caa a22 4500 445881933 CHVBK 20180317145546.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10649-010-9292-z doi (NATIONALLICENCE)springer-10.1007/s10649-010-9292-z Why and how mathematicians read proofs: an exploratory study [Elektronische Daten] [Keith Weber, Juan Mejia-Ramos] 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. Springer Science+Business Media B.V., 2010 Advanced mathematical thinking nationallicence Argumentation nationallicence Mathematical practice nationallicence Proof nationallicence Proof comprehension nationallicence Proof reading nationallicence Validation nationallicence Weber Keith Rutgers University, New Brunswick, NJ, USA aut Mejia-Ramos Juan Rutgers University, New Brunswick, NJ, USA aut Educational Studies in Mathematics Springer Netherlands 76/3(2011-04-01), 329-344 0013-1954 76:3<329 2011 76 10649 https://doi.org/10.1007/s10649-010-9292-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10649-010-9292-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Weber Keith Rutgers University, New Brunswick, NJ, USA aut NATIONALLICENCE 700 1- Mejia-Ramos Juan Rutgers University, New Brunswick, NJ, USA aut NATIONALLICENCE 773 0- Educational Studies in Mathematics Springer Netherlands 76/3(2011-04-01), 329-344 0013-1954 76:3<329 2011 76 10649 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer