[{"language":[{"iso":"ger"}],"extern":"1","_id":"45391","department":[{"_id":"98"}],"user_id":"85820","editor":[{"full_name":"Frank, A.","last_name":"Frank","first_name":"A."},{"first_name":"S.","full_name":"Krauss, S.","last_name":"Krauss"},{"first_name":"K.","last_name":"Binder","full_name":"Binder, K."}],"status":"public","publication":"Beiträge zum Mathematikunterricht 2019 ","type":"conference","title":"Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5","date_updated":"2023-11-02T08:10:18Z","publisher":"WTM","date_created":"2023-05-31T08:10:11Z","author":[{"full_name":"Delucchi, R.","last_name":"Delucchi","first_name":"R."},{"last_name":"Neugebauer","full_name":"Neugebauer, P.","first_name":"P."},{"first_name":"Jennifer","id":"85820","full_name":"Dröse, Jennifer","last_name":"Dröse"},{"first_name":"Susanne","full_name":"Prediger, Susanne","last_name":"Prediger"},{"first_name":"B.","last_name":"Mertins","full_name":"Mertins, B."}],"year":"2019","place":"Münster","page":"1239-1242","citation":{"bibtex":"@inproceedings{Delucchi_Neugebauer_Dröse_Prediger_Mertins_2019, place={Münster}, title={Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5}, booktitle={Beiträge zum Mathematikunterricht 2019 }, publisher={WTM}, author={Delucchi, R. and Neugebauer, P. and Dröse, Jennifer and Prediger, Susanne and Mertins, B.}, editor={Frank, A. and Krauss, S. and Binder, K.}, year={2019}, pages={1239–1242} }","short":"R. Delucchi, P. Neugebauer, J. Dröse, S. Prediger, B. Mertins, in: A. Frank, S. Krauss, K. Binder (Eds.), Beiträge zum Mathematikunterricht 2019 , WTM, Münster, 2019, pp. 1239–1242.","mla":"Delucchi, R., et al. “Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5.” <i>Beiträge zum Mathematikunterricht 2019 </i>, edited by A. Frank et al., WTM, 2019, pp. 1239–42.","apa":"Delucchi, R., Neugebauer, P., Dröse, J., Prediger, S., &#38; Mertins, B. (2019). Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5. In A. Frank, S. Krauss, &#38; K. Binder (Eds.), <i>Beiträge zum Mathematikunterricht 2019 </i> (pp. 1239–1242). WTM.","chicago":"Delucchi, R., P. Neugebauer, Jennifer Dröse, Susanne Prediger, and B. Mertins. “Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5.” In <i>Beiträge zum Mathematikunterricht 2019 </i>, edited by A. Frank, S. Krauss, and K. Binder, 1239–42. Münster: WTM, 2019.","ieee":"R. Delucchi, P. Neugebauer, J. Dröse, S. Prediger, and B. Mertins, “Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5,” in <i>Beiträge zum Mathematikunterricht 2019 </i>, 2019, pp. 1239–1242.","ama":"Delucchi R, Neugebauer P, Dröse J, Prediger S, Mertins B. Eye-Tracking-Studie zum Erfassen von Referenzstrukturen in Textaufgaben der Klasse 5. In: Frank A, Krauss S, Binder K, eds. <i>Beiträge zum Mathematikunterricht 2019 </i>. WTM; 2019:1239-1242."}},{"publication_identifier":{"issn":["1536-0040"]},"publication_status":"published","issue":"3","year":"2019","intvolume":"        18","page":"1265-1292","citation":{"apa":"Ziessler, A., Dellnitz, M., &#38; Gerlach, R. (2019). The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. <i>SIAM Journal on Applied Dynamical Systems</i>, <i>18</i>(3), 1265–1292. <a href=\"https://doi.org/10.1137/18m1204395\">https://doi.org/10.1137/18m1204395</a>","bibtex":"@article{Ziessler_Dellnitz_Gerlach_2019, title={The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques}, volume={18}, DOI={<a href=\"https://doi.org/10.1137/18m1204395\">10.1137/18m1204395</a>}, number={3}, journal={SIAM Journal on Applied Dynamical Systems}, author={Ziessler, Adrian and Dellnitz, Michael and Gerlach, Raphael}, year={2019}, pages={1265–1292} }","mla":"Ziessler, Adrian, et al. “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques.” <i>SIAM Journal on Applied Dynamical Systems</i>, vol. 18, no. 3, 2019, pp. 1265–92, doi:<a href=\"https://doi.org/10.1137/18m1204395\">10.1137/18m1204395</a>.","short":"A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems 18 (2019) 1265–1292.","ama":"Ziessler A, Dellnitz M, Gerlach R. The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. <i>SIAM Journal on Applied Dynamical Systems</i>. 2019;18(3):1265-1292. doi:<a href=\"https://doi.org/10.1137/18m1204395\">10.1137/18m1204395</a>","ieee":"A. Ziessler, M. Dellnitz, and R. Gerlach, “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques,” <i>SIAM Journal on Applied Dynamical Systems</i>, vol. 18, no. 3, pp. 1265–1292, 2019, doi: <a href=\"https://doi.org/10.1137/18m1204395\">10.1137/18m1204395</a>.","chicago":"Ziessler, Adrian, Michael Dellnitz, and Raphael Gerlach. “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques.” <i>SIAM Journal on Applied Dynamical Systems</i> 18, no. 3 (2019): 1265–92. <a href=\"https://doi.org/10.1137/18m1204395\">https://doi.org/10.1137/18m1204395</a>."},"date_updated":"2023-11-17T13:13:09Z","volume":18,"author":[{"first_name":"Adrian","full_name":"Ziessler, Adrian","last_name":"Ziessler"},{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"},{"first_name":"Raphael","id":"32655","full_name":"Gerlach, Raphael","last_name":"Gerlach"}],"date_created":"2020-04-16T14:04:20Z","title":"The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques","doi":"10.1137/18m1204395","main_file_link":[{"url":"https://epubs.siam.org/doi/epdf/10.1137/18M1204395"}],"publication":"SIAM Journal on Applied Dynamical Systems","type":"journal_article","abstract":[{"lang":"eng","text":" In this work we extend the novel framework developed by Dellnitz, Hessel-von Molo, and Ziessler to\r\nthe computation of finite dimensional unstable manifolds of infinite dimensional dynamical systems.\r\nTo this end, we adapt a set-oriented continuation technique developed by Dellnitz and Hohmann for\r\nthe computation of such objects of finite dimensional systems with the results obtained in the work\r\nof Dellnitz, Hessel-von Molo, and Ziessler. We show how to implement this approach for the analysis\r\nof partial differential equations and illustrate its feasibility by computing unstable manifolds of the\r\none-dimensional Kuramoto--Sivashinsky equation as well as for the Mackey--Glass delay differential\r\nequation.\r\n"}],"status":"public","_id":"16708","department":[{"_id":"101"}],"user_id":"32655","language":[{"iso":"eng"}]},{"status":"public","abstract":[{"text":"We relate proper isometry classes of maximal lattices in a totally definite quaternary quadratic space (V,q) with trivial discriminant to certain equivalence classes of ideals in the quaternion algebra representing the Clifford invariant of (V,q). This yields a good algorithm to enumerate a system of representatives of proper isometry classes of lattices in genera of maximal lattices in (V,q).","lang":"eng"}],"publication":"International Journal of Number Theory","type":"journal_article","language":[{"iso":"eng"}],"keyword":["Algebra and Number Theory"],"department":[{"_id":"102"}],"user_id":"82258","_id":"34917","intvolume":"        15","page":"309-325","citation":{"ieee":"M. Kirschmer and G. Nebe, “Quaternary quadratic lattices over number fields,” <i>International Journal of Number Theory</i>, vol. 15, no. 02, pp. 309–325, 2019, doi: <a href=\"https://doi.org/10.1142/s1793042119500131\">10.1142/s1793042119500131</a>.","chicago":"Kirschmer, Markus, and Gabriele Nebe. “Quaternary Quadratic Lattices over Number Fields.” <i>International Journal of Number Theory</i> 15, no. 02 (2019): 309–25. <a href=\"https://doi.org/10.1142/s1793042119500131\">https://doi.org/10.1142/s1793042119500131</a>.","ama":"Kirschmer M, Nebe G. Quaternary quadratic lattices over number fields. <i>International Journal of Number Theory</i>. 2019;15(02):309-325. doi:<a href=\"https://doi.org/10.1142/s1793042119500131\">10.1142/s1793042119500131</a>","apa":"Kirschmer, M., &#38; Nebe, G. (2019). Quaternary quadratic lattices over number fields. <i>International Journal of Number Theory</i>, <i>15</i>(02), 309–325. <a href=\"https://doi.org/10.1142/s1793042119500131\">https://doi.org/10.1142/s1793042119500131</a>","bibtex":"@article{Kirschmer_Nebe_2019, title={Quaternary quadratic lattices over number fields}, volume={15}, DOI={<a href=\"https://doi.org/10.1142/s1793042119500131\">10.1142/s1793042119500131</a>}, number={02}, journal={International Journal of Number Theory}, publisher={World Scientific Pub Co Pte Lt}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2019}, pages={309–325} }","short":"M. Kirschmer, G. Nebe, International Journal of Number Theory 15 (2019) 309–325.","mla":"Kirschmer, Markus, and Gabriele Nebe. “Quaternary Quadratic Lattices over Number Fields.” <i>International Journal of Number Theory</i>, vol. 15, no. 02, World Scientific Pub Co Pte Lt, 2019, pp. 309–25, doi:<a href=\"https://doi.org/10.1142/s1793042119500131\">10.1142/s1793042119500131</a>."},"year":"2019","issue":"02","publication_identifier":{"issn":["1793-0421","1793-7310"]},"publication_status":"published","doi":"10.1142/s1793042119500131","title":"Quaternary quadratic lattices over number fields","volume":15,"author":[{"first_name":"Markus","last_name":"Kirschmer","id":"82258","full_name":"Kirschmer, Markus"},{"full_name":"Nebe, Gabriele","last_name":"Nebe","first_name":"Gabriele"}],"date_created":"2022-12-23T11:05:09Z","publisher":"World Scientific Pub Co Pte Lt","date_updated":"2023-12-06T10:05:59Z"},{"language":[{"iso":"eng"}],"keyword":["Algebra and Number Theory"],"user_id":"82258","department":[{"_id":"102"}],"_id":"34916","status":"public","abstract":[{"text":"We describe the powers of irreducible polynomials occurring as characteristic polynomials of automorphisms of even unimodular lattices over number fields. This generalizes results of Gross & McMullen and Bayer-Fluckiger & Taelman.","lang":"eng"}],"type":"journal_article","publication":"Journal of Number Theory","doi":"10.1016/j.jnt.2018.08.004","title":"Automorphisms of even unimodular lattices over number fields","author":[{"full_name":"Kirschmer, Markus","id":"82258","last_name":"Kirschmer","first_name":"Markus"}],"date_created":"2022-12-23T11:04:34Z","volume":197,"date_updated":"2023-12-06T10:07:17Z","publisher":"Elsevier BV","citation":{"ama":"Kirschmer M. Automorphisms of even unimodular lattices over number fields. <i>Journal of Number Theory</i>. 2019;197:121-134. doi:<a href=\"https://doi.org/10.1016/j.jnt.2018.08.004\">10.1016/j.jnt.2018.08.004</a>","ieee":"M. Kirschmer, “Automorphisms of even unimodular lattices over number fields,” <i>Journal of Number Theory</i>, vol. 197, pp. 121–134, 2019, doi: <a href=\"https://doi.org/10.1016/j.jnt.2018.08.004\">10.1016/j.jnt.2018.08.004</a>.","chicago":"Kirschmer, Markus. “Automorphisms of Even Unimodular Lattices over Number Fields.” <i>Journal of Number Theory</i> 197 (2019): 121–34. <a href=\"https://doi.org/10.1016/j.jnt.2018.08.004\">https://doi.org/10.1016/j.jnt.2018.08.004</a>.","apa":"Kirschmer, M. (2019). Automorphisms of even unimodular lattices over number fields. <i>Journal of Number Theory</i>, <i>197</i>, 121–134. <a href=\"https://doi.org/10.1016/j.jnt.2018.08.004\">https://doi.org/10.1016/j.jnt.2018.08.004</a>","short":"M. Kirschmer, Journal of Number Theory 197 (2019) 121–134.","mla":"Kirschmer, Markus. “Automorphisms of Even Unimodular Lattices over Number Fields.” <i>Journal of Number Theory</i>, vol. 197, Elsevier BV, 2019, pp. 121–34, doi:<a href=\"https://doi.org/10.1016/j.jnt.2018.08.004\">10.1016/j.jnt.2018.08.004</a>.","bibtex":"@article{Kirschmer_2019, title={Automorphisms of even unimodular lattices over number fields}, volume={197}, DOI={<a href=\"https://doi.org/10.1016/j.jnt.2018.08.004\">10.1016/j.jnt.2018.08.004</a>}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Kirschmer, Markus}, year={2019}, pages={121–134} }"},"intvolume":"       197","page":"121-134","year":"2019","publication_status":"published","publication_identifier":{"issn":["0022-314X"]}},{"citation":{"apa":"Schütte, P. (2019). <i>Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces</i>.","bibtex":"@book{Schütte_2019, title={Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces}, author={Schütte, Philipp}, year={2019} }","short":"P. Schütte, Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces, 2019.","mla":"Schütte, Philipp. <i>Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces</i>. 2019.","ama":"Schütte P. <i>Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces</i>.; 2019.","ieee":"P. Schütte, <i>Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces</i>. 2019.","chicago":"Schütte, Philipp. <i>Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces</i>, 2019."},"year":"2019","title":"Numerically Investigating Residues of Weighted Zeta Functions on Schottky Surfaces","date_created":"2022-05-17T13:41:53Z","supervisor":[{"orcid":"0000-0002-9648-6919","last_name":"Weich","full_name":"Weich, Tobias","id":"49178","first_name":"Tobias"},{"last_name":"Hilgert","full_name":"Hilgert, Joachim","id":"220","first_name":"Joachim"}],"author":[{"last_name":"Schütte","id":"50168","full_name":"Schütte, Philipp","first_name":"Philipp"}],"date_updated":"2024-02-19T06:21:23Z","status":"public","type":"mastersthesis","language":[{"iso":"eng"}],"user_id":"49063","department":[{"_id":"548"}],"_id":"31302"},{"_id":"51387","department":[{"_id":"91"}],"user_id":"49063","language":[{"iso":"eng"}],"publication":"Inter. Math. Research Notices","type":"journal_article","status":"public","date_updated":"2024-02-19T06:40:10Z","volume":20,"author":[{"first_name":"Joachim","id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert"},{"last_name":"Parthasarathy","full_name":"Parthasarathy, A.","first_name":"A."