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Beyond Word Problems or is it:  Beyond WP4.2 problems? © Kees Hoogland  [email_address]
How many chicken are there in the shed?
© Kees Hoogland  [email_address]
What is the biggest problem in numeracy education? Word problems
 
Research base: - my own research - existing literature © Kees Hoogland  [email_address]
Numeracy and Mathematical literacy ,[object Object]
School Mathematics versus Numeracy ,[object Object],[object Object],[object Object],[object Object]
Complexity and depth ,[object Object],[object Object]
Results from earlier research ,[object Object],[object Object],[object Object],[object Object],© Kees Hoogland  [email_address]
Analyses of the video’s ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],© Kees Hoogland  [email_address]
Conclusions ,[object Object],[object Object],[object Object],© Kees Hoogland  [email_address]
 
 
 
Goals of Mathematics Education ,[object Object],[object Object],[object Object]
Types of problems ,[object Object],[object Object],[object Object],[object Object]
2 Source: CEVO (1991), VMBO examen [Dutch Final Examination, grade 10]
Source: SingaporeMath (2007),  placement test ,
Question 4. Traffic jam Between Breukelen and Abcoude in the direction of Abcoude, there is a traffic jam of 5 km. The road has three lanes in each direction.  19. Estimate the number of cars in the traffic jam.  Write down how you arrive at your answer. Source: CEVO (1997), VMBO examen [Dutch Final Examination, grade 10]
Source:  Moderne Wiskunde (1998)  MW 2 HV
I work in a butcher’s shop from Monday to Thursday. One of my jobs is to check the temperature of the fridge twice  a day. At the right hand side you see a thermometer.  What is the temperature? A  +15° C B  -15°  C C  + 15° F D  - 15° F
Source: Cito (2009). Referentietoetsen 1F/2F
Source:  PISA Samples 2004
 
The computer activity sample item from Authentic World®
Criteria Numeracy problems ,[object Object],[object Object],[object Object],[object Object],[object Object],© Kees Hoogland  [email_address]
[object Object],[object Object],[object Object],[object Object],[object Object],© Kees Hoogland  [email_address]
I work in a butcher’s shop from Monday to Thursday. One of my jobs is to check the temperature of the fridge twice  a day. At the right hand side you see a thermometer.  What is the temperature? A  +15° C B  -15°  C C  + 15° F D  - 15° F
I work in a butcher’s shop from Monday to Thursday. One of my jobs is to check the temperature of the fridge twice  a day. At the right hand side you see a thermometer.  What is the temperature? A B C D
What is the temperature? A B C D
What is the temperature? Fridge thermometers …… …… ……
Source: Cito (2009). Referentietoetsen 1F/2F
What is the discount?
Discount … ..  %
Discount … ..  %
Discount … ..  %
Source:  PISA Samples 2004
Calculate
Source:  PISA Samples 2004 16 years after the ice disappears. What is the diameter?
Global warming The ice melts 12 years later Lichen starts to grow.  D = 7 * SQRT ( t ) D is diameter in mm T is age of Lichen in years In the picture D = 20 centimeter How old is the lichen? How long ago the ice melted? D
How many chicken are there in the shed?  No one knows, probably more than 6
How many chicken are there in the picture?  Is more coirrect, but who wants to know?
How many chicken are there in the picture?
Examples from a numeracy toolkit for weak (young) adult learners. See the  demo  on  www.gecijferd.nl
Interested ? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Gc 2009 07 09 Alm16 Hoogland Complete

  • 1. Beyond Word Problems or is it: Beyond WP4.2 problems? © Kees Hoogland [email_address]
  • 2. How many chicken are there in the shed?
  • 3. © Kees Hoogland [email_address]
  • 4. What is the biggest problem in numeracy education? Word problems
  • 5.  
  • 6. Research base: - my own research - existing literature © Kees Hoogland [email_address]
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.  
  • 14.  
  • 15.  
  • 16.
  • 17.
  • 18. 2 Source: CEVO (1991), VMBO examen [Dutch Final Examination, grade 10]
  • 19. Source: SingaporeMath (2007), placement test ,
  • 20. Question 4. Traffic jam Between Breukelen and Abcoude in the direction of Abcoude, there is a traffic jam of 5 km. The road has three lanes in each direction. 19. Estimate the number of cars in the traffic jam. Write down how you arrive at your answer. Source: CEVO (1997), VMBO examen [Dutch Final Examination, grade 10]
  • 21. Source: Moderne Wiskunde (1998) MW 2 HV
  • 22. I work in a butcher’s shop from Monday to Thursday. One of my jobs is to check the temperature of the fridge twice a day. At the right hand side you see a thermometer. What is the temperature? A +15° C B -15° C C + 15° F D - 15° F
  • 23. Source: Cito (2009). Referentietoetsen 1F/2F
  • 24. Source: PISA Samples 2004
  • 25.  
  • 26. The computer activity sample item from Authentic World®
  • 27.
  • 28.
  • 29. I work in a butcher’s shop from Monday to Thursday. One of my jobs is to check the temperature of the fridge twice a day. At the right hand side you see a thermometer. What is the temperature? A +15° C B -15° C C + 15° F D - 15° F
  • 30. I work in a butcher’s shop from Monday to Thursday. One of my jobs is to check the temperature of the fridge twice a day. At the right hand side you see a thermometer. What is the temperature? A B C D
  • 31. What is the temperature? A B C D
  • 32. What is the temperature? Fridge thermometers …… …… ……
  • 33. Source: Cito (2009). Referentietoetsen 1F/2F
  • 34. What is the discount?
  • 38. Source: PISA Samples 2004
  • 40. Source: PISA Samples 2004 16 years after the ice disappears. What is the diameter?
  • 41. Global warming The ice melts 12 years later Lichen starts to grow. D = 7 * SQRT ( t ) D is diameter in mm T is age of Lichen in years In the picture D = 20 centimeter How old is the lichen? How long ago the ice melted? D
  • 42. How many chicken are there in the shed? No one knows, probably more than 6
  • 43. How many chicken are there in the picture? Is more coirrect, but who wants to know?
  • 44. How many chicken are there in the picture?
  • 45. Examples from a numeracy toolkit for weak (young) adult learners. See the demo on www.gecijferd.nl
  • 46.