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The Primary Framework for literacy and mathematics

The Primary Framework for literacy and mathematics. Manchester mathematics subject leaders’ briefing October 2007 Calculations. Objectives. To consider briefly the learning and teaching of calculation across the school

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The Primary Framework for literacy and mathematics

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  1. The Primary Framework for literacy and mathematics Manchester mathematics subject leaders’ briefing October 2007 Calculations

  2. Objectives • To consider briefly the learning and teaching of calculation across the school • To review the role resources play in the learning and teaching of calculation • To look at how the renewed framework will support teaching and learning of calculation

  3. Introductions • Check that you know the following information about your group: - Name - School - How long have you been a subject leader? • Discuss why have you chosen to look at calculation as part of your staffs professional development programme? - What evidence have you got? - Is it a whole school focus / specific key stage or year group? - Which area of calculation?

  4. What aspects of calculation do your children find difficult to learn, and why? • Recall – remembering multiplication tables or addition and subtraction facts • Choosing operations • Application • Choosing appropriate strategies in order to be efficient and accurate • Making links

  5. Why do children have these difficulties? • Insufficient opportunity to use mathematical language and symbols for calculation • Lack of knowledge of an appropriate range of number facts to support calculation • Inability to choose an appropriate calculation strategy for the problem • Failure to use knowledge of number facts, place value, approximation and inverses to check calculations • Insufficient understanding of the operation of addition, subtraction, multiplication and division and the relationship between them.

  6. Why do children have these difficulties? Task Focus on identified area of difficulty Share ideas of : - how you currently teach this area, - what works well - how might we address this difficulty

  7. The ability to calculate is an essential aspect to being numerate Children need to develop the inclination and ability - to solve problems in a variety of contexts - using and applying their understanding of the number system - their knowledge of number facts and their calculation strategies

  8. How the renewed framework can help you teach calculation

  9. Guidance PaperPrimary framework/mathematics/Guidance papers/calculation • Process of calculation begins through practical, oral and mental activities • The ability to calculate mentally forms the basis of all methods of calculation and has to be maintained and refined • When underlying ideas are understood – ways of recording are used to support thinking and calculation methods • Models and images e.g. empty number line • As mental methods are strengthened so too are informal written methods • Needs to be greater consistency in the approach to calculation • Challenge for teachers is determining when their children should move on to written calculation • Children should be equipped to decide when it is best to use a mental, written or calculator method based on the knowledge that they are in control of this choice as they are able to carry out all three methods with confidence

  10. Strands Primary Framework/mathematics/learning objective/by strand/calculating and knowing and using number facts Progression Go through the two strands and highlight the progression in subtraction

  11. Prior Learning Primary Framework/mathematics/planning/year group/block/prior learning Example in pack Year 3 - block A – prior learning

  12. Assessment for LearningPitch and Expectation Assessment for Learning PrimaryFramework/mathematics/ planning/year group/block/block resources/Y6 Mathematics Block .. word doc. Pitch and Expectation PrimaryFramework/mathematics/ planning/year group/year group resources/Pitch and Expectation - Y6 Mathematics Block .. word doc.

  13. Resources ICT PrimaryFramework/mathematics/ planning/year group/block/unit/ICT resources Wave 3 Mathematics PrimaryFramework/mathematics/ planning/year group/block/unit – scroll down to find Wave 3 links

  14. Gap Task Ask staff to identify activities and equipment that they have used successfully to address areas of calculation that children find difficult (proforma in your pack)

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