},{"full_name":"Hansen, S.","last_name":"Hansen","first_name":"S."}],"date_created":"2024-02-19T06:38:19Z","title":"Resonances and Scattering Poles in Symmetric Spaces of Rank One","publication_status":"published","year":"2019","intvolume":"        20","page":"6362-6389","citation":{"apa":"Hilgert, J., Parthasarathy, A., &#38; Hansen, S. (2019). Resonances and Scattering Poles in Symmetric Spaces of Rank One. <i>Inter. Math. Research Notices</i>, <i>20</i>, 6362–6389.","bibtex":"@article{Hilgert_Parthasarathy_Hansen_2019, title={Resonances and Scattering Poles in Symmetric Spaces of Rank One}, volume={20}, journal={Inter. Math. Research Notices}, author={Hilgert, Joachim and Parthasarathy, A. and Hansen, S.}, year={2019}, pages={6362–6389} }","mla":"Hilgert, Joachim, et al. “Resonances and Scattering Poles in Symmetric Spaces of Rank One.” <i>Inter. Math. Research Notices</i>, vol. 20, 2019, pp. 6362–89.","short":"J. Hilgert, A. Parthasarathy, S. Hansen, Inter. Math. Research Notices 20 (2019) 6362–6389.","chicago":"Hilgert, Joachim, A. Parthasarathy, and S. Hansen. “Resonances and Scattering Poles in Symmetric Spaces of Rank One.” <i>Inter. Math. Research Notices</i> 20 (2019): 6362–89.","ieee":"J. Hilgert, A. Parthasarathy, and S. Hansen, “Resonances and Scattering Poles in Symmetric Spaces of Rank One,” <i>Inter. Math. Research Notices</i>, vol. 20, pp. 6362–6389, 2019.","ama":"Hilgert J, Parthasarathy A, Hansen S. Resonances and Scattering Poles in Symmetric Spaces of Rank One. <i>Inter Math Research Notices</i>. 2019;20:6362-6389."}},{"volume":66,"author":[{"last_name":"Hilgert","full_name":"Hilgert, Joachim","id":"220","first_name":"Joachim"}],"date_created":"2024-02-20T10:11:29Z","date_updated":"2024-02-20T10:11:36Z","doi":"10.1007/s00591-018-0233-8","title":"Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical Society 2015","publication_status":"published","intvolume":"        66","page":"247–249","citation":{"ama":"Hilgert J. Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical Society 2015. <i>Mathematische Semesterberichte</i>. 2019;66:247–249. doi:<a href=\"https://doi.org/10.1007/s00591-018-0233-8\">10.1007/s00591-018-0233-8</a>","chicago":"Hilgert, Joachim. “Lizhen Ji Und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical Society 2015.” <i>Mathematische Semesterberichte</i>, 2019. <a href=\"https://doi.org/10.1007/s00591-018-0233-8\">https://doi.org/10.1007/s00591-018-0233-8</a>.","ieee":"J. Hilgert, “Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical Society 2015,” <i>Mathematische Semesterberichte</i>, vol. 66. pp. 247–249, 2019, doi: <a href=\"https://doi.org/10.1007/s00591-018-0233-8\">10.1007/s00591-018-0233-8</a>.","apa":"Hilgert, J. (2019). Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical Society 2015. In <i>Mathematische Semesterberichte</i> (Vol. 66, pp. 247–249). <a href=\"https://doi.org/10.1007/s00591-018-0233-8\">https://doi.org/10.1007/s00591-018-0233-8</a>","short":"J. Hilgert, Mathematische Semesterberichte 66 (2019) 247–249.","mla":"Hilgert, Joachim. “Lizhen Ji Und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical Society 2015.” <i>Mathematische Semesterberichte</i>, vol. 66, 2019, pp. 247–249, doi:<a href=\"https://doi.org/10.1007/s00591-018-0233-8\">10.1007/s00591-018-0233-8</a>.","bibtex":"@article{Hilgert_2019, title={Lizhen Ji und Athanase Papadopoulos (Hrsg.): Sophus Lie and Felix Klein: The Erlangen Program and Its Impact in Mathematics and Physics. European Mathematical Society 2015}, volume={66}, DOI={<a href=\"https://doi.org/10.1007/s00591-018-0233-8\">10.1007/s00591-018-0233-8</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2019}, pages={247–249} }"},"year":"2019","department":[{"_id":"91"}],"user_id":"49063","_id":"51568","language":[{"iso":"eng"}],"publication":"Mathematische Semesterberichte","type":"review","status":"public"},{"status":"public","publication":"Mathematische Semesterberichte","type":"review","language":[{"iso":"eng"}],"department":[{"_id":"91"}],"user_id":"49063","_id":"51566","page":"261–262","intvolume":"        66","citation":{"ama":"Hilgert J. Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018. <i>Mathematische Semesterberichte</i>. 2019;66:261–262. doi:<a href=\"https://doi.org/10.1007/s00591-019-00251-6\">10.1007/s00591-019-00251-6</a>","ieee":"J. Hilgert, “Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018,” <i>Mathematische Semesterberichte</i>, vol. 66. pp. 261–262, 2019, doi: <a href=\"https://doi.org/10.1007/s00591-019-00251-6\">10.1007/s00591-019-00251-6</a>.","chicago":"Hilgert, Joachim. “Brian W. Kernighan: Millions Billions Zillions – Defending Yourself in a World of Too Many Numbers. Princeton University Press 2018.” <i>Mathematische Semesterberichte</i>, 2019. <a href=\"https://doi.org/10.1007/s00591-019-00251-6\">https://doi.org/10.1007/s00591-019-00251-6</a>.","apa":"Hilgert, J. (2019). Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018. In <i>Mathematische Semesterberichte</i> (Vol. 66, pp. 261–262). <a href=\"https://doi.org/10.1007/s00591-019-00251-6\">https://doi.org/10.1007/s00591-019-00251-6</a>","bibtex":"@article{Hilgert_2019, title={Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. Princeton University Press 2018}, volume={66}, DOI={<a href=\"https://doi.org/10.1007/s00591-019-00251-6\">10.1007/s00591-019-00251-6</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2019}, pages={261–262} }","mla":"Hilgert, Joachim. “Brian W. Kernighan: Millions Billions Zillions – Defending Yourself in a World of Too Many Numbers. Princeton University Press 2018.” <i>Mathematische Semesterberichte</i>, vol. 66, 2019, pp. 261–262, doi:<a href=\"https://doi.org/10.1007/s00591-019-00251-6\">10.1007/s00591-019-00251-6</a>.","short":"J. Hilgert, Mathematische Semesterberichte 66 (2019) 261–262."},"year":"2019","publication_status":"published","doi":"10.1007/s00591-019-00251-6","title":"Brian W. Kernighan: Millions billions zillions – defending yourself in a world of too many numbers. 