The potential of recreational mathematics to support the development of mathematical learning

References

• Appleby, J., Barnard, T., Marsh, R., Pountney, D., Pickard, P., & Singmaster, D. (2000). Teaching mathematical concepts using puzzles and games. In D. J. Booth (Ed.), Proceedings of the undergraduate mathematics teaching conference (pp. 33–44). Sheffield: Sheffield Hallam University Press; 1999 Sep 6–8.
   Google Scholar
• Australian Council of Deans of Science. (2013). Mathematical sciences standards statement and threshold learning outcomes. Melbourne, VIC: Deakin University.
   Google Scholar
• Barcellos, A. (1979). A conversation with Martin Gardner. The Two-Year College Mathematics Journal, 10(4), 223–244. doi: 10.2307/3026618
   Google Scholar
• Böhm, W. (2017). Interesting topics for bachelor theses. Vienna: Vienna University of Economics.
   Google Scholar
• Bragg, L. A. (2012). The effect of mathematical games on on-task behaviours in the primary classroom. Mathematics Education Research Journal, 24(4), 385–401. doi: 10.1007/s13394-012-0045-4
   Google Scholar
• Brown, M., Brown, P., & Bibby, T. (2008). “I would rather die”: Reasons given by 16-year-olds for not continuing their study of mathematics. Research in Mathematics Education, 10(1), 3–18. doi: 10.1080/14794800801915814
   Google Scholar
• Cockcroft, W. H. (1982). Mathematics counts: Report of the committee of inquiry into the teaching of mathematics in schools. London: Her Majesty’s Stationery Office.
   Google Scholar
• Codding, R. S., Burns, M. K., & Lukito, G. (2011). Meta-analysis of mathematic basic-fact fluency interventions: A component analysis. Learning Disabilities Research & Practice, 26(1), 36–47. doi: 10.1111/j.1540-5826.2010.00323.x
   Web of Science ®Google Scholar
• Devi, S. (1976). Puzzles to puzzle you. Delhi: Orient Paperbacks.
   Google Scholar
• Dyson, F. (2011). Foreword: Recreational mathematics. In M. Pitici (Ed.), The Best writing on mathematics 2011 (pp. xi–xvi). Princeton, NJ: Princeton University Press.
   Google Scholar
• Eisenberg, T. (1991). On building self-confidence in mathematics. Teaching Mathematics and its Applications, 10(4), 154–158. doi: 10.1093/teamat/10.4.154
   Google Scholar
• 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
• Fasanelli, F., Arcavi, A., Bekken, O., Silva, J. C., Daniel, C., Furinghetti, F., … Kahane, J. P. (2002). The political context. In J. Fauvel, & J. Van Maanen (Eds.), History in mathematics education (pp. 1–38). Dordrecht: Springer.
   Google Scholar
• Foster, C. (2013). Mathematical études: Embedding opportunities for developing procedural fluency within rich mathematical contexts. International Journal of Mathematical Education in Science and Technology, 44(5), 765–774. doi: 10.1080/0020739X.2013.770089
   Google Scholar
• Foster, C. (2018). Developing mathematical fluency: Comparing exercises and rich tasks. Educational Studies in Mathematics, 97(2), 121–141. doi: 10.1007/s10649-017-9788-x
   Web of Science ®Google Scholar
• Foster, C. (2019). The fundamental problem with teaching problem solving. Mathematics Teaching, 265, 8–10.
   Google Scholar
• Gardner, M. (1959). The scientific American book of mathematical puzzles & diversions. New York, NY: Simon and Schuster.
   Google Scholar
• Good, C. (2011). We can’t let them graduate unless … . In P. Rowlett (Ed.), HE mathematics curriculum Summit (pp. 15–16). Birmingham: Maths, Stats and OR Network.
   Google Scholar
• Grinstead, C. M., & Snell, J. L. (1998). Introduction to probability (2nd ed.). Providence, RI: American Mathematical Society.
   Google Scholar
• Hankin, R. K. S. (2005). Recreational mathematics with R: Introducing the “magic” package. R News, 5(1), 48–51.
   Google Scholar
• Hollis, L. Y., & Felder, B. D. (1982). Recreational mathematics for young children. School Science and Mathematics, 82(1), 71–75. doi: 10.1111/j.1949-8594.1982.tb17167.x
   Google Scholar
• Ludus Association. (2014). Editorial. Recreational Mathematics Magazine, 1(1), 3.
   Web of Science ®Google Scholar
• McCartney, M. (2012). Introduction. In M. McCartney (Ed.), History of mathematics in the higher education curriculum (pp. 5–8). Birmingham: Maths, Stats and OR Network.
   Google Scholar
• Minor, D. (2015). Summing squares and cubes of integers. Ohio Journal of School Mathematics, 72, 13–17.
   Google Scholar
• Moscovich, I. (2004). The hinged square & other puzzles. New York, NY: Sterling.
   Google Scholar
• Oldfield, B. J. (1991). Games in the learning of mathematics: 1: A classification. Mathematics in School, 20(1), 41–43.
   Google Scholar
• Pólya, G. (2004). How to solve it: A new aspect of mathematical method (2nd ed.). Princeton, NJ: Princeton Science Library.
   Google Scholar
• Rowlett, P., Steckles, K., Loch, B., Szetey, K., & Kelly, A. (2012). Maths Jam: Playing with maths in pubs, an international movement. Australian Mathematical Society Gazette, 39(3), 115–118.
   Google Scholar
• Rowlett, P., Webster, K., Bradshaw, N., & Hind, J. (2019). Evaluation of the maths arcade initiative at five U.K. Universities. The Mathematics Enthusiast, 16(1–3), 451–460.
   Web of Science ®Google Scholar
• Singmaster, D. (1998). Review. American Mathematical Monthly, 105(6), 579–587.
   Google Scholar
• Singmaster, D. (2000). The utility of recreational mathematics. In D. J. Booth (Ed.), Proceedings of the undergraduate mathematics teaching conference (pp. 13–19). Sheffield: Sheffield Hallam University Press; 1999 Sep 6–8.
   Google Scholar
• Singmaster, D. (2016). The utility of recreational mathematics. UMAP Journal, 37(4), 339–379.
   Google Scholar
• Smith, E., & Golding, L. (2018). Use of board games in higher education literature review. MSOR Connections, 16(2), 24–29. doi: 10.21100/msor.v16i2.624
   Google Scholar
• Su, F. E. (2017). Mathematics for human flourishing. The American Mathematical Monthly, 124(6), 483–493. doi: 10.4169/amer.math.monthly.124.6.483
   Web of Science ®Google Scholar
• Sumpter, L. (2015). Recreational mathematics – only for fun? Journal of Humanistic Mathematics, 5(1), 121–138. doi: 10.5642/jhummath.201501.07
   Web of Science ®Google Scholar
• The Quality Assurance Agency for Higher Education. (2015). Subject benchmark statement: Mathematics, statistics and operational research. Gloucester: The Quality Assurance Agency for Higher Education.
   Google Scholar
• Trigg, C. W. (1978). What is recreational mathematics? Definition by example: Paradigms of topics, people and publications. Mathematics Magazine, 51(1), 18–21. doi: 10.1080/0025570X.1978.11976670
   Google Scholar
• Tzanakis, C., Arcavi, A., de Sa, C. C., Isoda, M., Lit, C.-K., Niss, M., … Siu, M.-K. (2002). Integrating history of mathematics in the classroom: An analytic survey. In J. Fauvel & J. Van Maanen (Eds.), History in mathematics education (pp. 201–240). Dordrecht: Springer.
   Google Scholar
• Vankúš, P. (2005). History and present of didactical games as a method of mathematics’ teaching. Acta Didactica Universitatis Comenianae, 5, 53–68.
   Google Scholar