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Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>, <i>41</i>(1), 638–728. <a href=\"https://doi.org/10.1093/imanum/drz073\">https://doi.org/10.1093/imanum/drz073</a>","short":"D. Hipp, B. 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Hipp and B. Kovács, “Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates,” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, pp. 638–728, 2020, doi: <a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>.","ama":"Hipp D, Kovács B. 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Hipp and B. Kovács, “Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates,” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, pp. 638–728, 2020, doi: <a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>.","ama":"Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>. 2020;41(1):638-728. doi:<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>","apa":"Hipp, D., &#38; Kovács, B. (2020). 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Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. <i>Mathematics of Computation</i>. 2020;90(329):995-1038. doi:<a href=\"https://doi.org/10.1090/mcom/3597\">10.1090/mcom/3597</a>"},"intvolume":"        90","page":"995-1038","publication_status":"published","publication_identifier":{"issn":["0025-5718","1088-6842"]},"issue":"329"},{"publication_identifier":{"issn":["1463-9963"]},"publication_status":"published","intvolume":"        22","page":"443-464","citation":{"chicago":"Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Algorithm for Forced Mean Curvature Flow Driven by Diffusion on the Surface.” <i>Interfaces and Free Boundaries</i> 22, no. 4 (2020): 443–64. <a href=\"https://doi.org/10.4171/ifb/446\">https://doi.org/10.4171/ifb/446</a>.","ieee":"B. Kovács, B. Li, and C. 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A convergent algorithm for forced mean curvature flow driven by diffusion on the surface. <i>Interfaces and Free Boundaries</i>, <i>22</i>(4), 443–464. <a href=\"https://doi.org/10.4171/ifb/446\">https://doi.org/10.4171/ifb/446</a>"},"date_updated":"2024-04-03T09:21:02Z","volume":22,"author":[{"first_name":"Balázs","full_name":"Kovács, Balázs","id":"100441","last_name":"Kovács","orcid":"0000-0001-9872-3474"},{"first_name":"Buyang","last_name":"Li","full_name":"Li, Buyang"},{"first_name":"Christian","last_name":"Lubich","full_name":"Lubich, Christian"}],"doi":"10.4171/ifb/446","type":"journal_article","status":"public","_id":"45952","department":[{"_id":"841"}],"user_id":"100441","issue":"4","year":"2020","publisher":"European Mathematical Society - EMS - Publishing House GmbH","date_created":"2023-07-10T11:42:14Z","title":"A convergent algorithm for forced mean curvature flow driven by diffusion on the surface","publication":"Interfaces and Free Boundaries","keyword":["Applied Mathematics"],"language":[{"iso":"eng"}]},{"_id":"34632","user_id":"49063","department":[{"_id":"10"}],"language":[{"iso":"eng"}],"type":"book_chapter","publication":"Multivariate Algorithms and Information-Based Complexity","editor":[{"last_name":"Hickernell","full_name":"Hickernell, Fred J.","first_name":"Fred J."},{"first_name":"Peter","last_name":"Kritzer","full_name":"Kritzer, Peter"}],"status":"public","publisher":"De Gruyter","date_updated":"2024-04-03T11:03:30Z","author":[{"full_name":"Hesse, Kerstin","id":"42608","last_name":"Hesse","orcid":"0000-0003-4125-1941","first_name":"Kerstin"}],"date_created":"2022-12-20T17:34:38Z","title":"RBF-based penalized least-squares approximation of noisy scattered data on the sphere","publication_identifier":{"isbn":["9783110633115"]},"year":"2020","place":"Berlin/Boston","citation":{"apa":"Hesse, K. 