[{"status":"public","type":"journal_article","_id":"53415","user_id":"70575","department":[{"_id":"548"}],"citation":{"bibtex":"@article{Küster_Weich_2020, title={Pollicott-Ruelle Resonant States and Betti Numbers}, volume={378}, DOI={<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Küster, Benjamin and Weich, Tobias}, year={2020}, pages={917–941} }","mla":"Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, Springer Science and Business Media LLC, 2020, pp. 917–41, doi:<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>.","short":"B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.","apa":"Küster, B., &#38; Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. <i>Communications in Mathematical Physics</i>, <i>378</i>(2), 917–941. <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">https://doi.org/10.1007/s00220-020-03793-2</a>","ama":"Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. <i>Communications in Mathematical Physics</i>. 2020;378(2):917-941. doi:<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>","ieee":"B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,” <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, pp. 917–941, 2020, doi: <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>.","chicago":"Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” <i>Communications in Mathematical Physics</i> 378, no. 2 (2020): 917–41. <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">https://doi.org/10.1007/s00220-020-03793-2</a>."},"intvolume":"       378","page":"917-941","publication_status":"published","publication_identifier":{"issn":["0010-3616","1432-0916"]},"doi":"10.1007/s00220-020-03793-2","date_updated":"2024-04-11T12:36:53Z","author":[{"last_name":"Küster","full_name":"Küster, Benjamin","first_name":"Benjamin"},{"id":"49178","full_name":"Weich, Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","first_name":"Tobias"}],"volume":378,"abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Given a closed orientable hyperbolic manifold of dimension <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\ne 3$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mo>≠</mml:mo>\r\n                    <mml:mn>3</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is stable under small perturbations of the Riemannian metric and simultaneous small perturbations of the geodesic vector field within the class of contact vector fields. For more general perturbations we get bounds on the multiplicity of the resonance zero on all one-forms in terms of the first and zeroth Betti numbers. Furthermore, we identify for hyperbolic manifolds further resonance spaces whose multiplicities are given by higher Betti numbers.\r\n</jats:p>","lang":"eng"}],"publication":"Communications in Mathematical Physics","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"year":"2020","issue":"2","title":"Pollicott-Ruelle Resonant States and Betti Numbers","publisher":"Springer Science and Business Media LLC","date_created":"2024-04-11T12:33:03Z"},{"doi":"10.4119/HLZ-2484","date_updated":"2024-04-11T17:13:34Z","author":[{"first_name":"Catania","last_name":"Pieper","full_name":"Pieper, Catania"},{"last_name":"Kottmann","full_name":"Kottmann, Brigitte","id":"82466","first_name":"Brigitte"},{"first_name":"Susanne","last_name":"Miller","full_name":"Miller, Susanne"}],"volume":3,"citation":{"mla":"Pieper, Catania, et al. “Fallportraits von Bielefelder Grundschulkindern. Fallarbeit in der (phasenübergreifenden) Lehrer_innenbildung.” <i>HLZ - Herausforderung Lehrer_innenbildung, Zeitschrift zur Konzeption, Gestaltung und Diskussion</i>, vol. 3, no. 1, 2020, pp. 94–171, doi:<a href=\"https://doi.org/10.4119/HLZ-2484\">10.4119/HLZ-2484</a>.","bibtex":"@article{Pieper_Kottmann_Miller_2020, title={Fallportraits von Bielefelder Grundschulkindern. Fallarbeit in der (phasenübergreifenden) Lehrer_innenbildung}, volume={3}, DOI={<a href=\"https://doi.org/10.4119/HLZ-2484\">10.4119/HLZ-2484</a>}, number={1}, journal={HLZ - Herausforderung Lehrer_innenbildung, Zeitschrift zur Konzeption, Gestaltung und Diskussion}, author={Pieper, Catania and Kottmann, Brigitte and Miller, Susanne}, year={2020}, pages={94–171} }","short":"C. Pieper, B. Kottmann, S. Miller, HLZ - Herausforderung Lehrer_innenbildung, Zeitschrift zur Konzeption, Gestaltung und Diskussion 3 (2020) 94–171.","apa":"Pieper, C., Kottmann, B., &#38; Miller, S. (2020). Fallportraits von Bielefelder Grundschulkindern. Fallarbeit in der (phasenübergreifenden) Lehrer_innenbildung. <i>HLZ - Herausforderung Lehrer_innenbildung, Zeitschrift zur Konzeption, Gestaltung und Diskussion</i>, <i>3</i>(1), 94–171. <a href=\"https://doi.org/10.4119/HLZ-2484\">https://doi.org/10.4119/HLZ-2484</a>","ama":"Pieper C, Kottmann B, Miller S. Fallportraits von Bielefelder Grundschulkindern. Fallarbeit in der (phasenübergreifenden) Lehrer_innenbildung. <i>HLZ - Herausforderung Lehrer_innenbildung, Zeitschrift zur Konzeption, Gestaltung und Diskussion</i>. 2020;3(1):94-171. doi:<a href=\"https://doi.org/10.4119/HLZ-2484\">10.4119/HLZ-2484</a>","ieee":"C. Pieper, B. Kottmann, and S. Miller, “Fallportraits von Bielefelder Grundschulkindern. Fallarbeit in der (phasenübergreifenden) Lehrer_innenbildung,” <i>HLZ - Herausforderung Lehrer_innenbildung, Zeitschrift zur Konzeption, Gestaltung und Diskussion</i>, vol. 3, no. 1, pp. 94–171, 2020, doi: <a href=\"https://doi.org/10.4119/HLZ-2484\">10.4119/HLZ-2484</a>.","chicago":"Pieper, Catania, Brigitte Kottmann, and Susanne Miller. “Fallportraits von Bielefelder Grundschulkindern. Fallarbeit in der (phasenübergreifenden) Lehrer_innenbildung.” <i>HLZ - Herausforderung Lehrer_innenbildung, Zeitschrift zur Konzeption, Gestaltung und Diskussion</i> 3, no. 1 (2020): 94–171. <a href=\"https://doi.org/10.4119/HLZ-2484\">https://doi.org/10.4119/HLZ-2484</a>."},"intvolume":"         3","page":"94-171","publication_status":"published","has_accepted_license":"1","publication_identifier":{"eissn":["2625-0675"]},"file_date_updated":"2023-01-25T07:44:31Z","_id":"39821","user_id":"71040","department":[{"_id":"479"}],"status":"public","type":"journal_article","title":"Fallportraits von Bielefelder Grundschulkindern. Fallarbeit in der (phasenübergreifenden) Lehrer_innenbildung","date_created":"2023-01-25T07:39:35Z","year":"2020","issue":"1","ddc":["370"],"language":[{"iso":"ger"}],"abstract":[{"lang":"ger","text":"In dem vorliegenden Beitrag werden insgesamt zehn authentische Fallportraits von Bielefelder Grundschulkindern vorgestellt. Sie bieten sowohl Einblicke in die familiäre als auch in die schulische Situation von Kindern, so dass heterogene Lebenswirklichkeiten mehrperspektivisch abgebildet werden. Die Fallportraits können im Rahmen der phasenübergreifenden Lehrer_innenbilung eingesetzt werden, um bspw. Transferprozesse zwischen Theorie und Praxis zu unterstützen, eine kritisch-reflexive Auseinandersetzung sowie ein Sensibilisieren für heterogene Lebenswirklichkeiten zu fördern, etc. Didaktische Implementierungsmöglichkeiten und Anknüpfungspunkte zur Portfolioarbeit (2), vier exemplarische theoretische Schwerpunkte (3) sowie der Prozess der Fallportraitgenerierung (4) werden zunächst im vorliegenden Beitrag erläutert, ehe die zehn Fallportraits (5), ein Fazit (6) und zwei exemplarische Veranschaulichungsmaterialien (7) den Beitrag beenden."}],"file":[{"file_name":"2484-Artikeltext-16104-1-10-20200204 2.pdf","access_level":"closed","file_id":"39822","file_size":3057643,"creator":"schnelll","date_created":"2023-01-25T07:44:31Z","date_updated":"2023-01-25T07:44:31Z","relation":"main_file","success":1,"content_type":"application/pdf"}],"publication":"HLZ - Herausforderung Lehrer_innenbildung, Zeitschrift zur Konzeption, Gestaltung und Diskussion"},{"title":"Die curriculare Entwicklung der Anforderungen von anwendungsbezogenen Aufgaben","doi":"10.17877/DE290R-21455","publisher":"WTM-Verlag","date_updated":"2024-04-14T12:02:34Z","date_created":"2024-04-14T12:02:24Z","author":[{"first_name":"Sara Naseem","id":"38640","full_name":"Malik, Sara Naseem","last_name":"Malik"}],"year":"2020","place":"Münster","citation":{"bibtex":"@inproceedings{Malik_2020, place={Münster}, title={Die curriculare Entwicklung der Anforderungen von anwendungsbezogenen Aufgaben}, DOI={<a href=\"https://doi.org/10.17877/DE290R-21455\">10.17877/DE290R-21455</a>}, booktitle={Beiträge zum Mathematikunterricht 2020. 54. Jahrestagung der Gesellschaft für Didaktik der Mathematik vom 09. bis 13. März 2020 in Würzburg}, publisher={WTM-Verlag}, author={Malik, Sara Naseem}, year={2020} }","mla":"Malik, Sara Naseem. “Die Curriculare Entwicklung Der Anforderungen von Anwendungsbezogenen Aufgaben.” <i>Beiträge Zum Mathematikunterricht 2020. 54. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik Vom 09. Bis 13. März 2020 in Würzburg</i>, WTM-Verlag, 2020, doi:<a href=\"https://doi.org/10.17877/DE290R-21455\">10.17877/DE290R-21455</a>.","short":"S.N. Malik, in: Beiträge Zum Mathematikunterricht 2020. 54. