Examining the effects of writing on conceptual and procedural knowledge in calculus

Educational Studies in Mathematics

Volumn 42, Issue 2, 2000, Pages 165-177

  Porter, Mary K ^a   Masingila, Joanna O ^b  

^a SAINT MARY'S COLLEGE   (United States)

^b SYRACUSE UNIVERSITY   (United States)

Author keywords

Calculus; Conceptual understanding; Procedural understanding; Writing; Writing to learn mathematics

Indexed keywords

EID: 3543028346     PISSN: 00131954     EISSN: 15730816     Source Type: Journal    
DOI: 10.1023/A:1004166811047     Document Type: Article

References (29)

1. Allen, N.B.R.: 1992, 'A study of metacognitive skill as influenced by expressive writing in college introductory algebra classes', (Doctoral dissertation, Louisiana State University, 1991). Dissertation Abstracts International 53, 432A.
2. Brandau, L.: 1990, 'Rewriting our stories of mathematics', in A. Sterrett (ed.), Using Writing to Teach Mathematics, Mathematical Association of America, Washington, DC, pp. 73-77.
3. Doherty, B.J.: 1996, 'The write way: A look at journal writing in first-year algebra', Mathematics Teacher 89, 556-560.
4. Gopen, G.D. and Smith, D.A.: 1990, 'What's an assignment like you doing in a course like this?: Writing to learn mathematics', The College Mathematics Journal 21, 2-19.
5. Guckin, A.M.: 1992, 'The role of mathematics informal writing in college mathematics instruction', (Doctoral dissertation, University of Minnesota, 1992). Dissertation Abstracts International 53, 1435A.
6. Harel, G. and Sowder, L.: 1998, 'Students' proof schemes: Results from exploratory studies', in A.H. Schoenfeld, J. Kaput, E. Dubinsky (eds), Research in Collegiate Mathematics Education III, American Mathematical Society, Providence, RI, pp. 234-283.
7. Heid, M.K.: 1988, 'Resequencing skills and concepts in applied calculus using the computer as a tool', Journal for Research in Mathematics Education 19, 3-25.
8. Hiebert, J. and Carpenter, T.: 1992, 'Learning and teaching with understanding', in D. Grouws (ed.), Handbook of Research on Mathematics Teaching and Learning, Macmillan Publishing Company, New York, pp. 65-97.
9. Hiebert, J. and Lefevre, P.: 1986, 'Conceptual and procedural knowledge in mathematics: An introductory analysis', in J. Hiebert (ed.), Conceptual and Procedural Knowledge: The Case of Mathematics, Lawrence Erlbaum Associates, Hillsdale, NJ, pp. 1-27.
10. Judson, P.T.: 1988, 'Effects of modified sequencing of skills and applications in introductory calculus', Doctoral dissertation, University of Texas at Austin, 1988, Dissertation Abstracts International 49, 1397A.
11. Judson, P.T.: 1990, 'Elementary business calculus with computer algebra', Journal of Mathematical Behavior 9, 153-157.
12. Miller, L.D.: 1992, 'Teacher benefits from using impromptu writing prompts in algebra classes', Journal for Research in Mathematics Education 23, 329-340.
13. Morgan, C.: 1998, Writing Mathematically: The Discourse of Investigation, Falmer Press, London.
14. Movshovitz-Hadar, N., Zaslavsky, O. and Inbar, S.: 1987, 'An empirical classification model for errors in high school mathematics', Journal for Research in Mathematics Education 18, 3-14.
15. Nahrgang, C.L. and Petersen, B.T.: 1986, 'Using writing to learn mathematics', Mathematics Teacher 79, 461-465.
16. Oaks, A.B.: 1988, 'The effects of the interaction of conception of mathematics and affective constructs on college students in remedial mathematics', Doctoral dissertation, University of Rochester, 1987. Dissertation Abstracts International 49, 54A.
17. Oaks, A.B.: 1990, 'Writing to learn mathematics: Why do we need it and how can it help us?', paper presented at Association of Mathematics Teachers of New York State Conference, November 1990, Ellenville, NY.
18. Orton, A.: 1983a, 'Students' understanding of differentiation', Educational Studies in Mathematics 14, 235-250.
19. Orton, A.: 1983b, 'Students' understanding of integration', Educational Studies in Mathematics 14, 1-18.
20. Palmiter, J.R.: 1986, 'The impact of a computer algebra system on college calculus', Doctoral dissertation, The Ohio State University, 1986. Dissertation Abstracts International 47, 1640A.
21. Palmiter, J.R.: 1991, 'Effects of computer algebra systems on concept and skill acquisition in calculus', Journal for Research in Mathematics Education 22, 151-156.
22. Porter, M.K.: 1996, 'The effects of writing to learn mathematics on conceptual understanding and procedural ability in introductory college calculus', Doctoral dissertation, Syracuse University, 1996. Dissertation Abstracts International 58, 2576A.
23. Pugalee, D.: 1997, 'Connecting writing to the mathematics curriculum', Mathematics Teacher 90, 308-310.
24. Rose, B.J.: 1989, 'Using expressive writing to support the learning of mathematics', Doctoral dissertation, University of Rochester, 1989. Dissertation Abstracts International 50, 867A.
25. Rose, B.J.: 1990, 'Using expressive writing to support mathematics instruction: Benefits for the student, teacher, and classroom', in A. Sterrett (ed.), Using Writing to Teach Mathematics, Mathematical Association of America, Washington, DC, pp. 63-72.
26. Schoenfeld, A.H.: 1985, Mathematical Problem Solving, Academic Press, New York.
27. Skemp, R.R.: 1976, 'Relational understanding and instrumental understanding', Mathematics Teaching 77, 20-26.
28. Stehney, A.K.: 1990, 'A writing program and its lessons for mathematicians', in A. Sterrett (ed.), Using Writing to Teach Mathematics, Mathematical Association of America, Washington, DC, pp. 26-29.
29. Youngberg, S.A.T.: 1990, 'The effect of writing assignments on student achievement in a college level elementary algebra class', Doctoral dissertation, University of Iowa, 1989. Dissertation Abstracts International 50, 2819A.