Why is Ampère's law so hard? A look at middle-division physics

American Journal of Physics

Volumn 74, Issue 4, 2006, Pages 344-350

  Manogue, Corinne A ^a   Browne, Kerry ^b   Dray, Tevian ^a   Edwards, Barbara ^a  

^a OREGON STATE UNIVERSITY   (United States)

^b DICKINSON COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645657393     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.2181179     Document Type: Article

References (37)

1. Paradigms in Physics, 〈http://www.physics.oregonstate.edu/ paradigms〉
2. C. A. Manogue, P. J. Siemens, J. Tate, K. Browne, M. L. Niess, and A. J. Wolfer, "Paradigms in physics: A new upper-division curriculum," Am. J. Phys. 69, 978-990 (2001).
3. C. A. Manogue and K. S. Krane, "The Oregon State University paradigms project: Re-envisioning the upper level," Phys. Today 56 (September), 53-58 (2003).
4. Vector Calculus Bridge Project, 〈http://www.physics.oregonstate.edu/ bridge〉
5. T. Dray and C. A. Manogue, "The vector calculus gap," PRIMUS 9, 21-28 (1999).
6. T. Dray and C. A. Manogue, "Using differentials to bridge the vector calculus gap," Coll. Math. J. 34, 283-290 (2003).
7. T. Dray and C. A. Manogue, "Bridging the gap between mathematics and physics," APS Forum on Education, Spring 2004, pp. 13 and 14, 〈http://www.aps.org/units/fed/newsletters/spring2004/10oregonstate. cfm〉
8. T. Dray and C. A. Manogue, "Bridging the gap between mathematics and the physical sciences," in NSF Collaboratives for Excellence in Teacher Preparation, edited by D. Smith and E. Swanson (Montana State University, Bozeman, in press) (〈http://www.math.oregonstate.edu/bridge/papers/bridge. pdf〉).
9. The Instructor's Guide is password protected; please contact T. Dray for a password.
10. B. Edwards, C. A. Manogue, G. Karakok, and T. Dray (in preparation).
11. D. J. Griffiths, Introduction to Electrodynamics 3rd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1999) p. 231.
12. Reference 11, p. 226.
13. Reference 11, Examples 5.8 and 5.9, pp. 226 and 227.
14. Many students are unfamiliar with this property of linearity.
15. T. Dray and C. A. Manogue, "The geometry of the dot and cross products," (〈http://www.math.oregonstate.edu/bridge/papers/dot+cross. pdf〉).
16. T. Dray and C. A. Manogue, "Conventions for spherical coordinates," Coll. Math. J. 34, 168-169 (2003).
17. Portfolios in Physics, 〈http://www.physics.oregonstate.edu/ portfolios〉
18. L. C. McDermott and E. F. Redish, "AJP Resource Letter: PER-1: Physics education research," Am. J. Phys. 67, 755-767 (1999).
19. D. P. Maloney, T. L. O'Kuma, C. J. Hieggelke, and A. Van Heuvelen, "Surveying students' conceptual knowledge of electricity and magnetism," Am. J. Phys. 69, S12-S23 (2001).
20. C. J. Hieggelke, D. P. Maloney, T. L. O'Kuma, and S. Kanim, E & M TIPERs: Electricity and Magnetism Tasks (Prentice-Hall, Englewood Cliffs, NJ, 2006).
21. E. F. Redish, Teaching Physics with the Physics Suite (Wiley, New York, 2003).
22. K. Heller and P. Heller and the University of Minnesota Physics Education Research Group, "Context rich problems," 〈http://groups.physics. umn.edu/physed/Research/CRP/crintro.html〉
23. R. Chabay and B. Sherwood, Matter & Interactions (Wiley, New York, 2002).
24. A. E. Forman and J. McPhail, "Vygotskian perspective on children's collaborative problem-solving activities," in Contexts for Learning, edited by E. A. Forman, M. Norris, and C. Addison Stone (Oxford University Press, New York, 1993), pp. 213-229.
25. B. E. Litowitz, "Deconstruction in the zone of proximal development," in Contexts for Learning, edited by E. A. Forman, M. Norris, and C. Addison Stone (Oxford University Press, New York, NY, 1993), pp. 184-196.
26. J. V. Wertsch, Vygotsky and the Social Formation of Mind (Harvard University Press, Cambridge, MA, 1985), pp. 58-76.
27. V. Andreevich Krutetskii, The Psychology Of Mathematical Abilities in School Children (University of Chicago Press, Chicago, IL, 1976).
28. Representations in Mathematics, edited by C. Janvier (Erlbaum, Hillsdale, NJ, 1987).
29. A. M. Gleason and D. Hughes Hallett, "Introducing the calculus consortium," Focus on Calculus (Wiley, New York, 1992), issue No. 1, 〈http://www.wiley.com/college/cch/Newsletters/issue1.pdf〉
30. A. Van Heuvelen, "Learning to think like a physicist: A review of research-based instructional strategies," Am. J. Phys. 59, 891-897 (1991).
31. J. Sweller, "Cognitive load during problem-solving: Effects on learning," Cogn. Sci. 12, 257-285 (1988).
32. J. H. Larkin and F. Reif, "Understanding and teaching problem solving in physics," Eur. J. Sci. Educ. 1, 191-203 (1979).
33. M. T. H. Chi, P. J. Feltovich, and R. Glaser, "Categorization and representation of physics problems by experts and novices," Cogn. Sci. 5, 121-152 (1982).
34. Transfer of Learning from a Modern Multidisciplinary Perspective, edited by J. P. Mestre (Information Age Publishing, Greenwich, CT, 2005).
35. A. H. Schoenfeld, "Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics," in Handbook for Research on Mathematics Teaching and Learning, edited by D. Grouws (Macmillan, New York, 1992), pp. 334-370.
36. A. B. Arons, Teaching Introductory Physics (Wiley, New York, 1997).
37. S. Kanim, "Connecting concepts to problem-solving," in Proceedings of the 2001 Physics Education Research Conference; Research at the Interface (Rochester, NY, July 25-26, 2001), edited by S. Franklin, J. Marx, and K. Cummings, pp. 37-40, 〈http://piggy.rit.edu/franklin/PERC2001/Kanim1. pdf〉