caa a22 4500 445882018 CHVBK 20180317145546.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s10649-010-9272-3 doi (NATIONALLICENCE)springer-10.1007/s10649-010-9272-3 Ouvrier-Buffet Cécile Université Paris Diderot, LDAR, Case 7018, 75205, Paris Cedex 13, France aut A mathematical experience involving defining processes: in-action definitions and zero-definitions [Elektronische Daten] [Cécile Ouvrier-Buffet] In this paper, a focus is made on defining processes at stake in an unfamiliar situation coming from discrete mathematics which brings surprising mathematical results. The epistemological framework of Lakatos is questioned and used for the design and the analysis of the situation. The cognitive background of Vergnaud's approach enriches the study of freshmen's processes at university. The mathematical analysis and the results specifically underscore the in-action definitions and the zero-definitions and highlight the need of similar mathematical experiences in education, particularly focused on defining processes and the exploration of a research problem. Springer Science+Business Media B.V., 2010 Zero-definitions nationallicence In-action definitions nationallicence Proof-generated definitions nationallicence Concept image nationallicence Displacements nationallicence Regular grid nationallicence Discrete mathematics nationallicence Educational Studies in Mathematics Springer Netherlands 76/2(2011-03-01), 165-182 0013-1954 76:2<165 2011 76 10649 https://doi.org/10.1007/s10649-010-9272-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10649-010-9272-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Ouvrier-Buffet Cécile Université Paris Diderot, LDAR, Case 7018, 75205, Paris Cedex 13, France aut NATIONALLICENCE 773 0- Educational Studies in Mathematics Springer Netherlands 76/2(2011-03-01), 165-182 0013-1954 76:2<165 2011 76 10649 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer