Abstract
This article discusses an activity designed to encourage writing to learn in mathematics. There were three stages of data collection. An assessment, requiring basic algebra only, was completed by118 undergraduates from statistics and calculus courses. Students were given summaries of all participant responses, along with the correct answers. After discussing the results, 25 students wrote about the underlying concepts needed to answer the questions correctly and 38 gave reasons someone might answer the questions incorrectly. The written responses were easy to evaluate and revealed much about misunderstandings. A follow-up survey was given to students to elicit their attitudes.
Résumé
Cet article décrit une activité conçue pour encourager l’écriture à des fins d’apprentissage en mathématiques. La cueillette des données a été réalisée en trois étapes. Une évaluation, qui demandait des notions d’algèbre de base seulement, a été complétée par 118 étudiants dans des cours de statistiques et de calcul différentiel et intégral. Les étudiants ont reçu un résumé de toutes les réponses des participants, ainsi que le corrigé. Après avoir analysé les résultats, 25 étudiants se sont exprimés par écrit sur les concepts sous-jacents nécessaires pour répondre correctement aux questions, alors que 38 autres ont expliqué par écrit les raisons pour lesquelles certaines personnes pouvaient avoir donné des réponses incorrectes. Les commentaires écrits se sont avérés faciles à évaluer et très révélateurs pour ce qui est des incompréhensions. Un questionnaire de suivi a été administré aux étudiants pour connaître leur attitude.
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References
Andreissen, J., & Coirier, P. (1999). Foundations of argumentative text processing. Amsterdam, the Netherlands: Amsterdam University Press.
Borasi, R., & Rose, B. J. (1989). Journal writing and mathematics instruction. Educational Studies in Mathematics, 20(4), 347–365.
Bosse, M. J., & Faulconer, J. (2008). Learning and assessing mathematics through reading and writing. School Science and Mathematics, 108(1), 8–19.
Clarke, D. J., Waywood, A., & Stephens, M. (1993). Probing the structure of mathematical writing. Educational Studies in Mathematics, 25(3), 235–250.
Craig, T. S. (2011). Categorization and analysis of explanatory writing in mathematics. International Journal of Mathematical Education in Science and Technology, 42(7), 867–878.
Cross, D. I. (2009). Creating optimal mathematics learning environments: Combining argumentation and writing to enhance achievement. International Journal of Science and Mathematics Education, 7(5), 905–930.
Doty, L. L. (2012). A mathematician learns the basics of writing instruction: An immersion experience with long-term benefits. Primus: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 22(1), 14–29.
Emig, J. (1977). Writing as a mode of learning. College Composition and Communication, 28(2), 122–128.
Flavell, J. H. (1976). Metacognitive aspects of problem solving. In L. B. Resnick (Ed.), The nature of intelligence (pp. 231–236). Hillsdale, NJ: Lawrence Erlbaum.
Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academies Press.
Knuth, E. J. (2000). Student understanding of the Cartesian connection: An exploratory study. Journal for Research in Mathematics Education, 31(4), 500–507.
Limón, M. (2001). On the cognitive conflict as an instructional strategy for conceptual change: A critical appraisal. Learning and Instruction, 11(4), 357–380.
National Council of Teachers of Mathematics, Commission on Standards for School Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
Niss, M. (1999). Aspects of the nature and state of research in mathematics education. Educational Studies in Mathematics, 40(1), 1–24.
Ntenza, S. P. (2006). Investigating forms of children’s writing in grade 7 mathematics classrooms. Educational Studies in Mathematics, 61(3), 321–345.
Pugalee, D. K. (2001). Writing, mathematics, and metacognition: Looking for connections through students’ work in mathematical problem solving. School Science and Mathematics, 101(5), 236–245.
Pugalee, D. K. (2004). A comparison of verbal and written descriptions of students’ problem solving processes. Educational Studies in Mathematics, 55(1–3), 27–47.
Sterrett, A. (1990). Using writing to teach mathematics. MAA notes, number 16. Washington, DC: Mathematical Association of America.
Tirosh, D., & Tsamir, P. (2004). What can mathematics education gain from the conceptual change approach? And what can the conceptual change approach gain from its application to mathematics education? Learning and Instruction, 14(5), 535–540.
Van Dyke, F., Malloy, E.J., & Stallings, V. (2014). Conceptual writing in college-level mathematics courses and its impact on performance and attitude. International Journal of Mathematical Education in Science and Technology, (ahead-of-print), 1–11.
Van Dyke, F., & White, A. (2004a). Examining students’ reluctance to use graphs. Mathematics Teacher, 97(7), 110–117.
Van Dyke, F., & White, A. (2004b). A tool to use the first day of calculus. Primus: Problems, Resources, and Issues in Mathematics Undergraduate Studies, 14(3), 213–229.
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Van Dyke, F., Malloy, E.J. & Stallings, V. An Activity to Encourage Writing in Mathematics. Can J Sci Math Techn 14, 371–387 (2014). https://doi.org/10.1080/14926156.2014.962711
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DOI: https://doi.org/10.1080/14926156.2014.962711