[{"date_updated":"2022-05-22T15:58:33Z","publication_status":"published","intvolume":"        68","status":"public","title":"Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie","year":"2021","author":[{"id":"32202","full_name":"Hoffmann, Max","last_name":"Hoffmann","first_name":"Max"}],"doi":"10.1007/s00591-021-00299-3","user_id":"32202","volume":68,"page":"295–297","main_file_link":[{"open_access":"1","url":"https://link.springer.com/article/10.1007/s00591-021-00299-3"}],"_id":"31385","language":[{"iso":"ger"}],"publication":"Mathematische Semesterberichte","citation":{"apa":"Hoffmann, M. (2021). Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie. In <i>Mathematische Semesterberichte</i> (Vol. 68, pp. 295–297). <a href=\"https://doi.org/10.1007/s00591-021-00299-3\">https://doi.org/10.1007/s00591-021-00299-3</a>","ieee":"M. Hoffmann, “Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie,” <i>Mathematische Semesterberichte</i>, vol. 68. pp. 295–297, 2021, doi: <a href=\"https://doi.org/10.1007/s00591-021-00299-3\">10.1007/s00591-021-00299-3</a>.","short":"M. Hoffmann, Mathematische Semesterberichte 68 (2021) 295–297.","chicago":"Hoffmann, Max. “Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie.” <i>Mathematische Semesterberichte</i>, 2021. <a href=\"https://doi.org/10.1007/s00591-021-00299-3\">https://doi.org/10.1007/s00591-021-00299-3</a>.","mla":"Hoffmann, Max. “Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie.” <i>Mathematische Semesterberichte</i>, vol. 68, 2021, pp. 295–297, doi:<a href=\"https://doi.org/10.1007/s00591-021-00299-3\">10.1007/s00591-021-00299-3</a>.","ama":"Hoffmann M. Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie. <i>Mathematische Semesterberichte</i>. 2021;68:295–297. doi:<a href=\"https://doi.org/10.1007/s00591-021-00299-3\">10.1007/s00591-021-00299-3</a>","bibtex":"@article{Hoffmann_2021, title={Rezension: Hendrik Kasten und Denis Vogel: Grundlagen der ebenen Geometrie – Eine zugängliche aber exakte Einführung in die ebene Geometrie}, volume={68}, DOI={<a href=\"https://doi.org/10.1007/s00591-021-00299-3\">10.1007/s00591-021-00299-3</a>}, journal={Mathematische Semesterberichte}, author={Hoffmann, Max}, year={2021}, pages={295–297} }"},"type":"review","oa":"1","department":[{"_id":"97"}],"date_created":"2022-05-22T15:20:46Z"},{"year":"2021","title":"Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn","author":[{"first_name":"Max","last_name":"Hoffmann","full_name":"Hoffmann, Max","id":"32202"}],"publication_identifier":{"issn":["2197-8751","2197-876X"],"isbn":["9783662628539","9783662628546"]},"date_updated":"2022-05-24T13:18:09Z","publication_status":"published","main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/978-3-662-62854-6_9"}],"language":[{"iso":"ger"}],"doi":"10.1007/978-3-662-62854-6_9","publication":" Lehrinnovationen in der Hochschulmathematik.  praxisrelevant – didaktisch fundiert – forschungsbasiert","date_created":"2022-05-22T13:56:39Z","type":"book_chapter","department":[{"_id":"97"}],"status":"public","page":"179–204","publisher":"Springer Berlin Heidelberg","_id":"31364","user_id":"32202","editor":[{"full_name":"Biehler, Rolf","first_name":"Rolf","last_name":"Biehler"},{"first_name":"Andreas","last_name":"Eichler","full_name":"Eichler, Andreas"},{"full_name":"Hochmuth, Reinhard","last_name":"Hochmuth","first_name":"Reinhard"},{"full_name":"Rach, Stefanie","last_name":"Rach","first_name":"Stefanie"},{"last_name":"Schaper","first_name":"Niclas","full_name":"Schaper, Niclas"}],"citation":{"chicago":"Hoffmann, Max. “Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn.” In <i> Lehrinnovationen in der Hochschulmathematik.  praxisrelevant – didaktisch fundiert – forschungsbasiert</i>, edited by Rolf Biehler, Andreas Eichler, Reinhard Hochmuth, Stefanie Rach, and Niclas Schaper, 179–204. Berlin, Heidelberg: Springer Berlin Heidelberg, 2021. <a href=\"https://doi.org/10.1007/978-3-662-62854-6_9\">https://doi.org/10.1007/978-3-662-62854-6_9</a>.","short":"M. Hoffmann, in: R. Biehler, A. Eichler, R. Hochmuth, S. Rach, N. Schaper (Eds.),  Lehrinnovationen in der Hochschulmathematik.  praxisrelevant – didaktisch fundiert – forschungsbasiert, Springer Berlin Heidelberg, Berlin, Heidelberg, 2021, pp. 179–204.","apa":"Hoffmann, M. (2021). Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn. In R. Biehler, A. Eichler, R. Hochmuth, S. Rach, &#38; N. Schaper (Eds.), <i> Lehrinnovationen in der Hochschulmathematik.  praxisrelevant – didaktisch fundiert – forschungsbasiert</i> (pp. 179–204). Springer Berlin Heidelberg. <a href=\"https://doi.org/10.1007/978-3-662-62854-6_9\">https://doi.org/10.1007/978-3-662-62854-6_9</a>","ieee":"M. Hoffmann, “Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn,” in <i> Lehrinnovationen in der Hochschulmathematik.  praxisrelevant – didaktisch fundiert – forschungsbasiert</i>, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Berlin Heidelberg, 2021, pp. 179–204.","ama":"Hoffmann M. Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn. In: Biehler R, Eichler A, Hochmuth R, Rach S, Schaper N, eds. <i> Lehrinnovationen in der Hochschulmathematik.  praxisrelevant – didaktisch fundiert – forschungsbasiert</i>. Springer Berlin Heidelberg; 2021:179–204. doi:<a href=\"https://doi.org/10.1007/978-3-662-62854-6_9\">10.1007/978-3-662-62854-6_9</a>","bibtex":"@inbook{Hoffmann_2021, place={Berlin, Heidelberg}, title={Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn}, DOI={<a href=\"https://doi.org/10.1007/978-3-662-62854-6_9\">10.1007/978-3-662-62854-6_9</a>}, booktitle={ Lehrinnovationen in der Hochschulmathematik.  praxisrelevant – didaktisch fundiert – forschungsbasiert}, publisher={Springer Berlin Heidelberg}, author={Hoffmann, Max}, editor={Biehler, Rolf and Eichler, Andreas and Hochmuth, Reinhard and Rach, Stefanie and Schaper, Niclas}, year={2021}, pages={179–204} }","mla":"Hoffmann, Max. “Einsatz von Schnittstellenaufgaben in Mathematikveranstaltungen – Praxisbeispiele aus der Universität Paderborn.” <i> Lehrinnovationen in der Hochschulmathematik.  praxisrelevant – didaktisch fundiert – forschungsbasiert</i>, edited by Rolf Biehler et al., Springer Berlin Heidelberg, 2021, pp. 179–204, doi:<a href=\"https://doi.org/10.1007/978-3-662-62854-6_9\">10.1007/978-3-662-62854-6_9</a>."},"quality_controlled":"1","place":"Berlin, Heidelberg"},{"citation":{"bibtex":"@article{Küster_Weich_2021, title={Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces}, volume={2021}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>}, number={11}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Küster, Benjamin and Weich, Tobias}, year={2021}, pages={8225–8296} }","ama":"Küster B, Weich T. Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. <i>International Mathematics Research Notices</i>. 2021;2021(11):8225-8296. doi:<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>","short":"B. Küster, T. Weich, International Mathematics Research Notices 2021 (2021) 8225–8296.","chicago":"Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” <i>International Mathematics Research Notices</i> 2021, no. 11 (2021): 8225–96. <a href=\"https://doi.org/10.1093/imrn/rnz068\">https://doi.org/10.1093/imrn/rnz068</a>.","ieee":"B. Küster and T. Weich, “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces,” <i>International Mathematics Research Notices</i>, vol. 2021, no. 11, pp. 8225–8296, 2021, doi: <a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>.","mla":"Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” <i>International Mathematics Research Notices</i>, vol. 2021, no. 11, Oxford University Press (OUP), 2021, pp. 8225–96, doi:<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>.","apa":"Küster, B., &#38; Weich, T. (2021). Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. <i>International Mathematics Research Notices</i>, <i>2021</i>(11), 8225–8296. <a href=\"https://doi.org/10.1093/imrn/rnz068\">https://doi.org/10.1093/imrn/rnz068</a>"},"external_id":{"arxiv":["1710.04625"]},"status":"public","volume":2021,"user_id":"49178","_id":"31261","publisher":"Oxford University Press (OUP)","page":"8225-8296","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>For a compact Riemannian locally symmetric space $\\mathcal M$ of rank 1 and an associated vector bundle $\\mathbf V_{\\tau }$ over the unit cosphere bundle $S^{\\ast }\\mathcal M$, we give a precise description of those classical (Pollicott–Ruelle) resonant states on $\\mathbf V_{\\tau }$ that vanish under covariant derivatives in the Anosov-unstable directions of the chaotic geodesic flow on $S^{\\ast }\\mathcal M$. In particular, we show that they are isomorphically mapped by natural pushforwards into generalized common eigenspaces of the algebra of invariant differential operators $D(G,\\sigma )$ on compatible associated vector bundles $\\mathbf W_{\\sigma }$ over $\\mathcal M$. As a consequence of this description, we obtain an exact band structure of the Pollicott–Ruelle spectrum. Further, under some mild assumptions on the representations $\\tau$ and $\\sigma$ defining the bundles $\\mathbf V_{\\tau }$ and $\\mathbf W_{\\sigma }$, we obtain a very explicit description of the generalized common eigenspaces. This allows us to relate classical Pollicott–Ruelle resonances to quantum eigenvalues of a Laplacian in a suitable Hilbert space of sections of $\\mathbf W_{\\sigma }$. Our methods of proof are based on representation theory and Lie theory.</jats:p>","lang":"eng"}],"issue":"11","publication":"International Mathematics Research Notices","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"type":"journal_article","keyword":["General Mathematics"],"date_created":"2022-05-17T12:00:36Z","intvolume":"      2021","date_updated":"2022-05-25T06:42:01Z","publication_status":"published","publication_identifier":{"issn":["1073-7928","1687-0247"]},"author":[{"first_name":"Benjamin","last_name":"Küster","full_name":"Küster, Benjamin"},{"first_name":"Tobias","last_name":"Weich","full_name":"Weich, Tobias"}],"year":"2021","title":"Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces","doi":"10.1093/imrn/rnz068","language":[{"iso":"eng"}]},{"publication_status":"published","date_updated":"2022-06-02T08:04:19Z","author":[{"id":"60267","first_name":"Uta","last_name":"Häsel-Weide","full_name":"Häsel-Weide, Uta"},{"last_name":"Nührenbürger","first_name":"Marcus","full_name":"Nührenbürger, Marcus"}],"title":"Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen.","status":"public","year":"2021","user_id":"85821","_id":"31576","publisher":"Springer","language":[{"iso":"ger"}],"page":"49-65","related_material":{"link":[{"url":"https://link.springer.com/content/pdf/10.1007/s42278-020-00097-1.pdf","relation":"contains"}]},"citation":{"mla":"Häsel-Weide, Uta, and Marcus Nührenbürger. “Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen.” <i>Zeitschrift für Grundschulforschung (ZfG)</i>, no. 14, Springer, 2021, pp. 49–65.","ama":"Häsel-Weide U, Nührenbürger M. Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen. <i>Zeitschrift für Grundschulforschung (ZfG)</i>. 2021;(14):49-65.","bibtex":"@article{Häsel-Weide_Nührenbürger_2021, title={Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen.}, number={14}, journal={Zeitschrift für Grundschulforschung (ZfG)}, publisher={Springer}, author={Häsel-Weide, Uta and Nührenbürger, Marcus}, year={2021}, pages={49–65} }","apa":"Häsel-Weide, U., &#38; Nührenbürger, M. (2021). Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen. <i>Zeitschrift für Grundschulforschung (ZfG)</i>, <i>14</i>, 49–65.","ieee":"U. Häsel-Weide and M. Nührenbürger, “Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen.,” <i>Zeitschrift für Grundschulforschung (ZfG)</i>, no. 14, pp. 49–65, 2021.","chicago":"Häsel-Weide, Uta, and Marcus Nührenbürger. “Inklusive Praktiken im Mathematikunterricht. Empirische Analysen von Unterrichtsdiskursen in Einführungsphasen.” <i>Zeitschrift für Grundschulforschung (ZfG)</i>, no. 14 (2021): 49–65.","short":"U. Häsel-Weide, M. Nührenbürger, Zeitschrift für Grundschulforschung (ZfG) (2021) 49–65."},"publication":"Zeitschrift für Grundschulforschung (ZfG)","issue":"14","department":[{"_id":"98"},{"_id":"543"}],"type":"journal_article","date_created":"2022-06-02T08:04:02Z"},{"language":[{"iso":"ger"}],"_id":"31577","user_id":"85821","publication_identifier":{"issn":[" 2701-9012"]},"author":[{"full_name":"Häsel-Weide, Uta","first_name":"Uta","last_name":"Häsel-Weide","id":"60267"},{"last_name":"Schöttler","first_name":"Christian","full_name":"Schöttler, Christian"}],"year":"2021","status":"public","title":"Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen","date_updated":"2022-06-02T09:05:00Z","publication_status":"published","date_created":"2022-06-02T08:09:31Z","department":[{"_id":"98"},{"_id":"543"}],"type":"journal_article","citation":{"chicago":"Häsel-Weide, Uta, and Christian Schöttler. “Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen.” <i>Zeitschrift für Mathematikdidaktik in Forschung &#38; Praxis (ZMFP)</i>, no. 2 (2021).","short":"U. Häsel-Weide, C. Schöttler, Zeitschrift für Mathematikdidaktik in Forschung &#38; Praxis (ZMFP) (2021).","ieee":"U. Häsel-Weide and C. Schöttler, “Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen,” <i>Zeitschrift für Mathematikdidaktik in Forschung &#38; Praxis (ZMFP)</i>, no. 2, 2021.","apa":"Häsel-Weide, U., &#38; Schöttler, C. (2021). Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen. <i>Zeitschrift für Mathematikdidaktik in Forschung &#38; Praxis (ZMFP)</i>, <i>2</i>.","bibtex":"@article{Häsel-Weide_Schöttler_2021, title={Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen}, number={2}, journal={Zeitschrift für Mathematikdidaktik in Forschung &#38; Praxis (ZMFP)}, author={Häsel-Weide, Uta and Schöttler, Christian}, year={2021} }","ama":"Häsel-Weide U, Schöttler C. Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen. <i>Zeitschrift für Mathematikdidaktik in Forschung &#38; Praxis (ZMFP)</i>. 2021;(2).","mla":"Häsel-Weide, Uta, and Christian Schöttler. “Das Dezimalsystem verstehen – Bedeutung, Erkenntnisse, Anregungen.” <i>Zeitschrift für Mathematikdidaktik in Forschung &#38; Praxis (ZMFP)</i>, no. 2, 2021."},"publication":"Zeitschrift für Mathematikdidaktik in Forschung & Praxis (ZMFP)","issue":"2","related_material":{"link":[{"relation":"contains","url":"https://zmfp.de/fileadmin/user_upload/veroeffentlichungen/ZMFP_2021_Ha__sel-Weide_Scho__ttler_Dezimalsystem_ISSN.pdf"}]}},{"publication":"European Journal of Combinatorics","date_created":"2022-08-15T09:35:02Z","keyword":["Discrete Mathematics and Combinatorics"],"type":"journal_article","department":[{"_id":"542"}],"year":"2021","title":"On 3-flow-critical graphs","publication_identifier":{"issn":["0195-6698"]},"author":[{"full_name":"Li, Jiaao","first_name":"Jiaao","last_name":"Li"},{"last_name":"Ma","first_name":"Yulai","full_name":"Ma, Yulai","id":"92748"},{"first_name":"Yongtang","last_name":"Shi","full_name":"Shi, Yongtang"},{"first_name":"Weifan","last_name":"Wang","full_name":"Wang, Weifan"},{"full_name":"Wu, Yezhou","first_name":"Yezhou","last_name":"Wu"}],"date_updated":"2022-08-15T09:35:32Z","publication_status":"published","intvolume":"       100","article_number":"103451","language":[{"iso":"eng"}],"doi":"10.1016/j.ejc.2021.103451","citation":{"bibtex":"@article{Li_Ma_Shi_Wang_Wu_2021, title={On 3-flow-critical graphs}, volume={100}, DOI={<a href=\"https://doi.org/10.1016/j.ejc.2021.103451\">10.1016/j.ejc.2021.103451</a>}, number={103451}, journal={European Journal of Combinatorics}, publisher={Elsevier BV}, author={Li, Jiaao and Ma, Yulai and Shi, Yongtang and Wang, Weifan and Wu, Yezhou}, year={2021} }","ama":"Li J, Ma Y, Shi Y, Wang W, Wu Y. On 3-flow-critical graphs. <i>European Journal of Combinatorics</i>. 