How students use mathematical resources in an electrostatics context

American Journal of Physics

Volumn 76, Issue 6, 2008, Pages 570-578

  Meredith, Dawn C ^a   Marrongelle, Karen A ^b  

^a Univ of New Hampshire   (United States)

^b PORTLAND STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 45549103777     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.2839558     Document Type: Article

References (28)

1. Andrea A. diSessa, "Toward an epistemology of physics," Cogn. Instruct. 10, 105-226 (1993).
2. David Hammer, "Student resources for learning introductory physics," Am. J. Phys. 68, S52-S59 (2000).
3. David Hammer, Andy Elby, Rachel Scherr, and Joe Redish, "Resources, Framing and Transfer," in Transfer of Learning from a Modern Multidisciplinary Perspective, edited by Jose Mestre (Information Age Publishing, Greenwich, CT, 2005).
4. Bruce L. Sherin, "How students understand physics equations," Cogn. Instruct. 19, 479-541 (2001).
5. Joan Ferrini-Mundy and Karen Graham, "An overview of the calculus curriculum reform effort: Issues for learning, teaching, and curriculum development," Am. Math. Monthly 98, 627-635 (1991).
6. A. Orton, "Students' understanding of integration," Educ. Stud. Math. 14, 1-18 (1983).
7. Patrick. W. Thompson, "Images of rate and operational understanding of the fundamental theorem of calculus," Educ. Stud. Math. 26, 229-274 (1994).
8. S. Vinner, "The avoidance of visual considerations in calculus students," Focus on Learning Problems in Mathematics 11, 149-156 (1999).
9. L. C. McDermott, "Oersted Medal Lecture 2001: Physics education research: The key to student learning," Am. J. Phys. 69, 1127-1137 (2001).
10. B. Cornu, "Limits," in Advanced Mathematical Thinking, edited by David Tall (Kluwer Academic, Boston, 1991), pp. 153-166.
11. Lillian C. McDermott and Edward F. Redish, "RL-PER 1: Resource letter on physics education research," Am. J. Phys. 67, 755-772 (1999), and references therein.
12. David Tall and Shlomo Vinner, "Concept image and concept definition in mathematics with particular reference to limits and continuity," Educ. Stud. Math. 12, 151-169 (1981).
13. Steven Williams, "Models of limits in college calculus students," J. Res. Math. Educ. 22, 219-236 (1991).
14. Michael Oehrtmam, Ph.D. thesis, University of Texas, Austin, 2002.
15. D. O. Tall and R. L. E. Schwarzenberger, "Conflicts in the learning of real numbers and limits," Math. Teach. 82, 44-49 (1978).
16. Randall Harrington, Ph.D. thesis, University of Washington, 1995.
17. Stephen Kanim, Ph.D. thesis, University of Washington, 1999.
18. Michael C. Wittmann, "The object coordination class applied to wavepulses: Analysing student reasoning in wave physics," Int. J. Sci. Educ. 24, 97-118 (2002).
19. K. A. Marrongelle, Kelly Black, and Dawn Meredith, "Studio Calculus and Physics: Interdisciplinary Mathematics with Active Learning," in Integrated Mathematics: Choices and Challenges, edited by Sue Ann McGraw (National Council of Teachers of Mathematics, Reston, VA, 2003), pp. 103-115.
20. David Halliday, Robert Resnick, and Jearl Walker, Fundamentals of Physics (Wiley, New York, 2003), 6th ed.; Raymond A. Serway and Robert J. Beichner, Physics for Scientists and Engineers (Saunders College Publishing, Fort Worth, 2000), 5th ed.
21. 6t) N/C. As it stands, the electric field is essentially O during the very short time inside the plates. Only Georgette realized this error and was somewhat confused by it.
22. Patrick W. Thompson and Jason Silverman, "The Concept of Accumulation in Calculus," in Making the Connection: Research and Teaching in Undergraduate Mathematics, edited by M. Carlson and C. Rasmussen (Mathematical Association of America, Washington, DC) (in press).
23. Corinne A. Manogue, Kerry Browne, Tevian Dray, and Barbara Edwards, "Why is Ampere's law so hard? A look at middle-division physics," Am. J. Phys. 74, 344-350 (2006).
24. E. F. Redish, "Problem Solving and the Use of Math in Physics Courses," in Proceedings of the Conference on World View on Physics Education 2005: Focusing on Change, Delhi, India, (to be published), arXiv:physics/0608268.
25. The tutorial and homework are available at (pubpages.unh.edu/∼dawnm/ connectm&m.html).
26. Arnold B. Aarons, A Guide to Introductory Physics Teaching (Wiley, New York, 1990).
27. Edward F. Redish, Rachel E. Scherr, and Jonathan Tuminaro, "Reverse-engineering the solution of a simple physics problem: Why learning physics is harder than it looks," Phys. Teach. 44, 293-300 (2006).
28. Jonathan Tuminaro, Ph.D. thesis, University of Maryland, College Park (2004).