000K utf8 1100 2019$c2019-05-16 1500 ger 2050 urn:nbn:de:hbz:464-20190516-131511-7 2051 10.17185/duepublico/48757 3000 Klinger, Marcel 3010 Barzel, Bärbel 4000 Funktionsbegriff$dZur Illusion von Linearität und anderen Hürden beim Funktionalen Denken [Klinger, Marcel] 4209 Am Ende der Schulzeit bleiben bei vielen Schüler*innen oft nur leere Begriffshülsen mathematischer Konzepte. Um hier Abhilfe zu schaffen, müssen Lernende den inhaltlichen Kern der Begriffe wirklich verstehen. Wie dies gelingen kann und welche Hürden Schüler*innen dabei nehmen müssen, erläutert der Artikel am Beispiel des Funktionsbegriffs. 4209 When students leave school, mathematical concepts and notions may still be meaningless, at least to some of them. To remedy this situation, learners must be helped to understand the very core of mathematical notions and associated concepts. How this can be achieved and which obstacles learners must overcome is shown in relation to the notion of “function”. Special attention is given to obstacles which are encountered by a variety of students on their individual learning path in the form of common misconceptions. They include an overgeneralization of linear relationships, also known as illusion of linearity. 4950 https://doi.org/10.17185/duepublico/48757$xR$3Volltext$534 4950 https://nbn-resolving.org/urn:nbn:de:hbz:464-20190516-131511-7$xR$3Volltext$534 4961 https://duepublico2.uni-due.de/receive/duepublico_mods_00048757 5051 510