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Hickernell and Peter Kritzer, De Gruyter, 2020, pp. 33–42.","bibtex":"@inbook{Hesse_2020, place={Berlin/Boston}, title={RBF-based penalized least-squares approximation of noisy scattered data on the sphere}, booktitle={Multivariate Algorithms and Information-Based Complexity}, publisher={De Gruyter}, author={Hesse, Kerstin}, editor={Hickernell, Fred J. and Kritzer, Peter}, year={2020}, pages={33–42} }","ama":"Hesse K. RBF-based penalized least-squares approximation of noisy scattered data on the sphere. In: Hickernell FJ, Kritzer P, eds. <i>Multivariate Algorithms and Information-Based Complexity</i>. De Gruyter; 2020:33-42.","chicago":"Hesse, Kerstin. “RBF-Based Penalized Least-Squares Approximation of Noisy Scattered Data on the Sphere.” In <i>Multivariate Algorithms and Information-Based Complexity</i>, edited by Fred J. Hickernell and Peter Kritzer, 33–42. Berlin/Boston: De Gruyter, 2020.","ieee":"K. Hesse, “RBF-based penalized least-squares approximation of noisy scattered data on the sphere,” in <i>Multivariate Algorithms and Information-Based Complexity</i>, F. J. Hickernell and P. Kritzer, Eds. Berlin/Boston: De Gruyter, 2020, pp. 33–42."},"page":"33-42 "},{"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"language":[{"iso":"eng"}],"publication":"Communications in Mathematical Physics","abstract":[{"lang":"eng","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>"}],"publisher":"Springer Science and Business Media LLC","date_created":"2024-04-11T12:33:03Z","title":"Pollicott-Ruelle Resonant States and Betti Numbers","issue":"2","year":"2020","_id":"53415","user_id":"70575","department":[{"_id":"548"}],"type":"journal_article","status":"public","date_updated":"2024-04-11T12:36:53Z","author":[{"first_name":"Benjamin","full_name":"Küster, Benjamin","last_name":"Küster"},{"id":"49178","full_name":"Weich, Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919","first_name":"Tobias"}],"volume":378,"doi":"10.1007/s00220-020-03793-2","publication_status":"published","publication_identifier":{"issn":["0010-3616","1432-0916"]},"citation":{"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>.","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>.","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>","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>","short":"B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.","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>."},"intvolume":"       378","page":"917-941"},{"citation":{"ama":"Schumacher J, Rezat S. Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. In: Kadunz G, ed. <i>Zeichen Und Sprache Im Mathematikunterricht: Semiotik in Theorie Und Praxis</i>. Springer; 2020:85–112. doi:<a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">10.1007/978-3-662-61194-4_5</a>","chicago":"Schumacher, Jan, and Sebastian Rezat. “Rekonstruktion Diagrammatischen Schließens Beim Erlernen Der Subtraktion Negativer Zahlen.” In <i>Zeichen Und Sprache Im Mathematikunterricht: Semiotik in Theorie Und Praxis</i>, edited by Gert Kadunz, 85–112. Berlin, Heidelberg: Springer, 2020. <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>.","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. Berlin, Heidelberg: Springer, 2020, pp. 85–112.","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. Kadunz (Ed.), Zeichen Und Sprache Im Mathematikunterricht: Semiotik in Theorie Und Praxis, Springer, Berlin, Heidelberg, 2020, pp. 85–112.","mla":"Schumacher, Jan, and Sebastian Rezat. “Rekonstruktion Diagrammatischen Schließens Beim Erlernen Der Subtraktion Negativer Zahlen.” <i>Zeichen Und Sprache Im Mathematikunterricht: Semiotik in Theorie Und Praxis</i>, edited by Gert Kadunz, Springer, 2020, pp. 85–112, doi:<a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">10.1007/978-3-662-61194-4_5</a>.","apa":"Schumacher, J., &#38; Rezat, S. (2020). Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. In G. 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>"},"page":"85–112","year":"2020","place":"Berlin, Heidelberg","publication_status":"published","publication_identifier":{"isbn":["9783662611937","9783662611944"]},"doi":"10.1007/978-3-662-61194-4_5","title":"Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen","date_created":"2023-05-09T13:47:49Z","author":[{"full_name":"Schumacher, Jan","last_name":"Schumacher","first_name":"Jan"},{"last_name":"Rezat","id":"31132","full_name":"Rezat, Sebastian","first_name":"Sebastian"}],"date_updated":"2024-04-18T08:18:10Z","publisher":"Springer","status":"public","editor":[{"full_name":"Kadunz, Gert","last_name":"Kadunz","first_name":"Gert"}],"type":"book_chapter","publication":"Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und Praxis","alternative_title":["Vergleich zweier methodischer Zugänge"],"language":[{"iso":"eng"}],"user_id":"31132","department":[{"_id":"360"}],"_id":"44685"},{"status":"public","editor":[{"first_name":"Dorothee","last_name":"Meister","full_name":"Meister, Dorothee"},{"full_name":"Ilka, Mindt","last_name":"Ilka","first_name":"Mindt"}],"type":"book_chapter","publication":"Mobile Medien im Schulkontext","language":[{"iso":"eng"}],"user_id":"31132","department":[{"_id":"360"}],"_id":"44688","citation":{"ama":"Rezat S. Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen Individualisierung und Kooperation. In: Meister D, Ilka M, eds. <i>Mobile Medien Im Schulkontext</i>. Springer; 2020. doi:<a href=\"https://doi.org/10.1007/978-3-658-29039-9_10\">10.1007/978-3-658-29039-9_10</a>","chicago":"Rezat, Sebastian. “Mathematiklernen Mit Digitalen Schulbüchern Im Spannungsfeld Zwischen Individualisierung Und Kooperation.” In <i>Mobile Medien Im Schulkontext</i>, edited by Dorothee Meister and Mindt Ilka. Wiesbaden: Springer, 2020. <a href=\"https://doi.org/10.1007/978-3-658-29039-9_10\">https://doi.org/10.1007/978-3-658-29039-9_10</a>.","ieee":"S. Rezat, “Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen Individualisierung und Kooperation,” in <i>Mobile Medien im Schulkontext</i>, D. Meister and M. Ilka, Eds. Wiesbaden: Springer, 2020.","apa":"Rezat, S. (2020). Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen Individualisierung und Kooperation. In D. Meister &#38; M. Ilka (Eds.), <i>Mobile Medien im Schulkontext</i>. Springer. <a href=\"https://doi.org/10.1007/978-3-658-29039-9_10\">https://doi.org/10.1007/978-3-658-29039-9_10</a>","short":"S. Rezat, in: D. Meister, M. Ilka (Eds.), Mobile Medien Im Schulkontext, Springer, Wiesbaden, 2020.","bibtex":"@inbook{Rezat_2020, place={Wiesbaden}, title={Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen Individualisierung und Kooperation}, DOI={<a href=\"https://doi.org/10.1007/978-3-658-29039-9_10\">10.1007/978-3-658-29039-9_10</a>}, booktitle={Mobile Medien im Schulkontext}, publisher={Springer}, author={Rezat, Sebastian}, editor={Meister, Dorothee and Ilka, Mindt}, year={2020} }","mla":"Rezat, Sebastian. “Mathematiklernen Mit Digitalen Schulbüchern Im Spannungsfeld Zwischen Individualisierung Und Kooperation.” <i>Mobile Medien Im Schulkontext</i>, edited by Dorothee Meister and Mindt Ilka, Springer, 2020, doi:<a href=\"https://doi.org/10.1007/978-3-658-29039-9_10\">10.1007/978-3-658-29039-9_10</a>."},"place":"Wiesbaden","year":"2020","publication_status":"published","publication_identifier":{"isbn":["9783658290382","9783658290399"],"issn":["2512-112X","2512-1146"]},"doi":"10.1007/978-3-658-29039-9_10","title":"Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen Individualisierung und Kooperation","author":[{"first_name":"Sebastian","last_name":"Rezat","full_name":"Rezat, Sebastian","id":"31132"}],"date_created":"2023-05-09T14:01:30Z","publisher":"Springer","date_updated":"2024-04-18T08:24:04Z"},{"year":"2020","citation":{"bibtex":"@article{Leuders_Wessel_2020, title={Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung.}, number={2}, journal={Pädagogik 2/2020}, publisher={Beltz Verlagsgruppe}, author={Leuders, Timo and Wessel, Lena}, year={2020}, pages={26–30} }","mla":"Leuders, Timo, and Lena Wessel. “Differenziertes Üben Gestalten. Zwischen Umsetzung in Der Praxis Und Fundierung in Der Forschung.” <i>Pädagogik 2/2020</i>, no. 2, Beltz Verlagsgruppe, 2020, pp. 26–30.","short":"T. Leuders, L. Wessel, Pädagogik 2/2020 (2020) 26–30.","apa":"Leuders, T., &#38; Wessel, L. (2020). Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung. <i>Pädagogik 2/2020</i>, <i>2</i>, 26–30.","ieee":"T. Leuders and L. Wessel, “Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung.,” <i>Pädagogik 2/2020</i>, no. 2, pp. 26–30, 2020.","chicago":"Leuders, Timo, and Lena Wessel. “Differenziertes Üben Gestalten. Zwischen Umsetzung in Der Praxis Und Fundierung in Der Forschung.” <i>Pädagogik 2/2020</i>, no. 2 (2020): 26–30.","ama":"Leuders T, Wessel L. Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung. <i>Pädagogik 2/2020</i>. 2020;(2):26-30."},"page":"26-30","publication_identifier":{"issn":["0933-422X"]},"issue":"2","title":"Differenziertes Üben gestalten. 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Kuzu, and Susanne Prediger. “Sprachbildender Vorstellungsaufbau Für Verschiedene Mathematische Konzepte: Brüche in Klasse 6.” <i>Sprachbildender Mathematikunterricht in Der Sekundarstufe - Ein Forschungsbasiertes Praxisbuch</i>, 2020, 148–151.","ieee":"L. Wessel, T. Kuzu, and S. Prediger, “Sprachbildender Vorstellungsaufbau für verschiedene mathematische Konzepte: Brüche in Klasse 6,” <i>Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch</i>, pp. 148–151, 2020.","ama":"Wessel L, Kuzu T, Prediger S. Sprachbildender Vorstellungsaufbau für verschiedene mathematische Konzepte: Brüche in Klasse 6. <i>Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch</i>. Published online 2020:148–151.","short":"L. Wessel, T. Kuzu, S. Prediger, Sprachbildender Mathematikunterricht in Der Sekundarstufe - Ein Forschungsbasiertes Praxisbuch (2020) 148–151.","mla":"Wessel, Lena, et al. “Sprachbildender Vorstellungsaufbau Für Verschiedene Mathematische Konzepte: Brüche in Klasse 6.” <i>Sprachbildender Mathematikunterricht in Der Sekundarstufe - Ein Forschungsbasiertes Praxisbuch</i>, 2020, pp. 148–151.","bibtex":"@article{Wessel_Kuzu_Prediger_2020, title={Sprachbildender Vorstellungsaufbau für verschiedene mathematische Konzepte: Brüche in Klasse 6}, journal={Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch}, author={Wessel, Lena and Kuzu, T. and Prediger, Susanne}, year={2020}, pages={148–151} }","apa":"Wessel, L., Kuzu, T., &#38; Prediger, S. (2020). Sprachbildender Vorstellungsaufbau für verschiedene mathematische Konzepte: Brüche in Klasse 6. <i>Sprachbildender Mathematikunterricht in Der Sekundarstufe - Ein Forschungsbasiertes Praxisbuch</i>, 148–151."},"year":"2020","title":"Sprachbildender Vorstellungsaufbau für verschiedene mathematische Konzepte: Brüche in Klasse 6","date_created":"2023-07-26T10:24:10Z","author":[{"last_name":"Wessel","id":"85190","full_name":"Wessel, Lena","first_name":"Lena"},{"first_name":"T.","full_name":"Kuzu, T.","last_name":"Kuzu"},{"first_name":"Susanne","full_name":"Prediger, Susanne","last_name":"Prediger"}],"date_updated":"2024-04-18T09:01:51Z"},{"citation":{"apa":"Sprütten, F., Wessel, L., Zentgraf, K., &#38; Prediger, S. (2020). Fach- und sprachintegrierte Ansätze für Neuzugewanderte. In S. Prediger (Ed.), <i>Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch</i> (pp. 115–130). Cornelsen Skriptor.","mla":"Sprütten, F., et al. “Fach- und sprachintegrierte Ansätze für Neuzugewanderte.” <i>Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch</i>, edited by S. Prediger, Cornelsen Skriptor, 2020, pp. 115–30.","short":"F. Sprütten, L. Wessel, K. Zentgraf, S. Prediger, in: S. Prediger (Ed.), Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch, Cornelsen Skriptor, Berlin, 2020, pp. 115–130.","bibtex":"@inbook{Sprütten_Wessel_Zentgraf_Prediger_2020, place={Berlin}, title={Fach- und sprachintegrierte Ansätze für Neuzugewanderte}, booktitle={Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch}, publisher={Cornelsen Skriptor}, author={Sprütten, F. and Wessel, Lena and Zentgraf, K. and Prediger, S.}, editor={Prediger, S.