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Is it mathematics or is it school mathematics?

Presidential address to The Mathematical Association, April 2017

Published online by Cambridge University Press:  16 October 2017

Jennie Golding*
Affiliation:
UCL Institute of Education, 20 Bedford Way, London WC1H 0AL

Extract

In my professional life, I have repeatedly had cause to return to the question of

‘What relationship does the “mathematics” experienced in classrooms have to the mathematics studied in universities, or used outside academia? What relationship should it, and could it, have, and how do we get there?’

It's time I began to frame some responses! In doing so, I am very aware that membership of The Mathematical Association is broad church, ranging from those with an amateur interest in mathematics (and mathematics education), through non-specialist teachers, to professional mathematicians. As such it is a rich community, but one in which it is challenging to address such questions in a way which is meaningful to all. However, I shall attempt to do so and I hope that the balance will in a small way also prove illuminating to the reader. In particular, I have a hope that it will point to the breadth and depth of what we expect from our teachers of mathematics, at all levels, and to a valuing of that.

Type
Articles
Copyright
Copyright © Mathematical Association 2017 

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References

1. Su, F., Presidential Address to the AMS 2017 accessed at https://mathyawp.wordpress.com/2017/01/08/mathematics-for-human-flourishing/ Google Scholar
2. Wigner, E. P., The unreasonable effectiveness of mathematics in the natural sciences, (Richard Courant lecture in mathematical sciences delivered at New York University, May 11, 1959), Communications on Pure and Applied Mathematics, 13 (1960) pp. 114.Google Scholar
3. Tegmark, Max, The Mathematical Universe, Foundations of Physics 38 (2), (2007) pp. 101150.Google Scholar
4. Adler, J. and Sfard, A., (eds.) Research for Educational Change: Transforming Researchers’ Insights Into Improvement in Mathematics Teaching and Learning, Routledge (2017).Google Scholar
5. Lakatos, I., Proofs and refutations, Cambridge University Press (1976).CrossRefGoogle Scholar
7. Wilson, R., 4000 years of algebra (2011), accessed at https://www.gresham.ac.uk/…/download/4000-years-of-algebra Google Scholar
9. Schukajlow, S., Rakoczy, K. and Pekrun, R., Emotions and motivation in mathematics education: theoretical considerations and empirical contributions, ZDM Mathematics Education 49 (2017) p. 307.Google Scholar
10. Ernest, P., ‘Why teach mathematics?’ in Bramall, S. and White, J. (eds.) Why Learn Maths? Bedford Way Papers (2000) pp. 114.Google Scholar
11. Adler, J. and Ronda, E., A Framework for Describing Mathematics Discourse in Instruction and Interpreting Differences in Teaching, African Journal of Research in Mathematics, Science and Technology Education 19 (3) (2015) pp. 237254.Google Scholar
13. Cuoco, A., Goldenburg, P. and Mark, J., Habits of mind: an organising principle for mathematics curricula, Journal of Mathematical Behaviour 15 (1996) pp. 375402.CrossRefGoogle Scholar
14. Burton, L., Confidence is everything – perspectives of teachers and students on learning mathematics, Journal of Mathematics Teacher Education 7 (2004) pp. 357381.Google Scholar
15. Ofsted, Mathematics made to measure, HMSO (2012).Google Scholar
16. Gibb, N., The importance of an evidence-informed profession (2017) accessed at https://www.gov.uk/government/speeches/nick-gibb-the-importance-of-an-evidence-informed-profession Google Scholar
17. Watson, A., School mathematics as a special kind of mathematics, For the Learning of Mathematics 28 (3) (2008).Google Scholar
18. Young, M. and Muller, J., On the powers of powerful knowledge, Review of Education 1 (2013) pp. 229250.CrossRefGoogle Scholar
19. Golding, J., Mathematics teacher capacity for change Oxford Review of Education (2017) http://dx.doi.org/10.1080/03054985.2017.1331846 Google Scholar
20. Ma, L., Knowing and teaching elementary mathematics: teachers’ understanding of fundamental mathematics in China and the United States. Lawrence Erlbaum Associates (1999).Google Scholar
21. Landau, E., Foundations of Analysis, (trans Steinhardt), Chelsea Publishing Company (1951).Google Scholar
22. Ball, D. L., Thames, M. H. and Phelps, A., Content knowledge for teaching: what makes it special? Journal of Teacher Education 59 (5) (2008) pp. 389407.Google Scholar
23. Rowland, T., Huckstep, P. and Thwaites, A., Elementary teachers’ mathematics subject knowledge: the Knowledge Quartet and the case of Naomi, Journal of Mathematics Teacher Education 8 (2005) pp. 255281.Google Scholar
24. Golding, J., What has the coalition government done for the development of initial teacher education? London Review of Education 13 (2) (2015) pp. 113124.Google Scholar