Material tools and meaning formation in mathematics

Mikkel Willum Johansen, Morten Misfeldt

Research output: Contribution to conference without publisher/journalConference abstract for conferenceResearchpeer-review

Abstract

In this talk we will present some of the main results of an empirical investigation of the practice of working mathematicians. The investigation shows that working mathematicians rely heavily on cognitive tools, such as computers and various types of external representations. The tools are used for several different purposes and different tools are used at different stages of the working process. In our talk we will focus on the use of external representations such as symbols, figures and diagrams, and we will explain the role played by such representations in the cognitive practice of working mathematicians. The use and purpose of external representations has been discussed heavily in the literature (see e.g. Allwein, G. & Barwise (1996), Kirsh (2010), Giaquinto (2007, 2011), De Cruz & De Smedt (2013), Johansen (2013)). However, our investigation of the actual practice of working mathematicians has revealed several new aspects. For this presentation we will especially focus on how mathematicians use external representations as a way to familiarize themselves with, or ascribe meaning to the mathematical objects they are working with, and how this process plays an important role in the heuristic treatment of mathematical problems.
Original languageEnglish
Publication date2014
Number of pages1
Publication statusPublished - 2014
EventThe First Conference of the International Association for Cognitive Semiotics - lund, Sweden
Duration: 25 Sep 201427 Sep 2014
Conference number: 1

Conference

ConferenceThe First Conference of the International Association for Cognitive Semiotics
Number1
CountrySweden
Citylund
Period25/09/201427/09/2014

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mathematics
working process
heuristics
symbol

Keywords

  • Mathematics

Cite this

Johansen, M. W., & Misfeldt, M. (2014). Material tools and meaning formation in mathematics. Abstract from The First Conference of the International Association for Cognitive Semiotics, lund, Sweden.
Johansen, Mikkel Willum ; Misfeldt, Morten. / Material tools and meaning formation in mathematics. Abstract from The First Conference of the International Association for Cognitive Semiotics, lund, Sweden.1 p.
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Johansen, MW & Misfeldt, M 2014, 'Material tools and meaning formation in mathematics', lund, Sweden, 25/09/2014 - 27/09/2014, .

Material tools and meaning formation in mathematics. / Johansen, Mikkel Willum; Misfeldt, Morten.

2014. Abstract from The First Conference of the International Association for Cognitive Semiotics, lund, Sweden.

Research output: Contribution to conference without publisher/journalConference abstract for conferenceResearchpeer-review

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T1 - Material tools and meaning formation in mathematics

AU - Johansen, Mikkel Willum

AU - Misfeldt, Morten

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AB - In this talk we will present some of the main results of an empirical investigation of the practice of working mathematicians. The investigation shows that working mathematicians rely heavily on cognitive tools, such as computers and various types of external representations. The tools are used for several different purposes and different tools are used at different stages of the working process. In our talk we will focus on the use of external representations such as symbols, figures and diagrams, and we will explain the role played by such representations in the cognitive practice of working mathematicians. The use and purpose of external representations has been discussed heavily in the literature (see e.g. Allwein, G. & Barwise (1996), Kirsh (2010), Giaquinto (2007, 2011), De Cruz & De Smedt (2013), Johansen (2013)). However, our investigation of the actual practice of working mathematicians has revealed several new aspects. For this presentation we will especially focus on how mathematicians use external representations as a way to familiarize themselves with, or ascribe meaning to the mathematical objects they are working with, and how this process plays an important role in the heuristic treatment of mathematical problems.

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Johansen MW, Misfeldt M. Material tools and meaning formation in mathematics. 2014. Abstract from The First Conference of the International Association for Cognitive Semiotics, lund, Sweden.