THE WIDTH OF A PROOF

This paper’s aim is to discuss the concept of width of a proof put forward by Timothy Gowers. It explains what this concept means and attempts to show how it relates to other concepts discussed in the existing literature on proof and proving. It also explores how the concept of width of a proof m...

Full description

Bibliographic Details
Main Author: Gila Hanna
Format: Article
Language:English
Published: Universidad de Granada 2014-09-01
Series:PNA: Revista de Investigación en Didáctica de la Matemática
Subjects:
Online Access:http://www.pna.es/Numeros2/pdf/Hanna2014PNA9(1)Thewidth.pdf
_version_ 1818335944387854336
author Gila Hanna
author_facet Gila Hanna
author_sort Gila Hanna
collection DOAJ
description This paper’s aim is to discuss the concept of width of a proof put forward by Timothy Gowers. It explains what this concept means and attempts to show how it relates to other concepts discussed in the existing literature on proof and proving. It also explores how the concept of width of a proof might be used productively in the mathematics curriculum and how it might fit with the various perspectives on learning to prove.
first_indexed 2024-12-13T14:31:28Z
format Article
id doaj.art-7638836be770482880951e0aea62621f
institution Directory Open Access Journal
issn 1887-3987
1887-3987
language English
last_indexed 2024-12-13T14:31:28Z
publishDate 2014-09-01
publisher Universidad de Granada
record_format Article
series PNA: Revista de Investigación en Didáctica de la Matemática
spelling doaj.art-7638836be770482880951e0aea62621f2022-12-21T23:41:49ZengUniversidad de GranadaPNA: Revista de Investigación en Didáctica de la Matemática1887-39871887-39872014-09-01912939THE WIDTH OF A PROOFGila Hanna0University of TorontoThis paper’s aim is to discuss the concept of width of a proof put forward by Timothy Gowers. It explains what this concept means and attempts to show how it relates to other concepts discussed in the existing literature on proof and proving. It also explores how the concept of width of a proof might be used productively in the mathematics curriculum and how it might fit with the various perspectives on learning to prove.http://www.pna.es/Numeros2/pdf/Hanna2014PNA9(1)Thewidth.pdfArgumentation; Explanation; Memorability; Proof
spellingShingle Gila Hanna
THE WIDTH OF A PROOF
PNA: Revista de Investigación en Didáctica de la Matemática
Argumentation; Explanation; Memorability; Proof
title THE WIDTH OF A PROOF
title_full THE WIDTH OF A PROOF
title_fullStr THE WIDTH OF A PROOF
title_full_unstemmed THE WIDTH OF A PROOF
title_short THE WIDTH OF A PROOF
title_sort width of a proof
topic Argumentation; Explanation; Memorability; Proof
url http://www.pna.es/Numeros2/pdf/Hanna2014PNA9(1)Thewidth.pdf
work_keys_str_mv AT gilahanna thewidthofaproof
AT gilahanna widthofaproof