An empirical approach to the mathematical values of problem choice and argumentation

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Standard

An empirical approach to the mathematical values of problem choice and argumentation. / Johansen, Mikkel Willum; Misfeldt, Morten.

Mathematical Cultures: The London meetings 2012-2014. ed. / Brendan Larvor. Switzerland : Springer, 2016. p. 259-269 (Trends in the History of Science).

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Harvard

Johansen, MW & Misfeldt, M 2016, An empirical approach to the mathematical values of problem choice and argumentation. in B Larvor (ed.), Mathematical Cultures: The London meetings 2012-2014. Springer, Switzerland, Trends in the History of Science, pp. 259-269. https://doi.org/10.1007/978-3-319-28582-5_15

APA

Johansen, M. W., & Misfeldt, M. (2016). An empirical approach to the mathematical values of problem choice and argumentation. In B. Larvor (Ed.), Mathematical Cultures: The London meetings 2012-2014 (pp. 259-269). Springer. Trends in the History of Science https://doi.org/10.1007/978-3-319-28582-5_15

Vancouver

Johansen MW, Misfeldt M. An empirical approach to the mathematical values of problem choice and argumentation. In Larvor B, editor, Mathematical Cultures: The London meetings 2012-2014. Switzerland: Springer. 2016. p. 259-269. (Trends in the History of Science). https://doi.org/10.1007/978-3-319-28582-5_15

Author

Johansen, Mikkel Willum ; Misfeldt, Morten. / An empirical approach to the mathematical values of problem choice and argumentation. Mathematical Cultures: The London meetings 2012-2014. editor / Brendan Larvor. Switzerland : Springer, 2016. pp. 259-269 (Trends in the History of Science).

Bibtex

@inproceedings{9f4ae7f44cab4ba19c03c1abdd2c405c,
title = "An empirical approach to the mathematical values of problem choice and argumentation",
abstract = "In this paper we describe and discuss how mathematical values influence researchers{\textquoteright} choices when practicing mathematics. Our paper is based on a qualitative investigation of mathematicians{\textquoteright} practices, and its goal is to gain an empirically grounded understanding of mathematical values. More specifically, we will analyze the values connected to mathematicians{\textquoteright} choice of problems and their choice of argumentative style when communicating their results. We suggest that these two situations can be understood as relating to the three mathematical values: recognizability, formalizability and believability. Furthermore, we discuss three meta-issues concerning the general nature of mathematical values, namely 1) the origin of mathematical values, 2) the extent to which different values change over time and 3) the situatedness of mathematical values; that is the extent to which mathematical values depend on the specific context in which you are located. We conclude the chapter by recommending a methodological pluralism in future investigations of mathematical values",
author = "Johansen, {Mikkel Willum} and Morten Misfeldt",
year = "2016",
doi = "10.1007/978-3-319-28582-5_15",
language = "Dansk",
isbn = "978-3-319-28580-1",
series = "Trends in the History of Science",
publisher = "Springer",
pages = "259--269",
editor = "Brendan Larvor",
booktitle = "Mathematical Cultures",
address = "Schweiz",

}

RIS

TY - GEN

T1 - An empirical approach to the mathematical values of problem choice and argumentation

AU - Johansen, Mikkel Willum

AU - Misfeldt, Morten

PY - 2016

Y1 - 2016

N2 - In this paper we describe and discuss how mathematical values influence researchers’ choices when practicing mathematics. Our paper is based on a qualitative investigation of mathematicians’ practices, and its goal is to gain an empirically grounded understanding of mathematical values. More specifically, we will analyze the values connected to mathematicians’ choice of problems and their choice of argumentative style when communicating their results. We suggest that these two situations can be understood as relating to the three mathematical values: recognizability, formalizability and believability. Furthermore, we discuss three meta-issues concerning the general nature of mathematical values, namely 1) the origin of mathematical values, 2) the extent to which different values change over time and 3) the situatedness of mathematical values; that is the extent to which mathematical values depend on the specific context in which you are located. We conclude the chapter by recommending a methodological pluralism in future investigations of mathematical values

AB - In this paper we describe and discuss how mathematical values influence researchers’ choices when practicing mathematics. Our paper is based on a qualitative investigation of mathematicians’ practices, and its goal is to gain an empirically grounded understanding of mathematical values. More specifically, we will analyze the values connected to mathematicians’ choice of problems and their choice of argumentative style when communicating their results. We suggest that these two situations can be understood as relating to the three mathematical values: recognizability, formalizability and believability. Furthermore, we discuss three meta-issues concerning the general nature of mathematical values, namely 1) the origin of mathematical values, 2) the extent to which different values change over time and 3) the situatedness of mathematical values; that is the extent to which mathematical values depend on the specific context in which you are located. We conclude the chapter by recommending a methodological pluralism in future investigations of mathematical values

U2 - 10.1007/978-3-319-28582-5_15

DO - 10.1007/978-3-319-28582-5_15

M3 - Konferencebidrag i proceedings

SN - 978-3-319-28580-1

T3 - Trends in the History of Science

SP - 259

EP - 269

BT - Mathematical Cultures

A2 - Larvor, Brendan

PB - Springer

CY - Switzerland

ER -

ID: 162890037