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik Vom 09. Bis 13. März 2020 in Würzburg, WTM-Verlag, Münster, 2020.","apa":"Malik, S. N. (2020). Die curriculare Entwicklung der Anforderungen von anwendungsbezogenen Aufgaben. <i>Beiträge Zum Mathematikunterricht 2020. 54. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik Vom 09. Bis 13. März 2020 in Würzburg</i>. <a href=\"https://doi.org/10.17877/DE290R-21455\">https://doi.org/10.17877/DE290R-21455</a>","ieee":"S. N. Malik, “Die curriculare Entwicklung der Anforderungen von anwendungsbezogenen Aufgaben,” 2020, doi: <a href=\"https://doi.org/10.17877/DE290R-21455\">10.17877/DE290R-21455</a>.","chicago":"Malik, Sara Naseem. “Die Curriculare Entwicklung Der Anforderungen von Anwendungsbezogenen Aufgaben.” In <i>Beiträge Zum Mathematikunterricht 2020. 54. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik Vom 09. Bis 13. März 2020 in Würzburg</i>. Münster: WTM-Verlag, 2020. <a href=\"https://doi.org/10.17877/DE290R-21455\">https://doi.org/10.17877/DE290R-21455</a>.","ama":"Malik SN. Die curriculare Entwicklung der Anforderungen von anwendungsbezogenen Aufgaben. In: <i>Beiträge Zum Mathematikunterricht 2020. 54. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik Vom 09. Bis 13. März 2020 in Würzburg</i>. WTM-Verlag; 2020. doi:<a href=\"https://doi.org/10.17877/DE290R-21455\">10.17877/DE290R-21455</a>"},"has_accepted_license":"1","ddc":["370","510"],"file_date_updated":"2024-04-14T12:02:00Z","language":[{"iso":"eng"}],"_id":"53477","department":[{"_id":"36"}],"user_id":"38640","status":"public","file":[{"date_created":"2024-04-14T12:02:00Z","creator":"smalik","date_updated":"2024-04-14T12:02:00Z","access_level":"closed","file_id":"53478","file_name":"BzMu2020_MALIK-id259.pdf","file_size":283168,"content_type":"application/pdf","relation":"main_file","success":1}],"publication":"Beiträge zum Mathematikunterricht 2020. 54. Jahrestagung der Gesellschaft für Didaktik der Mathematik vom 09. bis 13. März 2020 in Würzburg","type":"conference"},{"volume":165,"author":[{"id":"78162","full_name":"Ricke, Anna","last_name":"Ricke","first_name":"Anna"}],"date_created":"2024-04-15T12:02:07Z","date_updated":"2024-04-15T12:16:26Z","title":"Im Schweigen der Klänge. Zu Farzia Fallahs Sextett \"im selben augenblick\" (2018)","publication_status":"published","page":"11-14","intvolume":"       165","citation":{"bibtex":"@article{Ricke_2020, title={Im Schweigen der Klänge. Zu Farzia Fallahs Sextett “im selben augenblick” (2018)}, volume={165}, journal={ MusikTexte}, author={Ricke, Anna}, year={2020}, pages={11–14} }","mla":"Ricke, Anna. “Im Schweigen der Klänge. Zu Farzia Fallahs Sextett ‘im selben augenblick’ (2018).” <i> MusikTexte</i>, vol. 165, 2020, pp. 11–14.","short":"A. Ricke,  MusikTexte 165 (2020) 11–14.","apa":"Ricke, A. (2020). Im Schweigen der Klänge. Zu Farzia Fallahs Sextett “im selben augenblick” (2018). <i> MusikTexte</i>, <i>165</i>, 11–14.","ieee":"A. Ricke, “Im Schweigen der Klänge. Zu Farzia Fallahs Sextett ‘im selben augenblick’ (2018),” <i> MusikTexte</i>, vol. 165, pp. 11–14, 2020.","chicago":"Ricke, Anna. “Im Schweigen der Klänge. Zu Farzia Fallahs Sextett ‘im selben augenblick’ (2018).” <i> MusikTexte</i> 165 (2020): 11–14.","ama":"Ricke A. Im Schweigen der Klänge. Zu Farzia Fallahs Sextett “im selben augenblick” (2018). <i> MusikTexte</i>. 2020;165:11-14."},"year":"2020","user_id":"78162","_id":"53511","language":[{"iso":"ger"}],"publication":" MusikTexte","type":"journal_article","status":"public"},{"department":[{"_id":"19"}],"user_id":"36049","_id":"17522","language":[{"iso":"eng"}],"keyword":["Securitization","Credit risk transfer","Effective tax rates","European banking"],"article_type":"original","publication":"The Quarterly Review of Economics and Finance","type":"journal_article","status":"public","abstract":[{"text":"Employing a unique hand-collected sample of 956 credit risk securitization transactions issued by 64 stock-listed European banks across the EU-13 plus Switzerland over the period from 1997 to 2010, this paper empirically analyzes the impact of securitization on the issuing banks’ effective tax rates. Our analysis reveals that banks may reduce their tax expense through securitization via a direct and indirect channel suggesting that tax avoidance may be a further motive for banks to engage in the securitization business. These baseline findings remain robust under various robustness checks, especially when implementing structural equation models and controlling for a reverse causality between the banks’ tax burden and their incentive to securitize. Finally, various sensitivity analyses provide further important results and implications for tax policies, banking regulation and the ongoing process of revitalizing the European securitization market.","lang":"eng"}],"date_created":"2020-08-01T07:20:33Z","author":[{"first_name":"André","orcid":"https://orcid.org/0000-0002-8058-8857","last_name":"Uhde","id":"36049","full_name":"Uhde, André"}],"date_updated":"2024-04-17T13:35:56Z","doi":"10.1016/j.qref.2020.07.008","title":"Tax avoidance through securitization","publication_identifier":{"issn":["1062-9769"]},"jel":["G21","G28","H25","H71"],"citation":{"ama":"Uhde A. Tax avoidance through securitization. <i>The Quarterly Review of Economics and Finance</i>. Published online 2020. doi:<a href=\"https://doi.org/10.1016/j.qref.2020.07.008\">10.1016/j.qref.2020.07.008</a>","chicago":"Uhde, André. “Tax Avoidance through Securitization.” <i>The Quarterly Review of Economics and Finance</i>, 2020. <a href=\"https://doi.org/10.1016/j.qref.2020.07.008\">https://doi.org/10.1016/j.qref.2020.07.008</a>.","ieee":"A. Uhde, “Tax avoidance through securitization,” <i>The Quarterly Review of Economics and Finance</i>, 2020, doi: <a href=\"https://doi.org/10.1016/j.qref.2020.07.008\">10.1016/j.qref.2020.07.008</a>.","apa":"Uhde, A. (2020). Tax avoidance through securitization. <i>The Quarterly Review of Economics and Finance</i>. <a href=\"https://doi.org/10.1016/j.qref.2020.07.008\">https://doi.org/10.1016/j.qref.2020.07.008</a>","bibtex":"@article{Uhde_2020, title={Tax avoidance through securitization}, DOI={<a href=\"https://doi.org/10.1016/j.qref.2020.07.008\">10.1016/j.qref.2020.07.008</a>}, journal={The Quarterly Review of Economics and Finance}, author={Uhde, André}, year={2020} }","mla":"Uhde, André. “Tax Avoidance through Securitization.” <i>The Quarterly Review of Economics and Finance</i>, 2020, doi:<a href=\"https://doi.org/10.1016/j.qref.2020.07.008\">10.1016/j.qref.2020.07.008</a>.","short":"A. Uhde, The Quarterly Review of Economics and Finance (2020)."},"year":"2020"},{"date_updated":"2024-04-17T13:36:03Z","author":[{"last_name":"Uhde","orcid":"https://orcid.org/0000-0002-8058-8857","id":"36049","full_name":"Uhde, André","first_name":"André"}],"date_created":"2020-07-20T06:29:36Z","title":"Tax avoidance through securitization","year":"2020","citation":{"apa":"Uhde, A. (2020). Tax avoidance through securitization. <i>The Quarterly Review of Economics and Finance</i>.","mla":"Uhde, André. “Tax Avoidance through Securitization.” <i>The Quarterly Review of Economics and Finance</i>, 2020.","short":"A. Uhde, The Quarterly Review of Economics and Finance (2020).","bibtex":"@article{Uhde_2020, title={Tax avoidance through securitization}, journal={The Quarterly Review of Economics and Finance}, author={Uhde, André}, year={2020} }","ama":"Uhde A. Tax avoidance through securitization. <i>The Quarterly Review of Economics and Finance</i>. Published online 2020.","chicago":"Uhde, André. “Tax Avoidance through Securitization.” <i>The Quarterly Review of Economics and Finance</i>, 2020.","ieee":"A. Uhde, “Tax avoidance through securitization,” <i>The Quarterly Review of Economics and Finance</i>, 2020."},"jel":["G21","G28","H25","H71"],"_id":"17401","department":[{"_id":"19"}],"user_id":"36049","keyword":["Securitization","credit risk transfer","effective tax rates","European banking"],"language":[{"iso":"eng"}],"publication":"The Quarterly Review of Economics and Finance","type":"journal_article","abstract":[{"text":"Employing a unique hand-collected sample of 956 credit risk securitization transactions issued by 64 stock-listed European banks across the EU-13 plus Switzerland over the period from 1997 to 2010, this paper empirically analyzes the impact of securitization on the issuing banks’ effective tax rates. Our analysis reveals that banks may reduce their tax expense through securitization via a direct and indirect channel suggesting that tax avoidance may be a further motive for banks to engage in the securitization business. These baseline findings remain robust under various robustness checks, especially when implementing structural equation models and controlling for a reverse causality between the banks’ tax burden and their incentive to securitize. Finally, various sensitivity analyses provide further important results and implications for tax policies, banking regulation and the ongoing process of revitalizing the European securitization market.","lang":"eng"}],"status":"public"},{"type":"dissertation","status":"public","user_id":"25394","_id":"53562","language":[{"iso":"eng"}],"citation":{"ieee":"M.-A. Kückmann, <i>Multiprofessionelle Teamarbeit (MPT) im Kontext einer Dualität des Sozialen. Eine rekonstruktive Mehrebenenanalyse am Berufskolleg vor dem Hintergrund inklusiver Bildung.</i> Detmold: Eusl, 2020.","chicago":"Kückmann, Marie-Ann. <i>Multiprofessionelle Teamarbeit (MPT) Im Kontext Einer Dualität Des Sozialen. Eine Rekonstruktive Mehrebenenanalyse Am Berufskolleg Vor Dem Hintergrund Inklusiver Bildung.</i> Detmold: Eusl, 2020.","ama":"Kückmann M-A. <i>Multiprofessionelle Teamarbeit (MPT) Im Kontext Einer Dualität Des Sozialen. Eine Rekonstruktive Mehrebenenanalyse Am Berufskolleg Vor Dem Hintergrund Inklusiver Bildung.</i> Eusl; 2020.","apa":"Kückmann, M.-A. (2020). <i>Multiprofessionelle Teamarbeit (MPT) im Kontext einer Dualität des Sozialen. Eine rekonstruktive Mehrebenenanalyse am Berufskolleg vor dem Hintergrund inklusiver Bildung.</i> Eusl.","bibtex":"@book{Kückmann_2020, place={Detmold}, title={Multiprofessionelle Teamarbeit (MPT) im Kontext einer Dualität des Sozialen. Eine rekonstruktive Mehrebenenanalyse am Berufskolleg vor dem Hintergrund inklusiver Bildung.}, publisher={Eusl}, author={Kückmann, Marie-Ann}, year={2020} }","mla":"Kückmann, Marie-Ann. <i>Multiprofessionelle Teamarbeit (MPT) Im Kontext Einer Dualität Des Sozialen. Eine Rekonstruktive Mehrebenenanalyse Am Berufskolleg Vor Dem Hintergrund Inklusiver Bildung.</i> Eusl, 2020.","short":"M.-A. Kückmann, Multiprofessionelle Teamarbeit (MPT) Im Kontext Einer Dualität Des Sozialen. Eine Rekonstruktive Mehrebenenanalyse Am Berufskolleg Vor Dem Hintergrund Inklusiver Bildung., Eusl, Detmold, 2020."},"place":"Detmold","year":"2020","author":[{"last_name":"Kückmann","id":"25394","full_name":"Kückmann, Marie-Ann","first_name":"Marie-Ann"}],"date_created":"2024-04-17T17:50:54Z","publisher":"Eusl","date_updated":"2024-04-17T17:51:07Z","title":"Multiprofessionelle Teamarbeit (MPT) im Kontext einer Dualität des Sozialen. Eine rekonstruktive Mehrebenenanalyse am Berufskolleg vor dem Hintergrund inklusiver Bildung."},{"editor":[{"full_name":"Kadunz, Gert","last_name":"Kadunz","first_name":"Gert"}],"status":"public","publication":"Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und Praxis","type":"book_chapter","language":[{"iso":"eng"}],"alternative_title":["Vergleich zweier methodischer Zugänge"],"_id":"44685","department":[{"_id":"360"}],"user_id":"31132","place":"Berlin, Heidelberg","year":"2020","page":"85–112","citation":{"ieee":"J. Schumacher and S. Rezat, “Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen,” in <i>Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und Praxis</i>, G. Kadunz, Ed. 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Kadunz (Ed.), <i>Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und Praxis</i> (pp. 85–112). Springer. <a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">https://doi.org/10.1007/978-3-662-61194-4_5</a>","bibtex":"@inbook{Schumacher_Rezat_2020, place={Berlin, Heidelberg}, title={Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen}, DOI={<a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">10.1007/978-3-662-61194-4_5</a>}, booktitle={Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und Praxis}, publisher={Springer}, author={Schumacher, Jan and Rezat, Sebastian}, editor={Kadunz, Gert}, year={2020}, pages={85–112} }","short":"J. Schumacher, S. Rezat, in: G. 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Routledge."},"publication_identifier":{"eisbn":["9781003008460"]},"related_material":{"link":[{"relation":"confirmation","url":"https://www.taylorfrancis.com/chapters/edit/10.4324/9781003008460-10/theory-based-design-professional-development-upper-secondary-teachers-focusing-content-specific-use-digital-tools-b%C3%A4rbel-barzel-rolf-biehler"}]},"title":"Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools","date_updated":"2024-04-18T09:51:25Z","publisher":"Routledge","date_created":"2023-01-10T11:09:37Z","author":[{"last_name":"Barzel","full_name":"Barzel, Bärbel","first_name":"Bärbel"},{"last_name":"Biehler","id":"16274","full_name":"Biehler, Rolf","first_name":"Rolf"}]},{"date_updated":"2024-04-18T09:53:18Z","author":[{"first_name":"Frank","full_name":"Feudel, Frank","last_name":"Feudel"},{"last_name":"Biehler","id":"16274","full_name":"Biehler, Rolf","first_name":"Rolf"}],"volume":42,"doi":"10.1007/s13138-020-00174-z","publication_status":"published","publication_identifier":{"issn":["0173-5322","1869-2699"]},"citation":{"short":"F. Feudel, R. Biehler, Journal Für Mathematik-Didaktik 42 (2020) 273–305.","bibtex":"@article{Feudel_Biehler_2020, title={Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics}, volume={42}, DOI={<a href=\"https://doi.org/10.1007/s13138-020-00174-z\">10.1007/s13138-020-00174-z</a>}, number={1}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science and Business Media LLC}, author={Feudel, Frank and Biehler, Rolf}, year={2020}, pages={273–305} }","mla":"Feudel, Frank, and Rolf Biehler. “Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics.” <i>Journal Für Mathematik-Didaktik</i>, vol. 42, no. 1, Springer Science and Business Media LLC, 2020, pp. 273–305, doi:<a href=\"https://doi.org/10.1007/s13138-020-00174-z\">10.1007/s13138-020-00174-z</a>.","apa":"Feudel, F., &#38; Biehler, R. (2020). Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics. <i>Journal Für Mathematik-Didaktik</i>, <i>42</i>(1), 273–305. <a href=\"https://doi.org/10.1007/s13138-020-00174-z\">https://doi.org/10.1007/s13138-020-00174-z</a>","chicago":"Feudel, Frank, and Rolf Biehler. “Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics.” <i>Journal Für Mathematik-Didaktik</i> 42, no. 1 (2020): 273–305. <a href=\"https://doi.org/10.1007/s13138-020-00174-z\">https://doi.org/10.1007/s13138-020-00174-z</a>.","ieee":"F. Feudel and R. Biehler, “Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics,” <i>Journal für Mathematik-Didaktik</i>, vol. 42, no. 1, pp. 273–305, 2020, doi: <a href=\"https://doi.org/10.1007/s13138-020-00174-z\">10.1007/s13138-020-00174-z</a>.","ama":"Feudel F, Biehler R. Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics. <i>Journal für Mathematik-Didaktik</i>. 2020;42(1):273-305. doi:<a href=\"https://doi.org/10.1007/s13138-020-00174-z\">10.1007/s13138-020-00174-z</a>"},"intvolume":"        42","page":"273-305","_id":"35822","user_id":"37888","department":[{"_id":"363"}],"type":"journal_article","status":"public","publisher":"Springer Science and Business Media LLC","date_created":"2023-01-10T11:45:46Z","title":"Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics","issue":"1","year":"2020","keyword":["Education","General Mathematics"],"language":[{"iso":"eng"}],"publication":"Journal für Mathematik-Didaktik","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>The 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.</jats:p>","lang":"eng"}]},{"status":"public","type":"journal_article","publication":"Frontiers in Psychology","keyword":["General Psychology"],"language":[{"iso":"eng"}],"_id":"35709","user_id":"37888","department":[{"_id":"363"}],"year":"2020","citation":{"apa":"Kempen, L., &#38; Biehler, R. (2020). Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology. <i>Frontiers in Psychology</i>, <i>11</i>, 1180. <a href=\"https://doi.org/10.3389/fpsyg.2020.01180\">https://doi.org/10.3389/fpsyg.2020.01180</a>","mla":"Kempen, Leander, and Rolf Biehler. “Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology.” <i>Frontiers in Psychology</i>, vol. 11, Frontiers Media SA, 2020, p. 1180, doi:<a href=\"https://doi.org/10.3389/fpsyg.2020.01180\">10.3389/fpsyg.2020.01180</a>.","bibtex":"@article{Kempen_Biehler_2020, title={Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology}, volume={11}, DOI={<a href=\"https://doi.org/10.3389/fpsyg.2020.01180\">10.3389/fpsyg.2020.01180</a>}, journal={Frontiers in Psychology}, publisher={Frontiers Media SA}, author={Kempen, Leander and Biehler, Rolf}, year={2020}, pages={1180} }","short":"L. Kempen, R. Biehler, Frontiers in Psychology 11 (2020) 1180.","ieee":"L. Kempen and R. Biehler, “Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology,” <i>Frontiers in Psychology</i>, vol. 11, p. 1180, 2020, doi: <a href=\"https://doi.org/10.3389/fpsyg.2020.01180\">10.3389/fpsyg.2020.01180</a>.","chicago":"Kempen, Leander, and Rolf Biehler. “Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology.” <i>Frontiers in Psychology</i> 11 (2020): 1180. <a href=\"https://doi.org/10.3389/fpsyg.2020.01180\">https://doi.org/10.3389/fpsyg.2020.01180</a>.","ama":"Kempen L, Biehler R. Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology. <i>Frontiers in Psychology</i>. 