TY - JOUR AB - AbstractThe derivative concept plays a major role in economics. However, its use in economics is very heterogeneous, sometimes inconsistent, and contradicts students’ prior knowledge from school. This applies in particular to the common economic interpretation of the derivative as the amount of change while increasing the production by one unit. Hence, in calculus courses for economics students, learners should acquire an understanding of the derivative that is mathematically acceptable and connected to their prior knowledge, but which also takes into account its practical use in economics. In this paper we first develop a theoretical model describing such an understanding of the derivative for economics students. We then present an exploratory study investigating the extent to which economics students have such an understanding after their calculus course. The results indicate that many of them might not have acquired this kind of understanding, in particular concerning the common economic interpretation of the derivative. The study furthermore yields possible gaps in students’ understanding and possible misconceptions. AU - Feudel, Frank AU - Biehler, Rolf ID - 35822 IS - 1 JF - Journal für Mathematik-Didaktik KW - Education KW - General Mathematics SN - 0173-5322 TI - Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics VL - 42 ER - TY - CHAP AU - Fleischer, Yannik AU - Biehler, Rolf ED - Siller, H.-S. ED - Weigel, W. ED - Wörler, J. F. ID - 35823 T2 - Beiträge zum Mathematikunterricht 2020 TI - Automatisierte Entscheidungsverfahren als Thema im allgemeinbildenden Mathematikunterricht ER - TY - JOUR AU - Griese, Birgit AU - Nieszporek, Ralf AU - Biehler, Rolf ID - 35826 IS - 1 JF - Stochastik in der Schule TI - Frei verfügbare Materialien für Unterricht und Fortbildung: Stochastik verständnisorientiert unterrichten VL - 40 ER - TY - JOUR AU - Kempen, Leander AU - Biehler, Rolf ID - 35709 JF - Frontiers in Psychology KW - General Psychology SN - 1664-1078 TI - Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology VL - 11 ER - TY - CHAP AU - Kempen, Leander AU - Krämer, Sandra AU - Biehler, Rolf ED - Hausberger, T. ED - Bosch, M. ED - Chelloughi, F. ID - 35829 T2 - Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020) TI - Investigating high school graduates’ personal meaning of the notion of “mathematical proof” ER - TY - CHAP AU - Kempen, Leander AU - Krämer, Sandra AU - Biehler, Rolf ED - Siller, H.-S. ED - Weigel, W. ED - Wörler, J. F. ID - 35827 T2 - Beiträge zum Mathematikunterricht 2020 TI - Was verstehen Schülerinnen und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie ER - TY - CHAP AU - Lünne, Steffen AU - Schnell, Susanne AU - Biehler, Rolf ED - Porsch, R. ED - Rösken-Winter, B. ID - 35914 SN - 9783658272920 T2 - Professionelles Handeln im fachfremd erteilten Mathematikunterricht TI - Ffunt@OWL – Konzept und Gestaltungsprinzipien zur Qualifizierung fachfremd Mathematik unterrichtender Lehrkräfte der Sekundarstufe I ER - TY - CHAP AU - Liebendörfer, Michael AU - Göller, Robin AU - Gildehaus, Lara AU - Kortemeyer, Jörg AU - Biehler, Rolf AU - Hochmuth, Reinhard AU - Ostsieker, Laura AU - Rode, Jana AU - Schaper, Niclas ED - Hausberger, T. ED - Bosch, M. ED - Chelloughi, F. ID - 35913 T2 - Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020) TI - The role of learning strategies for performance in mathematics courses for engineers ER - TY - CONF AU - Scheer, D. AU - Laubenstein, Désirée ID - 35786 TI - Optimierung von Organisationsstrukturen für die emotionale und soziale Entwicklung? Wissenschaftliche Begleitung des Projekts „Geschwisterklassen“ - online. ER - TY - CONF AU - Scheer, D. AU - Laubenstein, Désirée ID - 35791 TI - Auswirkungen der Corona-Schulschließungen auf Schülerinnen und Schüler mit und ohne Förderbedarf der emotionalen und sozialen Entwicklung (COFESE) - online. ER - TY - JOUR AU - Schlangenotto, Darius AU - Schnedler, Wendelin AU - Vadovic, Radovan ID - 17862 IS - 3 JF - Games TI - Against All Odds: Tentative Steps Toward Efficient Information Sharing in Groups VL - 11 ER - TY - JOUR AU - Schnedler, Wendelin AU - Stephan, Nina Lucia ID - 18236 JF - Schmalenbach Business Review SN - 1439-2917 TI - Revisiting a Remedy Against Chains of Unkindness ER - TY - BOOK AU - Krimphove, Dieter ID - 36161 TI - Werberecht (Gesetze, Urteile, Fälle und Lösungen, Sprachfassung auf interaktiver CD) 2. Auflage ER - TY - JOUR AU - Krimphove, Dieter AU - Lüke, Christoph ID - 36185 IS - Januar/Februar JF - Corporate Finance TI - Reverse Factoring: Eine alternative Finanzierungsform in der Praxis ER - TY - JOUR AU - Krimphove, Dieter ID - 36187 IS - 5 JF - Compliance Berater TI - Nachhaltigkeit und Compliance ER - TY - JOUR AU - Krimphove, Dieter ID - 36190 IS - 20 JF - ArbR - Arbeitsrecht Aktuell TI - EuGH entscheidet zu Lücken im Europäischen Vorrangsprinzip ER - TY - CONF AB - At Paderborn University, a new 6th semester geometry-course for upper secondary student teachers has been designed and taught by the first author of this paper. To show links between academic mathematics and school mathematics we established so-called interface weeks. These are weeks during a course in which lecture, exercises and homework focus on topics that are related to the normal canon of content but specially chosen for their relevance in school contexts. In this article, we want to present our design for an interface week on the topic of congruence. In order to do so, we first illustrate how so-called interface aspects are used to systematize the mathematical background of the topic, thus giving future mathematics teachers the chance to act professionally. We then show examples of learning activities and first results of the accompanying research. AU - Hoffmann, Max AU - Biehler, Rolf ID - 31361 T2 - INDRUM 2020, Université de Carthage, Université de Montpellier, Sep 2020, Cyberspace (virtually from Bizerte), Tunisia TI - Designing a Geometry Capstone Course for Student Teachers: Bridging the gap between academic mathematics and school mathematics in the case of congruence ER - TY - CHAP AU - Kamp, Hermann ED - Dingel, Irene ED - Rohrschneider, Michael ED - Schmidt-Voges, Inken ED - Westphal, Siegrid ED - Whaley, Joachim ID - 34606 T2 - Handbuch Frieden im Europa der Frühen Neuzeit / Handbook of Peace in Early Modern Europe TI - Antike und mittelalterliche Grundlagen frühneuzeitlicher Friedensvorstellungen ER - TY - CHAP AU - Kamp, Hermann ED - Arcangeli , Allesandro ED - Rogge , Jörg ED - Salmi, Hannu ID - 36039 T2 - The Routledge Companion to Cultural History in the Western World TI - Culture of Politics in the Middle Ages: Rituals to create and confirm political order ER - TY - CHAP AU - Kamp, Hermann AU - Schmitz, Sabine ED - Kamp, Hermann ED - Schmitz, Sabine ID - 36245 T2 - Erinnerungsorte in Belgien. Instrumente lokaler, regionaler und nationaler Sinnstiftung TI - Einleitung ER -