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 Dyscalculia: The Way Forward
Presentation Definitions and Prevalence Screening Supporting Students
Towards a Definition
DSM-IV (2000)  MathematicsDisorder: 	"as measured by a standardised test that is given individually, the person's mathematical ability is substantially less than would be expected from the person’s age, intelligence and education. This deficiency materially impedes academic achievement or daily living"
Key Features (1) 1. Mathematical level compared to expectation “Most dyscalculic learners will have cognitive and language abilities in the normal range, and may excel in non-mathematical subjects“ Butterworth (2001)  Impedance of academic achievement  and daily living  "Dyscalculia is a term referring to a wide range of life long learning disabilities involving math… the difficulties vary from person to person and affect people differently in school and throughout life".  					NCLD (2009)
Key Features (2) What is “mathematical ability” ? “MathematicsDisorder” implies a stable cognitive root, not achievement or mastery which is subject to education and environment.
The National Numeracy Strategy DfES (2001) 	Dyscalculia is a condition that affects the ability to acquire arithmetical skills. Dyscalculic learners may have difficulty understanding simple number concepts, lack an intuitive grasp of numbers, and have problems learning number facts and procedures. Even if they produce a correct answer or use a correct method, they may do so mechanically and without confidence
Key Features (1) “acquire” emphasises acquisition rather than carrying out arithmetic procedures.  “difficulty understanding simple number concepts, lack an intuitive grasp of numbers” placing understanding at the core of dyscalculia
	“A lack of a true comprehension or understanding of maths will be a key characteristic of dyscalculic people”  Chinn S. (2006) Key Features (2) 	“Learning number facts and procedures” : more dyslexia related?
Prevalence 	According to current estimates  Butterworth (2002)  ,[object Object]
 Additionally 5 to 6% of children of average to superior intelligence having a specific learning deficit in mathematics. ,[object Object]
DysCalculiUMTrott and Beacham A first-line screening tool for dyscalculia To be published by Iansyst (June 2010) Aimed at adults 16+ Focus on Understanding Mathematics Used with an appropriate DI Identify “at risk”, refer to formal assessment Profile of strengths/weaknesses 12
13 Kerry
Model for Dyscalculia 14
15 Initial Trials
 Further Trials Involved 30 participants Organised into three equal groups Dyscalculic Dyslexic Control Covered a range of academic subjects 16
100.00 90.00 80.00 70.00 60.00 50.00 participant 40.00 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 Percentage Scores for 3 Groups O dyscalculic O dyslexic O control % 17
Compare 0.71 with 0.17 Compare 3.59 with 3.509 % correct % correct 18
19
100.00 80.00 60.00 40.00 participant 20.00 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 Graph: percentage scores (revised) O dyscalculic O dyslexic O control % 20
21 Further Trials
22 “Small-Scale” Trials, n = 70
Profiler (Thomas) Overall: “severely at risk ”  Risk: No. concepts No. comparisons Operations Key concepts Not at risk Graphical  Tabular  Time  Spatial  More visual applications
One-to-one Support for the Dyscalculic Student A Case Study: Liam
      Liam: Transport Management Strengths ,[object Object]
Expressive writing
Reading comprehensionWeaknesses Dyscalculic Sequencing numbers Problems with calculation Unsure of basic operations Use of inappropriate strategies
Tables of Information
Rows and Columns
% of flights to Brussels more than 5 mins late:
Alternative Approaches 12 flights 3 late
Median of delivery route distances (km)  66 35 46 55 70 69 45 72 46 72 55  56  57  58  59  60  61  62   63  64  65  66 60.5
Resources http://incompetech.com/beta/plainGraphPaper/
Number Lines and Graphs Number line Extend to 2-D Moving axes Apply to  Correlation Sales forecasting (interpolation) 35
Time and Scheduling A small airline, based at LHR, serves two cities: Oslo and Helsinki. The flying time to Oslo is 21/4 hours and to Helsinki is 3 hours. There should be 3 return flights a day to each city and the turn-round time must be at least 40 minutes, but not more than 1 hour. Construct a schedule.
