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Students’ conflicting attitudes towards games as a vehicle for learning mathematics: A methodological dilemma

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Abstract

Mathematics games are widely employed in school classrooms for such reasons as a reward for early finishers or to enhance students’ attitude towards mathematics. During a four week period, a total of 222 Grade 5 and 6 (9 to 12 years old) children from Melbourne, Australia, were taught multiplication and division of decimal numbers using calculator games or rich mathematical activities. Likert scale surveys of the children’s attitudes towards games as a vehicle for learning mathematics revealed unexpectedly high proportions of negative attitudes at the conclusion of the research. In contrast, student interview data revealed positive associations between games and mathematical learning. This paper reports on the methodological dilemma of resultant conflicting attitudinal data related to game-playing. Concerns arising from the divergence in the results are raised in this paper. Implications based on the experience of this study may inform educational researchers about future methodological choices involving attitudinal research.

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References

  • Baker, E. L., Herman, J. L., & Yeh, J. P. (1981). Fun and games: Their contributions to the basic skills instruction in elementary schools.American Educational Research Journal, 18(1), 83–92.

    Google Scholar 

  • Board of Studies. (2000).Curriculum and standards framework II: Mathematics. Melbourne: Board of Studies.

    Google Scholar 

  • Bragg, L. A. (2003). Children’s perspectives on mathematics and game playing. In L. Bragg, C. Campbell, G. Herbert & J. Mousley (Eds.),Mathematics education research: Innovation, networking, opportunity (Proceedings of the 26th annual conference of the Mathematics Education Research Group of Australasia, Geelong, (Vol. 1, pp. 160–167). Sydney: MERGA.

    Google Scholar 

  • Bragg, L. A. (2006).The impact of mathematical games on learning, attitudes, and behaviours. Unpublished doctoral thesis, La Trobe University, Melbourne.

  • Bragg, L. A. (2006). Students’ impressions of the value of games for the learning of mathematics. In J. Novotná, H. Moraová, M. Krátká, & N. Stehlíková (Eds.),Proceedings of the 30th annual conference of the International Group for the Psychology of Mathematics Education Vol. 2, pp. 217–224). Prague, Czech Republic: PME.

    Google Scholar 

  • Brannan, R. (1983).Problem solving in mathematics, Grade 8. Lane County Mathematics Project (Vol. 5). Palo Alto, CA: Dale Seymour.

    Google Scholar 

  • Bright, G. W., Harvey, J. G., & Wheeler, M. M. (1985). Learning and mathematics games.Journal for Research in Mathematics Education, Monograph Number 1, 1–189.

    Google Scholar 

  • Di Martino, P., & Zan, R. (2001). Attitude toward mathematics: Some theoretical issues. In M. van den Heuvel-Panhuizen (Ed.),Proceedings of the 25th annual conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 351–358). Utrecht, The Netherlands: PME.

    Google Scholar 

  • Di Martino, P., & Zan, R. (2003). What does ‘positive’ attitude really mean? In N. A. Pateman, B. J. Dougherty & J. T. Zilliox (Eds.),Proceedings of the 27th annual conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 451–458). Honolulu, HI: PME.

    Google Scholar 

  • Dossey, J. A., Mullis, I. V. S., Lindquist, M. M., & Chambers, D. L. (1988).The mathematics report card: Trends and achievement based on the 1986 National Assessment. Princeton, NJ: Educational Testing Service.

    Google Scholar 

  • Ernest, P. (1986). Games: Arationale for their use in the teaching of mathematics in school.Mathematics in School, 15(1), 2–5.

    Google Scholar 

  • Ernest, P. (1996). Varieties of constructivism: A framework for comparison. In L. P. Steffe, P. Nesher, P. Cobb, G. A. Goldin, & B. Greer (Eds.),Theories of mathematical learning (pp. 335–350). Hillsdale, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Fishbein, M., & Ajzen, I. (1975).Belief, attitude, intention and behavior: An introduction to theory and research. Reading, MA: Addison-Wesley.

    Google Scholar 

  • Gay, L. R., & Airasian, P. W. (2000).Educational research (6th ed.). Upper Saddle River, NJ: Prentice-Hall.

    Google Scholar 

  • Gough, J. (1999). Playing (mathematics) games: When is a game not a game?Australian Primary Mathematics Classroom, 4(2), 12–17.

    Google Scholar 

  • Greer, B. (1987). Nonconservation of multiplication and division involving decimals.Journal for Research in Mathematics Education, 18(1), 37–45.

