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Mathematical Thinking: Algebraic v. Geometric?

Marcus Giaquinto

in Visual Thinking in Mathematics

Published in print:
2007
Published Online:
September 2007
ISBN:
9780199285945
eISBN:
9780191713811
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199285945.003.0012
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter analyses mathematical thinking as a whole. In particular, it scrutinizes the common appeal to a distinction between algebraic and geometric thinking. By looking at a number of examples, ... More


Computational and Mathematical Thinking

Stephen K. Reed

in Cognitive Skills You Need for the 21st Century

Published in print:
2020
Published Online:
August 2020
ISBN:
9780197529003
eISBN:
9780197529034
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780197529003.003.0019
Subject:
Psychology, Cognitive Psychology

Computational thinking is a way of solving problems, designing systems, and understanding human behavior that draws on concepts fundamental to computer science. The advanced placement course, AP ... More


A comparative approach to understanding human numerical cognition

Kerry E. Jordan and Elizabeth M. Brannon

in The Origins of Object Knowledge

Published in print:
2009
Published Online:
March 2012
ISBN:
9780199216895
eISBN:
9780191696039
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199216895.003.0003
Subject:
Psychology, Developmental Psychology

Language does not necessarily support all human cognition. Comparative research continues to uncover the links between the cognitive abilities of humans and other animal species that lack language. ... More


Category Theory and Foundations

Michael Ernst

in Categories for the Working Philosopher

Published in print:
2017
Published Online:
January 2018
ISBN:
9780198748991
eISBN:
9780191811593
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198748991.003.0005
Subject:
Philosophy, History of Philosophy

In the foundations of mathematics there has been an ongoing debate about whether categorical foundations can replace set-theoretical foundations. The primary goal of this chapter is to provide a ... More


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