22:45

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Dyscalculia A Way Forward

  • 1. Dyscalculia: The Way Forward
  • 2. Presentation Definitions and Prevalence Screening Supporting Students
  • 4. DSM-IV (2000) MathematicsDisorder: "as measured by a standardised test that is given individually, the person's mathematical ability is substantially less than would be expected from the person’s age, intelligence and education. This deficiency materially impedes academic achievement or daily living"
  • 5. Key Features (1) 1. Mathematical level compared to expectation “Most dyscalculic learners will have cognitive and language abilities in the normal range, and may excel in non-mathematical subjects“ Butterworth (2001) Impedance of academic achievement and daily living "Dyscalculia is a term referring to a wide range of life long learning disabilities involving math… the difficulties vary from person to person and affect people differently in school and throughout life". NCLD (2009)
  • 6. Key Features (2) What is “mathematical ability” ? “MathematicsDisorder” implies a stable cognitive root, not achievement or mastery which is subject to education and environment.
  • 7. The National Numeracy Strategy DfES (2001) Dyscalculia is a condition that affects the ability to acquire arithmetical skills. Dyscalculic learners may have difficulty understanding simple number concepts, lack an intuitive grasp of numbers, and have problems learning number facts and procedures. Even if they produce a correct answer or use a correct method, they may do so mechanically and without confidence
  • 8. Key Features (1) “acquire” emphasises acquisition rather than carrying out arithmetic procedures. “difficulty understanding simple number concepts, lack an intuitive grasp of numbers” placing understanding at the core of dyscalculia
  • 9. “A lack of a true comprehension or understanding of maths will be a key characteristic of dyscalculic people” Chinn S. (2006) Key Features (2) “Learning number facts and procedures” : more dyslexia related?
  • 10.
  • 11.
  • 12. DysCalculiUMTrott and Beacham A first-line screening tool for dyscalculia To be published by Iansyst (June 2010) Aimed at adults 16+ Focus on Understanding Mathematics Used with an appropriate DI Identify “at risk”, refer to formal assessment Profile of strengths/weaknesses 12
  • 16. Further Trials Involved 30 participants Organised into three equal groups Dyscalculic Dyslexic Control Covered a range of academic subjects 16
  • 17. 100.00 90.00 80.00 70.00 60.00 50.00 participant 40.00 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 Percentage Scores for 3 Groups O dyscalculic O dyslexic O control % 17
  • 18. Compare 0.71 with 0.17 Compare 3.59 with 3.509 % correct % correct 18
  • 19. 19
  • 20. 100.00 80.00 60.00 40.00 participant 20.00 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 Graph: percentage scores (revised) O dyscalculic O dyslexic O control % 20
  • 23.
  • 24.
  • 25.
  • 26. Profiler (Thomas) Overall: “severely at risk ” Risk: No. concepts No. comparisons Operations Key concepts Not at risk Graphical Tabular Time Spatial More visual applications
  • 27. One-to-one Support for the Dyscalculic Student A Case Study: Liam
  • 28.
  • 30. Reading comprehensionWeaknesses Dyscalculic Sequencing numbers Problems with calculation Unsure of basic operations Use of inappropriate strategies
  • 33. % of flights to Brussels more than 5 mins late:
  • 34. Alternative Approaches 12 flights 3 late
  • 35. Median of delivery route distances (km) 66 35 46 55 70 69 45 72 46 72 55 56 57 58 59 60 61 62 63 64 65 66 60.5
  • 37. Number Lines and Graphs Number line Extend to 2-D Moving axes Apply to Correlation Sales forecasting (interpolation) 35
  • 38. Time and Scheduling A small airline, based at LHR, serves two cities: Oslo and Helsinki. The flying time to Oslo is 21/4 hours and to Helsinki is 3 hours. There should be 3 return flights a day to each city and the turn-round time must be at least 40 minutes, but not more than 1 hour. Construct a schedule.
  • 39. 22:45
  • 40. 07.00 14.00 18.00 07.00 10.00 16.00 L 12.00 15.00 21.00 10.15 17.15 21.15 13.45 16.45 22.45 12.45 19.45 23.45 H O 12.45 15.45 21.45 11.00 18.00 22.00
  • 41. Dyscalculia: The Way Forward There is an urgent need for: Effective screening and assessment An understanding of student support needs With appropriate support the dyscalculic student can move forward and succeed.