}, year={2020}, pages={115–130} }","ieee":"F. Sprütten, L. Wessel, K. Zentgraf, and S. Prediger, “Fach- und sprachintegrierte Ansätze für Neuzugewanderte,” in <i>Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch</i>, S. Prediger, Ed. Berlin: Cornelsen Skriptor, 2020, pp. 115–130.","chicago":"Sprütten, F., Lena Wessel, K. Zentgraf, and S. Prediger. “Fach- und sprachintegrierte Ansätze für Neuzugewanderte.” In <i>Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch</i>, edited by S. Prediger, 115–30. Berlin: Cornelsen Skriptor, 2020.","ama":"Sprütten F, Wessel L, Zentgraf K, Prediger S. Fach- und sprachintegrierte Ansätze für Neuzugewanderte. In: Prediger S, ed. <i>Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch</i>. Cornelsen Skriptor; 2020:115-130."},"page":"115-130","place":"Berlin","year":"2020","title":"Fach- und sprachintegrierte Ansätze für Neuzugewanderte","date_created":"2023-10-24T07:13:15Z","author":[{"full_name":"Sprütten, F.","last_name":"Sprütten","first_name":"F."},{"id":"85190","full_name":"Wessel, Lena","last_name":"Wessel","first_name":"Lena"},{"first_name":"K.","full_name":"Zentgraf, K.","last_name":"Zentgraf"},{"last_name":"Prediger","full_name":"Prediger, S.","first_name":"S."}],"date_updated":"2024-04-18T09:15:00Z","publisher":"Cornelsen Skriptor","status":"public","editor":[{"full_name":"Prediger, S.","last_name":"Prediger","first_name":"S."}],"type":"book_chapter","publication":"Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch","language":[{"iso":"other"}],"user_id":"37888","department":[{"_id":"643"}],"_id":"48405"},{"type":"book","status":"public","_id":"48406","user_id":"37888","department":[{"_id":"643"}],"language":[{"iso":"eng"}],"place":"Dortmund/Arnsberg","year":"2020","citation":{"ama":"Wessel L, Prediger S, Stein A, Wijers M, Jonker V. <i>Language for Mathematics in Vocational Contexts. Handbook for Teachers and Facilitators</i>. DZLM; 2020.","chicago":"Wessel, Lena, S. Prediger, A. Stein, M. Wijers, and V. Jonker. <i>Language for Mathematics in Vocational Contexts. Handbook for Teachers and Facilitators</i>. Dortmund/Arnsberg: DZLM, 2020.","ieee":"L. Wessel, S. Prediger, A. Stein, M. Wijers, and V. Jonker, <i>Language for Mathematics in Vocational Contexts. Handbook for teachers and facilitators</i>. Dortmund/Arnsberg: DZLM, 2020.","apa":"Wessel, L., Prediger, S., Stein, A., Wijers, M., &#38; Jonker, V. (2020). <i>Language for Mathematics in Vocational Contexts. Handbook for teachers and facilitators</i>. DZLM.","mla":"Wessel, Lena, et al. <i>Language for Mathematics in Vocational Contexts. Handbook for Teachers and Facilitators</i>. DZLM, 2020.","short":"L. Wessel, S. Prediger, A. Stein, M. Wijers, V. Jonker, Language for Mathematics in Vocational Contexts. Handbook for Teachers and Facilitators, DZLM, Dortmund/Arnsberg, 2020.","bibtex":"@book{Wessel_Prediger_Stein_Wijers_Jonker_2020, place={Dortmund/Arnsberg}, title={Language for Mathematics in Vocational Contexts. Handbook for teachers and facilitators}, publisher={DZLM}, author={Wessel, Lena and Prediger, S. and Stein, A. and Wijers, M. and Jonker, V.}, year={2020} }"},"publisher":"DZLM","date_updated":"2024-04-18T09:17:59Z","author":[{"full_name":"Wessel, Lena","id":"85190","last_name":"Wessel","first_name":"Lena"},{"last_name":"Prediger","full_name":"Prediger, S.","first_name":"S."},{"last_name":"Stein","full_name":"Stein, A.","first_name":"A."},{"first_name":"M.","full_name":"Wijers, M.","last_name":"Wijers"},{"first_name":"V.","last_name":"Jonker","full_name":"Jonker, V."}],"date_created":"2023-10-24T07:17:54Z","title":"Language for Mathematics in Vocational Contexts. 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Motivation of out-of-field teachers for participating in professional development courses in mathematics. <i>European Journal of Teacher Education</i>. 