caa a22 4500 46324642X CHVBK 20180405153327.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s10763-006-9054-7 doi (NATIONALLICENCE)springer-10.1007/s10763-006-9054-7 Relations Between Secondary Pupils' Conceptions About Functions and Problem Solving in Different Representations [Elektronische Daten] [Iliada Elia, Areti Panaoura, Anastasia Eracleous, Athanasios Gagatsis] The present study explores pupils' constructed definitions of the concept of function in relation to their abilities in dealing with tasks of functions involving different forms of representations and problem solving tasks. A major concern is also to examine the interrelations between these three ways of thinking about or dealing with the concept of function. The sample of the study consisted of secondary school pupils in Cyprus. A test was developed which involved seven items: one item requested pupils to provide a definition of what function is and the other six items were developed in order to investigate pupils' ability to transfer information from one representation to another and to solve problems on function. Findings revealed pupils' difficulties in giving a proper definition for the concept of function and resolving problems on functions involving conversions between diverse modes of representation. Several inconsistencies among pupils' constructed definitions, their competence to use different representations of functions and their problem solving ability, were also uncovered, indicating lack of flexibility between different ways of approaching functions. National Science Council, Taiwan, 2006 compartmentalization nationallicence concept definition nationallicence concept image nationallicence conversion nationallicence function nationallicence problem solving nationallicence representation nationallicence Elia Iliada Department of Education, University of Cyprus, P.O. Box. 20537, 1678, Nicosia, Cyprus aut Panaoura Areti Department of Education, University of Cyprus, P.O. Box. 20537, 1678, Nicosia, Cyprus aut Eracleous Anastasia Department of Education, University of Cyprus, P.O. Box. 20537, 1678, Nicosia, Cyprus aut Gagatsis Athanasios Department of Education, University of Cyprus, P.O. Box. 20537, 1678, Nicosia, Cyprus aut International Journal of Science and Mathematics Education Kluwer Academic Publishers 5/3(2007-09-01), 533-556 1571-0068 5:3<533 2007 5 10763 https://doi.org/10.1007/s10763-006-9054-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10763-006-9054-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Elia Iliada Department of Education, University of Cyprus, P.O. Box. 20537, 1678, Nicosia, Cyprus aut NATIONALLICENCE 700 1- Panaoura Areti Department of Education, University of Cyprus, P.O. Box. 20537, 1678, Nicosia, Cyprus aut NATIONALLICENCE 700 1- Eracleous Anastasia Department of Education, University of Cyprus, P.O. Box. 20537, 1678, Nicosia, Cyprus aut NATIONALLICENCE 700 1- Gagatsis Athanasios Department of Education, University of Cyprus, P.O. Box. 20537, 1678, Nicosia, Cyprus aut NATIONALLICENCE 773 0- International Journal of Science and Mathematics Education Kluwer Academic Publishers 5/3(2007-09-01), 533-556 1571-0068 5:3<533 2007 5 10763 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer