and can independently apply the concept to new problems. For example, at Sacred Heart, we aim to teach children with concrete, pictorial and written/abstract examples of mathematical strategies. Teaching for mastery supports National Curriculum objectives, but spends more time reinforcing number and place value before progressing to more difficult areas of mathematics.
As a school, we have decided to develop a mastery approach for children from EYFS to Year 6. To support our development we follow Power Maths/White Rose Maths scheme of work.
The Concrete Pictorial Abstract (CPA) approach is a system of learning that uses physical and visual aids to build a child’s understanding of abstract topics.
Pupils are introduced to a new mathematical concept through the use of concrete resources (e.g. fruit, Dienes blocks etc). When they are comfortable solving problems with physical aids, they are given problems with pictures – usually pictorial representations of the concrete objects they were using.
Then they are asked to solve problems where they only have the abstract i.e. numbers or other symbols. Building these steps across a lesson can help pupils better understand the relationship between numbers and the real world, and therefore helps secure their understanding of the mathematical concept they are learning.
Concrete - children should have the opportunity to use concrete objects to help them understand what they are doing.
Pictorial - alongside this children should use the pictorial representations. These representations can then be used to help reason and solve problems
Abstract - both concrete and pictorial representations should support
What is Power Maths?
Power Maths is a resource that has been designed for UK schools based on research and extensive experience of teaching and learning around the world and here in the UK. It has been designed to support and challenge all pupils, and is built on the belief that EVERYONE can learn maths successfully.
How does this support our approach to teaching?
The philosophy behind Power Maths is that being successful in maths is not just about rote-learning procedures and methods, but is instead about problem solving, thinking and discussing. Many people feel they were taught maths in a way that was about memorising formulas and calculation methods, then having to apply them without any real understanding of what or how these methods actually work. Power Maths includes practice questions to help children develop fluent recall and develop their conceptual understanding. Power Maths uses growth mindset characters to prompt, encourage and question children. They spark curiosity, engage reasoning, secure understanding and deepen learning for all.
How will the lessons work?
Each lesson has a progression, with a central flow that draws the main learning into focus. There are different elements, informed by research into best practice in maths teaching, that bring the lessons to life:
- Discover – each lesson begins with a problem to solve, often a real-life example, sometimes a puzzle or a game. These are engaging and fun, and designed to get all children thinking.
- Share – the class shares their ideas and compares different ways to solve the problem, explaining their reasoning with hands-on resources and drawings to make their ideas clear. Children are able to develop their understanding of the concept with input from the teacher.
- Think together – the next part of the lesson is a journey through the concept, digging deeper and deeper so that each child builds on secure foundations while being challenged to apply their understanding in different ways and with increasing independence.
- Practice – now children practice individually or in small groups, rehearsing and developing their skills to build fluency, understanding of the concept and confidence.
- Reflect – finally, children are prompted to reflect on and record their learning from each session and show how they have grasped the concept explored in the lesson.
What if my child needs a confidence boost, or wants to be challenged further?
Power Maths is based on a ‘small-steps’ approach, sometimes called a mastery approach. This means that the concepts are broken down so that your child can master one idea without feeling over-whelmed. There are a range of fluency, reasoning and problem solving questions in each lesson that are designed to support the different needs and confidence levels within a class, while at the same time fostering a spirit of working and learning together. Each lesson includes a challenge question for those children who can delve deeper into a concept.
*Mastering Number - New For September 2021*
This project aims to secure firm foundations in the development of good 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.