Physics Jan. 2011
Overall goals:
- Common difficulties students encounter when solving physics problems in different representations. Â
- 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 problemÂ
- 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: |
derivative -> slope |
|
 |
 |
 |
Identifying integration variable |
 |
 |
 |
 |
Units |
 |
 |
 |
 |
finding f_max |
 |
 |
 |
 |
estimating area/slop |
 |
 |
 |
 |
units of area/slope |