• Leicha A. BraggEmail author


In an effort to engage children in mathematics learning, many primary teachers use mathematical games and activities. Games have been employed for drill and practice, warm-up activities and rewards. The effectiveness of games as a pedagogical tool requires further examination if games are to be employed for the teaching of mathematical concepts. This paper reports research that compared the effectiveness of non-digital games with non-game but engaging activities as pedagogical tools for promoting mathematical learning. In the classrooms that played games, the effects of adding teacher-led whole class discussion was explored. The research was conducted with 10–12-year-old children in eight classrooms in three Australian primary schools, using differing instructional approaches to teach multiplication and division of decimals. A quasi-experimental design with pre-test, post-test and delayed post-test was employed, and the effects of the interventions were measured by the children’s written test performance. Test results indicated lesser gains in learning in game playing situations versus non-game activities and that teacher-led discussions during and following the game playing did not improve children’s learning. The finding that these games did not help children demonstrate a mathematical understanding of concepts under test conditions suggests that educators should carefully consider the application and appropriateness of games before employing them as a vehicle for introducing mathematical concepts.

Key words

achievement tests decimals games mathematics mathematical learning pedagogical tools 


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  1. Afari, E., Aldridge, J., & Fraser, B. (2012). Effectiveness of using games in tertiary-level mathematics classrooms. International Journal of Science and Mathematics Education, online, 1–24.Google Scholar
  2. Amorim, M. A. (2003). “What is my avatar seeing?”: The coordination of “out-of-body” and “embodied” perspectives for scene recognition across views. Visual Cognition, 10(2), 157–199.CrossRefGoogle Scholar
  3. Asplin, P., Frid, S. & Sparrow, L. (2006). Game playing to develop mental computation: A case study. In P. Grootenboer, R. Zevenbergen & M. Chinnappan (Eds.), Identities, cultures, and learning spaces: Proceedings of the 29th annual conference of the Mathematics Education Research Group of Australasia, Canberra (pp. 46–53). Adelaide: MERGA.Google Scholar
  4. Avraamidou, A. & Monaghan, J. (2009). Abstraction through game play. In M. Tzekaki, M. Kaldrimidou & H. Sakonidis (Eds.), Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 73–80). Thessaloniki, Greece: PME.Google Scholar
  5. Booker, G. (1996). Instructional games in the teaching and learning of mathematics. In H. Forgasz, T. Jones, G. Leder, J. Lynch, K. Maguire & C. Pearn (Eds.), Mathematics: Making connections (pp. 77–82). Brunswick, Victoria: The Mathematical Association of Victoria.Google Scholar
  6. Booker, G. (2000). The maths game: Using instructional games to teach mathematics. Wellington, New Zealand: New Zealand Council for Educational Research.Google Scholar
  7. Booker, G. (2004). Playing to win: Using games for motivation and the development of mathematical thinking. In A. Rogerson (Ed.), The future of mathematics education. Proceedings of the Mathematics into the 21st Century International Conference (pp. 16–20). Poland: Ciechocinek.Google Scholar
  8. 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 (Vol. 1, pp. 160–167). Deakin University, Geelong: MERGA.Google Scholar
  9. Bragg, L. A. (2006a). Hey, I’m learning this. Australian Primary Mathematics Classroom, 11(4), 4–9.Google Scholar
  10. Bragg, L. A. (2006b). The impact of mathematical games on learning, attitudes, and behaviours., Unpublished Doctoral Thesis. La Trobe University, Bundoora, Australia.Google Scholar
  11. Bragg, L. A. (2007). Students’ conflicting attitudes towards games as a vehicle for learning mathematics: A methodological dilemma. Mathematics Education Research Journal, 19(1), 29–44.CrossRefGoogle Scholar
