Synthese:1-14 (2018)

Authors
Brendan Larvor
University of Hertfordshire
Abstract
The metaphor of scaffolding has become current in discussions of the cognitive help we get from artefacts, environmental affordances and each other. Consideration of mathematical tools and representations indicates that in these cases at least, scaffolding is the wrong picture, because scaffolding in good order is immobile, temporary and crude. Mathematical representations can be manipulated, are not temporary structures to aid development, and are refined. Reflection on examples from elementary algebra indicates that Menary is on the right track with his ‘enculturation’ view of mathematical cognition. Moreover, these examples allow us to elaborate his remarks on the uniqueness of mathematical representations and their role in the emergence of new thoughts.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/s11229-018-02039-y
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 50,268
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

What Are the Contents of Representations in Predictive Processing?Wanja Wiese - 2017 - Phenomenology and the Cognitive Sciences 16 (4):715-736.
A Historically and Philosophically Informed Approach to Mathematical Metaphors.Roy Wagner - 2013 - International Studies in the Philosophy of Science 27 (2):109-135.
Is Mind Extended or Scaffolded? Ruminations on Sterelney’s Extended Stomach.Jennifer Greenwood - 2013 - Phenomenology and the Cognitive Sciences 14 (3):629-650.
Language, Embodiment, and the Cognitive Niche.Andy Clark - 2006 - Trends in Cognitive Sciences 10 (8):370-374.

Analytics

Added to PP index
2018-11-27

Total views
30 ( #321,483 of 2,325,392 )

Recent downloads (6 months)
5 ( #171,137 of 2,325,392 )

How can I increase my downloads?

Downloads

My notes