Noorloos, R;
Taylor, SD;
Bakker, A;
Derry, J;
(2017)
Inferentialism as an alternative to socioconstructivism in mathematics education.
Mathematics Education Research Journal
, 29
(4)
pp. 437-453.
10.1007/s13394-017-0189-3.
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Abstract
The purpose of this article is to draw the attention of mathematics education researchers to a relatively new semantic theory called inferentialism, as developed by the philosopher Robert Brandom. Inferentialism is a semantic theory which explains concept formation in terms of the inferences individuals make in the context of an intersubjective practice of acknowledging, attributing, and challenging one another’s commitments. The article argues that inferentialism can help to overcome certain problems that have plagued the various forms of constructivism, and socioconstructivism in particular. Despite the range of socioconstructivist positions on offer, there is reason to think that versions of these problems will continue to haunt socioconstructivism. The problems are that socioconstructivists (i) have not come to a satisfactory resolution of the social-individual dichotomy, (ii) are still threatened by relativism, and (iii) have been vague in their characterization of what construction is. We first present these problems; then we introduce inferentialism, and finally we show how inferentialism can help to overcome the problems. We argue that inferentialism (i) contains a powerful conception of norms that can overcome the social-individual dichotomy, (ii) draws attention to the reality that constrains our inferences, and (iii) develops a clearer conception of learning in terms of the mastering of webs of reasons. Inferentialism therefore represents a powerful alternative theoretical framework to socioconstructivism.
| Type: | Article |
|---|---|
| Title: | Inferentialism as an alternative to socioconstructivism in mathematics education |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s13394-017-0189-3 |
| Publisher version: | http://doi.org/10.1007/s13394-017-0189-3 |
| Language: | English |
| Additional information: | © The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| Keywords: | Inferentialism, Mathematics Education, Constructivism |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > School of Education UCL > Provost and Vice Provost Offices > School of Education > UCL Institute of Education UCL > Provost and Vice Provost Offices > School of Education > UCL Institute of Education > IOE - Education, Practice and Society |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1541296 |
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