Physics Jan. 2011

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Overall goals:

  • Common difficulties students encounter when solving physics problems in different representations.  
  • Hints that may to help students overcome these difficulties

Discussion

  • Students had most difficulty when problems were presented to students graphically
  • Students seemed to gain representational competence as they progressed through interviews. This would suggest that explicit practice would be very beneficial
  • Students had difficulty generating any integral that was required to solve problem 
  • Students had difficulty using symmetry to solve problem

Summary of difficulties students had with each presentation

Number

Picture

Function

Graph

Algebraic computation

Associating symbols with the picture

Algebraic computation

calculus processes for finding features:

Associating symbols with quantities

Writing down a function from the picture:

Calculus computation

integral -> area

Units

Ex: Area as a function of distance

Appropriate application of formulae for special cases:
 If f(x) = kx^2, then
U(x) /= 1/2 kx^2)

derivative -> slope

 

 

 

Identifying integration variable

 

 

 

 

Units

 

 

 

 

finding f_max

 

 

 

 

estimating area/slop

 

 

 

 

units of area/slope