2021;100. doi:<a href=\"https://doi.org/10.1016/j.ejc.2021.103451\">10.1016/j.ejc.2021.103451</a>","mla":"Li, Jiaao, et al. “On 3-Flow-Critical Graphs.” <i>European Journal of Combinatorics</i>, vol. 100, 103451, Elsevier BV, 2021, doi:<a href=\"https://doi.org/10.1016/j.ejc.2021.103451\">10.1016/j.ejc.2021.103451</a>.","short":"J. Li, Y. Ma, Y. Shi, W. Wang, Y. Wu, European Journal of Combinatorics 100 (2021).","chicago":"Li, Jiaao, Yulai Ma, Yongtang Shi, Weifan Wang, and Yezhou Wu. “On 3-Flow-Critical Graphs.” <i>European Journal of Combinatorics</i> 100 (2021). <a href=\"https://doi.org/10.1016/j.ejc.2021.103451\">https://doi.org/10.1016/j.ejc.2021.103451</a>.","ieee":"J. Li, Y. Ma, Y. Shi, W. Wang, and Y. Wu, “On 3-flow-critical graphs,” <i>European Journal of Combinatorics</i>, vol. 100, Art. no. 103451, 2021, doi: <a href=\"https://doi.org/10.1016/j.ejc.2021.103451\">10.1016/j.ejc.2021.103451</a>.","apa":"Li, J., Ma, Y., Shi, Y., Wang, W., &#38; Wu, Y. (2021). On 3-flow-critical graphs. <i>European Journal of Combinatorics</i>, <i>100</i>, Article 103451. <a href=\"https://doi.org/10.1016/j.ejc.2021.103451\">https://doi.org/10.1016/j.ejc.2021.103451</a>"},"status":"public","publisher":"Elsevier BV","_id":"32810","user_id":"15540","volume":100},{"citation":{"mla":"Kolb, Martin, et al. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” <i>Annales Henri Poincaré </i>, vol. 23, no. 4, Springer Science + Business Media, 2021, pp. 1283–96.","ama":"Kolb M, Weich T, Wolf L. Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. <i>Annales Henri Poincaré </i>. 2021;23(4):1283-1296.","bibtex":"@article{Kolb_Weich_Wolf_2021, title={Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature}, volume={23}, number={4}, journal={Annales Henri Poincaré }, publisher={Springer Science + Business Media}, author={Kolb, Martin and Weich, Tobias and Wolf, Lasse}, year={2021}, pages={1283–1296} }","apa":"Kolb, M., Weich, T., &#38; Wolf, L. (2021). Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature. <i>Annales Henri Poincaré </i>, <i>23</i>(4), 1283–1296.","ieee":"M. Kolb, T. Weich, and L. Wolf, “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature,” <i>Annales Henri Poincaré </i>, vol. 23, no. 4, pp. 1283–1296, 2021.","short":"M. Kolb, T. Weich, L. Wolf, Annales Henri Poincaré  23 (2021) 1283–1296.","chicago":"Kolb, Martin, Tobias Weich, and Lasse Wolf. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature.” <i>Annales Henri Poincaré </i> 23, no. 4 (2021): 1283–96."},"oa":"1","status":"public","_id":"33278","publisher":"Springer Science + Business Media","page":"1283-1296","volume":23,"user_id":"85821","issue":"4","publication":"Annales Henri Poincaré ","abstract":[{"lang":"eng","text":"The kinetic Brownian motion on the sphere bundle of a Riemannian manifold M is a stochastic process that models a random perturbation of the geodesic flow. If M is an orientable compact constantly curved surface, we show that in the limit of infinitely large perturbation the L2-spectrum of the infinitesimal generator of a time-rescaled version of the process converges to the Laplace spectrum of the base manifold."}],"related_material":{"link":[{"relation":"contains","url":"https://link.springer.com/article/10.1007/s00023-021-01121-5"}]},"date_created":"2022-09-07T07:05:33Z","department":[{"_id":"96"}],"type":"journal_article","author":[{"full_name":"Kolb, Martin","first_name":"Martin","last_name":"Kolb","id":"48880"},{"full_name":"Weich, Tobias","last_name":"Weich","first_name":"Tobias"},{"first_name":"Lasse","last_name":"Wolf","full_name":"Wolf, Lasse"}],"year":"2021","title":"Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature","intvolume":"        23","date_updated":"2022-09-08T06:06:13Z","publication_status":"published","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://link.springer.com/article/10.1007/s00023-021-01121-5","open_access":"1"}]},{"abstract":[{"text":"While 2D Gibbsian particle systems might exhibit orientational order resulting in a lattice-like structure, these particle systems do not exhibit positional order if the interaction between particles satisfies some weak assumptions. Here we investigate to which extent particles within a box of size may fluctuate from their ideal lattice position. We show that particles near the center of the box typically show a displacement at least of order . Thus we extend recent results on the hard disk model to particle systems with fairly arbitrary particle spins and interaction. Our result applies to models such as rather general continuum Potts type models, e.g. with Widom–Rowlinson or Lenard-Jones-type interaction.","lang":"eng"}],"publication":"Stochastic Processes and their Applications","citation":{"mla":"Richthammer, Thomas, and Michael Fiedler. “A Lower Bound on the Displacement of Particles in 2D Gibbsian Particle Systems.” <i>Stochastic Processes and Their Applications</i>, vol. 132, Elsevier, 2021, pp. 1–32, doi:<a href=\"https://doi.org/10.1016/j.spa.2020.10.003\">https://doi.org/10.1016/j.spa.2020.10.003</a>.","ama":"Richthammer T, Fiedler M. A lower bound on the displacement of particles in 2D Gibbsian particle systems. <i>Stochastic Processes and their Applications</i>. 2021;132:1-32. doi:<a href=\"https://doi.org/10.1016/j.spa.2020.10.003\">https://doi.org/10.1016/j.spa.2020.10.003</a>","bibtex":"@article{Richthammer_Fiedler_2021, title={A lower bound on the displacement of particles in 2D Gibbsian particle systems}, volume={132}, DOI={<a href=\"https://doi.org/10.1016/j.spa.2020.10.003\">https://doi.org/10.1016/j.spa.2020.10.003</a>}, journal={Stochastic Processes and their Applications}, publisher={Elsevier}, author={Richthammer, Thomas and Fiedler, Michael}, year={2021}, pages={1–32} }","apa":"Richthammer, T., &#38; Fiedler, M. (2021). A lower bound on the displacement of particles in 2D Gibbsian particle systems. <i>Stochastic Processes and Their Applications</i>, <i>132</i>, 1–32. <a href=\"https://doi.org/10.1016/j.spa.2020.10.003\">https://doi.org/10.1016/j.spa.2020.10.003</a>","ieee":"T. Richthammer and M. Fiedler, “A lower bound on the displacement of particles in 2D Gibbsian particle systems,” <i>Stochastic Processes and their Applications</i>, vol. 132, pp. 1–32, 2021, doi: <a href=\"https://doi.org/10.1016/j.spa.2020.10.003\">https://doi.org/10.1016/j.spa.2020.10.003</a>.","chicago":"Richthammer, Thomas, and Michael Fiedler. “A Lower Bound on the Displacement of Particles in 2D Gibbsian Particle Systems.” <i>Stochastic Processes and Their Applications</i> 132 (2021): 1–32. <a href=\"https://doi.org/10.1016/j.spa.2020.10.003\">https://doi.org/10.1016/j.spa.2020.10.003</a>.","short":"T. Richthammer, M. Fiedler, Stochastic Processes and Their Applications 132 (2021) 1–32."},"type":"journal_article","department":[{"_id":"96"}],"date_created":"2022-09-26T06:53:59Z","date_updated":"2022-09-26T06:54:06Z","publication_status":"published","intvolume":"       132","status":"public","title":"A lower bound on the displacement of particles in 2D Gibbsian particle systems","year":"2021","author":[{"first_name":"Thomas","last_name":"Richthammer","full_name":"Richthammer, Thomas","id":"62054"},{"full_name":"Fiedler, Michael","last_name":"Fiedler","first_name":"Michael"}],"doi":"https://doi.org/10.1016/j.spa.2020.10.003","user_id":"85821","volume":132,"page":"1-32","_id":"33481","publisher":"Elsevier","language":[{"iso":"eng"}]},{"status":"public","volume":74,"user_id":"30905","publisher":"Elsevier BV","_id":"34818","citation":{"chicago":"Hanusch, Maximilian. “Symmetries of Analytic Curves.” <i>Differential Geometry and Its Applications</i> 74 (2021). <a href=\"https://doi.org/10.1016/j.difgeo.2020.101687\">https://doi.org/10.1016/j.difgeo.2020.101687</a>.","short":"M. Hanusch, Differential Geometry and Its Applications 74 (2021).","ieee":"M. Hanusch, “Symmetries of analytic curves,” <i>Differential Geometry and its Applications</i>, vol. 74, Art. no. 101687, 2021, doi: <a href=\"https://doi.org/10.1016/j.difgeo.2020.101687\">10.1016/j.difgeo.2020.101687</a>.","apa":"Hanusch, M. (2021). Symmetries of analytic curves. <i>Differential Geometry and Its Applications</i>, <i>74</i>, Article 101687. <a href=\"https://doi.org/10.1016/j.difgeo.2020.101687\">https://doi.org/10.1016/j.difgeo.2020.101687</a>","bibtex":"@article{Hanusch_2021, title={Symmetries of analytic curves}, volume={74}, DOI={<a href=\"https://doi.org/10.1016/j.difgeo.2020.101687\">10.1016/j.difgeo.2020.101687</a>}, number={101687}, journal={Differential Geometry and its Applications}, publisher={Elsevier BV}, author={Hanusch, Maximilian}, year={2021} }","ama":"Hanusch M. Symmetries of analytic curves. <i>Differential Geometry and its Applications</i>. 2021;74. doi:<a href=\"https://doi.org/10.1016/j.difgeo.2020.101687\">10.1016/j.difgeo.2020.101687</a>","mla":"Hanusch, Maximilian. “Symmetries of Analytic Curves.” <i>Differential Geometry and Its Applications</i>, vol. 74, 101687, Elsevier BV, 2021, doi:<a href=\"https://doi.org/10.1016/j.difgeo.2020.101687\">10.1016/j.difgeo.2020.101687</a>."},"article_type":"original","intvolume":"        74","publication_status":"published","date_updated":"2023-01-09T18:07:26Z","author":[{"id":"30905","first_name":"Maximilian","last_name":"Hanusch","full_name":"Hanusch, Maximilian"}],"publication_identifier":{"issn":["0926-2245"]},"title":"Symmetries of analytic curves","year":"2021","doi":"10.1016/j.difgeo.2020.101687","language":[{"iso":"eng"}],"article_number":"101687","extern":"1","publication":"Differential Geometry and its Applications","department":[{"_id":"93"}],"keyword":["Geometry and Topology","Analysis"],"type":"journal_article","date_created":"2022-12-22T09:20:30Z"},{"publication_identifier":{"isbn":["9783662628539","9783662628546"],"issn":["2197-8751","2197-876X"]},"author":[{"full_name":"Frischemeier, Daniel","first_name":"Daniel","last_name":"Frischemeier"},{"first_name":"Susanne","last_name":"Podworny","full_name":"Podworny, Susanne"},{"last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf","id":"16274"}],"title":"Integration fachwissenschaftlicher und fachdidaktischer Komponenten in der Lehramtsausbildung Mathematik Grundschule am Beispiel einer Veranstaltung zur Leitidee „Daten, Häufigkeit und Wahrscheinlichkeit“","status":"public","year":"2021","date_updated":"2023-01-11T10:10:08Z","publication_status":"published","_id":"35752","publisher":"Springer Spektrum","language":[{"iso":"ger"}],"page":"227-249","editor":[{"full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"},{"full_name":"Eichler, Andreas","first_name":"Andreas","last_name":"Eichler"},{"full_name":"Hochmuth, Reinhard","last_name":"Hochmuth","first_name":"Reinhard"},{"last_name":"Rach","first_name":"Stefanie","full_name":"Rach, Stefanie"},{"full_name":"Schaper, Niclas","first_name":"Niclas","last_name":"Schaper"}],"doi":"10.1007/978-3-662-62854-6_11","user_id":"37888","citation":{"apa":"Frischemeier, D., Podworny, S., &#38; Biehler, R. (2021). Integration fachwissenschaftlicher und fachdidaktischer Komponenten in der Lehramtsausbildung Mathematik Grundschule am Beispiel einer Veranstaltung zur Leitidee „Daten, Häufigkeit und Wahrscheinlichkeit“. In R. Biehler, A. Eichler, R. Hochmuth, S. Rach, &#38; N. Schaper (Eds.), <i>Konzepte und Studien Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematikzur Hochschuldidaktik und Lehrerbildung Mathematik</i> (pp. 227–249). Springer Spektrum. <a href=\"https://doi.org/10.1007/978-3-662-62854-6_11\">https://doi.org/10.1007/978-3-662-62854-6_11</a>","ieee":"D. Frischemeier, S. Podworny, and R. Biehler, “Integration fachwissenschaftlicher und fachdidaktischer Komponenten in der Lehramtsausbildung Mathematik Grundschule am Beispiel einer Veranstaltung zur Leitidee „Daten, Häufigkeit und Wahrscheinlichkeit“,” in <i>Konzepte und Studien Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematikzur Hochschuldidaktik und Lehrerbildung Mathematik</i>, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 227–249.","short":"D. Frischemeier, S. Podworny, R. Biehler, in: R. Biehler, A. Eichler, R. Hochmuth, S. Rach, N. Schaper (Eds.), Konzepte und Studien Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematikzur Hochschuldidaktik und Lehrerbildung Mathematik, Springer Spektrum, Berlin, Heidelberg, 2021, pp. 227–249.","chicago":"Frischemeier, Daniel, Susanne Podworny, and Rolf Biehler. “Integration fachwissenschaftlicher und fachdidaktischer Komponenten in der Lehramtsausbildung Mathematik Grundschule am Beispiel einer Veranstaltung zur Leitidee „Daten, Häufigkeit und Wahrscheinlichkeit“.” In <i>Konzepte und Studien Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematikzur Hochschuldidaktik und Lehrerbildung Mathematik</i>, edited by Rolf Biehler, Andreas Eichler, Reinhard Hochmuth, Stefanie Rach, and Niclas Schaper, 227–49. Berlin, Heidelberg: Springer Spektrum, 2021. <a href=\"https://doi.org/10.1007/978-3-662-62854-6_11\">https://doi.org/10.1007/978-3-662-62854-6_11</a>.","mla":"Frischemeier, Daniel, et al. “Integration fachwissenschaftlicher und fachdidaktischer Komponenten in der Lehramtsausbildung Mathematik Grundschule am Beispiel einer Veranstaltung zur Leitidee „Daten, Häufigkeit und Wahrscheinlichkeit“.” <i>Konzepte und Studien Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematikzur Hochschuldidaktik und Lehrerbildung Mathematik</i>, edited by Rolf Biehler et al., Springer Spektrum, 2021, pp. 227–49, doi:<a href=\"https://doi.org/10.1007/978-3-662-62854-6_11\">10.1007/978-3-662-62854-6_11</a>.","ama":"Frischemeier D, Podworny S, Biehler R. Integration fachwissenschaftlicher und fachdidaktischer Komponenten in der Lehramtsausbildung Mathematik Grundschule am Beispiel einer Veranstaltung zur Leitidee „Daten, Häufigkeit und Wahrscheinlichkeit“. In: Biehler R, Eichler A, Hochmuth R, Rach S, Schaper N, eds. <i>Konzepte und Studien Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematikzur Hochschuldidaktik und Lehrerbildung Mathematik</i>. Springer Spektrum; 2021:227-249. doi:<a href=\"https://doi.org/10.1007/978-3-662-62854-6_11\">10.1007/978-3-662-62854-6_11</a>","bibtex":"@inbook{Frischemeier_Podworny_Biehler_2021, place={Berlin, Heidelberg}, title={Integration fachwissenschaftlicher und fachdidaktischer Komponenten in der Lehramtsausbildung Mathematik Grundschule am Beispiel einer Veranstaltung zur Leitidee „Daten, Häufigkeit und Wahrscheinlichkeit“}, DOI={<a href=\"https://doi.org/10.1007/978-3-662-62854-6_11\">10.1007/978-3-662-62854-6_11</a>}, booktitle={Konzepte und Studien Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematikzur Hochschuldidaktik und Lehrerbildung Mathematik}, publisher={Springer Spektrum}, author={Frischemeier, Daniel and Podworny, Susanne and Biehler, Rolf}, editor={Biehler, Rolf and Eichler, Andreas and Hochmuth, Reinhard and Rach, Stefanie and Schaper, Niclas}, year={2021}, pages={227–249} }"},"publication":"Konzepte und Studien Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematikzur Hochschuldidaktik und Lehrerbildung Mathematik","place":"Berlin, Heidelberg","date_created":"2023-01-10T10:19:01Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"}],"type":"book_chapter"},{"_id":"45381","language":[{"iso":"eng"}],"user_id":"85820","doi":"doi.org/10.29333/iejme/9674n ","author":[{"id":"85820","full_name":"Dröse, Jennifer","last_name":"Dröse","first_name":"Jennifer"},{"last_name":"Prediger","first_name":"S.","full_name":"Prediger, S."},{"full_name":"Neugebauer, P.","first_name":"P.","last_name":"Neugebauer"},{"last_name":"Danhier","first_name":"R. D.","full_name":"Danhier, R. D."},{"last_name":"Mertins","first_name":"B.","full_name":"Mertins, B."}],"year":"2021","status":"public","title":"Investigating students' processes of noticing and interpreting syntactic language features in word problem solving through eye-tracking","date_updated":"2023-11-02T08:07:15Z","date_created":"2023-05-31T07:08:04Z","department":[{"_id":"98"}],"type":"journal_article","citation":{"bibtex":"@article{Dröse_Prediger_Neugebauer_Danhier_Mertins_2021, title={Investigating students’ processes of noticing and interpreting syntactic language features in word problem solving through eye-tracking}, DOI={<a href=\"https://doi.org/doi.org/10.29333/iejme/9674n \">doi.org/10.29333/iejme/9674n </a>}, journal={International Electronic Journal of Mathematics Education, 16(1), em0625}, author={Dröse, Jennifer and Prediger, S. and Neugebauer, P. and Danhier, R. D. and Mertins, B.}, year={2021} }","chicago":"Dröse, Jennifer, S. Prediger, P. Neugebauer, R. D. Danhier, and B. Mertins. “Investigating Students’ Processes of Noticing and Interpreting Syntactic Language Features in Word Problem Solving through Eye-Tracking.” <i>International Electronic Journal of Mathematics Education, 16(1), Em0625</i>, 2021. <a href=\"https://doi.org/doi.org/10.29333/iejme/9674n \">https://doi.org/doi.org/10.29333/iejme/9674n </a>.","ama":"Dröse J, Prediger S, Neugebauer P, Danhier RD, Mertins B. Investigating students’ processes of noticing and interpreting syntactic language features in word problem solving through eye-tracking. <i>International Electronic Journal of Mathematics Education, 16(1), em0625</i>. Published online 2021. doi:<a href=\"https://doi.org/doi.org/10.29333/iejme/9674n \">doi.org/10.29333/iejme/9674n </a>","short":"J. Dröse, S. Prediger, P. Neugebauer, R.D. Danhier, B. Mertins, International Electronic Journal of Mathematics Education, 16(1), Em0625 (2021).","ieee":"J. Dröse, S. Prediger, P. Neugebauer, R. D. Danhier, and B. Mertins, “Investigating students’ processes of noticing and interpreting syntactic language features in word problem solving through eye-tracking,” <i>International Electronic Journal of Mathematics Education, 16(1), em0625</i>, 2021, doi: <a href=\"https://doi.org/doi.org/10.29333/iejme/9674n \">doi.org/10.29333/iejme/9674n </a>.","apa":"Dröse, J., Prediger, S., Neugebauer, P., Danhier, R. D., &#38; Mertins, B. (2021). Investigating students’ processes of noticing and interpreting syntactic language features in word problem solving through eye-tracking. <i>International Electronic Journal of Mathematics Education, 16(1), Em0625</i>. <a href=\"https://doi.org/doi.org/10.29333/iejme/9674n \">https://doi.org/doi.org/10.29333/iejme/9674n </a>","mla":"Dröse, Jennifer, et al. “Investigating Students’ Processes of Noticing and Interpreting Syntactic Language Features in Word Problem Solving through Eye-Tracking.” <i>International Electronic Journal of Mathematics Education, 16(1), Em0625</i>, 2021, doi:<a href=\"https://doi.org/doi.org/10.29333/iejme/9674n \">doi.org/10.29333/iejme/9674n </a>."},"publication":"International Electronic Journal of Mathematics Education, 16(1), em0625","quality_controlled":"1"},{"date_updated":"2023-11-02T08:08:35Z","status":"public","title":"Identifying obstacles is not enough for everybody – Differential efficacy of an intervention fostering fifth graders’ comprehension for word problems","year":"2021","author":[{"id":"85820","full_name":"Dröse, Jennifer","first_name":"Jennifer","last_name":"Dröse"},{"full_name":"Prediger, S.","first_name":"S.","last_name":"Prediger"}],"user_id":"85820","doi":"doi.org/10.1016/j.stueduc.2020.100953","page":"1-15","_id":"45380","language":[{"iso":"eng"}],"quality_controlled":"1","publication":"Studies in Educational Evaluation, 68 (100953)","citation":{"ama":"Dröse J, Prediger S. Identifying obstacles is not enough for everybody – Differential efficacy of an intervention fostering fifth graders’ comprehension for word problems. <i>Studies in Educational Evaluation, 68 (100953)</i>. Published online 2021:1-15. doi:<a href=\"https://doi.org/doi.org/10.1016/j.stueduc.2020.100953\">doi.org/10.1016/j.stueduc.2020.100953</a>","bibtex":"@article{Dröse_Prediger_2021, title={Identifying obstacles is not enough for everybody – Differential efficacy of an intervention fostering fifth graders’ comprehension for word problems}, DOI={<a href=\"https://doi.org/doi.org/10.1016/j.stueduc.2020.100953\">doi.org/10.1016/j.stueduc.2020.100953</a>}, journal={Studies in Educational Evaluation, 68 (100953)}, author={Dröse, Jennifer and Prediger, S.}, year={2021}, pages={1–15} }","mla":"Dröse, Jennifer, and S. Prediger. “Identifying Obstacles Is Not Enough for Everybody – Differential Efficacy of an Intervention Fostering Fifth Graders’ Comprehension for Word Problems.” <i>Studies in Educational Evaluation, 68 (100953)</i>, 2021, pp. 1–15, doi:<a href=\"https://doi.org/doi.org/10.1016/j.stueduc.2020.100953\">doi.org/10.1016/j.stueduc.2020.100953</a>.","chicago":"Dröse, Jennifer, and S. Prediger. “Identifying Obstacles Is Not Enough for Everybody – Differential Efficacy of an Intervention Fostering Fifth Graders’ Comprehension for Word Problems.” <i>Studies in Educational Evaluation, 68 (100953)</i>, 2021, 1–15. <a href=\"https://doi.org/doi.org/10.1016/j.stueduc.2020.100953\">https://doi.org/doi.org/10.1016/j.stueduc.2020.100953</a>.","short":"J. Dröse, S. Prediger, Studies in Educational Evaluation, 68 (100953) (2021) 1–15.","apa":"Dröse, J., &#38; Prediger, S. (2021). Identifying obstacles is not enough for everybody – Differential efficacy of an intervention fostering fifth graders’ comprehension for word problems. <i>Studies in Educational Evaluation, 68 (100953)</i>, 1–15. <a href=\"https://doi.org/doi.org/10.1016/j.stueduc.2020.100953\">https://doi.org/doi.org/10.1016/j.stueduc.2020.100953</a>","ieee":"J. Dröse and S. 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Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe. <i>QfI - Qualifizierung für Inklusion Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte</i>. 2021;3(1). doi:<a href=\"https://doi.org/10.21248/qfi.57\">10.21248/qfi.57</a>","bibtex":"@article{Häsel-Weide_Seitz_Wallner_Wilke_Heckmann_2021, title={Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe}, volume={3}, DOI={<a href=\"https://doi.org/10.21248/qfi.57\">10.21248/qfi.57</a>}, number={1}, journal={QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte}, author={Häsel-Weide, Uta and Seitz, Simone and Wallner, Melina and Wilke, Yannik and Heckmann, Lara}, year={2021} }","apa":"Häsel-Weide, U., Seitz, S., Wallner, M., Wilke, Y., &#38; Heckmann, L. (2021). Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe. <i>QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte</i>, <i>3</i>(1). <a href=\"https://doi.org/10.21248/qfi.57\">https://doi.org/10.21248/qfi.57</a>","ieee":"U. Häsel-Weide, S. Seitz, M. Wallner, Y. Wilke, and L. Heckmann, “Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe,” <i>QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte</i>, vol. 3, no. 1, 2021, doi: <a href=\"https://doi.org/10.21248/qfi.57\">10.21248/qfi.57</a>.","short":"U. Häsel-Weide, S. Seitz, M. Wallner, Y. Wilke, L. Heckmann, QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte 3 (2021).","chicago":"Häsel-Weide, Uta, Simone Seitz, Melina Wallner, Yannik Wilke, and Lara Heckmann. “Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe.” <i>QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte</i> 3, no. 1 (2021). <a href=\"https://doi.org/10.21248/qfi.57\">https://doi.org/10.21248/qfi.57</a>."}},{"citation":{"mla":"Hattermann, Mathias, et al. “Conceptualiziation Processes of 6th Graders for Rotational Symmetry.” <i>Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education </i>, edited by M. Inprasitha et al., vol. 3, 2021, pp. 9–15.","ama":"Hattermann M, Häsel-Weide U, Wallner M. Conceptualiziation processes of 6th graders for rotational symmetry. In: Inprasitha M, Changsri N, Boonsena N, eds. <i>Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education </i>. Vol 3. ; 2021:9-15.","bibtex":"@inproceedings{Hattermann_Häsel-Weide_Wallner_2021, title={Conceptualiziation processes of 6th graders for rotational symmetry}, volume={3}, booktitle={Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education }, author={Hattermann, Mathias and Häsel-Weide, Uta and Wallner, Melina}, editor={Inprasitha, M. and Changsri, N. and Boonsena, N.}, year={2021}, pages={9–15} }","apa":"Hattermann, M., Häsel-Weide, U., &#38; Wallner, M. (2021). Conceptualiziation processes of 6th graders for rotational symmetry. In M. Inprasitha, N. Changsri, &#38; N. Boonsena (Eds.), <i>Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education </i> (Vol. 3, pp. 9–15).","ieee":"M. Hattermann, U. Häsel-Weide, and M. Wallner, “Conceptualiziation processes of 6th graders for rotational symmetry,” in <i>Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education </i>, 2021, vol. 3, pp. 9–15.","chicago":"Hattermann, Mathias, Uta Häsel-Weide, and Melina Wallner. “Conceptualiziation Processes of 6th Graders for Rotational Symmetry.” In <i>Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education </i>, edited by M. Inprasitha, N. Changsri, and N. Boonsena, 3:9–15, 2021.","short":"M. Hattermann, U. Häsel-Weide, M. Wallner, in: M. Inprasitha, N. Changsri, N. Boonsena (Eds.), Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education , 2021, pp. 9–15."},"publication":"Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education ","related_material":{"link":[{"relation":"confirmation","url":"https://www.igpme.org/publications/current-proceedings/"}]},"date_created":"2022-06-02T09:45:14Z","department":[{"_id":"98"},{"_id":"543"}],"type":"conference","author":[{"first_name":"Mathias","last_name":"Hattermann","full_name":"Hattermann, Mathias"},{"id":"60267","first_name":"Uta","last_name":"Häsel-Weide","full_name":"Häsel-Weide, Uta"},{"id":"45445","first_name":"Melina","last_name":"Wallner","full_name":"Wallner, Melina"}],"title":"Conceptualiziation processes of 6th graders for rotational symmetry","status":"public","year":"2021","intvolume":"         3","publication_status":"published","date_updated":"2023-11-24T16:59:03Z","_id":"31583","language":[{"iso":"eng"}],"page":"9-15","volume":3,"editor":[{"full_name":"Inprasitha, M.","first_name":"M.","last_name":"Inprasitha"},{"first_name":"N.","last_name":"Changsri","full_name":"Changsri, N."},{"first_name":"N.","last_name":"Boonsena","full_name":"Boonsena, N."}],"user_id":"45445"},{"abstract":[{"lang":"eng","text":"The first order optimality conditions of optimal control problems (OCPs) can\r\nbe regarded as boundary value problems for Hamiltonian systems. Variational or\r\nsymplectic discretisation methods are classically known for their excellent\r\nlong term behaviour. As boundary value problems are posed on intervals of\r\nfixed, moderate length, it is not immediately clear whether methods can profit\r\nfrom structure preservation in this context. When parameters are present,\r\nsolutions can undergo bifurcations, for instance, two solutions can merge and\r\nannihilate one another as parameters are varied. We will show that generic\r\nbifurcations of an OCP are preserved under discretisation when the OCP is\r\neither directly discretised to a discrete OCP (direct method) or translated\r\ninto a Hamiltonian boundary value problem using first order necessary\r\nconditions of optimality which is then solved using a symplectic integrator\r\n(indirect method). Moreover, certain bifurcations break when a non-symplectic\r\nscheme is used. The general phenomenon is illustrated on the example of a cut\r\nlocus of an ellipsoid."}],"related_material":{"link":[{"description":"GitHub/Zenodo","relation":"software","url":"https://doi.org/10.5281/zenodo.4562664"}]},"keyword":["optimal control","catastrophe theory","bifurcations","variational methods","symplectic integrators"],"type":"conference","department":[{"_id":"636"}],"file":[{"date_updated":"2021-07-29T09:37:49Z","relation":"main_file","access_level":"open_access","file_size":3125220,"file_name":"ifacconf.pdf","content_type":"application/pdf","file_id":"22895","creator":"coffen","date_created":"2021-07-29T09:37:49Z"}],"date_created":"2021-07-29T09:38:32Z","publication_status":"published","date_updated":"2023-11-29T10:19:41Z","year":"2021","title":"Bifurcation preserving discretisations of optimal control problems","author":[{"id":"85279","full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","last_name":"Offen","first_name":"Christian"},{"id":"16494","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina"}],"publication_identifier":{"issn":["2405-8963"]},"doi":"https://doi.org/10.1016/j.ifacol.2021.11.099","main_file_link":[{"url":"https://www.sciencedirect.com/science/article/pii/S2405896321021236","open_access":"1"}],"series_title":"IFAC-PapersOnLine","language":[{"iso":"eng"}],"quality_controlled":"1","file_date_updated":"2021-07-29T09:37:49Z","citation":{"mla":"Offen, Christian, and Sina Ober-Blöbaum. <i>Bifurcation Preserving Discretisations of Optimal Control Problems</i>. 2021, pp. 334–39, doi:<a href=\"https://doi.org/10.1016/j.ifacol.2021.11.099\">https://doi.org/10.1016/j.ifacol.2021.11.099</a>.","bibtex":"@article{Offen_Ober-Blöbaum_2021, series={IFAC-PapersOnLine}, title={Bifurcation preserving discretisations of optimal control problems}, volume={54(19)}, DOI={<a href=\"https://doi.org/10.1016/j.ifacol.2021.11.099\">https://doi.org/10.1016/j.ifacol.2021.11.099</a>}, author={Offen, Christian and Ober-Blöbaum, Sina}, year={2021}, pages={334–339}, collection={IFAC-PapersOnLine} }","ama":"Offen C, Ober-Blöbaum S. Bifurcation preserving discretisations of optimal control problems. 2021;54(19):334-339. doi:<a href=\"https://doi.org/10.1016/j.ifacol.2021.11.099\">https://doi.org/10.1016/j.ifacol.2021.11.099</a>","ieee":"C. Offen and S. Ober-Blöbaum, “Bifurcation preserving discretisations of optimal control problems,” vol. 54(19). pp. 334–339, 2021, doi: <a href=\"https://doi.org/10.1016/j.ifacol.2021.11.099\">https://doi.org/10.1016/j.ifacol.2021.11.099</a>.","apa":"Offen, C., &#38; Ober-Blöbaum, S. (2021). <i>Bifurcation preserving discretisations of optimal control problems: Vol. 54(19)</i> (pp. 334–339). <a href=\"https://doi.org/10.1016/j.ifacol.2021.11.099\">https://doi.org/10.1016/j.ifacol.2021.11.099</a>","short":"C. Offen, S. Ober-Blöbaum, 54(19) (2021) 334–339.","chicago":"Offen, Christian, and Sina Ober-Blöbaum. “Bifurcation Preserving Discretisations of Optimal Control Problems.” IFAC-PapersOnLine, 2021. <a href=\"https://doi.org/10.1016/j.ifacol.2021.11.099\">https://doi.org/10.1016/j.ifacol.2021.11.099</a>."