plavalmat® Maths Place Value Resources by Oakfield Learning
plavalmat® Maths Place Value Resources by Oakfield Learning
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  • Maths Curriculum
    • Maths Ages 3-5 (EYFS)
    • EYFS Maths Topics
    • Maths Ages 5-6 (Year 1)
    • Year 1 Maths Topics
    • Maths Ages 6-7 (Year 2)
    • Year 2 Maths Topics
    • Maths Ages 7-8 (Year 3)
    • Year 3 Maths Topics
    • Maths Ages 8-9 (Year 4)
    • Year 4 Maths Topics
    • Maths Ages 9-10 (Year 5)
    • Year 5 Maths Topics
    • Maths Ages 10-11 (Year 6)
    • Year 6 Maths Topics
    • Maths Age 11-14 Years 7-9
  • Information for Parents
    • Maths Mastery Curriculum
    • How to Help with Maths
    • How is Maths Assessed
    • What is White Rose Maths
    • What Is Power Maths
    • Maths Manipulatives
    • Maths Representations
    • Maths Vocabulary
    • USEFUL MATHS WEBSITES
  • SOCIAL MEDIA
  • More
    • Home
    • plavalmat® Products
      • The plavalmat® Range
      • Place Value Mats
      • Place Value Counters
      • Base Ten
      • DOTS+TODS™
      • Custom/International
      • Safety/Care Instructions
      • Sustainability
      • WHERE TO BUY plavalmat®
    • Maths Curriculum
      • Maths Ages 3-5 (EYFS)
      • EYFS Maths Topics
      • Maths Ages 5-6 (Year 1)
      • Year 1 Maths Topics
      • Maths Ages 6-7 (Year 2)
      • Year 2 Maths Topics
      • Maths Ages 7-8 (Year 3)
      • Year 3 Maths Topics
      • Maths Ages 8-9 (Year 4)
      • Year 4 Maths Topics
      • Maths Ages 9-10 (Year 5)
      • Year 5 Maths Topics
      • Maths Ages 10-11 (Year 6)
      • Year 6 Maths Topics
      • Maths Age 11-14 Years 7-9
    • Information for Parents
      • Maths Mastery Curriculum
      • How to Help with Maths
      • How is Maths Assessed
      • What is White Rose Maths
      • What Is Power Maths
      • Maths Manipulatives
      • Maths Representations
      • Maths Vocabulary
      • USEFUL MATHS WEBSITES
    • SOCIAL MEDIA

  • Home
  • plavalmat® Products
    • The plavalmat® Range
    • Place Value Mats
    • Place Value Counters
    • Base Ten
    • DOTS+TODS™
    • Custom/International
    • Safety/Care Instructions
    • Sustainability
    • WHERE TO BUY plavalmat®
  • Maths Curriculum
    • Maths Ages 3-5 (EYFS)
    • EYFS Maths Topics
    • Maths Ages 5-6 (Year 1)
    • Year 1 Maths Topics
    • Maths Ages 6-7 (Year 2)
    • Year 2 Maths Topics
    • Maths Ages 7-8 (Year 3)
    • Year 3 Maths Topics
    • Maths Ages 8-9 (Year 4)
    • Year 4 Maths Topics
    • Maths Ages 9-10 (Year 5)
    • Year 5 Maths Topics
    • Maths Ages 10-11 (Year 6)
    • Year 6 Maths Topics
    • Maths Age 11-14 Years 7-9
  • Information for Parents
    • Maths Mastery Curriculum
    • How to Help with Maths
    • How is Maths Assessed
    • What is White Rose Maths
    • What Is Power Maths
    • Maths Manipulatives
    • Maths Representations
    • Maths Vocabulary
    • USEFUL MATHS WEBSITES
  • SOCIAL MEDIA

What is the Maths Mastery Curriculum?

What is Maths Mastery?

Following the methods adopted in schools in cities such as Shanghai and Singapore, who are well-known for their high standards in teaching and learning of mathematics, the Department for Education (DfE), National Centre for Excellence in the Teaching of Mathematics (NCETM) and OFSTED encouraged schools to teach ‘maths mastery’ in order to raise standards in the UK.


AIMS

The aims of the Mastery Curriculum are for pupils to develop fluency, the ability to reason mathematically, to solve problems and apply this to other real-life situations.  In order to do this, children need to acquire a long-term, secure and adaptable understanding of maths.


WHAT WAS THE PROBLEM?

The maths mastery curriculum is an improvement to the previous linear style where pupils would move on quickly from one concept to the next.  Whilst this may have resulted in children who were 'fluent' in maths and could calculate quickly, they would find problem solving difficult and if an answer was wrong they may not have understood why.


GROWTH MINDSET

A greater emphasis is now placed on pupils explaining how they solved a problem and giving reasons to support this.  Children are encouraged to develop a ‘Growth Mindset’ as they learn from the mistakes they make and, rather than feeling defeated in not understanding something and getting it wrong, pupils have the opportunity to explore the errors or misunderstandings and have another go.  This results in a more positive attitude towards their learning, the ability to rise to challenges and ultimately a more secure understanding.


