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Literacy in the Numeracy Classroom

Literacy in the Numeracy Classroom

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Literacy in the Numeracy Classroom

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  1. Welcome Literacy in the Numeracy Classroom Brett Meek Hunter Central Coast PSP Consultant  brett.meek@det.nsw.edu.au  4972 3010

  2. New Scheme Teachers Literacy in the Numeracy Classroom This workshop provides 8 hours of Teacher Identified Professional Learning for your NSW Institute of Teachers requirements. It addresses the following standards: 1.2.2, 2.2.3, 3.2.4, 6.2.4

  3. NAPLAN

  4. If and then For many people… Answer because

  5. That other syllabus … Learning about … Learning to …

  6. Working Mathematically 5 Interrelated Processes Questioning Applying Strategies Communicating Reasoning Reflecting

  7. Working Mathematically(Aust Curriculum – Proficiencies) The New NSW K-10 Mathematics Syllabus incorporating the Australian Curriculum Communicating Understanding Problem Solving Reasoning Fluency

  8. Working Mathematically

  9. Literacy in the Numeracy Classroom Technical Language • Words that mean the same in ordinary language eg. equal • Words that are only used in mathematics eg. parallelogram • Words that have totally different meanings in mathematical context. eg. volume

  10. Literacy in the Numeracy Classroom Slippery Words Odd third even sum square face weight side edge

  11. Literacy in the Numeracy Classroom ... and quite often multiple meanings SCALE

  12. Literacy in the Numeracy Classroom Language considerations Prepositions: by, in, to, on, for We came by car. Multiply 3 by 2 Prepositions can change meaning Increase by 7 Increase from 7 Increase to 7

  13. Literacy in the Numeracy Classroom How do you verbalise 7 - 5? 7 minus 5 7 take away 5 take 5 from 7 from 7 take 5 subtract 5 from 7

  14. Literacy in the Numeracy Classroom How do you verbalise 7 - 5? The difference between 7 and 5 How about ... The difference between 5 and 7

  15. Literacy in the Numeracy Classroom 6 – 2 =  4 What is the difference between 2 and 6? 0 1 2 3 4 5 6 7 8 9 10

  16. Literacy in the Numeracy Classroom 6 – 2 =  4 Abstract Concrete 0 1 2 3 4 5 6 7 8 9 10 Visual/Pictorial

  17. Literacy in the Numeracy Classroom Concrete Pictorial  Abstract • Essential process • Some children will skip through the pictorial stage very quickly • BUT • Very important that we explicitly teach children how to operate in the pictorial stage. • Abstract includes being able to operate with numbers without needing to assign them to objects. This is often a difficult concept for children to grasp.

  18. Literacy in the Numeracy Classroom Pictorial Concrete Abstract

  19. Literacy in the Numeracy Classroom Mathematicians are like Frenchmen: whatever you say to them they translate into their own language and forthwith it is something entirely different. Johann Wolfgang von Goethe (Maxims and Reflexions, 1829) Les mathématiciens sont comme les Français : quoi que vous leur dites ils traduisent dans leur propre langue et sur-le-champ c'est quelque chose entièrement différent. Johann Wolfgang von Goethe (Maxims and Reflexions, 1829)

  20. Literacy in the Numeracy Classroom Mathematics Vs Numeracy

  21. Numeracy Vs MathematicsWhat’s the difference? Mathematics

  22. Numeracy Vs MathematicsWhat’s the difference? Numeracy

  23. Numeracy Vs MathematicsWhat might the difference look like? Mathematics Numeracy

  24. Numeracy Vs MathematicsWhat’s the difference? We know a student can do 2 + 3 = 5 Where to next? We want to assess his ability to use that knowledge in real life. What do we do?

  25. Numeracy Vs MathematicsWhat’s the difference? When we do this we can (an do) leave some students behind. We present the maths within a word problem which is (hopefully) designed to reflect a real-world situation. Some of those students who are left behind are quite capable of doing the maths but ...

  26. Is the problem Reading or Maths?

  27. Literacy in the Numeracy Classroom Newman’s Error Analysis Anne Newman – Languages Educator 1977 – An analysis of sixth-grade pupils’ errors on written mathematical tasks. (Victorian Institute of Educational Research) 1983 – Strategies for Diagnosis and remediation (Sydney)

  28. Literacy in the Numeracy Classroom Reading Reading the actual words within the problem Comprehending Understanding what has been read >60% Carrying out a transformation from the words of the problem to the selection of an appropriate mathematical strategy Transformation Process skills >80% Applying the process skills demanded by the selected strategy Encoding Encoding the answer in an appropriate written form

  29. Literacy in the Numeracy Classroom Reading 3 + 2 =  Comprehending 3 + 2 =  Transformation 3 + 2 =  Process skills 3 + 2 =  Encoding 3 + 2 = 

  30. Literacy in the Numeracy Classroom Reading Poorly worded Question Comprehending Carelessness on the part of the learner Transformation Lack of motivation on the part of the learner Process skills Encoding

  31. Literacy in the Numeracy Classroom Reading Comprehending Transforming Processing Encoding

  32. Literacy in the Numeracy Classroom Physical Factors Reading Skills Names Reading Vocabulary Limitations Technical Language

  33. Literacy in the Numeracy Classroom Assist with reading where appropriate Reading

  34. Literacy in the Numeracy Classroom • Naplan • Test Administration Handbook 2012 • Year 3 and Year 5 • “During the Numeracy Test only, you can assist a student by: • Reading the questions, but you must not read the numbers or symbols within the questions” (p6) • “During the Numeracy Test, you MUST NOT: • Read the numbers or symbols • Explain the meaning of any symbols, numbers or mathematical terms • Interpret any graphs or diagrams” (p6)

  35. Literacy in the Numeracy Classroom Assist with reading where appropriate Reading Provide a context Insert own name

  36. Literacy in the Numeracy Classroom Brett

  37. Literacy in the Numeracy Classroom Assist with reading where appropriate Dyslexia & other physical factors Reading Provide a context Insert own name

  38. Literacy in the Numeracy Classroom STLA, Reading Recovery etc. Literacy vs Numeracy Comprehension Comprehension Skills Information Overload Comprehension Physical Factors Vocabulary Limitations Names Technical Language

  39. Literacy in the Numeracy Classroom Super 6 Strategies Making Connections Predicting Visualising Summarising Monitoring Questioning

  40. Literacy in the Numeracy Classroom ? Comprehension

  41. Literacy in the Numeracy Classroom Predicting Visualising

  42. Literacy in the Numeracy Classroom • How many sausages can each person have? • How many sausages does dad need to buy altogether? • How many sausages will be left over? • How many sausages still remain? • How many more sausages does dad need to buy? • How many people can dad feed?

  43. Literacy in the Numeracy Classroom Information Question

  44. Literacy in the Numeracy Classroom

  45. Literacy in the Numeracy Classroom Comprehension Skills Multiple choice Scattergun approach Vocabulary Limitations Transformation Technical Language Key terms Physical Factors Literacy vs Numeracy Comprehension Information Overload

  46. Literacy in the Numeracy Classroom Scattergun Approach/Multiple Choice • A barbecue was held for 36 people and there were 3 sausages for each person. How many sausages were there altogether? • 39 • 12 • 108 • 98 Added the only numbers in the question Divided the only numbers in the question Correctly solved the problem OR was aware of the internationally known rule – If in doubt answer ‘C’. Multiplied but did not know how to carry the one or made a careless error.

  47. Literacy in the Numeracy Classroom B A D C

  48. Literacy in the Numeracy Classroom Make an Estimation

  49. Literacy in the Numeracy Classroom - ½ ÷ = + 0.5 Process Skills X ∢ Kg mm ml