},"oa":"1","external_id":{"arxiv":["2107.13853"]},"has_accepted_license":"1","status":"public","conference":{"location":"Berlin, Germany","name":"7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, LHMNC 2021","start_date":"2021-10-11","end_date":"2021-10-13"},"user_id":"15694","ddc":["510"],"volume":"54(19)","page":"334-339","_id":"22894"},{"page":"2896","_id":"21572","publisher":"IEEE","user_id":"15694","status":"public","conference":{"end_date":"2021-12-17","name":"60th IEEE Conference on Decision and Control (CDC)","start_date":"2021-12-14","location":"Austin, TX, USA"},"external_id":{"arxiv":["2011.05364"]},"citation":{"mla":"Ridderbusch, Steffen, et al. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” <i>2021 60th IEEE Conference on Decision and Control (CDC)</i>, IEEE, 2021, p. 2896, doi:<a href=\"https://doi.org/10.1109/CDC45484.2021.9683426\">10.1109/CDC45484.2021.9683426</a>.","bibtex":"@inproceedings{Ridderbusch_Offen_Ober-Blöbaum_Goulart_2021, title={Learning ODE Models with Qualitative Structure Using Gaussian Processes }, DOI={<a href=\"https://doi.org/10.1109/CDC45484.2021.9683426\">10.1109/CDC45484.2021.9683426</a>}, booktitle={2021 60th IEEE Conference on Decision and Control (CDC)}, publisher={IEEE}, author={Ridderbusch, Steffen and Offen, Christian and Ober-Blöbaum, Sina and Goulart, Paul}, year={2021}, pages={2896} }","ama":"Ridderbusch S, Offen C, Ober-Blöbaum S, Goulart P. Learning ODE Models with Qualitative Structure Using Gaussian Processes . In: <i>2021 60th IEEE Conference on Decision and Control (CDC)</i>. IEEE; 2021:2896. doi:<a href=\"https://doi.org/10.1109/CDC45484.2021.9683426\">10.1109/CDC45484.2021.9683426</a>","ieee":"S. Ridderbusch, C. Offen, S. Ober-Blöbaum, and P. Goulart, “Learning ODE Models with Qualitative Structure Using Gaussian Processes ,” in <i>2021 60th IEEE Conference on Decision and Control (CDC)</i>, Austin, TX, USA, 2021, p. 2896, doi: <a href=\"https://doi.org/10.1109/CDC45484.2021.9683426\">10.1109/CDC45484.2021.9683426</a>.","apa":"Ridderbusch, S., Offen, C., Ober-Blöbaum, S., &#38; Goulart, P. (2021). Learning ODE Models with Qualitative Structure Using Gaussian Processes . <i>2021 60th IEEE Conference on Decision and Control (CDC)</i>, 2896. <a href=\"https://doi.org/10.1109/CDC45484.2021.9683426\">https://doi.org/10.1109/CDC45484.2021.9683426</a>","chicago":"Ridderbusch, Steffen, Christian Offen, Sina Ober-Blöbaum, and Paul Goulart. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” In <i>2021 60th IEEE Conference on Decision and Control (CDC)</i>, 2896. IEEE, 2021. <a href=\"https://doi.org/10.1109/CDC45484.2021.9683426\">https://doi.org/10.1109/CDC45484.2021.9683426</a>.","short":"S. Ridderbusch, C. Offen, S. Ober-Blöbaum, P. Goulart, in: 2021 60th IEEE Conference on Decision and Control (CDC), IEEE, 2021, p. 2896."},"language":[{"iso":"eng"}],"doi":"10.1109/CDC45484.2021.9683426","title":"Learning ODE Models with Qualitative Structure Using Gaussian Processes ","year":"2021","publication_identifier":{"eisbn":["978-1-6654-3659-5"]},"author":[{"last_name":"Ridderbusch","first_name":"Steffen","full_name":"Ridderbusch, Steffen"},{"id":"85279","full_name":"Offen, Christian","first_name":"Christian","orcid":"0000-0002-5940-8057","last_name":"Offen"},{"full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum","id":"16494"},{"full_name":"Goulart, Paul","last_name":"Goulart","first_name":"Paul"}],"publication_status":"published","date_updated":"2023-11-29T10:24:55Z","date_created":"2021-03-30T10:27:44Z","type":"conference","department":[{"_id":"636"}],"publication":"2021 60th IEEE Conference on Decision and Control (CDC)","related_material":{"link":[{"description":"GitHub","url":"https://github.com/Crown421/StructureGPs-paper","relation":"software"}]}},{"citation":{"mla":"Vertovec, Nikolaus, et al. <i>Multi-Objective Minimum Time Optimal Control for Low-Thrust Trajectory Design</i>. pp. 1975–80.","apa":"Vertovec, N., Ober-Blöbaum, S., &#38; Margellos, K. (n.d.). <i>Multi-objective minimum time optimal control for low-thrust trajectory design</i>. 1975–1980.","ieee":"N. Vertovec, S. Ober-Blöbaum, and K. Margellos, “Multi-objective minimum time optimal control for low-thrust trajectory design,” Rotterdam, the Netherlands, pp. 1975–1980.","short":"N. Vertovec, S. Ober-Blöbaum, K. Margellos, in: n.d., pp. 1975–1980.","ama":"Vertovec N, Ober-Blöbaum S, Margellos K. Multi-objective minimum time optimal control for low-thrust trajectory design. In: ; :1975-1980.","chicago":"Vertovec, Nikolaus, Sina Ober-Blöbaum, and Kostas Margellos. “Multi-Objective Minimum Time Optimal Control for Low-Thrust Trajectory Design,” 1975–80, n.d.","bibtex":"@inproceedings{Vertovec_Ober-Blöbaum_Margellos, title={Multi-objective minimum time optimal control for low-thrust trajectory design}, author={Vertovec, Nikolaus and Ober-Blöbaum, Sina and Margellos, Kostas}, pages={1975–1980} }"},"abstract":[{"text":"We propose a reachability approach for infinite and finite horizon multi-objective optimization problems for low-thrust spacecraft trajectory design. The main advantage of the proposed method is that the Pareto front can be efficiently constructed from the zero level set of the solution to a Hamilton-Jacobi-Bellman equation. We demonstrate the proposed method by applying it to a low-thrust spacecraft trajectory design problem. By deriving the analytic expression for the Hamiltonian and the optimal control policy, we are able to efficiently compute the backward reachable set and reconstruct the optimal trajectories. Furthermore, we show that any reconstructed trajectory will be guaranteed to be weakly Pareto optimal. The proposed method can be used as a benchmark for future research of applying reachability analysis to low-thrust spacecraft trajectory design.","lang":"eng"}],"external_id":{"arxiv":["2103.08813"]},"date_created":"2021-04-03T03:00:35Z","type":"conference","department":[{"_id":"636"}],"title":"Multi-objective minimum time optimal control for low-thrust trajectory design","status":"public","year":"2021","conference":{"end_date":"2021-07-02","location":"Rotterdam, the Netherlands","name":"2021 European Control Conference (ECC)","start_date":"2021-06-29"},"author":[{"id":"87056","last_name":"Vertovec","first_name":"Nikolaus","full_name":"Vertovec, Nikolaus"},{"id":"16494","first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina"},{"full_name":"Margellos, Kostas","first_name":"Kostas","last_name":"Margellos"}],"date_updated":"2023-11-29T10:26:49Z","publication_status":"accepted","page":"1975-1980","_id":"21592","language":[{"iso":"eng"}],"user_id":"15694"},{"intvolume":"        46","date_updated":"2023-11-29T10:23:46Z","author":[{"full_name":"Jiménez, F.","first_name":"F.","last_name":"Jiménez"},{"full_name":"Ober-Blöbaum, Sina","first_name":"Sina","last_name":"Ober-Blöbaum","id":"16494"}],"status":"public","year":"2021","title":"Fractional Damping Through Restricted Calculus of Variations","volume":46,"user_id":"15694","_id":"29868","language":[{"iso":"eng"}],"series_title":"J Nonlinear Sci ","citation":{"mla":"Jiménez, F., and Sina Ober-Blöbaum. “Fractional Damping Through Restricted Calculus of Variations.” <i>Nichtlineare Sci 31</i>, vol. 46, 2021.","ama":"Jiménez F, Ober-Blöbaum S. Fractional Damping Through Restricted Calculus of Variations. In: <i>Nichtlineare Sci 31</i>. Vol 46. J Nonlinear Sci . ; 2021.","bibtex":"@inproceedings{Jiménez_Ober-Blöbaum_2021, series={J Nonlinear Sci }, title={Fractional Damping Through Restricted Calculus of Variations}, volume={46}, booktitle={Nichtlineare Sci 31}, author={Jiménez, F. and Ober-Blöbaum, Sina}, year={2021}, collection={J Nonlinear Sci } }","apa":"Jiménez, F., &#38; Ober-Blöbaum, S. (2021). Fractional Damping Through Restricted Calculus of Variations. <i>Nichtlineare Sci 31</i>, <i>46</i>.","ieee":"F. Jiménez and S. Ober-Blöbaum, “Fractional Damping Through Restricted Calculus of Variations,” in <i>Nichtlineare Sci 31</i>, 2021, vol. 46.","chicago":"Jiménez, F., and Sina Ober-Blöbaum. “Fractional Damping Through Restricted Calculus of Variations.” In <i>Nichtlineare Sci 31</i>, Vol. 46. J Nonlinear Sci , 2021.","short":"F. Jiménez, S. Ober-Blöbaum, in: Nichtlineare Sci 31, 2021."