  12. Brannan, R. (1983). Problem solving in mathematics, Grade 8. Lane County Mathematics Project (Vol. 5). Palo Alto, USA: Dale Seymour Publications.Google Scholar
  13. Bright, G. W., Harvey, J. G. & Wheeler, M. M. (1983). Use of a game to instruct on logical reasoning. School Science and Mathematics, 83(5), 396–405.CrossRefGoogle Scholar
  14. 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
  15. Cai, J., Perry, B., Wong, N.-Y. & Wang, T. (2009). What is effective teaching? In J. Cai, G. Kaiser, B. Perry & N.-Y. Wong (Eds.), Effective mathematics teaching from teachers’ perspectives: National and cross-national studies. Rotterdam: Sense.Google Scholar
  16. Duit, R. (1995). The constructivist view: A fashionable and fruitful paradigm for science education research and practice. In L. P. Steffe & J. Gale (Eds.), Constructivism in education (pp. 271–285). Hillsdale, New Jersey: Lawrence Erlbaum Associates, Publishers.Google Scholar
  17. Ell, F. (2007). Keeping going at country school: Sustaining numeracy project practices Findings from the New Zealand Numeracy Development Project 2006. Wellington, New Zealand: Ministry of Education.Google Scholar
  18. Ernest, P. (1986). Games: A rationale for their use in the teaching of mathematics in school. Mathematics in School, 15(1), 2–5.Google Scholar
  19. Ernest, P. (1989). Games: A rationale for their use in the teaching of mathematics. In P. Ernest (Ed.), Mathematics teaching: The state of the art (pp. 88–95). London: Falmer Press.Google Scholar
  20. Gay, L. R., Mills, G. E. & Airasian, P. W. (2012). Educational research: Competencies for analysis and applications (Vol. 10th). USA: Pearson.Google Scholar
  21. Gee, J. P. (2007). What video games have to teach us about learning and literacy (2nd ed.). New York: Palgrave Macmillan.Google Scholar
  22. Gerdes, P. (2001). Exploring the game of “julirde”: A mathematical-educational game played by fulbe children in Cameroon. Teaching Children Mathematics, 7(6), 321–327.Google Scholar
  23. Gough, J. (1993). Playing games to learn maths. In J. Mousley & M. Rice (Eds.), Mathematics of primary importance (pp. 218–221). Brunswick, Victoria: The Mathematical Association of Victoria.Google Scholar
  24. Greer, B. (1987). Nonconservation of multiplication and division involving decimals. Journal for Research in Mathematics Education, 18(1), 37–45.CrossRefGoogle Scholar
  25. Hart, K. (Ed.). (1981). Children’s understanding of mathematics (pp. 11–16). London: John Murray.Google Scholar
  26. Harvey, J. G. & Bright, G. W. (1985). Basic math games. Palo Alto, California: Dale Seymour Publications.Google Scholar
  27. Higgins, S. (2000). The logical zoombinis. Teaching Thinking, 1(1).Google Scholar
  28. Kamii, C. K. & DeClark, G. (1985). Young children reinvent arithmetic: Implications of Piaget’s theory. New York: Teachers College Press.Google Scholar
  29. Kamii, C. K. & Rummelsburg, J. (2008). Arithmetic for first graders lacking number concepts. Teaching Children Mathematics, 14(7), 389–394.Google Scholar
  30. Lee, Y. L. (2009). Enhancement of fractions from playing a game. In R. Hunter, B. Bicknell & T. Burgess (Eds.), Crossing divides: MERGA 32: Proceedings of the 32nd Annual Conference of the Mathematics (Vol. 1, pp. 323–330). Palmerston North, NZ: MERGA.Google Scholar
  31. Lim-Teo, S. K. (1991). Games in the mathematics classroom. Teaching and Learning, 11(2), 47–56.Google Scholar
  32. Lovitt, C. & Clarke, D. M. (1988). The mathematics curriculum and teaching program professional development package (Vol. 1). Canberra: Curriculum Development Centre.Google Scholar
  33. Maloy, R. W., Edwards, S. A. & Anderson, G. (2010). Teaching math problem solving using a web-based tutoring system, learning games, and students’ writing. Journal of STEM Education, 11(1&2), 82–89.Google Scholar
  34. Middleton, J. A. (1995). A study of intrinsic motivation in the mathematics classroom: A personal constructs approach. Journal for Research in Mathematics Education, 26(3), 254–279.CrossRefGoogle Scholar
  35. Nilsson, P. (2007). Different ways in which students handle chance encounters in the explorative setting of a dice game. Educational Studies in Mathematics, 66(3), 293–315.CrossRefGoogle Scholar
  36. Nisbet, S. & Williams, A. (2009). Improving students’ attitudes to chance with games and activities. Australian Mathematics Teacher, 65(3), 25–37.Google Scholar
  37. Oldfield, B. J. (1991). Games in the learning of mathematics—Part 1: Classification. Mathematics in School, 20(1), 41–43.Google Scholar
  38. Onslow, B. (1990). Overcoming conceptual obstacles: The qualified use of a game. School Science and Mathematics, 90(7), 581–592.CrossRefGoogle Scholar
  39. Oritz, E. (2003). Research findings from games involving basic facts operations and algebraic thinking at a PDS. Paper presented at the Annual Holmes Partnership Conference, Washington, DC.Google Scholar
  40. Peters, S. (1998). Playing games and learning mathematics: The results of two intervention studies. International Journal of Early Years Education, 6(1), 49–58.CrossRefGoogle Scholar
  41. Prensky, M. (2005). Don’t bother me Mom—I’m learning. USA: Paragon House.Google Scholar
  42. Prensky, M. (2010). Teaching digital natives: Partnering for real learning. USA: Corwin.Google Scholar
  43. Provenzo, E. F. (1991). Video kids: Making sense of Nintendo. Cambridge, MA: Harvard University Press.Google Scholar
  44. Ramani, G. & Siegler, R. S. (2008). Promoting broad and stable improvements in low-income children’s numerical knowledge through playing number board games. Child Development, 79(1), 375–394.CrossRefGoogle Scholar
  45. Roche, A. (2010). Helping students to make sense of decimal place value. Australian Primary Mathematics Classroom, 15(2), 4–10.Google Scholar
  46. Rodrigo, M. M. T. (2011). Dynamics of student cognitive-affective transitions during a mathematics game. Simulation & Gaming, 42(1), 85–99.CrossRefGoogle Scholar
  47. Saifer, S. (2010). Higher order play and its role in development and education. Psychological Science and Education, 3, 38–50.Google Scholar
  48. Siegler, R. S. & Ramani, G. B. (2008). Playing linear numerical board games promotes low-income children’s numerical development. Developmental Science, 11(5), 655–661.CrossRefGoogle Scholar
  49. Skemp, R. (1993). Structured activities for intelligent learning. Calgary, Canada: EEC Ltd.Google Scholar
  50. Sullivan, P., Clarke, D. M. & O’Shea, H. (2009). Students’ opinions about characteristics of their desired mathematics lessons. In L. Sparrow, B. Kissane & C. Hurst (Eds.), Shaping the future of mathematics education: Proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia (pp. 531–539). Fremantle: MERGA.Google Scholar
  51. Sullivan, P., Mousley, J., & Jorgensen, R. (2009). Tasks and pedagogies that facilitate mathematical problem solving. In B. Kaur, Y. B. Har & M. Kapur (Eds.), Mathematical problem solving : Yearbook 2009 (pp. 17–42). Singapore: World Scientific Publishing Co.CrossRefGoogle Scholar
  52. Swan, P. (1996). Kids and calculators: Using calculators in the primary classroom. Bunbury, Western Australia: A-Z Type.Google Scholar
  53. Thomas, W. E. & Grouws, D. A. (1984). Inducing cognitive growth in concrete-operational college students. School Science and Mathematics, 84(3), 233–243.CrossRefGoogle Scholar
  54. 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.CrossRefGoogle Scholar
  55. Wiersma, W. (2009). Research methods in education: An introduction (9th ed.). Needham Heights, Massachusetts: Allyn and Bacon.Google Scholar
  56. Wood, T. (1995). From alternative epistemologies to practice in education: Rethinking what is means to teach and learn. In L. P. Steffe & J. Gale (Eds.), Constructivism in education (pp. 331–339). Hillsdale, New Jersey: Lawrence Erlbaum Associates, Publishers.Google Scholar
  57. Young-Loveridge, J. M. (2004). Effects on early numeracy of a program using number books and games. Early Childhood Research Quarterly, 19, 82–98.CrossRefGoogle Scholar

Copyright information

© National Science Council, Taiwan 2012

Authors and Affiliations

  1. 1.Faculty of Arts and Education, School of EducationDeakin UniversityBurwoodAustralia

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