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Observing the Problem Solving Strategies of Students Marsali Wallace Ross Galloway
Introduction ,[object Object],[object Object],[object Object],[object Object]
AIMS ,[object Object],[object Object]
[object Object],[object Object]
Think Aloud  http://www.livescribe.com/cgi-bin/WebObjects/LDApp.woa/wa/MLSOverviewPage?sid=4dNdFjpNtrV6
The Questions Drawbridge Question A man is trying to push a large stone block across a uniform drawbridge which has a mass of m = 200kg. The mass of the large stone block and the man combined is M = 300kg. The drawbridge is of length L = 5.00m and is held up by a wire. The wire can withstand a maximum tension of 5000N. The vertical distance between the drawbridge and the point where the wire is attached to the wall is  h = 4.00m.  How far along from the wall can the man push the stone block before the bridge collapses?  Assume g = 10 ms -2 Army Cadet Question An Army cadet uses a rope swing to cross a river. He starts on a high platform with his centre of mass 7.16 metres from the ground and grabs onto the rope which is 6m long, to swing. He lets go when the rope is vertical and his centre of mass is 1m off the ground. He needs to travel 5m horizontally to clear the river after letting go of the rope. If he successfully clears the river what is the tension in the rope just before he releases? The cadet’s weight is 80kg.
Problem Solving Model ,[object Object],[object Object],[object Object],[object Object],[object Object],Heller and Heller (1995) The Competent Problem Solver. University of Minnesota
Results: Timeline of  problem solving strategies Student 1. Drawbridge Question. Non-Major, Female Minnesota Model Time (Minutes) Code   1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Focus on the problem                                                                                                                                                                                         Describing the physics                                                                                                                                                                                         Planning                                                                                                                                                                                         Execution                                                                                                                                                                                         Evaluation                                                                                                                                                                                         Silence and no writing                                                                                                                                                                                        
Results: Successful Student Student 6 FDPEE Model Focus on problem Describe Physics Plan Execute Evaluate Silence and no writing Percentage of time on Each Activity
Results: Unsuccessful Student Student 4 FDPEE Model Focus on problem Describe Physics Plan Execute Evaluate Silence and no writing Percentage of time on Each Activity
Discussion ,[object Object],[object Object],[object Object]
Discussion ,[object Object],[object Object],[object Object],[object Object],Kohl, P.B. and Finkelstein, N.D. (2008) “Patterns of multiple representation use by experts and novices during physics problem solving”,  Physical Review Special Topics – Physics Education Research  4(1)  010111 Schoenfeld (1985) Mathematical Problem Solving. Academic Press, Florida.
Kohl and Finkelstein, 2008 Kohl, P.B. and Finkelstein, N.D. (2008) “Patterns of multiple representation use by experts and novices during physics problem solving”,  Physical Review Special Topics – Physics Education Research  4(1)  010111
Discussion ,[object Object],[object Object],[object Object],[object Object],Kohl, P.B. and Finkelstein, N.D. (2008) “Patterns of multiple representation use by experts and novices during physics problem solving”,  Physical Review Special Topics – Physics Education Research  4(1)  010111 Schoenfeld (1985) Mathematical Problem Solving. Academic Press, Florida.
Schoenfeld, 1985 ,[object Object],[object Object],Page 313. Schoenfeld (1985) Mathematical Problem Solving. Academic Press, Florida.
Discussion ,[object Object],[object Object],[object Object],[object Object],Kohl, P.B. and Finkelstein, N.D. (2008) “Patterns of multiple representation use by experts and novices during physics problem solving”,  Physical Review Special Topics – Physics Education Research  4(1)  010111 Schoenfeld (1985) Mathematical Problem Solving. Academic Press, Florida.
Conclusions ,[object Object],[object Object]

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Phec sep 2011 m wallace

  • 1. Observing the Problem Solving Strategies of Students Marsali Wallace Ross Galloway
  • 2.
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  • 5. Think Aloud http://www.livescribe.com/cgi-bin/WebObjects/LDApp.woa/wa/MLSOverviewPage?sid=4dNdFjpNtrV6
  • 6. The Questions Drawbridge Question A man is trying to push a large stone block across a uniform drawbridge which has a mass of m = 200kg. The mass of the large stone block and the man combined is M = 300kg. The drawbridge is of length L = 5.00m and is held up by a wire. The wire can withstand a maximum tension of 5000N. The vertical distance between the drawbridge and the point where the wire is attached to the wall is h = 4.00m. How far along from the wall can the man push the stone block before the bridge collapses? Assume g = 10 ms -2 Army Cadet Question An Army cadet uses a rope swing to cross a river. He starts on a high platform with his centre of mass 7.16 metres from the ground and grabs onto the rope which is 6m long, to swing. He lets go when the rope is vertical and his centre of mass is 1m off the ground. He needs to travel 5m horizontally to clear the river after letting go of the rope. If he successfully clears the river what is the tension in the rope just before he releases? The cadet’s weight is 80kg.
  • 7.
  • 8. Results: Timeline of problem solving strategies Student 1. Drawbridge Question. Non-Major, Female Minnesota Model Time (Minutes) Code   1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Focus on the problem                                                                                                                                                                                         Describing the physics                                                                                                                                                                                         Planning                                                                                                                                                                                         Execution                                                                                                                                                                                         Evaluation                                                                                                                                                                                         Silence and no writing                                                                                                                                                                                        
  • 9. Results: Successful Student Student 6 FDPEE Model Focus on problem Describe Physics Plan Execute Evaluate Silence and no writing Percentage of time on Each Activity
  • 10. Results: Unsuccessful Student Student 4 FDPEE Model Focus on problem Describe Physics Plan Execute Evaluate Silence and no writing Percentage of time on Each Activity
  • 11.
  • 12.
  • 13. Kohl and Finkelstein, 2008 Kohl, P.B. and Finkelstein, N.D. (2008) “Patterns of multiple representation use by experts and novices during physics problem solving”, Physical Review Special Topics – Physics Education Research 4(1) 010111
  • 14.
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  • 17.