2020;44(5):688-705. doi:<a href=\"https://doi.org/10.1080/02619768.2020.1793950\">10.1080/02619768.2020.1793950</a>","ieee":"S. Lünne, S. Schnell, and R. Biehler, “Motivation of out-of-field teachers for participating in professional development courses in mathematics,” <i>European Journal of Teacher Education</i>, vol. 44, no. 5, pp. 688–705, 2020, doi: <a href=\"https://doi.org/10.1080/02619768.2020.1793950\">10.1080/02619768.2020.1793950</a>.","chicago":"Lünne, Steffen, Susanne Schnell, and Rolf Biehler. “Motivation of Out-of-Field Teachers for Participating in Professional Development Courses in Mathematics.” <i>European Journal of Teacher Education</i> 44, no. 5 (2020): 688–705. <a href=\"https://doi.org/10.1080/02619768.2020.1793950\">https://doi.org/10.1080/02619768.2020.1793950</a>.","apa":"Lünne, S., Schnell, S., &#38; Biehler, R. (2020). Motivation of out-of-field teachers for participating in professional development courses in mathematics. <i>European Journal of Teacher Education</i>, <i>44</i>(5), 688–705. <a href=\"https://doi.org/10.1080/02619768.2020.1793950\">https://doi.org/10.1080/02619768.2020.1793950</a>","mla":"Lünne, Steffen, et al. “Motivation of Out-of-Field Teachers for Participating in Professional Development Courses in Mathematics.” <i>European Journal of Teacher Education</i>, vol. 44, no. 5, Informa UK Limited, 2020, pp. 688–705, doi:<a href=\"https://doi.org/10.1080/02619768.2020.1793950\">10.1080/02619768.2020.1793950</a>.","bibtex":"@article{Lünne_Schnell_Biehler_2020, title={Motivation of out-of-field teachers for participating in professional development courses in mathematics}, volume={44}, DOI={<a href=\"https://doi.org/10.1080/02619768.2020.1793950\">10.1080/02619768.2020.1793950</a>}, number={5}, journal={European Journal of Teacher Education}, publisher={Informa UK Limited}, author={Lünne, Steffen and Schnell, Susanne and Biehler, Rolf}, year={2020}, pages={688–705} }","short":"S. Lünne, S. Schnell, R. Biehler, European Journal of Teacher Education 44 (2020) 688–705."},"year":"2020","issue":"5","publication_identifier":{"issn":["0261-9768","1469-5928"]},"publication_status":"published"},{"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"}]},"place":"London","year":"2020","citation":{"apa":"Barzel, B., &#38; Biehler, R. (2020). Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools. In S. Zehetmeier, D. Potari, &#38; M. Ribeiro (Eds.), <i>Professional development and knowledge of mathematics teachers</i> (pp. 163–192). Routledge.","bibtex":"@inbook{Barzel_Biehler_2020, place={London}, title={Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools}, booktitle={Professional development and knowledge of mathematics teachers}, publisher={Routledge}, author={Barzel, Bärbel and Biehler, Rolf}, editor={Zehetmeier, Stefan and Potari, Despina and Ribeiro, Miguel}, year={2020}, pages={163–192} }","mla":"Barzel, Bärbel, and Rolf Biehler. “Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools.” <i>Professional Development and Knowledge of Mathematics Teachers</i>, edited by Stefan Zehetmeier et al., Routledge, 2020, pp. 163–192.","short":"B. Barzel, R. Biehler, in: S. Zehetmeier, D. Potari, M. Ribeiro (Eds.), Professional Development and Knowledge of Mathematics Teachers, Routledge, London, 2020, pp. 163–192.","ama":"Barzel B, Biehler R. Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools. In: Zehetmeier S, Potari D, Ribeiro M, eds. <i>Professional Development and Knowledge of Mathematics Teachers</i>. Routledge; 2020:163–192.","ieee":"B. Barzel and R. Biehler, “Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools,” in <i>Professional development and knowledge of mathematics teachers</i>, S. Zehetmeier, D. Potari, and M. Ribeiro, Eds. London: Routledge, 2020, pp. 163–192.","chicago":"Barzel, Bärbel, and Rolf Biehler. “Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools.” In <i>Professional Development and Knowledge of Mathematics Teachers</i>, edited by Stefan Zehetmeier, Despina Potari, and Miguel Ribeiro, 163–192. London: Routledge, 2020."