caa a22 4500 445881976 CHVBK 20180317145546.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s10649-010-9273-2 doi (NATIONALLICENCE)springer-10.1007/s10649-010-9273-2 Stylianou Despina City College, The City University of New York, New York, USA aut An examination of middle school students' representation practices in mathematical problem solving through the lens of expert work: towards an organizing scheme [Elektronische Daten] [Despina Stylianou] Representation is viewed as central to mathematical problem solving. Yet, it is becoming obvious that students are having difficulty negotiating the various forms and functions of representations. This article examines the functions that representation has in students' mathematical problem solving and how that compares to its function in the problem solving of experts and broadly in mathematics. Overall, this work highlights the close connections between the work of experts and students, showing how students use representations in ways that are inherently similar to those of experts. Both experts and students use representations as tools towards the understanding, exploration, recording, and monitoring of problem solving. In social contexts, experts and students use representations for the presentation of their work but also the negotiation and co-construction of shared understandings. However, this research also highlights where students' work departs from experts' representational practices, hence, providing some directions for pedagogy and further work. Springer Science+Business Media B.V., 2010 Representation nationallicence Mathematical processes nationallicence Educational Studies in Mathematics Springer Netherlands 76/3(2011-04-01), 265-280 0013-1954 76:3<265 2011 76 10649 https://doi.org/10.1007/s10649-010-9273-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10649-010-9273-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Stylianou Despina City College, The City University of New York, New York, USA aut NATIONALLICENCE 773 0- Educational Studies in Mathematics Springer Netherlands 76/3(2011-04-01), 265-280 0013-1954 76:3<265 2011 76 10649 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer