Intuitive explanations of mathematical ideas
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 10 (2018) no. 1, pp. 123-137
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This short note is devoted to the role played by intuitive explanations in mathematical education. We provide a few examples of such explanations. They are related to: verbal commentaries, perception, physical models. We recall also some examples of internal explanations, inside mathematics itself.
Keywords:
mathematical intuition, understanding in mathematics, intuitive explanation
@article{AUPCDM_2018_10_1_a8,
author = {Pogonowski, Jerzy},
title = {Intuitive explanations of mathematical ideas},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia},
pages = {123--137},
publisher = {mathdoc},
volume = {10},
number = {1},
year = {2018},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPCDM_2018_10_1_a8/}
}
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Pogonowski, Jerzy. Intuitive explanations of mathematical ideas. Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia, Tome 10 (2018) no. 1, pp. 123-137. http://geodesic.mathdoc.fr/item/AUPCDM_2018_10_1_a8/