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Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018). <i>Mathematische Semesterberichte </i>. 2019;66:257–258. doi:<a href=\"https://doi.org/10.1007/s00591-018-0234-7\">10.1007/s00591-018-0234-7</a>","apa":"Hilgert, J. (2019). Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018). In <i>Mathematische Semesterberichte </i> (Vol. 66, pp. 257–258). <a href=\"https://doi.org/10.1007/s00591-018-0234-7\">https://doi.org/10.1007/s00591-018-0234-7</a>","mla":"Hilgert, Joachim. “Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018).” <i>Mathematische Semesterberichte </i>, vol. 66, 2019, pp. 257–258, doi:<a href=\"https://doi.org/10.1007/s00591-018-0234-7\">10.1007/s00591-018-0234-7</a>.","short":"J. Hilgert, Mathematische Semesterberichte  66 (2019) 257–258.","bibtex":"@article{Hilgert_2019, title={Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018)}, volume={66}, DOI={<a href=\"https://doi.org/10.1007/s00591-018-0234-7\">10.1007/s00591-018-0234-7</a>}, journal={Mathematische Semesterberichte }, author={Hilgert, Joachim}, year={2019}, pages={257–258} }"},"date_updated":"2024-02-20T10:09:45Z","volume":66,"author":[{"first_name":"Joachim","full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert"}],"date_created":"2024-02-20T10:09:41Z","title":"Joseph Honerkamp: Denken in Strukturen und seine Geschichte – Von der Kraft des mathematischen Beweises (Springer 2018)","doi":"10.1007/s00591-018-0234-7","publication":"Mathematische Semesterberichte ","type":"review","status":"public","_id":"51567","department":[{"_id":"91"}],"user_id":"49063","language":[{"iso":"ger"}]},{"publication_status":"published","year":"2019","citation":{"chicago":"Hilgert, Joachim. “Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017).” <i>Mathematische Semesterberichte</i>, 2019. <a href=\"https://doi.org/10.1007/s00591-018-0226-7\">https://doi.org/10.1007/s00591-018-0226-7</a>.","ieee":"J. Hilgert, “Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017),” <i>Mathematische Semesterberichte</i>, vol. 66. pp. 127–129, 2019, doi: <a href=\"https://doi.org/10.1007/s00591-018-0226-7\">10.1007/s00591-018-0226-7</a>.","ama":"Hilgert J. Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017). <i>Mathematische Semesterberichte</i>. 2019;66:127-129. doi:<a href=\"https://doi.org/10.1007/s00591-018-0226-7\">10.1007/s00591-018-0226-7</a>","apa":"Hilgert, J. (2019). Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017). In <i>Mathematische Semesterberichte</i> (Vol. 66, pp. 127–129). <a href=\"https://doi.org/10.1007/s00591-018-0226-7\">https://doi.org/10.1007/s00591-018-0226-7</a>","mla":"Hilgert, Joachim. “Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017).” <i>Mathematische Semesterberichte</i>, vol. 66, 2019, pp. 127–29, doi:<a href=\"https://doi.org/10.1007/s00591-018-0226-7\">10.1007/s00591-018-0226-7</a>.","short":"J. Hilgert, Mathematische Semesterberichte 66 (2019) 127–129.","bibtex":"@article{Hilgert_2019, title={Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017)}, volume={66}, DOI={<a href=\"https://doi.org/10.1007/s00591-018-0226-7\">10.1007/s00591-018-0226-7</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2019}, pages={127–129} }"},"page":"127-129","intvolume":"        66","date_updated":"2024-02-20T10:12:40Z","author":[{"first_name":"Joachim","full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert"}],"date_created":"2024-02-20T10:12:36Z","volume":66,"title":"Øystein Linnebo: Philosophy of Mathematics (Princeton University Press 2017)","doi":"10.1007/s00591-018-0226-7","type":"review","publication":"Mathematische Semesterberichte","status":"public","_id":"51569","user_id":"49063","department":[{"_id":"91"}],"language":[{"iso":"eng"}]},{"date_updated":"2024-02-20T10:10:20Z","author":[{"first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim","id":"220"}],"date_created":"2024-02-20T10:07:28Z","volume":66,"title":"Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017","doi":"10.1007/s00591-019-00247-2","publication_status":"published","year":"2019","citation":{"apa":"Hilgert, J. (2019). Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017. In <i>Mathematische Semesterberichte</i> (Vol. 66, pp. 263–264). <a href=\"https://doi.org/10.1007/s00591-019-00247-2\">https://doi.org/10.1007/s00591-019-00247-2</a>","bibtex":"@article{Hilgert_2019, title={Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017}, volume={66}, DOI={<a href=\"https://doi.org/10.1007/s00591-019-00247-2\">10.1007/s00591-019-00247-2</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2019}, pages={263–264} }","short":"J. Hilgert, Mathematische Semesterberichte 66 (2019) 263–264.","mla":"Hilgert, Joachim. “Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017.” <i>Mathematische Semesterberichte</i>, vol. 66, 2019, pp. 263–264, doi:<a href=\"https://doi.org/10.1007/s00591-019-00247-2\">10.1007/s00591-019-00247-2</a>.","ama":"Hilgert J. Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017. <i>Mathematische Semesterberichte</i>. 2019;66:263–264. doi:<a href=\"https://doi.org/10.1007/s00591-019-00247-2\">10.1007/s00591-019-00247-2</a>","ieee":"J. Hilgert, “Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017,” <i>Mathematische Semesterberichte</i>, vol. 66. pp. 263–264, 2019, doi: <a href=\"https://doi.org/10.1007/s00591-019-00247-2\">10.1007/s00591-019-00247-2</a>.","chicago":"Hilgert, Joachim. “Jost-Hinrich Eschenburg: Sternstunden der Mathematik. Springer 2017.” <i>Mathematische Semesterberichte</i>, 2019. <a href=\"https://doi.org/10.1007/s00591-019-00247-2\">https://doi.org/10.1007/s00591-019-00247-2</a>."