caa a22 4500 445881720 CHVBK 20180317145545.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10649-011-9320-7 doi (NATIONALLICENCE)springer-10.1007/s10649-011-9320-7 Lockwood Elise Portland State University, 724 SW Harrison, Neuberger Hall 334, 97201, Portland, OR, USA aut Student connections among counting problems: an exploration using actor-oriented transfer [Elektronische Daten] [Elise Lockwood] The purpose of this article is to explore student-generated connections among counting problems. The literature indicates that such problems pose difficulties for students, who struggle to detect common structures and identify models of underlying problem types. A case study is presented here, in which students elaborate upon connections they make during the problem solving process. The selected case study highlights student work on three particular combinatorics problems, one of which highlights tendencies toward over-counting. The conception of Lobato (Educational Researcher 3(1):17-20, 2003) of actor-oriented transfer, in which students' (as opposed to experts') notions of similarity are emphasized, is used as a means by which to analyze the resulting qualitative data. Results include (1) a domain-specific categorization of fundamental types of actor-oriented transfer in combinatorics and (2) implications that there is much to be gained when students attend to features of problems that experts might not emphasize. Springer Science+Business Media B.V., 2011 Transfer nationallicence Combinatorics nationallicence Counting nationallicence Problem solving nationallicence Discrete mathematics nationallicence Educational Studies in Mathematics Springer Netherlands 78/3(2011-12-01), 307-322 0013-1954 78:3<307 2011 78 10649 https://doi.org/10.1007/s10649-011-9320-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10649-011-9320-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lockwood Elise Portland State University, 724 SW Harrison, Neuberger Hall 334, 97201, Portland, OR, USA aut NATIONALLICENCE 773 0- Educational Studies in Mathematics Springer Netherlands 78/3(2011-12-01), 307-322 0013-1954 78:3<307 2011 78 10649 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer