Matemaatikat tuleks õpetada kui mõtteviisi, mitte kui arvutamist

Autorid

  • Keith Devlin

DOI:

https://doi.org/10.12697/eha.2021.9.1.02b

Kokkuvõte

Important aspects of mathematical thinking are exploring, questioning, working systematically, visualizing, conjecturing, explaining, generalizing, justifying, and proving (but excluding the execution of formal procedures either done by machines or viewed as a “lower-level”, mechanical activity). Mathematical thinking is what this essay is about. But before I start, it should be noted that I write from the perspective of a career that spanned both academic research in pure mathematics and the world of applied mathematics, where I worked on a wide range of real-life problems for private industry and government.

Allalaadimised

Download data is not yet available.

Viited

Abramovich, S (2013). Computers in mathematics education: An introduction. Computers in the Schools, Interdisciplinary Journal of Practice, Theory, and Applied Research, 30(1–2), 4–11. https://doi.org/10.1080/07380569.2013.765305

Devlin, K (2012a). What is mathematical thinking? Devlin’s Angle, http://devlinsangle.blogspot.com/2012/08/what-is-mathematical-thinking.html.

Devlin, K (2012b). Introduction to Mathematical Thinking, Amazon Publications.

Devlin, K (2018). Stanford University Mathematics Outreach Project, Blue Notepad Videos https://sumop.org/videos/.

Ferguson, N. et al. (2020). Report 9: Impact of non-pharmaceutical interventions (NPIs) to reduce COVID-19 mortality and healthcare demand, Imperial College COVID-19 Response Team, 16 March 2020 https://www.imperial.ac.uk/media/imperial-college/medicine/sph/ide/gida-fellowships/Imperial-College-COVID19-NPI-modelling-16-03-2020.pdf.

Ma, L. (November 2013). A critique of the structure of U.S. elementary school mathematics. Notices of the AMS, 60(10), 1282–1296. https://doi.org/10.1090/noti1054.

NRICH, University of Cambridge (2020). https://nrich.maths.org/mathematically.

Rittel, H., & Webber, M. (1973). Dilemmas in a general theory of planning. Policy Sciences, 4(2), 155–169. https://doi.org/10.1007/BF01405730

Singh, P. et al. (2018). The use of problem-solving heuristics approach in enhancing stem students development of mathematical thinking. International Electronic Journal of Mathematics Education, 13(3), 289–303. https://doi.org/10.12973/iejme/3921

Stacey, K (2006). What is mathematical thinking and why is it important?. ResearchGate, Computers in Mathematics Education. https://www.researchgate.net/publication/254408829_WHAT_IS_MATHEMATICAL_THINKING_AND_WHY_IS_IT_IMPORTANT.

Tao, T (2015). There’s more to mathematics than rigour and proofs. Aug 20 https://terrytao.wordpress.com/career-advice/theres-more-to-mathematics-than-rigour-and-proofs/.

Willingham, D. (2010). Why don’t students like school? A cognitive scientist answers questions about how the mind works and what it means for the classroom. Jossey-Bass.

##submission.downloads##

Avaldatud

2021-05-01

Väljaanne

Rubriik

Artiklid