Material tools and meaning formation in mathematics
Research output: Contribution to conference › Conference abstract for conference › Research › peer-review
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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 › Conference abstract for conference › Research › peer-review
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TY - ABST
T1 - Material tools and meaning formation in mathematics
AU - Johansen, Mikkel Willum
AU - Misfeldt, Morten
N1 - Conference code: 1
PY - 2014/9
Y1 - 2014/9
N2 - 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 workingmathematicians 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 workingmathematicians has revealed several new aspects. For this presentation we willespecially focus on how mathematicians use external representations as a way tofamiliarize themselves with, or ascribe meaning to the mathematical objects they are working with, and how this process plays an important role in the heuristictreatment of mathematical problems.
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 workingmathematicians 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 workingmathematicians has revealed several new aspects. For this presentation we willespecially focus on how mathematicians use external representations as a way tofamiliarize themselves with, or ascribe meaning to the mathematical objects they are working with, and how this process plays an important role in the heuristictreatment of mathematical problems.
M3 - Conference abstract for conference
Y2 - 25 September 2014 through 27 September 2014
ER -
ID: 128690603