[{"department":[{"_id":"636"}],"publication_status":"published","external_id":{"arxiv":["2006.14172"]},"related_material":{"link":[{"url":"https://github.com/Christian-Offen/multisymplectic","relation":"software"}]},"title":"Backward error analysis for variational discretisations of partial differential equations","language":[{"iso":"eng"}],"date_updated":"2023-08-10T08:44:55Z","oa":"1","doi":"10.3934/jgm.2022014","file":[{"date_created":"2022-06-13T09:11:38Z","file_name":"2_BlendedBEASymmPDE.pdf","access_level":"open_access","title":"Backward error analysis for variational discretisations of PDEs","file_size":1507248,"creator":"coffen","file_id":"31859","relation":"main_file","description":"In backward error analysis, an approximate solution to an equa-\ntion is compared to the exact solution to a nearby ‘modified’ equation. In\nnumerical ordinary differential equations, the two agree up to any power of\nthe step size. If the differential equation has a geometric property then the\nmodified equation may share it. In this way, known properties of differential\nequations can be applied to the approximation. But for partial differential\nequations, the known modified equations are of higher order, limiting appli-\ncability of the theory. Therefore, we study symmetric solutions of discretized\npartial differential equations that arise from a discrete variational principle.\nThese symmetric solutions obey infinite-dimensional functional equations. We\nshow that these equations admit second-order modified equations which are\nHamiltonian and also possess first-order Lagrangians in modified coordinates.\nThe modified equation and its associated structures are computed explicitly\nfor the case of rotating travelling waves in the nonlinear wave equation.","content_type":"application/pdf","date_updated":"2022-06-13T09:11:38Z"}],"publisher":"AIMS","author":[{"last_name":"McLachlan","full_name":"McLachlan, Robert I","first_name":"Robert I"},{"id":"85279","last_name":"Offen","orcid":"https://orcid.org/0000-0002-5940-8057","full_name":"Offen, Christian","first_name":"Christian"}],"file_date_updated":"2022-06-13T09:11:38Z","publication":"Journal of Geometric Mechanics","status":"public","has_accepted_license":"1","date_created":"2020-10-06T16:33:19Z","volume":14,"article_type":"original","abstract":[{"lang":"eng","text":"In backward error analysis, an approximate solution to an equation is compared to the exact solution to a nearby ‘modified’ equation. In numerical ordinary differential equations, the two agree up to any power of the step size. If the differential equation has a geometric property then the modified equation may share it. In this way, known properties of differential equations can be applied to the approximation. But for partial differential equations, the known modified equations are of higher order, limiting applicability of the theory. Therefore, we study symmetric solutions of discretized\r\npartial differential equations that arise from a discrete variational principle. These symmetric solutions obey infinite-dimensional functional equations. We show that these equations admit second-order modified equations which are Hamiltonian and also possess first-order Lagrangians in modified coordinates. The modified equation and its associated structures are computed explicitly for the case of rotating travelling waves in the nonlinear wave equation."}],"user_id":"85279","ddc":["510"],"year":"2022","citation":{"bibtex":"@article{McLachlan_Offen_2022, title={Backward error analysis for variational discretisations of partial differential equations}, volume={14}, DOI={10.3934/jgm.2022014}, number={3}, journal={Journal of Geometric Mechanics}, publisher={AIMS}, author={McLachlan, Robert I and Offen, Christian}, year={2022}, pages={447–471} }","mla":"McLachlan, Robert I., and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial Differential Equations.” Journal of Geometric Mechanics, vol. 14, no. 3, AIMS, 2022, pp. 447–71, doi:10.3934/jgm.2022014.","ama":"McLachlan RI, Offen C. Backward error analysis for variational discretisations of partial differential equations. Journal of Geometric Mechanics. 2022;14(3):447-471. doi:10.3934/jgm.2022014","apa":"McLachlan, R. I., & Offen, C. (2022). Backward error analysis for variational discretisations of partial differential equations. Journal of Geometric Mechanics, 14(3), 447–471. https://doi.org/10.3934/jgm.2022014","chicago":"McLachlan, Robert I, and Christian Offen. “Backward Error Analysis for Variational Discretisations of Partial Differential Equations.” Journal of Geometric Mechanics 14, no. 3 (2022): 447–71. https://doi.org/10.3934/jgm.2022014.","ieee":"R. I. McLachlan and C. Offen, “Backward error analysis for variational discretisations of partial differential equations,” Journal of Geometric Mechanics, vol. 14, no. 3, pp. 447–471, 2022, doi: 10.3934/jgm.2022014.","short":"R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471."},"type":"journal_article","page":"447 - 471","intvolume":" 14","_id":"19941","issue":"3"},{"department":[{"_id":"636"}],"publication_status":"published","external_id":{"arxiv":["2108.02492"]},"title":"Symplectic integration of learned Hamiltonian systems","related_material":{"link":[{"relation":"software","description":"GitHub","url":"https://github.com/Christian-Offen/symplectic-shadow-integration"}]},"language":[{"iso":"eng"}],"date_updated":"2023-08-10T08:48:14Z","doi":"10.1063/5.0065913","oa":"1","file_date_updated":"2021-12-13T14:56:15Z","publication":"Chaos: An Interdisciplinary Journal of Nonlinear Science","quality_controlled":"1","author":[{"first_name":"Christian","orcid":"0000-0002-5940-8057","full_name":"Offen, Christian","last_name":"Offen","id":"85279"},{"id":"16494","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","first_name":"Sina"}],"publisher":"AIP","file":[{"access_level":"open_access","date_created":"2021-12-13T14:56:15Z","file_name":"SymplecticShadowIntegration_AIP.pdf","relation":"main_file","date_updated":"2021-12-13T14:56:15Z","content_type":"application/pdf","file_id":"28734","creator":"coffen","file_size":2285059}],"volume":"32(1)","date_created":"2021-08-11T08:24:02Z","has_accepted_license":"1","status":"public","abstract":[{"lang":"eng","text":"Hamiltonian systems are differential equations which describe systems in classical mechanics, plasma physics, and sampling problems. They exhibit many structural properties, such as a lack of attractors and the presence of conservation laws. To predict Hamiltonian dynamics based on discrete trajectory observations, incorporation of prior knowledge about Hamiltonian structure greatly improves predictions. This is typically done by learning the system's Hamiltonian and then integrating the Hamiltonian vector field with a symplectic integrator. For this, however, Hamiltonian data needs to be approximated based on the trajectory observations. Moreover, the numerical integrator introduces an additional discretisation error. In this paper, we show that an inverse modified Hamiltonian structure adapted to the geometric integrator can be learned directly from observations. A separate approximation step for the Hamiltonian data avoided. The inverse modified data compensates for the discretisation error such that the discretisation error is eliminated. The technique is developed for Gaussian Processes."}],"article_type":"original","ddc":["510"],"user_id":"85279","main_file_link":[{"url":"https://aip.scitation.org/doi/abs/10.1063/5.0065913","open_access":"1"}],"citation":{"chicago":"Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022). https://doi.org/10.1063/5.0065913.","ama":"Offen C, Ober-Blöbaum S. Symplectic integration of learned Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2022;32(1). doi:10.1063/5.0065913","apa":"Offen, C., & Ober-Blöbaum, S. (2022). Symplectic integration of learned Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 32(1). https://doi.org/10.1063/5.0065913","mla":"Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), AIP, 2022, doi:10.1063/5.0065913.","bibtex":"@article{Offen_Ober-Blöbaum_2022, title={Symplectic integration of learned Hamiltonian systems}, volume={32(1)}, DOI={10.1063/5.0065913}, journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, publisher={AIP}, author={Offen, Christian and Ober-Blöbaum, Sina}, year={2022} }","short":"C. Offen, S. Ober-Blöbaum, Chaos: An Interdisciplinary Journal of Nonlinear Science 32(1) (2022).","ieee":"C. Offen and S. Ober-Blöbaum, “Symplectic integration of learned Hamiltonian systems,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 32(1), 2022, doi: 10.1063/5.0065913."},"type":"journal_article","year":"2022","_id":"23382"},{"year":"2022","citation":{"short":"J. Dröse, in: Beiträge Zum Mathematikunterricht, 2022.","ieee":"J. Dröse, “Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen,” 2022.","ama":"Dröse J. Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen. In: Beiträge Zum Mathematikunterricht. ; 2022.","apa":"Dröse, J. (2022). Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen. Beiträge Zum Mathematikunterricht.","chicago":"Dröse, Jennifer. “Verstehensgrundlagen Diagnostizieren - Diagnostisches Denken von Drei Professionalisierungsgruppen.” In Beiträge Zum Mathematikunterricht, 2022.","mla":"Dröse, Jennifer. “Verstehensgrundlagen Diagnostizieren - Diagnostisches Denken von Drei Professionalisierungsgruppen.” Beiträge Zum Mathematikunterricht, 2022.","bibtex":"@inproceedings{Dröse_2022, title={Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen}, booktitle={Beiträge zum Mathematikunterricht}, author={Dröse, Jennifer}, year={2022} }"},"type":"conference","language":[{"iso":"eng"}],"date_updated":"2023-08-15T06:04:03Z","_id":"40613","department":[{"_id":"98"}],"publication":"Beiträge zum Mathematikunterricht","author":[{"full_name":"Dröse, Jennifer","first_name":"Jennifer","id":"85820","last_name":"Dröse"}],"date_created":"2023-01-27T19:00:01Z","status":"public","title":"Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen","user_id":"85820"},{"status":"public","date_created":"2023-09-27T10:01:52Z","author":[{"last_name":"Graf","id":"89837","first_name":"Lara Marie","full_name":"Graf, Lara Marie"},{"last_name":"Häsel-Weide","id":"60267","first_name":"Uta","full_name":"Häsel-Weide, Uta"},{"first_name":"Marcus","full_name":"Nührenbörger, Marcus","last_name":"Nührenbörger"},{"first_name":"Karina","full_name":"Höveler, Karina","last_name":"Höveler"}],"publication":"Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","department":[{"_id":"543"}],"user_id":"44184","title":"Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen","language":[{"iso":"eng"}],"citation":{"ieee":"L. M. Graf, U. Häsel-Weide, M. Nührenbörger, and K. Höveler, “Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen,” in Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Frankfurt am Main, 2022, pp. 773–776.","short":"L.M. Graf, U. Häsel-Weide, M. Nührenbörger, K. Höveler, in: IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, 2022, pp. 773–776.","bibtex":"@inproceedings{Graf_Häsel-Weide_Nührenbörger_Höveler_2022, title={Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen}, booktitle={Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, author={Graf, Lara Marie and Häsel-Weide, Uta and Nührenbörger, Marcus and Höveler, Karina}, editor={IDMI-Primar Goethe-Universität Frankfurt}, year={2022}, pages={773–776} }","mla":"Graf, Lara Marie, et al. “Lernwege von Fachfremd Unterrichtenden Lehrkräften Zur Ablösung Vom Zählenden Rechnen.” Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfurt, 2022, pp. 773–76.","chicago":"Graf, Lara Marie, Uta Häsel-Weide, Marcus Nührenbörger, and Karina Höveler. “Lernwege von Fachfremd Unterrichtenden Lehrkräften Zur Ablösung Vom Zählenden Rechnen.” In Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfurt, 773–76, 2022.","ama":"Graf LM, Häsel-Weide U, Nührenbörger M, Höveler K. Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen. In: IDMI-Primar Goethe-Universität Frankfurt, ed. Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. ; 2022:773-776.","apa":"Graf, L. M., Häsel-Weide, U., Nührenbörger, M., & Höveler, K. (2022). Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen. In IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (pp. 773–776)."},"year":"2022","type":"conference","page":"773-776","corporate_editor":["IDMI-Primar Goethe-Universität Frankfurt"],"_id":"47520","date_updated":"2023-09-27T10:02:12Z","conference":{"name":"56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","start_date":"29.08.2022","location":"Frankfurt am Main","end_date":"02.09.2022"}},{"status":"public","date_created":"2023-09-27T09:53:36Z","author":[{"full_name":"Schwerin, Imke","first_name":"Imke","id":"48912","last_name":"Schwerin"}],"department":[{"_id":"543"}],"publication":"Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","title":"Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis","user_id":"44184","year":"2022","citation":{"short":"I. Schwerin, in: IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, 2022, pp. 401–404.","ieee":"I. Schwerin, “Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis,” in Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Frankfurt am Main, 2022, pp. 401–404.","apa":"Schwerin, I. (2022). Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis. In IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (pp. 401–404).","ama":"Schwerin I. Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis. In: IDMI-Primar Goethe-Universität Frankfurt, ed. Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. ; 2022:401-404.","chicago":"Schwerin, Imke. “Verdoppeln Und Halbieren Im 2. Schuljahr - Vorgehensweisen Und Verständnis.” In Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfurt, 401–4, 2022.","mla":"Schwerin, Imke. “Verdoppeln Und Halbieren Im 2. Schuljahr - Vorgehensweisen Und Verständnis.” Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfurt, 2022, pp. 401–04.","bibtex":"@inproceedings{Schwerin_2022, title={Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis}, booktitle={Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, author={Schwerin, Imke}, editor={IDMI-Primar Goethe-Universität Frankfurt}, year={2022}, pages={401–404} }"},"type":"conference","page":"401-404","language":[{"iso":"eng"}],"corporate_editor":["IDMI-Primar Goethe-Universität Frankfurt"],"date_updated":"2023-09-27T09:54:00Z","_id":"47519","conference":{"end_date":"02.09.2022","start_date":"29.08.2022","name":"56. Jahrestagung der Gesellschaft für Didaktik der Mathematik","location":"Frankfurt am Main"}},{"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"publication":"Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education","author":[{"full_name":"Dellori, Anna","first_name":"Anna","last_name":"Dellori"},{"full_name":"Wessel, Lena","first_name":"Lena","id":"85190","last_name":"Wessel"}],"publisher":"MA","date_created":"2023-10-24T07:28:19Z","status":"public","editor":[{"last_name":"Karunakaran","full_name":"Karunakaran, S.S.","first_name":"S.S."},{"last_name":"Higgins","first_name":"A.","full_name":"Higgins, A."}],"place":"Boston","user_id":"37888","title":"Pre-service Teachers' Professional Development: Relating Abstract Algebra and School Algebra","language":[{"iso":"eng"}],"page":"1177","type":"book_chapter","year":"2022","citation":{"short":"A. Dellori, L. Wessel, in: S.S. Karunakaran, A. Higgins (Eds.), Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education, MA, Boston, 2022, p. 1177.","ieee":"A. Dellori and L. Wessel, “Pre-service Teachers’ Professional Development: Relating Abstract Algebra and School Algebra,” in Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education, S. S. Karunakaran and A. Higgins, Eds. Boston: MA, 2022, p. 1177.","apa":"Dellori, A., & Wessel, L. (2022). Pre-service Teachers’ Professional Development: Relating Abstract Algebra and School Algebra. In S. S. Karunakaran & A. Higgins (Eds.), Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education (p. 1177). MA.","ama":"Dellori A, Wessel L. Pre-service Teachers’ Professional Development: Relating Abstract Algebra and School Algebra. In: Karunakaran SS, Higgins A, eds. Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education. MA; 2022:1177.","chicago":"Dellori, Anna, and Lena Wessel. “Pre-Service Teachers’ Professional Development: Relating Abstract Algebra and School Algebra.” In Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education, edited by S.S. Karunakaran and A. Higgins, 1177. Boston: MA, 2022.","mla":"Dellori, Anna, and Lena Wessel. “Pre-Service Teachers’ Professional Development: Relating Abstract Algebra and School Algebra.” Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education, edited by S.S. Karunakaran and A. Higgins, MA, 2022, p. 1177.","bibtex":"@inbook{Dellori_Wessel_2022, place={Boston}, title={Pre-service Teachers’ Professional Development: Relating Abstract Algebra and School Algebra}, booktitle={Proceedings of the 24th Annual Conference on Research in Undergraduate Mathematics Education}, publisher={MA}, author={Dellori, Anna and Wessel, Lena}, editor={Karunakaran, S.S. and Higgins, A.}, year={2022}, pages={1177} }"},"_id":"48407","date_updated":"2023-10-24T07:28:22Z"},{"title":"Schreiben will gelernt sein: Schreiblerngelegenheiten adaptiv gestalten","user_id":"37888","author":[{"full_name":"Wessel, Lena","first_name":"Lena","id":"85190","last_name":"Wessel"},{"id":"85820","last_name":"Dröse","full_name":"Dröse, Jennifer","first_name":"Jennifer"}],"publication":"mathematik lehren","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"volume":233,"status":"public","date_created":"2023-10-24T07:33:17Z","intvolume":" 233","_id":"48408","date_updated":"2023-10-24T07:33:22Z","year":"2022","citation":{"ieee":"L. Wessel and J. Dröse, “Schreiben will gelernt sein: Schreiblerngelegenheiten adaptiv gestalten,” mathematik lehren, vol. 233, pp. 33–36, 2022.","short":"L. Wessel, J. Dröse, mathematik lehren 233 (2022) 33–36.","mla":"Wessel, Lena, and Jennifer Dröse. “Schreiben will gelernt sein: Schreiblerngelegenheiten adaptiv gestalten.” mathematik lehren, vol. 233, 2022, pp. 33–36.","bibtex":"@article{Wessel_Dröse_2022, title={Schreiben will gelernt sein: Schreiblerngelegenheiten adaptiv gestalten}, volume={233}, journal={mathematik lehren}, author={Wessel, Lena and Dröse, Jennifer}, year={2022}, pages={33–36} }","apa":"Wessel, L., & Dröse, J. (2022). Schreiben will gelernt sein: Schreiblerngelegenheiten adaptiv gestalten. mathematik lehren, 233, 33–36.","ama":"Wessel L, Dröse J. Schreiben will gelernt sein: Schreiblerngelegenheiten adaptiv gestalten. mathematik lehren. 2022;233:33-36.","chicago":"Wessel, Lena, and Jennifer Dröse. “Schreiben will gelernt sein: Schreiblerngelegenheiten adaptiv gestalten.” mathematik lehren 233 (2022): 33–36."},"type":"journal_article","page":"33-36","language":[{"iso":"ger"}]},{"page":"349-368","year":"2022","citation":{"ieee":"L. Wessel and T. Leuders, “Profession-Specific Curriculum Design in Mathematics Teacher Education: Connecting Disciplinary Practice to the Learning of Group Theory,” in Practice-Oriented Research in Tertiary Mathematics Education, R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winslow, Eds. Cham: Springer International Publishing, 2022, pp. 349–368.","short":"L. Wessel, T. Leuders, in: R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winslow (Eds.), Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, Cham, 2022, pp. 349–368.","mla":"Wessel, Lena, and Timo Leuders. “Profession-Specific Curriculum Design in Mathematics Teacher Education: Connecting Disciplinary Practice to the Learning of Group Theory.” Practice-Oriented Research in Tertiary Mathematics Education, edited by Rolf Biehler et al., Springer International Publishing, 2022, pp. 349–68, doi:10.1007/978-3-031-14175-1_17.","bibtex":"@inbook{Wessel_Leuders_2022, place={Cham}, title={Profession-Specific Curriculum Design in Mathematics Teacher Education: Connecting Disciplinary Practice to the Learning of Group Theory}, DOI={10.1007/978-3-031-14175-1_17}, booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer International Publishing}, author={Wessel, Lena and Leuders, Timo}, editor={Biehler, Rolf and Liebendörfer, Michael and Gueudet, G. and Rasmussen, C. and Winslow, C.}, year={2022}, pages={349–368} }","apa":"Wessel, L., & Leuders, T. (2022). Profession-Specific Curriculum Design in Mathematics Teacher Education: Connecting Disciplinary Practice to the Learning of Group Theory. In R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, & C. Winslow (Eds.), Practice-Oriented Research in Tertiary Mathematics Education (pp. 349–368). Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1_17","ama":"Wessel L, Leuders T. Profession-Specific Curriculum Design in Mathematics Teacher Education: Connecting Disciplinary Practice to the Learning of Group Theory. In: Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winslow C, eds. Practice-Oriented Research in Tertiary Mathematics Education. Springer International Publishing; 2022:349-368. doi:10.1007/978-3-031-14175-1_17","chicago":"Wessel, Lena, and Timo Leuders. “Profession-Specific Curriculum Design in Mathematics Teacher Education: Connecting Disciplinary Practice to the Learning of Group Theory.” In Practice-Oriented Research in Tertiary Mathematics Education, edited by Rolf Biehler, Michael Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winslow, 349–68. Cham: Springer International Publishing, 2022. https://doi.org/10.1007/978-3-031-14175-1_17."},"type":"book_chapter","language":[{"iso":"eng"}],"_id":"46160","date_updated":"2023-10-30T09:00:53Z","doi":"10.1007/978-3-031-14175-1_17","publication":"Practice-Oriented Research in Tertiary Mathematics Education","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"author":[{"last_name":"Wessel","id":"85190","first_name":"Lena","full_name":"Wessel, Lena"},{"last_name":"Leuders","first_name":"Timo","full_name":"Leuders, Timo"}],"publisher":"Springer International Publishing","publication_identifier":{"isbn":["9783031141744","9783031141751"],"issn":["1869-4918","1869-4926"]},"publication_status":"published","editor":[{"last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf"},{"full_name":"Liebendörfer, Michael","first_name":"Michael","last_name":"Liebendörfer"},{"last_name":"Gueudet","first_name":"G.","full_name":"Gueudet, G."},{"last_name":"Rasmussen","first_name":"C.","full_name":"Rasmussen, C."},{"full_name":"Winslow, C.","first_name":"C.","last_name":"Winslow"}],"date_created":"2023-07-26T10:34:02Z","status":"public","place":"Cham","title":"Profession-Specific Curriculum Design in Mathematics Teacher Education: Connecting Disciplinary Practice to the Learning of Group Theory","user_id":"37888"},{"citation":{"ieee":"A. Dellori and L. Wessel, “Entwicklung und Erprobung von professionsorientierten Lernumgebungen zur Wissensvernetzung in der Algebra,” Beiträge zum Mathematikunterricht 2022, pp. 665–668, 2022, doi: 10.17877/DE290R-23598.","short":"A. Dellori, L. Wessel, Beiträge zum Mathematikunterricht 2022 (2022) 665–668.","mla":"Dellori, Anna, and Lena Wessel. “Entwicklung und Erprobung von professionsorientierten Lernumgebungen zur Wissensvernetzung in der Algebra.” Beiträge zum Mathematikunterricht 2022, LibreCat University, 2022, pp. 665–68, doi:10.17877/DE290R-23598.","bibtex":"@article{Dellori_Wessel_2022, title={Entwicklung und Erprobung von professionsorientierten Lernumgebungen zur Wissensvernetzung in der Algebra}, DOI={10.17877/DE290R-23598}, journal={Beiträge zum Mathematikunterricht 2022}, publisher={LibreCat University}, author={Dellori, Anna and Wessel, Lena}, year={2022}, pages={665–668} }","apa":"Dellori, A., & Wessel, L. (2022). Entwicklung und Erprobung von professionsorientierten Lernumgebungen zur Wissensvernetzung in der Algebra. Beiträge zum Mathematikunterricht 2022, 665–668. https://doi.org/10.17877/DE290R-23598","ama":"Dellori A, Wessel L. Entwicklung und Erprobung von professionsorientierten Lernumgebungen zur Wissensvernetzung in der Algebra. Beiträge zum Mathematikunterricht 2022. 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Forschung und Praxis, edited by P. Kleine et al., 2022, pp. 209–25, doi:https://doi.org/10.1007/978-3-662-63214-7.","bibtex":"@inbook{Dröse_Neugebauer_Delucchi Danhier_Mertins_2022, title={Eye-Tracking Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer Strukturen}, DOI={https://doi.org/10.1007/978-3-662-63214-7}, booktitle={Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Forschung und Praxis}, author={Dröse, Jennifer and Neugebauer, P. and Delucchi Danhier, R. and Mertins, B.}, editor={Kleine, P. and Graulich, N. and Kuhn, J. and Schindler, M.}, year={2022}, pages={209–225} }","apa":"Dröse, J., Neugebauer, P., Delucchi Danhier, R., & Mertins, B. (2022). Eye-Tracking Studie zu Textaufgaben in Klasse 5: Bemerken und Interpretieren syntaktischer Strukturen. In P. Kleine, N. Graulich, J. Kuhn, & M. Schindler (Eds.), Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. 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