},"publication":"Nichtlineare Sci 31","department":[{"_id":"636"}],"type":"conference","date_created":"2022-02-17T07:28:47Z"},{"status":"public","user_id":"72183","volume":42,"page":"581-623","publisher":"Springer Science and Business Media LLC","_id":"34827","quality_controlled":"1","citation":{"bibtex":"@article{Bruns_Unterhauser_Gasteiger_2021, title={Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat}, volume={42}, DOI={<a href=\"https://doi.org/10.1007/s13138-021-00185-4\">10.1007/s13138-021-00185-4</a>}, number={2}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science and Business Media LLC}, author={Bruns, Julia and Unterhauser, Elisabeth and Gasteiger, Hedwig}, year={2021}, pages={581–623} }","ama":"Bruns J, Unterhauser E, Gasteiger H. Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat. <i>Journal für Mathematik-Didaktik</i>. 2021;42(2):581-623. doi:<a href=\"https://doi.org/10.1007/s13138-021-00185-4\">10.1007/s13138-021-00185-4</a>","mla":"Bruns, Julia, et al. “Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat.” <i>Journal für Mathematik-Didaktik</i>, vol. 42, no. 2, Springer Science and Business Media LLC, 2021, pp. 581–623, doi:<a href=\"https://doi.org/10.1007/s13138-021-00185-4\">10.1007/s13138-021-00185-4</a>.","chicago":"Bruns, Julia, Elisabeth Unterhauser, and Hedwig Gasteiger. “Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat.” <i>Journal für Mathematik-Didaktik</i> 42, no. 2 (2021): 581–623. <a href=\"https://doi.org/10.1007/s13138-021-00185-4\">https://doi.org/10.1007/s13138-021-00185-4</a>.","short":"J. Bruns, E. Unterhauser, H. Gasteiger, Journal für Mathematik-Didaktik 42 (2021) 581–623.","ieee":"J. Bruns, E. Unterhauser, and H. Gasteiger, “Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat,” <i>Journal für Mathematik-Didaktik</i>, vol. 42, no. 2, pp. 581–623, 2021, doi: <a href=\"https://doi.org/10.1007/s13138-021-00185-4\">10.1007/s13138-021-00185-4</a>.","apa":"Bruns, J., Unterhauser, E., &#38; Gasteiger, H. (2021). Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat. <i>Journal für Mathematik-Didaktik</i>, <i>42</i>(2), 581–623. <a href=\"https://doi.org/10.1007/s13138-021-00185-4\">https://doi.org/10.1007/s13138-021-00185-4</a>"},"date_updated":"2023-10-23T11:14:59Z","publication_status":"published","intvolume":"        42","year":"2021","title":"Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat","author":[{"id":"72183","last_name":"Bruns","first_name":"Julia","orcid":"https://orcid.org/0000-0002-6604-5864","full_name":"Bruns, Julia"},{"last_name":"Unterhauser","first_name":"Elisabeth","full_name":"Unterhauser, Elisabeth"},{"full_name":"Gasteiger, Hedwig","first_name":"Hedwig","last_name":"Gasteiger"}],"publication_identifier":{"issn":["0173-5322","1869-2699"]},"doi":"10.1007/s13138-021-00185-4","language":[{"iso":"ger"}],"abstract":[{"lang":"eng","text":"<jats:title>Zusammenfassung</jats:title><jats:p>Zu den ersten geometrischen Begriffen, die Kinder bereits im Elementar- und Primarbereich lernen, zählen u. a. Viereck, Rechteck und Quadrat. Studien zeigen, dass Lernende bereits früh individuelle Vorstellungen, sog. <jats:italic>individuelle Begriffskonzepte,</jats:italic> zu diesen Begriffen aufbauen. Zwar wird die Entwicklung von Begriffsverständnis in verschiedenen mathematikdidaktischen Stufenmodellen dargestellt, diese sind jedoch generisch und beschreiben nicht explizit die Entwicklung der ersten <jats:italic>individuellen Begriffskonzepte </jats:italic>von Lernenden zu Viereck, Rechteck und Quadrat. Aus empirischer Sicht liegen verschiedene Studien vor, die einzelne Aspekte der individuellen Begriffskonzepte von Lernenden unterschiedlicher Altersgruppen zu diesen Begriffen ausleuchten. Um Begriffsbildungsprozesse aus empirischer Sicht detaillierter entlang der jeweils vorherrschenden individuellen Begriffskonzepte zu beschreiben, fehlen insbesondere Studien in der Grundschule, die alle vier Klassenstufen betrachten und dabei differenzierte Erkenntnisse zu verschiedenen theoretischen Indikatoren des Begriffsverständnisses liefern. Daher geht die vorliegende Studie der Frage nach, welches Verständnis der Begriffe Viereck, Rechteck und Quadrat Schülerinnen und Schüler der Jahrgangsstufen 1, 2, 3 und 4 zeigen. Dazu wurde eine Quasi-Längsschnittstudie mit <jats:italic>N</jats:italic> = 456 Grundschulkindern (ca. 100 pro Jahrgangsstufe) durchgeführt. Die Ergebnisse geben detaillierte Einblicke in die individuellen Begriffskonzepte der Lernenden und zeigen, dass Lernende zunehmend Eigenschaften der Figuren berücksichtigen, jedoch individuelle Begriffskonzepte über lange Zeit auch prototypisch geprägt sind. Implikationen dieser Ergebnisse für Forschung und Praxis werden diskutiert.</jats:p>"}],"issue":"2","publication":"Journal für Mathematik-Didaktik","keyword":["Education","General Mathematics"],"type":"journal_article","department":[{"_id":"97"},{"_id":"611"}],"date_created":"2022-12-22T09:26:39Z"},{"date_created":"2023-05-31T07:14:10Z","department":[{"_id":"98"}],"type":"journal_article","citation":{"bibtex":"@article{Prediger_Dröse_2021, title={Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung}, DOI={<a href=\"https://doi.org/doi.org/10.1024/2235-0977/a000330\">doi.org/10.1024/2235-0977/a000330</a>}, journal={Lernen und Lernstörungen, 10(2)}, author={Prediger, Susanne and Dröse, Jennifer}, year={2021} }","ama":"Prediger S, Dröse J. Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung. <i>Lernen und Lernstörungen, 10(2)</i>. Published online 2021. doi:<a href=\"https://doi.org/doi.org/10.1024/2235-0977/a000330\">doi.org/10.1024/2235-0977/a000330</a>","mla":"Prediger, Susanne, and Jennifer Dröse. “Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung.” <i>Lernen und Lernstörungen, 10(2)</i>, 2021, doi:<a href=\"https://doi.org/doi.org/10.1024/2235-0977/a000330\">doi.org/10.1024/2235-0977/a000330</a>.","short":"S. Prediger, J. Dröse, Lernen und Lernstörungen, 10(2) (2021).","chicago":"Prediger, Susanne, and Jennifer Dröse. “Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung.” <i>Lernen und Lernstörungen, 10(2)</i>, 2021. <a href=\"https://doi.org/doi.org/10.1024/2235-0977/a000330\">https://doi.org/doi.org/10.1024/2235-0977/a000330</a>.","ieee":"S. Prediger and J. Dröse, “Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung,” <i>Lernen und Lernstörungen, 10(2)</i>, 2021, doi: <a href=\"https://doi.org/doi.org/10.1024/2235-0977/a000330\">doi.org/10.1024/2235-0977/a000330</a>.","apa":"Prediger, S., &#38; Dröse, J. (2021). Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung. <i>Lernen und Lernstörungen, 10(2)</i>. <a href=\"https://doi.org/doi.org/10.1024/2235-0977/a000330\">https://doi.org/doi.org/10.1024/2235-0977/a000330</a>"},"publication":"Lernen und Lernstörungen, 10(2)","quality_controlled":"1","language":[{"iso":"ger"}],"_id":"45382","user_id":"85820","doi":"doi.org/10.1024/2235-0977/a000330","author":[{"full_name":"Prediger, Susanne","first_name":"Susanne","last_name":"Prediger"},{"id":"85820","first_name":"Jennifer","last_name":"Dröse","full_name":"Dröse, Jennifer"}],"title":"Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung","year":"2021","status":"public","date_updated":"2023-11-02T08:09:00Z"}]