On Conceptual Metaphors In Mathematics

Jerzy Pogonowski

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia (2017)

  • Volume: 9, page 85-98
  • ISSN: 2080-9751

Abstract

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This paper contains a few critical remarks concerning some fundamental assumptions and claims propagated by Lakoff and Núñez in their monograph Lakoff, Núñez (2000). Our attitude is skeptical (cf. also Pogonowski,2011). We agree with the idea that conceptual metaphors may play some role in the formation of elementary mathematical notions. However, we disagree with the authors’ claim that such metaphors provide the main mechanism in the emergence of new notions in advanced mathematics.

How to cite

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Jerzy Pogonowski. "On Conceptual Metaphors In Mathematics." Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia 9 (2017): 85-98. <http://eudml.org/doc/296409>.

@article{JerzyPogonowski2017,
abstract = {This paper contains a few critical remarks concerning some fundamental assumptions and claims propagated by Lakoff and Núñez in their monograph Lakoff, Núñez (2000). Our attitude is skeptical (cf. also Pogonowski,2011). We agree with the idea that conceptual metaphors may play some role in the formation of elementary mathematical notions. However, we disagree with the authors’ claim that such metaphors provide the main mechanism in the emergence of new notions in advanced mathematics.},
author = {Jerzy Pogonowski},
journal = {Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia},
keywords = {conceptual metaphor; embodied cognition; analogy},
language = {eng},
pages = {85-98},
title = {On Conceptual Metaphors In Mathematics},
url = {http://eudml.org/doc/296409},
volume = {9},
year = {2017},
}

TY - JOUR
AU - Jerzy Pogonowski
TI - On Conceptual Metaphors In Mathematics
JO - Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia
PY - 2017
VL - 9
SP - 85
EP - 98
AB - This paper contains a few critical remarks concerning some fundamental assumptions and claims propagated by Lakoff and Núñez in their monograph Lakoff, Núñez (2000). Our attitude is skeptical (cf. also Pogonowski,2011). We agree with the idea that conceptual metaphors may play some role in the formation of elementary mathematical notions. However, we disagree with the authors’ claim that such metaphors provide the main mechanism in the emergence of new notions in advanced mathematics.
LA - eng
KW - conceptual metaphor; embodied cognition; analogy
UR - http://eudml.org/doc/296409
ER -

References

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