TY - JOUR
T1 - Why and how mathematicians read proofs
T2 - An exploratory study
AU - Weber, Keith
AU - Mejia-Ramos, Juan Pablo
N1 - Funding Information:
Acknowledgments The research in this paper was supported by a grant from the National Science Foundation (NSF #DRL0643734). The views expressed here are not necessarily those of the National Science Foundation. We would like to thank Sean Larsen for helpful insights on developing our theoretical model, as well as the anonymous reviewers for their comments on earlier drafts of this manuscript.
PY - 2011/4
Y1 - 2011/4
N2 - In this paper, we report a study in which nine research mathematicians were interviewed with regard to the goals guiding their reading of published proofs and the type of reasoning they use to reach these goals. Using the data from this study as well as data from a separate study (Weber, Journal for Research in Mathematics Education 39:431-459, 2008) and the philosophical literature on mathematical proof, we identify three general strategies that mathematicians employ when reading proofs: appealing to the authority of other mathematicians who read the proof, line-by-line reading, and modular reading. We argue that non-deductive reasoning plays an important role in each of these three strategies.
AB - In this paper, we report a study in which nine research mathematicians were interviewed with regard to the goals guiding their reading of published proofs and the type of reasoning they use to reach these goals. Using the data from this study as well as data from a separate study (Weber, Journal for Research in Mathematics Education 39:431-459, 2008) and the philosophical literature on mathematical proof, we identify three general strategies that mathematicians employ when reading proofs: appealing to the authority of other mathematicians who read the proof, line-by-line reading, and modular reading. We argue that non-deductive reasoning plays an important role in each of these three strategies.
KW - Advanced mathematical thinking
KW - Argumentation
KW - Mathematical practice
KW - Proof
KW - Proof comprehension
KW - Proof reading
KW - Validation
UR - https://www.scopus.com/pages/publications/79952627629
UR - https://www.scopus.com/pages/publications/79952627629#tab=citedBy
U2 - 10.1007/s10649-010-9292-z
DO - 10.1007/s10649-010-9292-z
M3 - Article
AN - SCOPUS:79952627629
SN - 0013-1954
VL - 76
SP - 329
EP - 344
JO - Educational Studies in Mathematics
JF - Educational Studies in Mathematics
IS - 3
ER -