2020;11:1180. doi:<a href=\"https://doi.org/10.3389/fpsyg.2020.01180\">10.3389/fpsyg.2020.01180</a>"},"intvolume":"        11","page":"1180","publication_status":"published","publication_identifier":{"issn":["1664-1078"]},"title":"Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology","doi":"10.3389/fpsyg.2020.01180","date_updated":"2024-04-18T09:57:09Z","publisher":"Frontiers Media SA","date_created":"2023-01-10T09:13:13Z","author":[{"first_name":"Leander","last_name":"Kempen","full_name":"Kempen, Leander"},{"full_name":"Biehler, Rolf","id":"16274","last_name":"Biehler","first_name":"Rolf"}],"volume":11},{"_id":"35827","user_id":"37888","department":[{"_id":"363"}],"language":[{"iso":"ger"}],"type":"book_chapter","publication":"Beiträge zum Mathematikunterricht 2020","editor":[{"last_name":"Siller","full_name":"Siller, H.-S.","first_name":"H.-S."},{"first_name":"W.","last_name":"Weigel","full_name":"Weigel, W."},{"full_name":"Wörler, J. F.","last_name":"Wörler","first_name":"J. F."}],"status":"public","date_updated":"2024-04-18T09:57:55Z","publisher":"WTM-Verlag","date_created":"2023-01-10T11:53:40Z","author":[{"full_name":"Kempen, Leander","last_name":"Kempen","first_name":"Leander"},{"first_name":"Sandra","full_name":"Krämer, Sandra","last_name":"Krämer"},{"first_name":"Rolf","full_name":"Biehler, Rolf","id":"16274","last_name":"Biehler"}],"title":"Was verstehen Schülerinnen und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie","doi":"10.17877/DE290R-21418","year":"2020","place":"Münster","citation":{"short":"L. Kempen, S. Krämer, R. Biehler, in: H.-S. Siller, W. Weigel, J.F. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020, WTM-Verlag, Münster, 2020, pp. 489–492.","mla":"Kempen, Leander, et al. “Was verstehen Schülerinnen und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie.” <i>Beiträge zum Mathematikunterricht 2020</i>, edited by H.-S. Siller et al., WTM-Verlag, 2020, pp. 489–92, doi:<a href=\"https://doi.org/10.17877/DE290R-21418\">10.17877/DE290R-21418</a>.","bibtex":"@inbook{Kempen_Krämer_Biehler_2020, place={Münster}, title={Was verstehen Schülerinnen und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie}, DOI={<a href=\"https://doi.org/10.17877/DE290R-21418\">10.17877/DE290R-21418</a>}, booktitle={Beiträge zum Mathematikunterricht 2020}, publisher={WTM-Verlag}, author={Kempen, Leander and Krämer, Sandra and Biehler, Rolf}, editor={Siller, H.-S. and Weigel, W. and Wörler, J. F.}, year={2020}, pages={489–492} }","apa":"Kempen, L., Krämer, S., &#38; Biehler, R. (2020). Was verstehen Schülerinnen und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie. In H.-S. Siller, W. Weigel, &#38; J. F. Wörler (Eds.), <i>Beiträge zum Mathematikunterricht 2020</i> (pp. 489–492). WTM-Verlag. <a href=\"https://doi.org/10.17877/DE290R-21418\">https://doi.org/10.17877/DE290R-21418</a>","ama":"Kempen L, Krämer S, Biehler R. Was verstehen Schülerinnen und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie. In: Siller H-S, Weigel W, Wörler JF, eds. <i>Beiträge zum Mathematikunterricht 2020</i>. WTM-Verlag; 2020:489-492. doi:<a href=\"https://doi.org/10.17877/DE290R-21418\">10.17877/DE290R-21418</a>","ieee":"L. Kempen, S. Krämer, and R. Biehler, “Was verstehen Schülerinnen und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie,” in <i>Beiträge zum Mathematikunterricht 2020</i>, H.-S. Siller, W. Weigel, and J. F. Wörler, Eds. Münster: WTM-Verlag, 2020, pp. 489–492.","chicago":"Kempen, Leander, Sandra Krämer, and Rolf Biehler. “Was verstehen Schülerinnen und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie.” In <i>Beiträge zum Mathematikunterricht 2020</i>, edited by H.-S. Siller, W. Weigel, and J. F. Wörler, 489–92. Münster: WTM-Verlag, 2020. <a href=\"https://doi.org/10.17877/DE290R-21418\">https://doi.org/10.17877/DE290R-21418</a>."},"page":"489-492"},{"publication":"Beiträge zum Mathematikunterricht 2020","type":"book_chapter","status":"public","editor":[{"first_name":"H.-S.","last_name":"Siller","full_name":"Siller, H.-S."},{"last_name":"Weigel","full_name":"Weigel, W.","first_name":"W."},{"first_name":"J. F.","last_name":"Wörler","full_name":"Wörler, J. F."}],"department":[{"_id":"363"}],"user_id":"37888","_id":"35819","language":[{"iso":"ger"}],"page":"1347-1348","citation":{"chicago":"Biehler, Rolf, Leander Kempen, and Walther Paravicini. “Hochschuldidaktik Mathematik: Fachbezogenes Design und empirische Studien.” In <i>Beiträge zum Mathematikunterricht 2020</i>, edited by H.-S. Siller, W. Weigel, and J. F. Wörler, 1347–48. Münster: WTM-Verlag, 2020. <a href=\"https://doi.org/10.17877/DE290R-21487\">https://doi.org/10.17877/DE290R-21487</a>.","ieee":"R. Biehler, L. Kempen, and W. Paravicini, “Hochschuldidaktik Mathematik: Fachbezogenes Design und empirische Studien,” in <i>Beiträge zum Mathematikunterricht 2020</i>, H.