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2016 | 8 | 119-137
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Kontekst Przekazu w Matematyce

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We introduce the concept of the context of transmission. It coversthe ways in which mathematical knowledge and mathematical abilities aretransmitted in education and popularization of mathematics. We stress therole of intuitive explanations in these processes. Several examples of suchexplanations are presented, related to: linguistic explanations, perception,empirical models, and internal explanations inside mathematics itself.
Twórcy
Bibliografia
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  • Heath, T. L.: 2002, The Works of Archimedes, Dover Publications, Inc., Mineola, New York.
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  • Lakoff, G., Núñez, R.: 2000, Where Mathematics Comes From. How the Embodied Mind Brings Mathematics into Being, Basic Books, New York.
  • Lange, M.: 2014, Depth and Explanation in Mathematics, Philosophia Mathematica 23(2), 196–214.
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  • University. https://plato.stanford.edu/archives/sum2015/entries/mathematics-explanation/.
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  • Pogonowski, J.: 2011, Geneza matematyki wedle kognitywistów, Investigationes Linguisticae XXXIII, 106–147.
  • Pogonowski, J.: 2012, Matematyczne metafory kognitywistów, Tekst odczytu wygłoszonego podczas LVIII Konferencji Historii Logiki, Uniwersytet Jagiellonski, Kraków, 23–24 pazdziernika 2012. http://www.logic.amu.edu.pl/images/0/0e/Mmk2012.pdf.
  • Pogonowski, J.: 2013, Matematyczne fantazje kognitywistów, w: J. Juchnowski, R. Wiszniowski (red.), Współczesna teoria i praktyka badan społecznych i humanistycznych,
  • Vol. 2, Wydawnictwo Adam Marszałek, Torun, 117–127.
  • Polya, G.: 2009, Mathematical Discovery on Understanding, Learning, and Teaching Problem Solving, Ishi Press International, New York, Tokyo.
  • Polya, G.: 2014, Mathematics and Plausible Reasoning. Vol. I: Induction and Analogy in Mathematics, Vol. II: Patterns of Plausible Inference, Martino Publishing, Mansfield Centre, CT.
  • Romero, G. E.: 2014, The collapse of supertasks, Foundation of science 19(2), 209–216.
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  • Tall, D.: 2013, How Humans Learn to Think Mathematically. Exploring the Three Worlds of Mathematics, Cambridge University Press, Cambridge.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.ojs-issn-2450-341X-year-2016-volume-8-article-3646
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