1. BSJ Maths Workshop - Progression in Skills Thursday 22nd October 2015 Inspire, Challenge and Nurture for Excellence

2. Mathematics at BSJ Aims of the workshop: 1.An introduction to the written Calculation Hierarchy document and progression of written calculation methods. 2.Supporting your children with the basics - finding gaps in learning and bridging them. 3.Resources for use at home to support with Mathematics. KP

3. Mathematics at BSJ Part 1 An introduction to the written Calculation Hierarchy document and progression of written calculation methods. CB

4. Calculation Hierarchy Document Format for the progression of written calculation methods Has clear progression for the 4 operations – split into phases. Emphasis on developing mental methods that can then support and move on to written methods. It is an aid and helpful guide. CB

5. Calculation Hierarchy These are the steps for addition: CB

6. Calculation Hierarchy There are diagrams and explanations for each step and how it should be done. CB

7. Calculation Hierarchy  Number lines are an aid for calculations with the aim that these written methods becoming mental methods.  It is at this point where key number facts also become very important to aid the efficiency of mental methods.  Children need to know with speed simple number facts. This then allows them to do more complex calculations mentally. CB

8. Calculation Hierarchy Other steps after that are to use vertical algorithms to allow larger and more complex calculations to be done. However, their mental methods are still important. CB

9. Example: steps for addition How do children learn to add?  Combining sets of objects  Counting on the amount they are adding from a starting number.  Recalling and using number facts.  Extending bridging, partitioning and using and recognising patterns. Commutative relationships.  Column addition KP

10. Video demonstrating expanded bridging.

11. Partitioning to add  Partitioning is an incredibly useful tool that can be used for solving addition and multiplication calculations.  It also helps children to consolidate their understanding of place value.  In addition it can be used before the vertical column method like so: 38+79=117 30+70=100 8+9=17 100+17=117 KP

12. What are steps for subtraction?  Taking away from a set or hiding part of the set.  Counting back from a starting number with a number given.  Recalling and using number facts including inversing addition facts.  Bridging, partitioning (although a sound knowledge of place value is needed) and looking for patterns. KP

13. Video demonstrating subtraction using the expanded column method KP

14. What are the steps for multiplication.  Counting up sets of objects.  Counting on in groups, repeated addition.  Using knowledge of counting in groups such as counting in twos (times tables).  Recognising patterns and applying them.  Partitioning and recombining to solve larger multiplications. CB

15. Partitioning to multiply In multiplication partitioning is useful when solving 1dx2d calculations. Whilst it can be used to solve 2dx2d it’s better to use the grid or vertical methods. 23x6= 20x6=120 3x6=18 120+18=138 This is one example of where basic facts knowledge is really important. If the children have at least some of these facts to hand they will be quicker in their calculations. CB

16. What are the steps for division  Finding groups of the same size in a given number, sharing out and sorting objects equally.  Counting back in groups from a given number and working out how many groups you counted and if there are any remainders left.  Understanding multiplication is the inverse of division and apply this knowledge to solve calculations.  Using knowledge of doubles and halves, fractions and timetables to support understanding and speed.  Partitioning and recombining to solve larger division problems. CB

17. Video demonstrating division using the short division method CB

18. Calculation Hierarchy Challenge Use the addition calculation hierarchy to solve the following calculations: 7+2 = (use pictures and marks) 11+13 = (use a number line) 34+58 = (use column by column addition) 132+254 = (use pure column addition) Explain to a partner how you solved these problems. KP

19. Calculation Hierarchy The Calculation Hierarchy can be found on the bsj.sch.id website by following the path below: Our School>Primary>Curriculum>Y1-6>Maths CB

20. Manipulatives that could be used KP

21. Part 2 Supporting children with the basics, finding gaps in learning and bridging them. KP

22. We Will Cover: KP

23. The importance of meaning and language

24. Understanding the language of mathematics and then applying the correct process to solve a problem is vital. As adults we often make the assumption that children will know or just understand the basic concepts. This often leads to us missing gaps in their learning. Never assume they will just know it! KP

25. Using questioning and discussion with children to find out what they are thinking.  6+5 = 10  How do you respond to this?  ‘That’s great, but how did you work it out?’  ‘I counted on from 6, oh I got it wrong’ – can they self correct?  What do you do if they still think they are right? Go back to what they can do and find the next step. Steps are important for each operation. KP

26. Take a moment to familiarise yourself with the Key Knowledge Ladder KP

27. A word of caution  Key knowledge is important, for example, key number facts.  But, prior understanding is crucial to success ‘They may be able to say all the time tables by rote in Year 2 but they are only useful if they can apply them correctly or know what they are doing.’ KP

28. Part 3: Supporting at Home Other areas of Math’s that children find difficult - how could you help? Think about the basics and the language: do you need to take some steps back? What are the gaps in their learning or areas they are finding particularly difficult? Discuss for 5 minutes, feedback and questions. CB

29. A word about Kumon  Focuses on calculation strategies  Formal delivery style  Benefits some children  Tends not to develop wider mathematical skills CB

30. Resources for support at home Securing Maths Levels Guidance CB

31. Questions and Feedback  You will be emailed a link to the feedback form. Please do take a moment to offer feedback.  There is a maths trolley that you are welcome to look through to give you some ideas of the resources we use to teach Maths.  Please come and ask us questions. CB

32. Mathematics at BSJ Thank you for coming Mr Karl Prudhoe and Mrs Clara Buckley karl_prudhoe@bsj.sch.id clara_buckley@bsj.sch.id

33. Thank you Bintaro Sektor 9 Jl. Raya Jombang-Ciledug, Pondok Aren Tangerang 15227. JAKARTA - INDONESIA Tel. +62 (21) 745 1670 Fax. +62 (21) 745 1671 www.bsj.sch.id Inspire, Challenge and Nurture for Excellence Bintaro Jaya Sektor 9 Jl. Raya Jombang Ciledug, Pondok Aren Tangerang 15227 – JAKARTA – INDONESIA Telp. 021 745 1670 Fax. 021 745 1671 www.bsj.sch.id