--- _id: '57613' author: - first_name: Sebastian full_name: Rezat, Sebastian id: '31132' last_name: Rezat citation: ama: 'Rezat S. Students’ instrumentalizations of hints and automated feedback in their task solution process when learning mathematics with a digital curriculum resource. In: Iannone P, Moons F, Drüke-Noe C, et al., eds. Proceedings of FAME 1 – Feedback & Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands). Utrecht University and ERME; 2024:262–269. doi:10.5281/zenodo.14231455' apa: Rezat, S. (2024). Students’ instrumentalizations of hints and automated feedback in their task solution process when learning mathematics with a digital curriculum resource. In P. Iannone, F. Moons, C. Drüke-Noe, E. Geraniou, F. Morselli, K. Klingbeil, M. Veldhuis, & S. Olsher (Eds.), Proceedings of FAME 1 – Feedback & Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands) (pp. 262–269). Utrecht University and ERME. https://doi.org/10.5281/zenodo.14231455 bibtex: '@inproceedings{Rezat_2024, place={Utrecht}, title={Students’ instrumentalizations of hints and automated feedback in their task solution process when learning mathematics with a digital curriculum resource}, DOI={10.5281/zenodo.14231455}, booktitle={Proceedings of FAME 1 – Feedback & Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands)}, publisher={Utrecht University and ERME}, author={Rezat, Sebastian}, editor={Iannone, Paola and Moons, Filip and Drüke-Noe, Christina and Geraniou, Eirini and Morselli, Francesca and Klingbeil, Katrin and Veldhuis, Michiel and Olsher, Shai}, year={2024}, pages={262–269} }' chicago: 'Rezat, Sebastian. “Students’ Instrumentalizations of Hints and Automated Feedback in Their Task Solution Process When Learning Mathematics with a Digital Curriculum Resource.” In Proceedings of FAME 1 – Feedback & Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands), edited by Paola Iannone, Filip Moons, Christina Drüke-Noe, Eirini Geraniou, Francesca Morselli, Katrin Klingbeil, Michiel Veldhuis, and Shai Olsher, 262–269. Utrecht: Utrecht University and ERME, 2024. https://doi.org/10.5281/zenodo.14231455.' ieee: 'S. Rezat, “Students’ instrumentalizations of hints and automated feedback in their task solution process when learning mathematics with a digital curriculum resource,” in Proceedings of FAME 1 – Feedback & Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands), 2024, pp. 262–269, doi: 10.5281/zenodo.14231455.' mla: Rezat, Sebastian. “Students’ Instrumentalizations of Hints and Automated Feedback in Their Task Solution Process When Learning Mathematics with a Digital Curriculum Resource.” Proceedings of FAME 1 – Feedback & Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands), edited by Paola Iannone et al., Utrecht University and ERME, 2024, pp. 262–269, doi:10.5281/zenodo.14231455. short: 'S. Rezat, in: P. Iannone, F. Moons, C. Drüke-Noe, E. Geraniou, F. Morselli, K. Klingbeil, M. Veldhuis, S. Olsher (Eds.), Proceedings of FAME 1 – Feedback & Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands), Utrecht University and ERME, Utrecht, 2024, pp. 262–269.' date_created: 2024-12-08T11:31:00Z date_updated: 2024-12-08T11:43:23Z ddc: - '370' department: - _id: '360' doi: 10.5281/zenodo.14231455 editor: - first_name: Paola full_name: Iannone, Paola last_name: Iannone - first_name: Filip full_name: Moons, Filip last_name: Moons - first_name: Christina full_name: Drüke-Noe, Christina last_name: Drüke-Noe - first_name: Eirini full_name: Geraniou, Eirini last_name: Geraniou - first_name: Francesca full_name: Morselli, Francesca last_name: Morselli - first_name: Katrin full_name: Klingbeil, Katrin last_name: Klingbeil - first_name: Michiel full_name: Veldhuis, Michiel last_name: Veldhuis - first_name: Shai full_name: Olsher, Shai last_name: Olsher file: - access_level: open_access content_type: application/pdf creator: srezat date_created: 2024-12-08T11:30:50Z date_updated: 2024-12-08T11:30:50Z file_id: '57614' file_name: Rezat_FAME1_2024.pdf file_size: 342331 relation: main_file file_date_updated: 2024-12-08T11:30:50Z has_accepted_license: '1' language: - iso: eng license: https://creativecommons.org/licenses/by-nd/3.0/ oa: '1' page: 262–269 place: Utrecht publication: Proceedings of FAME 1 – Feedback & Assessment in Mathematics Education (ETC 14), 5-7 June 2024, Utrecht (The Netherlands) publisher: Utrecht University and ERME status: public title: Students' instrumentalizations of hints and automated feedback in their task solution process when learning mathematics with a digital curriculum resource type: conference user_id: '31132' year: '2024' ... --- _id: '57895' abstract: - lang: eng text: "In our paper, we present a study in which we investigate which strategies pre-service teachers (PSTs) use to find and, if necessary, reject possible candidates for congruence theorems for quadrilaterals. This study was conducted before the PTSs attended a university geometry course. In this way, statements about learning prerequisites can be made. For the study, we analyzed group discussions of PSTs to identify typical approaches and evaluate them from a mathematical perspective. The results can be considered for the further development of courses for PSTs and generate hypotheses\r\nfor further research." author: - first_name: Max full_name: Hoffmann, Max id: '32202' last_name: Hoffmann orcid: 0000-0002-6964-7123 - first_name: Sarah full_name: Schlüter, Sarah last_name: Schlüter citation: ama: 'Hoffmann M, Schlüter S. How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals? In: González-Martín AS, Gueudet G, Florensa I, Lombard N, eds. Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024). Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM; 2024.' apa: Hoffmann, M., & Schlüter, S. (2024). How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals? In A. S. González-Martín, G. Gueudet, I. Florensa, & N. Lombard (Eds.), Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024). Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM. bibtex: '@inproceedings{Hoffmann_Schlüter_2024, place={Barcelona}, title={How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?}, booktitle={Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)}, publisher={Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM}, author={Hoffmann, Max and Schlüter, Sarah}, editor={González-Martín, Alejandro S. and Gueudet, Ghislaine and Florensa, Ignasi and Lombard, Nathan}, year={2024} }' chicago: 'Hoffmann, Max, and Sarah Schlüter. “How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?” In Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024), edited by Alejandro S. González-Martín, Ghislaine Gueudet, Ignasi Florensa, and Nathan Lombard. Barcelona: Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM, 2024.' ieee: M. Hoffmann and S. Schlüter, “How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?,” in Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024), 2024. mla: Hoffmann, Max, and Sarah Schlüter. “How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?” Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024), edited by Alejandro S. González-Martín et al., Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM, 2024. short: 'M. Hoffmann, S. Schlüter, in: A.S. González-Martín, G. Gueudet, I. Florensa, N. Lombard (Eds.), Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024), Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM, Barcelona, 2024.' date_created: 2025-01-02T10:45:53Z date_updated: 2025-01-02T10:45:59Z ddc: - '370' - '510' department: - _id: '97' - _id: '643' editor: - first_name: Alejandro S. full_name: González-Martín, Alejandro S. last_name: González-Martín - first_name: Ghislaine full_name: Gueudet, Ghislaine last_name: Gueudet - first_name: Ignasi full_name: Florensa, Ignasi last_name: Florensa - first_name: Nathan full_name: Lombard, Nathan last_name: Lombard file: - access_level: closed content_type: application/pdf creator: maxh date_created: 2025-01-02T10:42:21Z date_updated: 2025-01-02T10:42:21Z file_id: '57896' file_name: 2024_Hoffmann_Schlueter_CongruenceQuadrilaterals.pdf file_size: 315111 relation: main_file success: 1 file_date_updated: 2025-01-02T10:42:21Z has_accepted_license: '1' keyword: - Teachers’ and students’ practices at university level - Transition to - across and from university mathematics - Teaching and learning of specific topics in university mathematics - Congruence - Quadrilaterals language: - iso: eng main_file_link: - open_access: '1' url: https://indrum2024.sciencesconf.org/data/pages/Proceedings_INDRUM2024.pdf oa: '1' place: Barcelona publication: Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024) publication_status: published publisher: Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM quality_controlled: '1' status: public title: How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals? type: conference user_id: '32202' year: '2024' ... --- _id: '32097' author: - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 - first_name: Yannick full_name: Guedes Bonthonneau, Yannick last_name: Guedes Bonthonneau - first_name: Colin full_name: Guillarmou, Colin last_name: Guillarmou citation: ama: 'Weich T, Guedes Bonthonneau Y, Guillarmou C. SRB Measures of Anosov Actions. Journal of Differential Geometry. 