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Developing Mental Calculation Strategies

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Developing Mental Calculation Strategies. A workshop for all at Endon Hall Primary School ... Developing Written Calculations addition and subtraction Autumn 2006 ... – PowerPoint PPT presentation

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Title: Developing Mental Calculation Strategies


1
Developing Mental Calculation Strategies
  • A workshop for all at Endon Hall Primary School
  • Learning Together And Having Fun
  • June 2006

2
Mathematics?
  • What images and emotions are racing through your
    mind?

3
How was it for you?
  • What was Maths like for you when you were at
    school?
  • Were you good at it?
  • How do you use Maths now in your daily life?

4
Why are we here?
  • I can

5
We can
6
Programme of Workshops
  • Developing Mental Strategies June 2006
  • Developing Written Calculations addition and
    subtraction Autumn 2006
  • Developing Written Calculations multiplication
    and division Spring 2007

7
Why Mental Calculation Strategies?
  • Mental calculation skills are vital.
  • They give children an understanding of numbers
    and number operations and a sense of autonomy in
    many practical situations.

8
Why?
  • The National Numeracy Strategy emphasises the
    teaching of mental calculation throughout the
    Primary phase.
  • - To recognise when calculations can
    be done in their heads.
  • - To choose effective and efficient
    strategies to work out the answers.

9
Why?
  • Many children have recurring difficulties with
    written methods of calculation, such as
    forgetting or misapplying a standard method,
    working inefficiently because they do not know
    number bonds or multiplication facts, or using a
    written method when a mental method would be more
    appropriate.

10
Where do mental strategies come from?
  • Skills what can you do?
  • Ideas what do you realise?
  • Facts what can you remember?

11
What do we do in school?
  • To help children to develop and learn new
    strategies-
  • Modelling numbers using equipment
  • Modelling number operations using number lines
    or grids
  • Explaining how to use a model

12
In school
  • Build confidence through structured number games
    and activities
  • Sorting and classifying problems
  • Provide lots of short exercises to consolidate

13
Questions
Can you see a pair of numbers that make 10?

How did you work it out?
Can you explain your method to a friend?
14
Questions
How would you read these decimal numbers if they
were money?

Which number did you start with?
Can you spot the pattern? 1, 1, 2, 3, 5, 8,
13, 21 What will the 10th number be?
15
Vocabulary
  • Fundamental
  • Foundation blocks on which everything else
    stands secure.

16
Strategies for memorising
  • Kinaesthetic
  • Visual
  • Aural

17
Strategies for memorising
  • Written
  • Pattern

18
Progression
  • See appendix

19
Strategies for addition and subtraction
  • Counting forwards and backwards
  • Reordering
  • Partitioning using multiples of 10 and 100

20
Strategies for and -
  • Partitioning bridging through multiples of 10
  • Partitioning Compensating

21
Strategies for and -
  • Partitioning using near doubles
  • Partitioning bridging through numbers other
    than 10

22
Multiplication and division skills and strategies
  • Knowing multiplication and division facts to 10
  • Multiplying and dividing by multiples of 10

23
Multiplication and division skills and strategies
  • Multiplying and dividing by single-digit numbers
    and multiplying by two-digit numbers
  • Doubling and halving

24
Multiplication and division skills and strategies
  • Fractions, decimals and percentages

25
How to help at home
  • Short bursts of time!
  • Looking for numbers in the environment
  • Car number plates
  • Prices / shopping / giving change

26
Help at home
  • Stories, rhymes, counting songs
  • Sharing laying the table, cutting up cake or
    pizza, sweets
  • Gradients

27
Help at home
  • Time how long until your favourite T.V.
    programme? How long does it last? How often is it
    on?
  • Telephone numbers
  • House numbers

28
Help at home
  • Quantities on packages if these ingredients
    will make enough for 4 people, how much will we
    need for 8 people?
  • Patterns number, in nature, buildings, stacks
    of food in supermarkets, wallpaper, tiles

29
Help at home
  • Games
  • Challenge time
  • Dice
  • Dominoes

30
How do you feel now?
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