SPECIAL ISSUE PAPER
Shaping Mathematics into Stories by means of Propp’s Narratemes
 
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Postdoc ICLON/ Secondary school math teacher, Stedelijk Gymnasium Leiden, 2316 ES Leiden, THE NETHERLANDS
2
ICLON Graduate School of Teaching, Leiden University, P.O. Box 905, 2300 AX Leiden, THE NETHERLANDS
Online publish date: 2017-11-19
Publish date: 2017-11-19
 
EURASIA J. Math., Sci Tech. Ed 2018;14(2):657–669
KEYWORDS
This article belongs to the special issue "Literature and the Arts in Mathematical Education".
ABSTRACT
For a few decades now, scholars have tried to make mathematics education more meaningful and motivating by using narratives. However, there still remains a gap between the theory of narratives and classroom practice. In this paper we provide two design heuristics for teachers by which to bridge this gap. We discuss Dietiker’s mathematical story framework, based on narratology, and present a design heuristic based on this framework by which to design mathematical stories. We extend this heuristic on the basis of the work of the Russian formalist Vladimir Propp, who analyzed Russian folktales. He found that 31 irreducible narrative elements, called functions or narratemes, can be distinguished. We exemplify our heuristics by means of two mathematical stories, one of which concerns Kepler’s conjecture. The value of this approach is that it provides mathematics teachers with a heuristic story framework that is suitable for designing or redesigning mathematical stories.
 
REFERENCES (30)
1.
Adler, J. M. (2008). Two Modes of Thought: The Narrative/Paradigmatic Disconnect in the Bailey Book Controversy, Arch. Sex. Behav., 37, 422–425. doi:10.1007/s10508-008-9318-0.
 
2.
Albool, R. M. (2013a). The storytelling strategy in teaching mathematics may increase students’ abilities to solve high order questions and word problems. 5th International Conference on Education and New Learning Technologies, Barcelona, Spain 1-3 July, 2013, EDULEARN13 Proceedings.
 
3.
Albool, R. M. (2013b). The Effect of Utilizing Storytelling Strategy in Teaching Mathematics on Grade Four Students’ Achievement and Motivation towards Learning Mathematics. International Conference the future of education second edition. New perspective in science education, 14-15 march 2013.
 
4.
Bal, M. (2009). Narratology: Introduction to the theory of narrative (3rd ed.). Toronto: University of Toronto Press.
 
5.
Balakrishnan, C. (2008). Teaching secondary school mathematics through storytelling (Doctoral dissertation). Fraser University.
 
6.
Boström, A. (2006). Sharing lived experience: How upper secondary school chemistry teachers and students use narratives to make chemistry more meaningful (Doctoral dissertation). Stockholm University, The Stockholm Institute of Education, Department of Curriculum Studies and Communication (LHS).
 
7.
Brendel, D. H. (2000). Philosophy of mind in the clinic: The relation between causal and meaningful explanation in psychiatry. Harvard Review of Psychiatry, 8, 184–191.
 
8.
Bruner, J. (1986). Actual minds, possible worlds. Cambridge, MA: Harvard University Press.
 
9.
Bruner, J. S. (2002). Making stories, law, literature, life. New York: Farrer, Straus and Giroux.
 
10.
Burton, L. (2003). Children’s Mathematical Narratives as Learning Stories. In: B. van Oers (Eds). Narratives of childhood. Theoretical and practical explorations for the innovation of early childhood education (pp. 51-67). Amsterdam: Vrije Universiteit.
 
11.
Dietiker, L. (2015a). A Mathematical story: a metaphor for mathematics curriculum. Educational Studies in Mathematics November 2015, 90(3), 285–302. doi:10.1007/s10649-015-9627-x.
 
12.
Dietiker, L. (2012). The Mathematics Textbook as a Story: A Novel Approach to the Interrogation of Mathematics Curriculum (Doctoral Dissertation). Michigan State University.
 
13.
Dietiker, L. (2013). Mathematical texts as narrative: Rethinking curriculum. For the Learning of Mathematics, 33(3), 14-19.
 
14.
Dietiker, L. (2015b). Shaping Mathematics into Compelling Stories, Educational Designer. Journal of the international society for design and development in education, 2(8).
 
15.
Doxiadis, A. (2003). Embedding Mathematics in the Soul: Narrative As a Force in Mathematics Education. Opening address to the Third Mediterranean Conference of Mathematics Education, Athens, Greece, January 3, 2003. Retrieved from www.apostolosdioxiadis.com.
 
16.
Doxiadis, A., & Mazur, B. (2012). Circles Disturbed: The Interplay of Mathematics and Narrative. New Jersey, USA: Princeton University Press.
 
17.
Drake, C. (2006). Using mathematics life stories to understand the implementation of mathematics education reform. Journal of Mathematics Teacher Education, 9, 579-608. doi:10.1007/s10857-006-9021-9.
 
18.
Egan, K. (1988). Teaching as storytelling: An alternative approach to teaching and curriculum. London, UK: Routledge.
 
19.
Freudenthal, H. (1991). Revisiting Mathematics Education, China Lectures. Dordrecht: Kluwer Academic Publishers.
 
20.
Gowers, T. (2012). Vividness in Mathematics and Narrative. In Doxiadis, A., Mazur B., Circles Disturbed: The Interplay of Mathematics and Narrative, New Jersey, USA: Princeton University Press.
 
21.
Healy, L., & Sinclair, N. (2007. If this is our mathematics, what are our stories? Int. J. Comput. Math. Learning, 12, 3-21, doi:10.1007/s10758-006-9109-4.
 
22.
Hersh, R. (1997). What is mathematics really? Oxford, UK: Oxford University Press.
 
23.
Hobbs, L., & Davis, R. (2013). Narrative pedagogies in science, mathematics and technology. Research in Science Education, 13(3), 1289-1305. doi:10.1007/s11165-012-9302-5.
 
24.
Kaasila, R., Hannula, M. S., Laine, A., & Pekhonen, E. (2006). Autobiographical Narratives, Identity and View of Mathematics, in European research in Mathematics Education IV. Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education, Universitat Ramon Llull, Barcelona, p. 215-224.
 
25.
Propp, V. (1928). Morphology of the Folktale. Trans., Laurence Scott. 2nd ed. Austin: University of Texas Press, 1968.
 
26.
Schiro, M. (2004). Oral storytelling and teaching mathematics: Pedagogical and multicultural perspectives. Thousand Oaks, CA: Sage Publications.
 
27.
Soto y Koelemeijer, G. (2008). Welke problemen kunnen zwakke leerlingen ondervinden als gevolg van de structuur van het wiskundeboek? (Unpublished master thesis). ICLON-Leiden.
 
28.
Weinberg, A., Wiesner, E., & Fukawa-Connelly, T. (2016). Mathematics lectures as narratives: Insights from network graph methodology. Educational Studies in Mathematics, 91(2), 203-226. doi:10.1007/s10649-015-9663-6.
 
29.
Wiedijk, F., Geuvers, H., & Urban, J. (2016). Een wiskundig bewijs correct bewezen, De meest efficiënte manier om bollen op te stapelen. NAW, 5(17), nr. 3.
 
30.
Zazkis, R., & Liljedahl, P. (2009). Teaching Mathematics as Storytelling. Rotterdam, The Netherlands: Sense Publishers.
 
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ISSN:1305-8215