-S. Siller, W. Weigel, and J. F. Wörler, Eds. Münster: WTM-Verlag, 2020, pp. 1347–1348.","ama":"Biehler R, Kempen L, Paravicini W. Hochschuldidaktik Mathematik: Fachbezogenes Design und empirische Studien. In: Siller H-S, Weigel W, Wörler JF, eds. <i>Beiträge zum Mathematikunterricht 2020</i>. WTM-Verlag; 2020:1347-1348. doi:<a href=\"https://doi.org/10.17877/DE290R-21487\">10.17877/DE290R-21487</a>","apa":"Biehler, R., Kempen, L., &#38; Paravicini, W. (2020). Hochschuldidaktik Mathematik: Fachbezogenes Design und empirische Studien. In H.-S. Siller, W. Weigel, &#38; J. F. Wörler (Eds.), <i>Beiträge zum Mathematikunterricht 2020</i> (pp. 1347–1348). WTM-Verlag. <a href=\"https://doi.org/10.17877/DE290R-21487\">https://doi.org/10.17877/DE290R-21487</a>","bibtex":"@inbook{Biehler_Kempen_Paravicini_2020, place={Münster}, title={Hochschuldidaktik Mathematik: Fachbezogenes Design und empirische Studien}, DOI={<a href=\"https://doi.org/10.17877/DE290R-21487\">10.17877/DE290R-21487</a>}, booktitle={Beiträge zum Mathematikunterricht 2020}, publisher={WTM-Verlag}, author={Biehler, Rolf and Kempen, Leander and Paravicini, Walther}, editor={Siller, H.-S. and Weigel, W. and Wörler, J. F.}, year={2020}, pages={1347–1348} }","short":"R. Biehler, L. Kempen, W. Paravicini, in: H.-S. Siller, W. Weigel, J.F. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020, WTM-Verlag, Münster, 2020, pp. 1347–1348.","mla":"Biehler, Rolf, et al. “Hochschuldidaktik Mathematik: Fachbezogenes Design und empirische Studien.” <i>Beiträge zum Mathematikunterricht 2020</i>, edited by H.-S. Siller et al., WTM-Verlag, 2020, pp. 1347–48, doi:<a href=\"https://doi.org/10.17877/DE290R-21487\">10.17877/DE290R-21487</a>."},"year":"2020","place":"Münster","date_created":"2023-01-10T11:31:01Z","author":[{"last_name":"Biehler","full_name":"Biehler, Rolf","id":"16274","first_name":"Rolf"},{"first_name":"Leander","full_name":"Kempen, Leander","last_name":"Kempen"},{"full_name":"Paravicini, Walther","last_name":"Paravicini","first_name":"Walther"}],"publisher":"WTM-Verlag","date_updated":"2024-04-18T09:53:08Z","doi":"10.17877/DE290R-21487","title":"Hochschuldidaktik Mathematik: Fachbezogenes Design und empirische Studien"},{"title":"Frei verfügbare Materialien für Unterricht und Fortbildung: Stochastik verständnisorientiert unterrichten","date_updated":"2024-04-18T09:56:28Z","date_created":"2023-01-10T11:53:03Z","author":[{"full_name":"Griese, Birgit","last_name":"Griese","first_name":"Birgit"},{"last_name":"Nieszporek","full_name":"Nieszporek, Ralf","first_name":"Ralf"},{"first_name":"Rolf","id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler"}],"volume":40,"year":"2020","citation":{"apa":"Griese, B., Nieszporek, R., &#38; Biehler, R. (2020). Frei verfügbare Materialien für Unterricht und Fortbildung: Stochastik verständnisorientiert unterrichten. <i>Stochastik in der Schule</i>, <i>40</i>(1), 10–17.","mla":"Griese, Birgit, et al. “Frei verfügbare Materialien für Unterricht und Fortbildung: Stochastik verständnisorientiert unterrichten.” <i>Stochastik in der Schule</i>, vol. 40, no. 1, 2020, pp. 10–17.","short":"B. Griese, R. Nieszporek, R. Biehler, Stochastik in der Schule 40 (2020) 10–17.","bibtex":"@article{Griese_Nieszporek_Biehler_2020, title={Frei verfügbare Materialien für Unterricht und Fortbildung: Stochastik verständnisorientiert unterrichten}, volume={40}, number={1}, journal={Stochastik in der Schule}, author={Griese, Birgit and Nieszporek, Ralf and Biehler, Rolf}, year={2020}, pages={10–17} }","ama":"Griese B, Nieszporek R, Biehler R. Frei verfügbare Materialien für Unterricht und Fortbildung: Stochastik verständnisorientiert unterrichten. <i>Stochastik in der Schule</i>. 2020;40(1):10-17.","ieee":"B. Griese, R. Nieszporek, and R. Biehler, “Frei verfügbare Materialien für Unterricht und Fortbildung: Stochastik verständnisorientiert unterrichten,” <i>Stochastik in der Schule</i>, vol. 40, no. 1, pp. 10–17, 2020.","chicago":"Griese, Birgit, Ralf Nieszporek, and Rolf Biehler. “Frei verfügbare Materialien für Unterricht und Fortbildung: Stochastik verständnisorientiert unterrichten.” <i>Stochastik in der Schule</i> 40, no. 1 (2020): 10–17."},"intvolume":"        40","page":"10-17","issue":"1","language":[{"iso":"ger"}],"_id":"35826","user_id":"37888","department":[{"_id":"363"}],"status":"public","type":"journal_article","publication":"Stochastik in der Schule"}]