Numerals are symbols representing number ideas. oxford university press 2011

Numicon Workshop Session 1 5 Numerals are symbols representing number ideas 1 2 3 4 © oxford university press 2011 5 6 7 8 9 10 6 Structured ...
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Numicon Workshop Session 1

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Numerals are symbols representing number ideas

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© oxford university press 2011

5 6 7 8 9 10

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Structured images In pairs or threes: • Put out the numicon pieces randomly • What do you notice? • The imagery motivates numerals, it gives a picture of number ideas

© oxford university press 2011

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Structured images

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Pattern is at the heart of mathematical thinking…

© oxford university press 2011

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Pattern is one of children’s strengths and maths is all about pattern

© oxford university press 2011

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Children do not think with mathematical concepts, they use their own ‘concept images’

© oxford university press 2011

A Concept image of 5

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Firm foundations for all learners • Ordering Numicon Shapes, giving them number names and attaching numerals • Grouping objects into Numicon patterns without counting • Combining Numicon in addition • Using Numicon Shapes to show subtraction • Confidently using the language of addition and subtraction

© oxford university press 2011

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Daily counting and regular work on pattern

• Patterns all around us • Copying and making patterns using beads, pegs and other objects • In PE, music, art

© oxford university press 2011

• Reciting numbers • Counting songs and rhymes • Counting one-to-one: objects, pictures, children…How many children can play etc.

Getting to know the shapes • Using the feely bag to find the matching shape. • Make the numicon staircase

• Put two shapes from the extra set in the feely bag. • Point to a shape • Can your child find the matching shape in the feely bag?

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• • • • •

Language Have a 10 shape and a 1 shape. Ask the child to pick the smaller shape and then the bigger shape. Put the shapes in the feely bag. Ask the child to find the bigger and then the smaller shape. Repeat for different pairs More ideas: 3b, 4a

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Learning to put the shapes in order • Try some of the activities on 4B

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Ordering the shapes and numerals • Activity 7b

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Knowing the shapes and Numerals • Activity 8a

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Addition • Have ready shapes, numeral cards and feely bag containing two each of shapes 1-5. • Take out two shapes. • Put the shapes together, say what shape has been made, find the equivalent shape to check. • More ideas 11a, 11b

© oxford university press 2011

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Counting experience forms an essential part of children’s developing understanding of numbers, but it is by no means the best foundation for their calculating

© oxford university press 2011

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What is calculating? • Calculating is used to answer ‘how many?’ questions without counting • Adding is what we do instead of counting. Multiplying is what we do instead of adding • Beware! Complex ideas can appear deceptively simple

© oxford university press 2011

Practical addition and subtraction • Find 2 shapes to match the 10 shape. • Did you need to count? Why not?

Building teens numbers ‘teen’ numbers structure and notation

Kit 1 NNS 2a and 2b

How many without counting – higher numbers Kit 1 NNS 3b Revisited Kit 2 NNS 1

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Introducing equivalence Kit 1 C 2a and 2b

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Kit 1 Money Coin equivalence – connecting Numicon Shapes and coin values

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Introducing – symbol •

Kit 1 C 3a

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Using facts to 10 • Add 8 + 5 on Tens Number Line Check answer using 10 and 3 piece



For mental strategy, pupils need to bridge the 10 i.e. mentally partition the 5 into 2+3, using 2 to complete the 10 and add 3

© oxford university press 2011

• Now add 18 + 5 by sliding a 10 shape onto the beginning of the number line

Developing calculation strategies • Multiples of 10 – clearly seen from apparatus

• Rounding – using understanding of facts of 10

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Developing calculation strategies Kit 1 C 13a repeated Kit 2 C 7

Using addition facts of 10 and other numbers to bridge a multiple of ten

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Introducing multiplication Kit 2

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Introducing multiplication

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Finding products in repeated addition • 5x3 • Lay out 3+3+3+3+3 on Tens Number Line • Put out number rods in same way on rod track • How many 3’s in 15? © oxford university press 2011

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Multiplication

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Introducing division Kit 2 C 17–20

Division introduced as the inverse of multiplication – how many in?

© oxford university press 2011

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Numicon in Key Stage 2 • All work in KS2 extends ideas already met in KS1 • Look at multiplication and division in Kit 2 for work on factors, primes, square numbers • Place value – work with higher numbers • Addition and subtraction working with higher numbers and towards written calculation

© oxford university press 2011

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Numicon Whiteboard Software • Keeping maths lessons multi-sensory and interactive • Downloadable lessons from website

© oxford university press 2011

© oxford university press 2011

Rationale for using Numicon • • • •

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Quality first learning Progressive Inclusive Children can: • understand number relationships • do calculating without counting • learn mathematical language in • context • make connections to use and • apply their understanding

A proven approach that gets results...

47% increase in students achieving Level 3 at KS1 after using Numicon

© Oxford University Press 2010

...that are sustained over time

72% increase in students achieving Level 5 at KS2 having used Numicon in KS1

© Oxford University Press 2010

Thank you! Find out more on www.numicon.com

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