},"page":"263–264","intvolume":"        66","_id":"51565","user_id":"49063","department":[{"_id":"91"}],"language":[{"iso":"ger"}],"type":"review","publication":"Mathematische Semesterberichte","status":"public"},{"volume":143,"date_created":"2023-07-10T11:40:56Z","author":[{"first_name":"Balázs","id":"100441","full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács"},{"first_name":"Buyang","last_name":"Li","full_name":"Li, Buyang"},{"first_name":"Christian","last_name":"Lubich","full_name":"Lubich, Christian"}],"date_updated":"2024-04-03T09:21:40Z","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s00211-019-01074-2","title":"A convergent evolving finite element algorithm for mean curvature flow of closed surfaces","issue":"4","publication_identifier":{"issn":["0029-599X","0945-3245"]},"publication_status":"published","intvolume":"       143","page":"797-853","citation":{"short":"B. Kovács, B. Li, C. Lubich, Numerische Mathematik 143 (2019) 797–853.","bibtex":"@article{Kovács_Li_Lubich_2019, title={A convergent evolving finite element algorithm for mean curvature flow of closed surfaces}, volume={143}, DOI={<a href=\"https://doi.org/10.1007/s00211-019-01074-2\">10.1007/s00211-019-01074-2</a>}, number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2019}, pages={797–853} }","mla":"Kovács, Balázs, et al. “A Convergent Evolving Finite Element Algorithm for Mean Curvature Flow of Closed Surfaces.” <i>Numerische Mathematik</i>, vol. 143, no. 4, Springer Science and Business Media LLC, 2019, pp. 797–853, doi:<a href=\"https://doi.org/10.1007/s00211-019-01074-2\">10.1007/s00211-019-01074-2</a>.","apa":"Kovács, B., Li, B., &#38; Lubich, C. (2019). A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. <i>Numerische Mathematik</i>, <i>143</i>(4), 797–853. <a href=\"https://doi.org/10.1007/s00211-019-01074-2\">https://doi.org/10.1007/s00211-019-01074-2</a>","ieee":"B. Kovács, B. Li, and C. Lubich, “A convergent evolving finite element algorithm for mean curvature flow of closed surfaces,” <i>Numerische Mathematik</i>, vol. 143, no. 4, pp. 797–853, 2019, doi: <a href=\"https://doi.org/10.1007/s00211-019-01074-2\">10.1007/s00211-019-01074-2</a>.","chicago":"Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Evolving Finite Element Algorithm for Mean Curvature Flow of Closed Surfaces.” <i>Numerische Mathematik</i> 143, no. 4 (2019): 797–853. <a href=\"https://doi.org/10.1007/s00211-019-01074-2\">https://doi.org/10.1007/s00211-019-01074-2</a>.","ama":"Kovács B, Li B, Lubich C. A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. <i>Numerische Mathematik</i>. 2019;143(4):797-853. doi:<a href=\"https://doi.org/10.1007/s00211-019-01074-2\">10.1007/s00211-019-01074-2</a>"},"year":"2019","department":[{"_id":"841"}],"user_id":"100441","_id":"45948","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics"],"publication":"Numerische Mathematik","type":"journal_article","status":"public"},{"date_created":"2024-03-12T15:22:28Z","author":[{"first_name":"Gerda","id":"578","full_name":"Werth, Gerda","last_name":"Werth"}],"date_updated":"2024-04-09T11:06:08Z","publisher":"WTM","conference":{"location":"Regensburg","end_date":"2019-03-08","start_date":"2019-03-04","name":"Jahrestagung der Gesellschaft für Didaktik der Mathematik"},"title":"Mathilde Vaerting. Deutschlands erste Mathematikdidaktikderin","citation":{"apa":"Werth, G. (2019). Mathilde Vaerting. Deutschlands erste Mathematikdidaktikderin. In A. Frank, S. Krauss, &#38; K. Binder (Eds.), <i>Beiträge zum Mathematikunterricht</i>. WTM.","short":"G. Werth, in: A. Frank, S. Krauss, K. Binder (Eds.), Beiträge zum Mathematikunterricht, WTM, Münster, 2019.","bibtex":"@inproceedings{Werth_2019, place={Münster}, title={Mathilde Vaerting. Deutschlands erste Mathematikdidaktikderin}, booktitle={Beiträge zum Mathematikunterricht}, publisher={WTM}, author={Werth, Gerda}, editor={Frank, Andreas and Krauss, Stefan  and Binder, Karin}, year={2019} }","mla":"Werth, Gerda. “Mathilde Vaerting. Deutschlands erste Mathematikdidaktikderin.” <i>Beiträge zum Mathematikunterricht</i>, edited by Andreas Frank et al., WTM, 2019.","ama":"Werth G. Mathilde Vaerting. Deutschlands erste Mathematikdidaktikderin. In: Frank A, Krauss S, Binder K, eds. <i>Beiträge zum Mathematikunterricht</i>. WTM; 2019.","ieee":"G. Werth, “Mathilde Vaerting. Deutschlands erste Mathematikdidaktikderin,” in <i>Beiträge zum Mathematikunterricht</i>, Regensburg, 2019.","chicago":"Werth, Gerda. “Mathilde Vaerting. Deutschlands erste Mathematikdidaktikderin.” In <i>Beiträge zum Mathematikunterricht</i>, edited by Andreas Frank, Stefan  Krauss, and Karin Binder. Münster: WTM, 2019."},"year":"2019","place":"Münster","user_id":"578","department":[{"_id":"34"},{"_id":"10"},{"_id":"98"},{"_id":"360"}],"_id":"52510","language":[{"iso":"ger"}],"type":"conference","publication":"Beiträge zum Mathematikunterricht","status":"public","editor":[{"last_name":"Frank","full_name":"Frank, Andreas","first_name":"Andreas"},{"full_name":"Krauss, Stefan ","last_name":"Krauss","first_name":"Stefan "},{"first_name":"Karin","last_name":"Binder","full_name":"Binder, Karin"}]},{"title":"Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces","doi":"10.1093/imrn/rnz068","date_updated":"2024-04-11T12:36:33Z","publisher":"Oxford University Press (OUP)","date_created":"2024-04-11T12:33:46Z","author":[{"first_name":"Benjamin","full_name":"Küster, Benjamin","last_name":"Küster"},{"last_name":"Weich","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178","first_name":"Tobias"}],"volume":2021,"year":"2019","citation":{"apa":"Küster, B., &#38; Weich, T. (2019). 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>","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), 2019, pp. 8225–96, 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 (2019) 8225–8296.","bibtex":"@article{Küster_Weich_2019, 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={2019}, pages={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 (2019): 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, 2019, doi: <a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>.","ama":"Küster B, Weich T. Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. <i>International Mathematics Research Notices</i>. 2019;2021(11):8225-8296. doi:<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>"},"page":"8225-8296","intvolume":"      2021","publication_status":"published","publication_identifier":{"issn":["1073-7928","1687-0247"]},"issue":"11","keyword":["General Mathematics"],"language":[{"iso":"eng"}],"_id":"53416","user_id":"70575","department":[{"_id":"548"}],"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"}],"status":"public","type":"journal_article","publication":"International Mathematics Research Notices"},{"status":"public","publication":"In: Mathematik differenziert 3/2019","type":"journal_article","language":[{"iso":"ger"}],"_id":"33598","department":[{"_id":"463"},{"_id":"360"}],"user_id":"31132","year":"2019","page":"30-37","citation":{"ama":"Rezat S, Rezat S. „...weil man Fermi-Aufgaben so rechnet“. Modelltexte als sprachliche Ressource für das Erklären von Lösungswegen bei Fermi-Aufgaben. <i>In: Mathematik differenziert 3/2019</i>. Published online 2019:30-37.","chicago":"Rezat, Sara, and Sebastian Rezat. “„...weil man Fermi-Aufgaben so rechnet“. Modelltexte als sprachliche Ressource für das Erklären von Lösungswegen bei Fermi-Aufgaben.” <i>In: Mathematik differenziert 3/2019</i>, 2019, 30–37.","ieee":"S. Rezat and S. Rezat, “„...weil man Fermi-Aufgaben so rechnet“. Modelltexte als sprachliche Ressource für das Erklären von Lösungswegen bei Fermi-Aufgaben,” <i>In: Mathematik differenziert 3/2019</i>, pp. 30–37, 2019.","apa":"Rezat, S., &#38; Rezat, S. (2019). „...weil man Fermi-Aufgaben so rechnet“. Modelltexte als sprachliche Ressource für das Erklären von Lösungswegen bei Fermi-Aufgaben. <i>In: Mathematik differenziert 3/2019</i>, 30–37.","mla":"Rezat, Sara, and Sebastian Rezat. “„...weil man Fermi-Aufgaben so rechnet“. Modelltexte als sprachliche Ressource für das Erklären von Lösungswegen bei Fermi-Aufgaben.” <i>In: Mathematik differenziert 3/2019</i>, 2019, pp. 30–37.","bibtex":"@article{Rezat_Rezat_2019, title={„...weil man Fermi-Aufgaben so rechnet“. Modelltexte als sprachliche Ressource für das Erklären von Lösungswegen bei Fermi-Aufgaben}, journal={In: Mathematik differenziert 3/2019}, author={Rezat, Sara and Rezat, Sebastian}, year={2019}, pages={30–37} }","short":"S. Rezat, S. Rezat, In: Mathematik differenziert 3/2019 (2019) 30–37."},"title":"„...weil man Fermi-Aufgaben so rechnet“. Modelltexte als sprachliche Ressource für das Erklären von Lösungswegen bei Fermi-Aufgaben","date_updated":"2024-04-18T08:02:47Z","author":[{"first_name":"Sara","last_name":"Rezat","id":"58338","full_name":"Rezat, Sara"},{"last_name":"Rezat","id":"31132","full_name":"Rezat, Sebastian","first_name":"Sebastian"}],"date_created":"2022-10-09T22:08:36Z"},{"language":[{"iso":"eng"}],"user_id":"31132","department":[{"_id":"360"}],"_id":"44684","status":"public","editor":[{"first_name":"Gabriele","full_name":"Kaiser, Gabriele","last_name":"Kaiser"},{"first_name":"Norma","full_name":"Presmeg, Norma","last_name":"Presmeg"}],"type":"book_chapter","publication":"Compendium for Early Career Researchers in Mathematics Education","doi":"10.1007/978-3-030-15636-7_4","title":"An Introduction to Grounded Theory with a Special Focus on Axial Coding and the Coding Paradigm","date_created":"2023-05-09T13:46:15Z","author":[{"first_name":"Maike","full_name":"Vollstedt, Maike","last_name":"Vollstedt"},{"first_name":"Sebastian","last_name":"Rezat","full_name":"Rezat, Sebastian","id":"31132"}],"publisher":"Springer International Publishing","date_updated":"2024-04-18T08:24:46Z","citation":{"ieee":"M. Vollstedt and S. Rezat, “An Introduction to Grounded Theory with a Special Focus on Axial Coding and the Coding Paradigm,” in <i>Compendium for Early Career Researchers in Mathematics Education</i>, G. Kaiser and N. Presmeg, Eds. Cham: Springer International Publishing, 2019.","chicago":"Vollstedt, Maike, and Sebastian Rezat. “An Introduction to Grounded Theory with a Special Focus on Axial Coding and the Coding Paradigm.” In <i>Compendium for Early Career Researchers in Mathematics Education</i>, edited by Gabriele Kaiser and Norma Presmeg. Cham: Springer International Publishing, 2019. <a href=\"https://doi.org/10.1007/978-3-030-15636-7_4\">https://doi.org/10.1007/978-3-030-15636-7_4</a>.","ama":"Vollstedt M, Rezat S. An Introduction to Grounded Theory with a Special Focus on Axial Coding and the Coding Paradigm. In: Kaiser G, Presmeg N, eds. <i>Compendium for Early Career Researchers in Mathematics Education</i>. Springer International Publishing; 2019. doi:<a href=\"https://doi.org/10.1007/978-3-030-15636-7_4\">10.1007/978-3-030-15636-7_4</a>","short":"M. Vollstedt, S. Rezat, in: G. Kaiser, N. Presmeg (Eds.), Compendium for Early Career Researchers in Mathematics Education, Springer International Publishing, Cham, 2019.","mla":"Vollstedt, Maike, and Sebastian Rezat. “An Introduction to Grounded Theory with a Special Focus on Axial Coding and the Coding Paradigm.” <i>Compendium for Early Career Researchers in Mathematics Education</i>, edited by Gabriele Kaiser and Norma Presmeg, Springer International Publishing, 2019, doi:<a href=\"https://doi.org/10.1007/978-3-030-15636-7_4\">10.1007/978-3-030-15636-7_4</a>.","bibtex":"@inbook{Vollstedt_Rezat_2019, place={Cham}, title={An Introduction to Grounded Theory with a Special Focus on Axial Coding and the Coding Paradigm}, DOI={<a href=\"https://doi.org/10.1007/978-3-030-15636-7_4\">10.1007/978-3-030-15636-7_4</a>}, booktitle={Compendium for Early Career Researchers in Mathematics Education}, publisher={Springer International Publishing}, author={Vollstedt, Maike and Rezat, Sebastian}, editor={Kaiser, Gabriele and Presmeg, Norma}, year={2019} }","apa":"Vollstedt, M., &#38; Rezat, S. (2019). An Introduction to Grounded Theory with a Special Focus on Axial Coding and the Coding Paradigm. In G. Kaiser &#38; N. Presmeg (Eds.), <i>Compendium for Early Career Researchers in Mathematics Education</i>. Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-030-15636-7_4\">https://doi.org/10.1007/978-3-030-15636-7_4</a>"},"year":"2019","place":"Cham","publication_status":"published","publication_identifier":{"issn":["2520-8322","2520-8330"],"isbn":["9783030156350","9783030156367"]}},{"doi":"10.1007/s13394-019-00284-z","volume":32,"author":[{"full_name":"Wessel, Lena","id":"85190","last_name":"Wessel","first_name":"Lena"}],"date_updated":"2024-04-18T09:01:40Z","page":"653-681","intvolume":"        32","citation":{"apa":"Wessel, L. (2019). Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses. <i>Mathematics Education Research Journal</i>, <i>32</i>(4), 653–681. <a href=\"https://doi.org/10.1007/s13394-019-00284-z\">https://doi.org/10.1007/s13394-019-00284-z</a>","short":"L. Wessel, Mathematics Education Research Journal 32 (2019) 653–681.","mla":"Wessel, Lena. “Vocabulary in Learning Processes towards Conceptual Understanding of Equivalent Fractions—Specifying Students’ Language Demands on the Basis of Lexical Trace Analyses.” <i>Mathematics Education Research Journal</i>, vol. 32, no. 4, Springer Science and Business Media LLC, 2019, pp. 653–81, doi:<a href=\"https://doi.org/10.1007/s13394-019-00284-z\">10.1007/s13394-019-00284-z</a>.","bibtex":"@article{Wessel_2019, title={Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses}, volume={32}, DOI={<a href=\"https://doi.org/10.1007/s13394-019-00284-z\">10.1007/s13394-019-00284-z</a>}, number={4}, journal={Mathematics Education Research Journal}, publisher={Springer Science and Business Media LLC}, author={Wessel, Lena}, year={2019}, pages={653–681} }","chicago":"Wessel, Lena. “Vocabulary in Learning Processes towards Conceptual Understanding of Equivalent Fractions—Specifying Students’ Language Demands on the Basis of Lexical Trace Analyses.” <i>Mathematics Education Research Journal</i> 32, no. 4 (2019): 653–81. <a href=\"https://doi.org/10.1007/s13394-019-00284-z\">https://doi.org/10.1007/s13394-019-00284-z</a>.","ieee":"L. Wessel, “Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses,” <i>Mathematics Education Research Journal</i>, vol. 32, no. 4, pp. 653–681, 2019, doi: <a href=\"https://doi.org/10.1007/s13394-019-00284-z\">10.1007/s13394-019-00284-z</a>.","ama":"Wessel L. Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses. <i>Mathematics Education Research Journal</i>. 2019;32(4):653-681. doi:<a href=\"https://doi.org/10.1007/s13394-019-00284-z\">10.1007/s13394-019-00284-z</a>"},"publication_identifier":{"issn":["1033-2170","2211-050X"]},"publication_status":"published","department":[{"_id":"643"}],"user_id":"37888","_id":"46156","status":"public","type":"journal_article","title":"Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses","date_created":"2023-07-26T10:03:33Z","publisher":"Springer Science and Business Media LLC","year":"2019","issue":"4","language":[{"iso":"eng"}],"keyword":["Education","General Mathematics"],"abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Although the teaching of vocabulary in mathematics lessons is requested in content- and language-integrated lesson designs, the clarification of the specific lexical language demands is still an open question for many mathematical topics. In a content- and language-integrated lesson design towards understanding the concept of equivalent fractions, the vocabulary (words and phrases) used by 17 students has been analyzed with qualitative means of data analysis. The qualitative in-depth analyses underline the importance of meaning-related vocabulary for making structural relations between the fractions in view explicit. Quantitative analyses of inventoried vocabulary for the four categories “self-initiated by students,” “triggered by teaching material,” “triggered by teacher,” or “triggered by peers” show the relations of collective and autonomous vocabularies from which the students retrieve their lexical means in oral and written language production.</jats:p>","lang":"eng"}],"publication":"Mathematics Education Research Journal"},{"user_id":"37888","department":[{"_id":"643"}],"_id":"48320","language":[{"iso":"ger"}],"type":"book_chapter","publication":"Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell","status":"public","editor":[{"first_name":"J.","last_name":"Kreutz","full_name":"Kreutz, J."},{"full_name":"Leuders, Timo","last_name":"Leuders","first_name":"Timo"},{"last_name":"Hellmann","full_name":"Hellmann, T.","first_name":"T."}],"author":[{"first_name":"Timo","last_name":"Leuders","full_name":"Leuders, Timo"},{"full_name":"Wessel, Lena","id":"85190","last_name":"Wessel","first_name":"Lena"}],"date_created":"2023-10-19T09:24:24Z","date_updated":"2024-04-18T09:04:42Z","publisher":"Springer","title":"3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell","citation":{"chicago":"Leuders, Timo, and Lena Wessel. “3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell.” In <i>Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell</i>, edited by J. Kreutz, Timo Leuders, and T. Hellmann, 117–34. Wiesbaden: Springer, 2019.","ieee":"T. Leuders and L. Wessel, “3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell,” in <i>Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell</i>, J. Kreutz, T. Leuders, and T. Hellmann, Eds. Wiesbaden: Springer, 2019, pp. 117–134.","ama":"Leuders T, Wessel L. 3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell. In: Kreutz J, Leuders T, Hellmann T, eds. <i>Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell</i>. Springer; 2019:117-134.","short":"T. Leuders, L. Wessel, in: J. Kreutz, T. Leuders, T. Hellmann (Eds.), Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell, Springer, Wiesbaden, 2019, pp. 117–134.","bibtex":"@inbook{Leuders_Wessel_2019, place={Wiesbaden}, title={3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell}, booktitle={Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell}, publisher={Springer}, author={Leuders, Timo and Wessel, Lena}, editor={Kreutz, J. and Leuders, Timo and Hellmann, T.}, year={2019}, pages={117–134} }","mla":"Leuders, Timo, and Lena Wessel. “3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell.” <i>Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell</i>, edited by J. Kreutz et al., Springer, 2019, pp. 117–34.","apa":"Leuders, T., &#38; Wessel, L. (2019). 3.5 Kompetenzorientierte Didaktik der Analysis durch Orientierung an real-life tasks–Ein Beispiel für ein Lehrdesign nach dem 4C/ID-Modell. In J. Kreutz, T. Leuders, &#38; T. Hellmann (Eds.), <i>Professionsorientierung in der Lehrerbildung: Kompetenzorientiertes Lehren nach dem 4-Component-Instructional-Design-Modell</i> (pp. 117–134). Springer."},"page":"117-134","year":"2019","place":"Wiesbaden"},{"publisher":"WTM-Verlag","date_updated":"2024-04-18T09:08:38Z","date_created":"2023-10-23T07:50:59Z","volume":6,"title":"Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018","doi":"10.37626/ga9783959870986.0","publication_status":"published","publication_identifier":{"isbn":["9783959870986"]},"place":"Münster","year":"2019","citation":{"mla":"Klinger, Marcel, et al., editors. <i>Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018</i>. WTM-Verlag, 2019, doi:<a href=\"https://doi.org/10.37626/ga9783959870986.0\">10.37626/ga9783959870986.0</a>.","short":"M. Klinger, A. Schüler-Meyer, L. Wessel, eds., Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018, WTM-Verlag, Münster, 2019.","bibtex":"@book{Klinger_Schüler-Meyer_Wessel_2019, place={Münster}, series={Reihe Schriften zur Hochschuldidaktik Mathematik}, title={Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018}, volume={6}, DOI={<a href=\"https://doi.org/10.37626/ga9783959870986.0\">10.37626/ga9783959870986.0</a>}, publisher={WTM-Verlag}, year={2019}, collection={Reihe Schriften zur Hochschuldidaktik Mathematik} }","apa":"Klinger, M., Schüler-Meyer, A., &#38; Wessel, L. (Eds.). (2019). <i>Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018</i> (Vol. 6). WTM-Verlag. <a href=\"https://doi.org/10.37626/ga9783959870986.0\">https://doi.org/10.37626/ga9783959870986.0</a>","ama":"Klinger M, Schüler-Meyer A, Wessel L, eds. <i>Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018</i>. Vol 6. WTM-Verlag; 2019. doi:<a href=\"https://doi.org/10.37626/ga9783959870986.0\">10.37626/ga9783959870986.0</a>","chicago":"Klinger, Marcel, Alexander Schüler-Meyer, and Lena Wessel, eds. <i>Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018</i>. Vol. 6. Reihe Schriften zur Hochschuldidaktik Mathematik. Münster: WTM-Verlag, 2019. <a href=\"https://doi.org/10.37626/ga9783959870986.0\">https://doi.org/10.37626/ga9783959870986.0</a>.","ieee":"M. Klinger, A. Schüler-Meyer, and L. Wessel, Eds., <i>Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018</i>, vol. 6. Münster: WTM-Verlag, 2019."