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Mathematics

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At Danson, we believe that mathematical success is possible for all. As a school, we follow the White Rose Hub planning scheme to ensure that learning is taught in blocks to allow for deeper learning. Maths lessons will include the use of concrete materials, pictorial representations, varied fluency, reasoning and problem solving to ensure that children are able to master the curriculum. This process enables children to think mathematically within each concept so that they can independently apply their learning to a new problem in an unfamiliar situation.

 

The National Curriculum for Mathematics aims to ensure 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.

 

CPA

During maths lessons, we have been using the CPA (Concrete, Pictorial, Abstract) approach of learning to develop a deep understanding of maths as part of mastery learning. CPA is a highly effective approach to teaching that develops a deep and sustainable understanding of maths in pupils. This approach involves the use of concrete materials and pictorial representations before moving on to abstract symbols and problems. When teaching for mastery, the CPA approach helps learners to be more secure in their understanding, as they have to prove that they have fully grasped an idea. Ultimately, it gives pupils at Danson Primary School a firm foundation for future learning.

Every classroom in school has a range of age-appropriate manipulatives to support learning. These include:

  • Digit cards
  • Place value charts
  • Dienes
  • Place Value counters
  • Number lines and hundred squares
  • Place value arrow cards
  • Bead strings
  • Counters
  • Real-life objects

 

Danson’s OctoBAR Maths Week 2018

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We had an exciting week exploring bar models to visualise problems in a fun and practical context. Bar modelling helps children with one of the most essential parts of the learning process: visualising and making sense of a problem pictorially, so they can then begin to move on to the abstract method of calculating an answer. It was fantastic to watch the children using bar modelling as a strategy to support their pictorial learning throughout the school. Children spent the week exploring, clarifying, practising and applying their learnt knowledge of bar models to solve problems. This has been an excellent way to encourage dialogue in mathematical lessons, especially ‘Bar Modelling Buddies’, where children were able to swap with another class to teach each other how to use the bar model.

Pupil Voice - Maths Week

“What I like about bar modelling is that it helps us visualise key problems and shows us how to work them out.”

“I enjoyed using the bar model because it shows the parts of a number.”

“I learnt how to use the comparative bar model to find the difference between two numbers.”

 

Times Tables

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At Danson, the expectation is that by the end of Year 4 all children should have quick and accurate recall of all multiplication facts up to 12 X 12. This is important in order for children in Upper Key Stage 2 to have a secure grounding of the recall of times table facts to solve problems. For depth of learning, we believe it is important that children are given the opportunity to see, explore, and understand 

the mathematical structures and patterns within the times tables. These are some of the reasons why we decided to implement ‘Times Table Rockstars’ as a resource to help improve accuracy and speed when recalling the times tables. Times Table Rock Stars is a fun and challenging programme designed to help students master the times tables!

Pupil Voice - Times Table Rockstars

“I enjoy playing Times Table Rockstars because it is fun and competitive when I play against my friends and people around the world.”

“I like that when I’m using Times Table Rockstars I can solve multiplication and division equations.”

“Times Table Rockstars is fun while learning the times tables that I don’t know.”

Useful websites

Websites to support children’s learning in maths are many and varied. Some recommended sites are listed below.

Times Tables Games
These games help make learning times tables fun!

ICT Games
Exciting fun games suitable for Early Years and KS1 children.

Crickweb
An excellent website including games and activities for a variety of maths topics for Early Years, KS1 and KS2 children.

Woodlands Junior School – Maths section
Lots of fun activities and games for a wide range of maths topics and ages.

KS1 Bitesize Maths
Fun games that help KS1 children practise a variety of maths skills.

KS2 Bitesize Maths
Fun games that help KS2 children practise a variety of maths skills.

Primary Games
A variety of games to develop your child’s maths skills whatever their age.

BBC School Radio
A variety of maths audio resources specifically focussing on helping children develop their mental maths skills.

The Little Animals Activity Centre
An exciting way for 4-8 year olds to learn at home while having fun.

BBC – Number Time
A wide range of games, activities, videos, advice and songs for children aged 4-7 and their parents.

Cool Maths for Kids
Lots of maths games where the emphasis is on fun!