Semiotic Scaffolding in Mathematics

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Semiotic Scaffolding in Mathematics. / Johansen, Mikkel Willum; Misfeldt, Morten.

I: Biosemiotics, Bind 8, Nr. 2, 29.01.2015, s. 325-340.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Johansen, MW & Misfeldt, M 2015, 'Semiotic Scaffolding in Mathematics', Biosemiotics, bind 8, nr. 2, s. 325-340. https://doi.org/10.1007/s12304-014-9228-6

APA

Johansen, M. W., & Misfeldt, M. (2015). Semiotic Scaffolding in Mathematics. Biosemiotics, 8(2), 325-340. https://doi.org/10.1007/s12304-014-9228-6

Vancouver

Johansen MW, Misfeldt M. Semiotic Scaffolding in Mathematics. Biosemiotics. 2015 jan. 29;8(2):325-340. https://doi.org/10.1007/s12304-014-9228-6

Author

Johansen, Mikkel Willum ; Misfeldt, Morten. / Semiotic Scaffolding in Mathematics. I: Biosemiotics. 2015 ; Bind 8, Nr. 2. s. 325-340.

Bibtex

@article{712d5e0f16e246a19956c97cb46c6c84,
title = "Semiotic Scaffolding in Mathematics",
abstract = "This paper investigates the notion of semiotic scaffolding in relation to mathematics by considering its influence on mathematical activities, and on the evolution of mathematics as a research field. We will do this by analyzing the role different representational forms play in mathematical cognition, and more broadly on mathematical activities. In the main part of the paper, we will present and analyze three different cases. For the first case, we investigate the semiotic scaffolding involved in pencil and paper multiplication. For the second case, we investigate how the development of new representational forms influenced the development of the theory of exponentiation. For the third case, we analyze the connection between the development of commutative diagrams and the development of both algebraic topology and category theory. Our main conclusions are that semiotic scaffolding indeed plays a role in both mathematical cognition and in the development of mathematics itself, but mathematical cognition cannot itself be reduced to the use of semiotic scaffolding.",
author = "Johansen, {Mikkel Willum} and Morten Misfeldt",
year = "2015",
month = jan,
day = "29",
doi = "10.1007/s12304-014-9228-6",
language = "English",
volume = "8",
pages = "325--340",
journal = "Biosemiotics",
issn = "1875-1342",
publisher = "Springer",
number = "2",

}

RIS

TY - JOUR

T1 - Semiotic Scaffolding in Mathematics

AU - Johansen, Mikkel Willum

AU - Misfeldt, Morten

PY - 2015/1/29

Y1 - 2015/1/29

N2 - This paper investigates the notion of semiotic scaffolding in relation to mathematics by considering its influence on mathematical activities, and on the evolution of mathematics as a research field. We will do this by analyzing the role different representational forms play in mathematical cognition, and more broadly on mathematical activities. In the main part of the paper, we will present and analyze three different cases. For the first case, we investigate the semiotic scaffolding involved in pencil and paper multiplication. For the second case, we investigate how the development of new representational forms influenced the development of the theory of exponentiation. For the third case, we analyze the connection between the development of commutative diagrams and the development of both algebraic topology and category theory. Our main conclusions are that semiotic scaffolding indeed plays a role in both mathematical cognition and in the development of mathematics itself, but mathematical cognition cannot itself be reduced to the use of semiotic scaffolding.

AB - This paper investigates the notion of semiotic scaffolding in relation to mathematics by considering its influence on mathematical activities, and on the evolution of mathematics as a research field. We will do this by analyzing the role different representational forms play in mathematical cognition, and more broadly on mathematical activities. In the main part of the paper, we will present and analyze three different cases. For the first case, we investigate the semiotic scaffolding involved in pencil and paper multiplication. For the second case, we investigate how the development of new representational forms influenced the development of the theory of exponentiation. For the third case, we analyze the connection between the development of commutative diagrams and the development of both algebraic topology and category theory. Our main conclusions are that semiotic scaffolding indeed plays a role in both mathematical cognition and in the development of mathematics itself, but mathematical cognition cannot itself be reduced to the use of semiotic scaffolding.

U2 - 10.1007/s12304-014-9228-6

DO - 10.1007/s12304-014-9228-6

M3 - Journal article

VL - 8

SP - 325

EP - 340

JO - Biosemiotics

JF - Biosemiotics

SN - 1875-1342

IS - 2

ER -

ID: 130594529