caa a22 4500 445882123 CHVBK 20180317145547.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s10649-011-9303-8 doi (NATIONALLICENCE)springer-10.1007/s10649-011-9303-8 Exploring students' strategies in area conservation geometrical tasks [Elektronische Daten] [George Kospentaris, Panagiotis Spyrou, Dionyssios Lappas] The aim of this study is to investigate the strategies employed by advanced high school and university students working on six tasks concerning comparison and conservation of area. Special care has been taken in the test design so that the problems could be dealt with using a variety of solution methods. Written responses and in-depth interviews with 21 12th graders and university students of mathematics provided the empirical data. The results show that the majority of the participants either did not prefer or had difficulties employing adequately formal reasoning. Visualization factors seem to exert considerable influence. Moreover, many students confuse congruence with area equivalence. Springer Science+Business Media B.V., 2011 Geometry nationallicence Area conservation nationallicence Students' strategies nationallicence Visualization nationallicence Kospentaris George Department of Mathematics, University of Athens, Athens, Greece aut Spyrou Panagiotis Department of Mathematics, University of Athens, Athens, Greece aut Lappas Dionyssios Department of Mathematics, University of Athens, Athens, Greece aut Educational Studies in Mathematics Springer Netherlands 77/1(2011-05-01), 105-127 0013-1954 77:1<105 2011 77 10649 https://doi.org/10.1007/s10649-011-9303-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10649-011-9303-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kospentaris George Department of Mathematics, University of Athens, Athens, Greece aut NATIONALLICENCE 700 1- Spyrou Panagiotis Department of Mathematics, University of Athens, Athens, Greece aut NATIONALLICENCE 700 1- Lappas Dionyssios Department of Mathematics, University of Athens, Athens, Greece aut NATIONALLICENCE 773 0- Educational Studies in Mathematics Springer Netherlands 77/1(2011-05-01), 105-127 0013-1954 77:1<105 2011 77 10649 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer