Inferentialist epistemology for analyzing students' mathematical reasoning¶
Research Method · All research methods
Evidence · 2 claims (2 for) · 1 study (1 qualitative),q2· 0 of 1 report an effect size · 2 claims rest on one study
Description¶
The article develops an epistemological framework based on Brandom's inferentialism for studying students' reasoning on the order relation of integers. It treats reasoning as social, situated in the 'game of giving and asking for reasons' (GoGAR), implicitly normative, and holistic, with concepts interconnected in students' claims. It asks for the inferences students draw from out-of-school life, the mathematics classroom, contexts, and external representations such as the number line, prioritizing the reasoning itself over internal mental models.
Accounts¶
- Inferentialist epistemology for analyzing students' mathematical reasoning: The article develops an epistemological framework based on Brandom's inferentialism for studying students' reasoning on the order relation of integers. It treats reasoning as social, situated in the 'game of giving and asking for reasons' (GoGAR), implicitly normative, and holistic, with concepts interconnected in students' claims. It asks for the inferences students draw from out-of-school life, the mathematics classroom, contexts, and external representations such as the number line, prioritizing the reasoning itself over internal mental models. (Maike Schindler et al. (2017))
Claims¶
- Students' initial correct answers can mask reasoning based on a subtraction strategy not previously reported for integer order comparisons [+W]
- Before instruction, a strong sixth grader infers integer order reasoning from out-of-school thermometer experiences, with zero as a significant concept [+W]
Related Research Methods¶
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Key Sources¶
- Maike Schindler, Stephan Hußmann, Per Nilsson, Arthur Bakker. (2017). Sixth-grade students' reasoning on the order relation of integers as influenced by prior experience: an inferentialist analysis. Math Ed Res J 29:471–492. https://doi.org/10.1007/s13394-017-0202-x
Page metadata
| Field | Value |
|---|---|
type |
research-method |
id |
inferentialist-epistemology-for-analyzing-students-mathematical-reasoning |
title |
Inferentialist epistemology for analyzing students' mathematical reasoning |
description |
The article develops an epistemological framework based on Brandom's inferentialism for studying students' reasoning on the order relation of integers. |
status |
review |
generated |
by process:settle-candidates on 2026-10-17 |
trust |
unverified — no one has confirmed this page's content |
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