Matemaatikat tuleks õpetada kui mõtteviisi, mitte kui arvutamist
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.
Allalaadimisi
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.
Eesti Haridusteaduste Ajakirja autorid nõustuvad allpool esitatud tingimustega.
- Ajakirjas avaldatud artiklitele on tagatud vaba juurdepääs Creative Commons Attribution-NonCommercial-NoDerivs 3.0 litsentsiga määratud õiguste mahus.
- Autor loovutab ajakirjale tasuta tema poolt loodud artikli varalised õigused, sh õiguse artikli (1) avaldamisele ja levitamisele, (2) üldsusele kättesaadavaks tegemisele ja eksponeerimisele, (3) avalikule esitamisele.
- Autoril on õigus Eesti Haridusteaduste Ajakirja eelneval nõusolekul sõlmida lepinguid kolmandate isikutega publitseeritud artikli säilitamiseks raamatukogu repositooriumis või avaldamiseks raamatu peatükina. Nõudeks on teiseses töös viitamine esmasele allikale, st artiklile Eesti Haridusteaduste Ajakirjas.
- Pärast artikli ilmumist ajakirjas on autoritel lubatud avaldada Internetis (nt oma veebilehel) motiveeritud mahus tsitaate ning levitada linke koos korrektse viitega ajakirjas ilmunud artiklile (vt Open Access).