What Does Brain Research Say about Teaching and Learning Mathematics?

Allan Leslie White

Abstract


Brain research has shaken our ideas of the structure of the brain and how the brain works. Gone are the ancient ideas of comparing the brain to a machine. Neuroplasticity describes the remarkable ways in which the brain adapts and transforms itself as a result of a change in stimuli. Cognitive exercises have been designed and trialled that improve memory, problem solving abilities, and language skills in aged subjects and in children, as well as reversing the aging process by twenty to thirty years in some adults. Since the decline of behaviourism as a major theoretical influence upon mathematics education, there have been a number of learning theories emphasising thinking and the influences of the social and cultural contexts. Although, brain research is in its infancy, the question arises as to what does brain research add to mathematics teaching and learning in addressing student needs and developing their potential?


Keywords


Teaching and learning; neuroplasticity; behaviourism

Full Text:

PDF

References


Attard, C. (2010). Students' experiences of mathematics during the transition from primary to secondary school. Paper presented at the 33rd annual conference of the Mathematics Education Research Group of Australasia, Fremantle, Perth.

Attard, C. (2011a). Engagement with mathematics: The influence of teachers. Southeast Asian Mathematics Education Journal, 1(1), 31-39.

Attard, C. (2011b). “My favourite subject is maths. For some reason no-one really agrees with me”: Student perspectives of mathematics teaching and learning in the upper primary classroom. Mathematics Education Research Journal, 23(3), 363-377.

Attard, C. (2012). The influence of pedagogy on student engagement with mathematics during the middle years of schooling. In A. L. White & U. H. Cheah (Eds.), Transforming School Mathematics Education in the 21st Century (pp. 140-157). Penang:SEAMEO RECSAM

Becker, J. P., & Jacobs, B. (2000). The politics of California school mathematics. The antireform of 1997–99.Phi Delta Kappan, 81(7), 529–537.

Bloom, B. S., Englehart, M. D., Furst, E. J., Hill, W. H., & Krathwohl, D. R.

(1956).Taxonomy of Educational Objectives: The Classification of Educational Goals. Handbook I: Cognitive Domain. New York: Longmans, Green & Co.

Boaler, J. (2012). When Academic Disagreement Becomes Harassment and Persecution. Retrieved 20 October 2012 from http://www.stanford.edu/~joboaler/

Brousseau, G. (1984). The crucial role of the didactical contract in the analysis and construction of situations in teaching and learning mathematics. In H. G. Steiner (Ed.), Theory of mathematics education (pp. 110−119). Bielefeld, Germany: Universität Bielefeld.

Clements, M. A. (2003). Professional practice in mathematics education: Introduction. In A. J. Bishop, M. A. Clements, C. Keitel, J. Kilpatrick, & F. Leung (Eds.), Second international handbook of mathematics education (pp. 637-641). Dordrecht, The Netherlands: Kluwer Academic Publishers.

Clements, M. A. (2004). Pre-service Teacher Education: Its time for a rethink. Keynote address delivered at the EduCATE 2004 Conference organized by the Faculty of Cognitive Sciences and Human Development (UNIMAS) in collaboration with the Bahagian Pendidikan Guru (Kementerian Pelajaran Malaysia). Kuching Sarawak Malaysia.

Doidge, N. (2008). The brain that changes itself: Stories of personal triumph from the frontiers of brain science (Revised Edition).Melbourne: Scribe Publications Pty Ltd.

Fair Go Team NSW Department of Education and Training. (2006). School is for me:pathways to student engagement. Sydney: NSW Department of Education and Training, Sydney, Australia.

Gagne, R. M. (1968). Contributions of learning to human development. Psychological Review, 75, 177-191.

Jorgenson, R., & Lowrie, T. (2012).Digital games for learning mathematics: possibilities and limitations. In J. Dindyal, L. P. Cheng & S. F. Ng (Eds.), Mathematics education:Expanding horizons, (Proceedings of the 35th annual conference of the Mathematics Education Research Group of Australasia, eBook, pp. 378-384). Singapore: MERGA Inc.

Leung, F. K. S. (2012). What can and should we learn from international studies of mathematics achievement? In J. Dindyal, L. P. Cheng & S. F. Ng (Eds.), Mathematics education: Expanding horizons, (Proceedings of the 35th annual conference of the Mathematics Education Research Group of Australasia, eBook,, pp. 34-60). Singapore:MERGA Inc.

Leung, F. K. S., Graf, K-D., & Lopez-Real, F. J. (2006). Mathematics education in different cultural traditions: A comparative study of East Asia and the West - A discussion document. In F. K. S. Leung, K-D Graf, F. J. Lopez-Real (Eds.), Mathematics education in different traditions – A comparative study of East Asia and the West (pp. 1-20). New York, NY: Springer.

Lowrie, T. (2005). Problem solving in technology rich contexts: Mathematics sense making in out-of-school environments. Journal of Mathematical Behavior, 24, 275–286.

Ministry of Education (MOE) (2007). Ministry of Education Mathematics Syllabus – Primary, Singapore: Curriculum Planning and Developmental Division.

Munns, G., & Martin, A. J. (2005). It's all about MeE: A motivation and engagement framework. Paper presented at the Australian Association for Academic Research FocusConference, Cairns. Retrieved 28 September 2012 from http://www.aare.edu.au/05pap/mun05400.pdf

National Council of Teachers of Mathematics (NCTM).(1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author

Schoenfeld, A. (2004).The Math Wars. Educational Policy, 18(1), 253-286.

Sembiring, R. K., Hoogland, K., & Dolk, M. (2010). A decade of PMRI in Indonesia. Utrecht: APS International.

Skemp, R. R. (1976). Relational understanding and instrumental understanding. Mathematics Teaching, 77, 20-26.

Skinner, B. F. (1953). Science and human behavior. New York: Free Press.

Sousa, D. A. (2008). How the brain learns mathematics. Thousand Oaks, CA: Corwin Press.

Sullivan, P. (2011). Teaching mathematics : using research-informed strategies. Australian Education Review; no. 59.Camberwell, VIC: ACER press.

Sullivan, P., Mousley, J., & Zevenbergen, R. (2005). Increasing access to mathematical thinking. The Australian Mathematical Society Gazette, 32(2), 105-109.

van den Heuvel-Panhuizen, M. (2010). Reform under attack: Forty years of working on better mathematics education thrown on the scrapheap? No way! In L. Sparrow, B. Kissane & C. Hurst (Eds.), Proceedings of MERGA 33 conference: Shaping the future of mathematics education (Vol. 1, pp. 1–25). Fremantle, Western Australia: MERGA.

White, A. L. (2011). School mathematics teachers are super heroes. South East Asia Mathematics Education Journal, 1(1), 3-17.




DOI: https://doi.org/10.46517/seamej.v2i1.19

Refbacks

  • There are currently no refbacks.



Indexed by:

      


Southeast Asian Mathematics Education Journal
SEAMEO Regional Centre for QITEP in Mathematics
Jl. Kaliurang Km 6, Sambisari, Condongcatur, Depok, Sleman
Yogyakarta, Indonesia
Telp. +62 274 889955
Email: seamej@qitepinmath.org


p-ISSN: 2089-4716 | e-ISSN: 2721-8546


Southeast Asian Mathematics Education Journal is licensed under a Creative Commons Attribution 4.0 International License

View My Stats

 Supported by: