caa a22 4500 44588195X CHVBK 20180317145546.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10649-010-9275-0 doi (NATIONALLICENCE)springer-10.1007/s10649-010-9275-0 The role of abduction in proving processes [Elektronische Daten] [Bettina Pedemonte, David Reid] This paper offers a typology of forms and uses of abduction that can be exploited to better analyze abduction in proving processes. Based on the work of Peirce and Eco, we describe different kinds of abductions that occur in students' mathematical activity and extend Toulmin's model of an argument as a methodological tool to describe students' reasoning and to classify the different kinds of abduction. We then use this tool to analyze case studies of students' abductions and to identify cognitive difficulties students encounter. We conclude that some types of abduction may present obstacles, both in the argumentation when the abduction occurs and later when the proof is constructed. Springer Science+Business Media B.V., 2010 Abduction nationallicence Argumentation nationallicence Proof nationallicence Toulmin's model nationallicence Pedemonte Bettina DiDiMa srl. - Istituto per le Tecnologie Didattiche, CNR, Genoa, Italy aut Reid David School of Education, Acadia University, Wolfville NS, Canada aut Educational Studies in Mathematics Springer Netherlands 76/3(2011-04-01), 281-303 0013-1954 76:3<281 2011 76 10649 https://doi.org/10.1007/s10649-010-9275-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10649-010-9275-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pedemonte Bettina DiDiMa srl. - Istituto per le Tecnologie Didattiche, CNR, Genoa, Italy aut NATIONALLICENCE 700 1- Reid David School of Education, Acadia University, Wolfville NS, Canada aut NATIONALLICENCE 773 0- Educational Studies in Mathematics Springer Netherlands 76/3(2011-04-01), 281-303 0013-1954 76:3<281 2011 76 10649 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer