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The Language of Maths Stuart de Boer Teacher Dyslexia Action.

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Presentation on theme: "The Language of Maths Stuart de Boer Teacher Dyslexia Action."— Presentation transcript:

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2 The Language of Maths Stuart de Boer Teacher Dyslexia Action

3 Interrelated Areas in the Learning of Maths

4 Maths or Literacy ? You go into a shop with £1. You buy two bags of crisps at 25p each and a bar of chocolate at 35p. How much change will you get ?

5 Why does the Dyslexic Student Under-Achieve in Maths ? Numeracy problems (tables and four operations) Memory (rote learning does not work) Speed (dyslexic student slower) Concentration (usually poorer than peers) Mis-match of learning/teaching style Undeveloped skills (held back by poor numeracy skills) Anxiety and self esteem (big problem) Literacy problems - failure to read and understand the language of maths

6 Aspects of Maths Language READING The ability to read a question correctly (three/there) JARGON The ability to understand the specific vocabulary of maths SYMBOLS The ability to understand the signs and symbols in maths (with a bit of algebra thrown in for good measure)

7 The Language of Maths READING symmetrical parallelogram perpendicular spherical consecutive millimetre millilitre congruent quadrilateral equation cylindrical denominator integer approximately evaluate percentage circumference isosceles

8 The JARGON of Maths angles and angels multiples LCM factors HCF third even/odd times sums evaluate difference irregular axes (chop chop) origin left angles ? prime place value second hand (on a clock)

9 The Jargon of Addition 3 add 4 (or 4 add 3) ( or 4 + 3) What is 4 more than 3? (or 3 more than 4) What is the total of 3 and 4? (or 4 and 3) What are 3 and 4 altogether? (or 4 and 3) What is the sum of 3 and 4? (or 4 and 3) What is 3 plus 4? (or 4 plus 3) Increase 3 by 4 (or 4 by 3)

10 Hidden Addition Language I have 4 CDs and buy 3 more how many do I have now? There are 6 students in the room and another 2 come in, how many are there now ? I have 50p and find 10p how much have I got now ? A plant is 7cm tall and grows 2 cm. How tall is it now ? In the first leg of a football tie the score was 4 – 3 and in the second leg, 1 – 2. What was the aggregate score ?

11 The Jargon of Subtraction 7 take away 3 What is left if I take 3 from 7 ? What is the difference between 3 and 7 ? (or 7 and 3) What is 3 less than 7 ? What is 7 less 3 ? 7 subtract 3 7 minus 3 Decrease 7 by 3

12 The Jargon of Multiplication 5 times 2 (and 2 times 5) 5 x 2 ( and 2 x 5) What is the product of 2 and 5 (or 5 and 2) 2 of 5 (or 5 of 2) 2 lots of 5 (or 5 lots of 2) 5 2s (or five twos) 5 groups of 2 (or 2 groups of 5)

13 Hidden Multiplication Language How much for 30 litres of petrol at 85p per litre ? How many bottles in a crate of 12 rows by 8 rows How many days in 3 weeks

14 The Jargon of Division 12 divided by 3 3 divided into 12 How many 3s in 12 How many groups of 3 in 12 Split 12 into 3 Share 12 by 3 Share 3 into 12 Group 12 into 3s How many times can you subtract 3 from 12

15 Hidden Division Language If two pizzas are eaten by eight people, how much does each person get ? A box of contains 24 chocolates. How many each between 3 ? How many will be in each team if there are three teams and 18 students ? How many quarter hour sessions in 3 hours ? Four friends go for a meal. The total cost of the meal is £120 – how much each ?

16 The Language of Maths leaves

17 The Language of Maths

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20 The Language of Maths

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23 3 4

24 The Language of Maths O

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26 346,000,000 Winston Churchill Tony Blair Albert Einstein

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28 Help for Jargon Recognition – that there may be a problem Card families – to link clue words to meanings/symbols Highlight clue words and symbols – to focus mind in right direction Question analysis techniques - what operations are required and in what order Pictures of Questions – makes multisensory Mnemonics – student generated Apply Common Sense – is answer sensible ?

29 Maths Symbols

30 More Maths Symbols

31 Help for Symbols Recognition – that there may be a problem Card families – to link symbol to meaning Practice at writing – so are clear and distinct from others Mnemonics – preferably student generated Personalised dictionary – useful reference and revision aid

32 Numbers and Words Illogical order four fourteen twenty four Logical order Associated Problems

33 MCMLXXIX MMMCDLVI CDXLVIII Place Value Appreciation

34 Associated Problems Orientation and Direction 6 and 9 + and x Start at left or right ? Brackets priority (cf. literacy) = b !!!!!

35 The Language of Maths Algebra x + 3 = 7 [ ] + 3 = 7 3x + 5 Three times plus five 2(x + 4) = 14 cf 2x + 4 = 14

36 Help with Algebra x + 3 = 7

37 Help with Algebra 2x + 4 = 14

38 Help with Algebra 2(x + 4) = 14

39 Help with Algebra Squares X 2

40 Help with Algebra Cubes X 3

41 Help Summary Recognition of reading, jargon, symbols problems Need for specific literacy help ? Reader for exams Card families Question analysis techniques Mnemonics Apply common sense to answers Symbol (and number) writing practice Personalised dictionary Some concrete assistance

42 And Lastly ……… Just how badly can maths be misunderstood ? If you are of a nervous disposition please look away now …..

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48 Thank you for listening

49 The Language of Measurement - Time How long ? When ? What time is it ? Seconds (and sub-divisions) Minutes Hours Days Weeks (+ fortnights) Months Years Decades Centuries Millennia

50 Intuitive Time Just a minute Just a moment, half a sec, two ticks Half a sec Half an hour Eastenders Typical film Weeks, months, years

51 The Language of Measurement - Length How long How far How big Length Distance Height Along Width Span (of hand or bridge) End to end Millimetres (mm) Centimetres (cm) Metres (m) Kilometres (km) Miles (m)

52 Intuitive Length Foot Stride Sports distances e.g. 100metres Football pitch Distances to familiar places

53 The Language of Measurement - Capacity Volume How much Amount of Space Millilitres (ml) Cubic Centimetres (cc or cm 3 ) Centilitres (cl) Litres (l) Pints Gallons

54 Intuitive Capacity Drinks cans/bottles Cup/mug/beer mug/wine glass Bottles of wine Petrol tank Car engines (note cc/ml confusion)

55 The Language of Measurement - Time How long ? When ? What time is it ? Seconds (and sub-divisions) Minutes Hours Days Weeks (+ fortnights) Months Years Decades Centuries Millennia

56 The Language of Measurement - Weight How heavy Mass Load Grams (g or gm) Kilogrammes (kg) Tonnes (t) Ounces (oz) Pounds (lb) Stones

57 Intuitive Weight Yourself Feathers/lead Postage Cooking/food Gymnasium Brick

58 Other Measurements Area Pressure Temperature Humidity Just number e.g shoe sizes


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