},"intvolume":"         6","_id":"48376","user_id":"37888","series_title":"Reihe Schriften zur Hochschuldidaktik Mathematik","department":[{"_id":"643"}],"alternative_title":["Beiträge zum gleichnamigen Symposium am 9. und 10. November 2018 an der Universität Duisburg-Essen"],"language":[{"iso":"ger"}],"type":"book_editor","editor":[{"full_name":"Klinger, Marcel","last_name":"Klinger","first_name":"Marcel"},{"first_name":"Alexander","full_name":"Schüler-Meyer, Alexander","last_name":"Schüler-Meyer"},{"first_name":"Lena","full_name":"Wessel, Lena","id":"85190","last_name":"Wessel"}],"abstract":[{"text":"<jats:p>„Vielfalt, die verbindet“ ist ein Leitmotiv, welches das Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2018 in Essen gut beschreibt. Zu diesem kamen Akteure von Fachhochschulen und Universitäten mit fachmathematischer wie fachdidaktischer Perspektive vom 9. bis 10. November zusammen, um die Problematik des Übergangs von Schule zu Hochschule im Kontext mathematischer Studiengänge zu diskutieren. Der vorliegende Band bündelt die vielfältigen Projekte und Forschungsaktivitäten rund um den Übergang Schule–Hochschule und zeigt Innovationen innerhalb der mathematischen Hochschullehre gleichermaßen praxisorientiert wie theoretisch fundiert auf. Neben drei Hauptbeiträgen von Bärbel Barzel, Frode Rønning sowie Nimet Sarikaya und Peter Furlan umfasst der Band weitere 13 Sektionsbeiträge, welche u. a. die nebenstehenden Schwerpunkte fokussieren. • Heranführen von Studierenden an hochschulmathematische Denk- und Arbeitsweisen • Anpassung von Strukturen und Aufgaben für einen konstruktiven Übergang von Schule zu Hochschule • Bewährte Unterstützungsmaßnahmen für ein erfolgreiches Selbstlernen, z. B. in Form von Peer Instruction. • Etablierte Flipped-Classroom- und Blended-Learning-Formate  • Messung vielfältiger Fähigkeitsprofile von Studierenden beim Eintritt in die Hochschule • Chancen der Digitalisierung nutzen: Lehren und Lernen mit digitalen Medien, z. B. mithilfe von Lernvideo oder durch dynamische Visualisierungen • Umgang mit zunehmender Heterogenität und unterschiedlichem Vorwissen auf Seite der Studierenden • Konzepte problembasierten Lernens in die Hochschullehre integrieren • Steigerung der Motivation von Studierenden • Umgang mit der doppelten Diskontinuität mathematischer Lehramtsstudiengänge</jats:p>","lang":"eng"}],"status":"public"},{"department":[{"_id":"643"}],"series_title":"Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11)","user_id":"37888","_id":"48409","language":[{"iso":"eng"}],"keyword":["Vocational education","language","percentages","scaffolding","design research"],"article_number":"hal-02409325","publication":"Eleventh Congress of the European Society for Research in Mathematics Education (CERME11)","type":"conference","status":"public","editor":[{"last_name":"Jankvist","full_name":"Jankvist, Uffe Thomas","first_name":"Uffe Thomas"},{"first_name":"Marja","full_name":"van den Heuvel-Panhuizen, Marja","last_name":"van den Heuvel-Panhuizen"},{"first_name":"Michiel","full_name":"Veldhuis, Michiel","last_name":"Veldhuis"}],"volume":"TWG07","author":[{"full_name":"Wessel, Lena","id":"85190","last_name":"Wessel","first_name":"Lena"}],"date_created":"2023-10-24T07:56:11Z","publisher":"Freudenthal Group","date_updated":"2024-04-18T09:19:16Z","main_file_link":[{"url":"https://hal.science/hal-02409325/"}],"title":"How theories of language-responsive mathematics can inform teaching designs for vocational mathematics","issue":"12","citation":{"short":"L. Wessel, in: U.T. Jankvist, M. van den Heuvel-Panhuizen, M. Veldhuis (Eds.), Eleventh Congress of the European Society for Research in Mathematics Education (CERME11), Freudenthal Group, Utrecht, Netherlands, 2019.","bibtex":"@inproceedings{Wessel_2019, place={Utrecht, Netherlands}, series={Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11)}, title={How theories of language-responsive mathematics can inform teaching designs for vocational mathematics}, volume={TWG07}, number={12hal-02409325}, booktitle={Eleventh Congress of the European Society for Research in Mathematics Education (CERME11)}, publisher={Freudenthal Group}, author={Wessel, Lena}, editor={Jankvist, Uffe Thomas and van den Heuvel-Panhuizen, Marja and Veldhuis, Michiel}, year={2019}, collection={Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11)} }","mla":"Wessel, Lena. “How Theories of Language-Responsive Mathematics Can Inform Teaching Designs for Vocational Mathematics.” <i>Eleventh Congress of the European Society for Research in Mathematics Education (CERME11)</i>, edited by Uffe Thomas Jankvist et al., vol. TWG07, no. 12, hal-02409325, Freudenthal Group, 2019.","apa":"Wessel, L. (2019). How theories of language-responsive mathematics can inform teaching designs for vocational mathematics. In U. T. Jankvist, M. van den Heuvel-Panhuizen, &#38; M. Veldhuis (Eds.), <i>Eleventh Congress of the European Society for Research in Mathematics Education (CERME11)</i> (hal-02409325; Vol. TWG07, Issue 12). Freudenthal Group.","ama":"Wessel L. How theories of language-responsive mathematics can inform teaching designs for vocational mathematics. In: Jankvist UT, van den Heuvel-Panhuizen M, Veldhuis M, eds. <i>Eleventh Congress of the European Society for Research in Mathematics Education (CERME11)</i>. Vol TWG07. Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11). Freudenthal Group; 2019.","ieee":"L. Wessel, “How theories of language-responsive mathematics can inform teaching designs for vocational mathematics,” in <i>Eleventh Congress of the European Society for Research in Mathematics Education (CERME11)</i>, 2019, vol. TWG07, no. 12.","chicago":"Wessel, Lena. “How Theories of Language-Responsive Mathematics Can Inform Teaching Designs for Vocational Mathematics.” In <i>Eleventh Congress of the European Society for Research in Mathematics Education (CERME11)</i>, edited by Uffe Thomas Jankvist, Marja van den Heuvel-Panhuizen, and Michiel Veldhuis, Vol. TWG07. Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11). Utrecht, Netherlands: Freudenthal Group, 2019."},"year":"2019","place":"Utrecht, Netherlands"}]