LEARNING TOGETHER

The Maths Mastery approach is based on whole-class teaching where all pupils work together to learn mathematical concepts through activities, questioning and discussions. 


Pupils are encouraged to demonstrate and explain their understanding, starting with the basics, to form the foundations needed to ‘master’ it before logically progressing on to the next topic.   After all, it is better to get a secure footing, before rushing on to the next rung of the ladder.


DIFFERENTIATION?

In the mastery curriculum, pupils learn at the same pace and move on together.    This gives those who may be struggling more time to develop their understanding. At the same time, other children who have grasped things more quickly, have the opportunity to study the same content in greater depth, solving more complex and challenging tasks and applying what they have learnt to different situations.  Teachers therefore can plan lessons and activities that all children in the class will access, rather than planning different activities for different children.


DfE's READY TO PROGRESS CRITERIA

In June 2020, the DfE and NCETM published non-statutory mathematics guidance for KS1 and KS2 to bring a more coherent linked framework to be used alongside the national curriculum.   The guidance does not focus on the whole of the primary curriculum, but only the key areas that have been identified as a priortity.  The NCETM consider that if all criteria are taught and met, a child understands these, they will be able to access many other elements of the curriculum more easily. 

They identified these as Ready-to-Progress criteria and can be seen as goals children need to be able to reach at the end of each year in order to make good progress in maths in years 1 to 6.

What is the CPA approach?

Resources are an essential part of the mastery curriculum and pupils should be provided with differentiated support and equipment to help them to grasp mathematical concepts.


The Concrete Pictorial Abstract (CPA) approach helps children to understand more abstract maths topics in the maths mastery curriculum by using physical and visual resources to scaffold their learning.  


The schemes of work by White Rose Maths closely follow the CPA approach and support the teaching and learning of the maths mastery curriculum in both primary and secondary school.  Using place value resources is an essential part of the learning process to help children develop concrete understanding.

concrete resource example showing 3+1 with 3 orange cubes and 1 black cube

CONCRETE

PICTORIAL

PICTORIAL

Children are first introduced to a new concept in the maths mastery curriculum by using concrete resources.  


These are physical objects that can be seen and interacted with to help them understand what they are doing in order to solve problems (e.g. objects in the classroom/home, or maths manipulatives such as the following place value re

Children are first introduced to a new concept in the maths mastery curriculum by using concrete resources.  


These are physical objects that can be seen and interacted with to help them understand what they are doing in order to solve problems (e.g. objects in the classroom/home, or maths manipulatives such as the following place value resources: numicon, Dienes (Base Ten), maths cubes, counters etc). 

pictorial representation of 3 cubes plus one cube

PICTORIAL

PICTORIAL

PICTORIAL

After they are confident with using concrete apparatus, children then are given pictures that represent objects (pictorial representations) to help them reason and solve problems.

The numbers Three plus 1 equals 4

ABSTRACT

PICTORIAL

ABSTRACT

Finally, children are introduced to more abstract concepts where numbers, words or symbols are used instead of concrete or pictorial aids.

What maths do children learn in each year group?

Age 3-5

Age 3-5

Age 3-5

Age 5-6

Age 3-5

Age 3-5

Age 6-7

Age 3-5

Age 6-7

Age 7-8

Age 3-5

Age 6-7

Age 8-9

LOOKING FOR TOP TIPS TO HELP CHILDREN WITH MATHS AT HOME?

Age 9-10

Age 9-10

LOOKING FOR TOP TIPS TO HELP CHILDREN WITH MATHS AT HOME?

Age 9-10

Age 10-11

LOOKING FOR TOP TIPS TO HELP CHILDREN WITH MATHS AT HOME?

LOOKING FOR TOP TIPS TO HELP CHILDREN WITH MATHS AT HOME?

LOOKING FOR TOP TIPS TO HELP CHILDREN WITH MATHS AT HOME?

LOOKING FOR TOP TIPS TO HELP CHILDREN WITH MATHS AT HOME?

LOOKING FOR TOP TIPS TO HELP CHILDREN WITH MATHS AT HOME?

We have created an in-depth guide for parents to give lots of practical ways to support your child with maths

PARENT GUIDE: HOW CAN I HELP MY CHILD WITH MATHS?
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Oakfield Learning

Oakfield Learning’s plavalmat® range of maths place value resources, place value mats; place value counters; and Base Ten, have been designed to be used in a wide range of maths topics with other concrete maths manipulatives commonly used in primary schools.   Our place value mats and counters have been designed to match the colour coding of the White Rose Maths and Power Maths Schemes of Learning to support the teaching and learning of the maths mastery curriculum.

Our plavalmat® products
White Rose Maths home

White Rose Maths

The White Rose Maths schemes of learning have a wide range of excellent resources to support the maths mastery curriculum.  The home-learning videos and online training demonstrate how concrete maths equipment can be used to teach new concepts. Their workbooks and other resources help children to progress from concrete, pictorial to abstract.

Learn more


*Oakfield Learning is part of the Amazon Associates program and may earn commission from purchases made through links on our website and social media.  

We are highly selective and will only promote programs, products and/or services we feel would be aligned with our own or we consider are beneficial to supporting the teaching and learning of mathematics.  For more information, please read our disclaimer


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