},"page":"163–192","publisher":"Routledge","date_updated":"2024-04-18T09:51:25Z","date_created":"2023-01-10T11:09:37Z","author":[{"first_name":"Bärbel","last_name":"Barzel","full_name":"Barzel, Bärbel"},{"last_name":"Biehler","id":"16274","full_name":"Biehler, Rolf","first_name":"Rolf"}],"title":"Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools","type":"book_chapter","publication":"Professional development and knowledge of mathematics teachers","editor":[{"first_name":"Stefan","last_name":"Zehetmeier","full_name":"Zehetmeier, Stefan"},{"first_name":"Despina","last_name":"Potari","full_name":"Potari, Despina"},{"first_name":"Miguel","full_name":"Ribeiro, Miguel","last_name":"Ribeiro"}],"status":"public","_id":"35808","user_id":"37888","department":[{"_id":"363"}],"language":[{"iso":"eng"}]},{"year":"2020","issue":"1","title":"Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics","publisher":"Springer Science and Business Media LLC","date_created":"2023-01-10T11:45:46Z","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"}],"publication":"Journal für Mathematik-Didaktik","keyword":["Education","General Mathematics"],"language":[{"iso":"eng"}],"intvolume":"        42","page":"273-305","citation":{"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>.","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>.","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>","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>"},"publication_identifier":{"issn":["0173-5322","1869-2699"]},"publication_status":"published","doi":"10.1007/s13138-020-00174-z","date_updated":"2024-04-18T09:53:18Z","volume":42,"author":[{"first_name":"Frank","last_name":"Feudel","full_name":"Feudel, Frank"},{"first_name":"Rolf","full_name":"Biehler, Rolf","id":"16274","last_name":"Biehler"}],"status":"public","type":"journal_article","_id":"35822","department":[{"_id":"363"}],"user_id":"37888"},{"volume":11,"author":[{"first_name":"Leander","last_name":"Kempen","full_name":"Kempen, Leander"},{"first_name":"Rolf","id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler"}],"date_created":"2023-01-10T09:13:13Z","publisher":"Frontiers Media SA","date_updated":"2024-04-18T09:57:09Z","doi":"10.3389/fpsyg.2020.01180","title":"Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology","publication_identifier":{"issn":["1664-1078"]},"publication_status":"published","intvolume":"        11","page":"1180","citation":{"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>.","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>.","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>","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.","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>"},"year":"2020","department":[{"_id":"363"}],"user_id":"37888","_id":"35709","language":[{"iso":"eng"}],"keyword":["General Psychology"],"publication":"Frontiers in Psychology","type":"journal_article","status":"public"},{"page":"489-492","citation":{"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>.","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.","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>","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>.","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.","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>"},"place":"Münster","year":"2020","author":[{"first_name":"Leander","last_name":"Kempen","full_name":"Kempen, Leander"},{"first_name":"Sandra","full_name":"Krämer, Sandra","last_name":"Krämer"},{"first_name":"Rolf","id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler"}],"date_created":"2023-01-10T11:53:40Z","publisher":"WTM-Verlag","date_updated":"2024-04-18T09:57:55Z","doi":"10.17877/DE290R-21418","title":"Was verstehen Schülerinnen und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie","publication":"Beiträge zum Mathematikunterricht 2020","type":"book_chapter","status":"public","editor":[{"first_name":"H.-S.","full_name":"Siller, H.-S.","last_name":"Siller"},{"last_name":"Weigel","full_name":"Weigel, W.","first_name":"W."},{"last_name":"Wörler","full_name":"Wörler, J. F.","first_name":"J. F."}],"department":[{"_id":"363"}],"user_id":"37888","_id":"35827","language":[{"iso":"ger"}]}]