    Article  Google Scholar 

  • Hammond, P., & Vincent, J. (1998). Early mathematics from the keys to life angle. In J. Gough & J. Mousley (Eds.),Mathematics: Exploring all angles (pp. 156–164). Melbourne: Mathematical Association of Victoria.

    Google Scholar 

  • Kloosterman, P., & Gorman, J. (1990). Building motivation in the elementary mathematics classroom.School Science and Mathematics, 90(5), 375–382.

    Article  Google Scholar 

  • Leder, G. (1987). Attitudes towards mathematics. In T. A. Romberg & D. M. Stewart (Eds.),The monitoring of school mathematics (Vol. 2, pp. 261–277). Madison, WI: Wisconsin Centre for Education Research.

    Google Scholar 

  • Lerman, S. (1996). Intersubjectivity in mathematics learning: A challenge to the radical constructivist paradigm?Journal for Research in Mathematics Education, 27(2), 133–150.

    Article  Google Scholar 

  • Lumsden, L. S. (1994). Student motivation to learn.ERIC Digest No. 92. Retrieved September 4, 2003, from http://www.edrs.com/Webstore/Download.cfm?ID=385616&CFID=1933553&CFTOKEN=71460430

  • McDonald, A. S. (2001). The prevalence and effects of test anxiety in school children.Educational Psychology, 21(1), 89–101.

    Article  Google Scholar 

  • McLeod, D. B. (1992). Research on affect in mathematics education: Areconceptualization. In D. A. Grouws (Ed.),Handbook of research on mathematics teaching and learning (pp. 575–596). New York: MacMillan.

    Google Scholar 

  • Okazaki, M., & Kaoyama, M. (2005). Characteristics of 5th graders’ logical development through learning division with decimals.Educational Studies in Mathematics, 60, 217–251.

    Article  Google Scholar 

  • Owens, K. (2005). Substantive communication of space mathematics in upper primary school. In H. L. Chick & J. L. Vincent (Eds.),Proceedings of the 29th annual conference of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 33–40). Melbourne: PME.

    Google Scholar 

  • Piaget, J. (1937).La construction du réel chez l’enfant.[The construction of reality in the child]. Neuchâtel: Delachaux et Niestlé.

    Google Scholar 

  • Reynolds, A. J., & Walberg, H. J. (1992). Aprocess model of mathematics achievement and attitude.Journal for Research in Mathematics Education, 23(4), 306–328.

    Article  Google Scholar 

  • Simon, M. A. (1995). Reconstructing mathematics pedagogy from a constructivist perspective.Journal for Research in Mathematics Education, 26(2), 114–145.

    Article  Google Scholar 

  • Spivey, N. N. (1995). Written discourse: A constructivist perspective. In L. P. Steffe & J. Gale (Eds.),Constructivism in education (pp. 313–329). Hillsdale, NJ: Lawrence Erlbaum.

    Google Scholar 

  • Steinle, V. (2004).Changes with age in students’ misconceptions of decimal numbers. Unpublished Doctor of Philosophy. thesis. University of Melbourne, Melbourne.

  • Swan, P. (1996).Kids and calculators: Using calculators in the primary classroom. Bunbury, WA: A — Z Type.

    Google Scholar 

  • Taylor, L. (1992). Mathematical attitude development from a Vygotskian perspective.Mathematics Education Research Journal, 4(3), 8–23.

    Article  Google Scholar 

  • Tirosh, D., & Graeber, A. (1990). Evoking cognitive conflict to explore preservice teachers’ thinking about division.Journal for Research in Mathematics Education, 21(2), 98–108.

    Article  Google Scholar 

  • von Glasersfeld, E. (1984). An introduction to radical constructivism. In P. Watzlawick (Ed.),The invented reality (pp. 17–40). New York: W. W. Norton.

    Google Scholar 

  • Zan, R., Brown, L., Evans, J., & Hannula, M. S. (2006). Affect in mathematics education: An introduction.Educational Studies in Mathematics, 63(2), 113–121.

    Article  Google Scholar 

  • Zevenbergen, R. (1998). Ethnography in the classroom. In J. A. Malone, B. Atweh, & J. R. Northfield (Eds.),Research and supervision in mathematics and science education (pp. 19–38). Mahwah, NJ: Lawrence Erlbaum.

    Google Scholar 

Download references

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  1. Faculty of Education, 3125, Burwood, VIC, Australia

    Leicha Bragg

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  1. Leicha Bragg
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Bragg, L. Students’ conflicting attitudes towards games as a vehicle for learning mathematics: A methodological dilemma. Math Ed Res J 19, 29–44 (2007). https://doi.org/10.1007/BF03217448

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