2024;128:959-1026. doi: DOI: 10.4310/jdg/1729092452' apa: 'Weich, T., Guedes Bonthonneau, Y., & Guillarmou, C. (2024). SRB Measures of Anosov Actions. Journal of Differential Geometry, 128, 959–1026. https://doi.org/ DOI: 10.4310/jdg/1729092452' bibtex: '@article{Weich_Guedes Bonthonneau_Guillarmou_2024, title={SRB Measures of Anosov Actions}, volume={128}, DOI={ DOI: 10.4310/jdg/1729092452}, journal={Journal of Differential Geometry}, author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin}, year={2024}, pages={959–1026} }' chicago: 'Weich, Tobias, Yannick Guedes Bonthonneau, and Colin Guillarmou. “SRB Measures of Anosov Actions.” Journal of Differential Geometry 128 (2024): 959–1026. https://doi.org/ DOI: 10.4310/jdg/1729092452.' ieee: 'T. Weich, Y. Guedes Bonthonneau, and C. Guillarmou, “SRB Measures of Anosov Actions,” Journal of Differential Geometry, vol. 128, pp. 959–1026, 2024, doi: DOI: 10.4310/jdg/1729092452.' mla: 'Weich, Tobias, et al. “SRB Measures of Anosov Actions.” Journal of Differential Geometry, vol. 128, 2024, pp. 959–1026, doi: DOI: 10.4310/jdg/1729092452.' short: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, Journal of Differential Geometry 128 (2024) 959–1026. date_created: 2022-06-22T09:56:23Z date_updated: 2025-01-02T15:39:43Z ddc: - '510' department: - _id: '10' - _id: '623' - _id: '548' doi: ' DOI: 10.4310/jdg/1729092452' external_id: arxiv: - https://arxiv.org/abs/2103.12127 file: - access_level: open_access content_type: application/pdf creator: weich date_created: 2022-06-22T09:56:08Z date_updated: 2022-06-22T09:56:08Z file_id: '32098' file_name: 2103.12127.pdf file_size: 745870 relation: main_file file_date_updated: 2022-06-22T09:56:08Z has_accepted_license: '1' intvolume: ' 128' language: - iso: eng oa: '1' page: 959-1026 project: - _id: '358' grant_number: '491392403' name: TRR 358 - Geodätische Flüsse und Weyl Kammer Flüsse auf affinen Gebäuden (Teilprojekt B04) - _id: '355' grant_number: '422642921' name: Mikrolokale Methoden für hyperbolische Dynamiken publication: Journal of Differential Geometry status: public title: SRB Measures of Anosov Actions type: journal_article user_id: '49178' volume: 128 year: '2024' ... --- _id: '57952' author: - first_name: Elisa full_name: Lankeit, Elisa last_name: Lankeit - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler citation: ama: 'Lankeit E, Biehler R. Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene. In: Ebers P, Rösken F, Barzel B, Büchter A, Schacht F, Scherer P, eds. Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik. WTM-Verlag; 2024:1073-1076. doi:10.37626/GA9783959872782.0' apa: 'Lankeit, E., & Biehler, R. (2024). Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene. In P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, & P. Scherer (Eds.), Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik. (pp. 1073–1076). WTM-Verlag. https://doi.org/10.37626/GA9783959872782.0' bibtex: '@inbook{Lankeit_Biehler_2024, place={Münster}, title={Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene}, DOI={10.37626/GA9783959872782.0}, booktitle={Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.}, publisher={WTM-Verlag}, author={Lankeit, Elisa and Biehler, Rolf}, editor={Ebers, P. and Rösken, F. and Barzel, B. and Büchter, A. and Schacht, F. and Scherer, P.}, year={2024}, pages={1073–1076} }' chicago: 'Lankeit, Elisa, and Rolf Biehler. “Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene.” In Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik., edited by P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, 1073–76. Münster: WTM-Verlag, 2024. https://doi.org/10.37626/GA9783959872782.0.' ieee: 'E. Lankeit and R. Biehler, “Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene,” in Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik., P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, Eds. Münster: WTM-Verlag, 2024, pp. 1073–1076.' mla: 'Lankeit, Elisa, and Rolf Biehler. “Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene.” Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik., edited by P. Ebers et al., WTM-Verlag, 2024, pp. 1073–76, doi:10.37626/GA9783959872782.0.' short: 'E. Lankeit, R. Biehler, in: P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, P. Scherer (Eds.), Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik., WTM-Verlag, Münster, 2024, pp. 1073–1076.' date_created: 2025-01-06T11:19:48Z date_updated: 2025-01-06T11:19:55Z ddc: - '510' department: - _id: '363' doi: 10.37626/GA9783959872782.0 editor: - first_name: P. full_name: Ebers, P. last_name: Ebers - first_name: F. full_name: Rösken, F. last_name: Rösken - first_name: B. full_name: Barzel, B. last_name: Barzel - first_name: A. full_name: Büchter, A. last_name: Büchter - first_name: F. full_name: Schacht, F. last_name: Schacht - first_name: P. full_name: Scherer, P. last_name: Scherer file: - access_level: closed content_type: application/pdf creator: krueter date_created: 2025-01-06T11:19:31Z date_updated: 2025-01-06T11:19:31Z file_id: '57953' file_name: BzMU24_1073.pdf file_size: 514054 relation: main_file success: 1 file_date_updated: 2025-01-06T11:19:31Z has_accepted_license: '1' language: - iso: ger main_file_link: - url: https://doi.org/10.37626/GA9783959872782.0 page: 1073-1076 place: Münster publication: Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik. publisher: WTM-Verlag status: public title: 'Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene' type: book_chapter user_id: '37888' year: '2024' ... --- _id: '57950' author: - first_name: Yannik full_name: Fleischer, Yannik id: '42660' last_name: Fleischer orcid: https://orcid.org/0000-0003-0318-0329 - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler citation: ama: 'Fleischer Y, Biehler R. Intuitiver Zugang zu datenbasierten Entscheidungsbäumen. In: Ebers P, Rösken F, Barzel B, Büchter A, Schacht F, Scherer P, eds. Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik. WTM-Verlag; 2024:167-170. doi:10.37626/GA9783959872782.0' apa: Fleischer, Y., & Biehler, R. (2024). Intuitiver Zugang zu datenbasierten Entscheidungsbäumen. In P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, & P. Scherer (Eds.), Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik. (pp. 167–170). WTM-Verlag. https://doi.org/10.37626/GA9783959872782.0 bibtex: '@inbook{Fleischer_Biehler_2024, place={Münster}, title={Intuitiver Zugang zu datenbasierten Entscheidungsbäumen}, DOI={10.37626/GA9783959872782.0}, booktitle={Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.}, publisher={WTM-Verlag}, author={Fleischer, Yannik and Biehler, Rolf}, editor={Ebers, P. and Rösken, F. and Barzel, B. and Büchter, A. and Schacht, F. and Scherer, P.}, year={2024}, pages={167–170} }' chicago: 'Fleischer, Yannik, and Rolf Biehler. “Intuitiver Zugang zu datenbasierten Entscheidungsbäumen.” In Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik., edited by P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, 167–70. Münster: WTM-Verlag, 2024. https://doi.org/10.37626/GA9783959872782.0.' ieee: 'Y. Fleischer and R. Biehler, “Intuitiver Zugang zu datenbasierten Entscheidungsbäumen,” in Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik., P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, Eds. Münster: WTM-Verlag, 2024, pp. 167–170.' mla: Fleischer, Yannik, and Rolf Biehler. “Intuitiver Zugang zu datenbasierten Entscheidungsbäumen.” Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik., edited by P. Ebers et al., WTM-Verlag, 2024, pp. 167–70, doi:10.37626/GA9783959872782.0. short: 'Y. Fleischer, R. Biehler, in: P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, P. Scherer (Eds.), Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik., WTM-Verlag, Münster, 2024, pp. 167–170.' date_created: 2025-01-06T11:14:58Z date_updated: 2025-01-06T11:15:07Z ddc: - '510' department: - _id: '363' doi: 10.37626/GA9783959872782.0 editor: - first_name: P. full_name: Ebers, P. last_name: Ebers - first_name: F. full_name: Rösken, F. last_name: Rösken - first_name: B. full_name: Barzel, B. last_name: Barzel - first_name: A. full_name: Büchter, A. last_name: Büchter - first_name: F. full_name: Schacht, F. last_name: Schacht - first_name: P. full_name: Scherer, P. last_name: Scherer file: - access_level: closed content_type: application/pdf creator: krueter date_created: 2025-01-06T11:14:34Z date_updated: 2025-01-06T11:14:34Z file_id: '57951' file_name: BzMU24_167.pdf file_size: 2075329 relation: main_file success: 1 file_date_updated: 2025-01-06T11:14:34Z has_accepted_license: '1' language: - iso: ger main_file_link: - url: https://doi.org/10.37626/GA9783959872782.0 page: 167-170 place: Münster publication: Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik. publisher: WTM-Verlag status: public title: Intuitiver Zugang zu datenbasierten Entscheidungsbäumen type: book_chapter user_id: '37888' year: '2024' ... --- _id: '57948' author: - first_name: Tobias full_name: Mai, Tobias last_name: Mai - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler citation: ama: 'Mai T, Biehler R. Transitionen zwischen Vektorobjekten in Schulbüchern. In: Ebers P, Rösken F, Barzel B, Büchter A, Schacht F, Scherer P, eds. Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik. WTM-Verlag; 2024:1103-1106. doi:10.37626/GA9783959872782.0' apa: Mai, T., & Biehler, R. (2024). Transitionen zwischen Vektorobjekten in Schulbüchern. In P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, & P. Scherer (Eds.), Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik. (pp. 1103–1106). WTM-Verlag. https://doi.org/10.37626/GA9783959872782.0 bibtex: '@inbook{Mai_Biehler_2024, place={Münster}, title={Transitionen zwischen Vektorobjekten in Schulbüchern}, DOI={10.37626/GA9783959872782.0}, booktitle={Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.}, publisher={WTM-Verlag}, author={Mai, Tobias and Biehler, Rolf}, editor={Ebers, P. and Rösken, F. and Barzel, B. and Büchter, A. and Schacht, F. and Scherer, P.}, year={2024}, pages={1103–1106} }' chicago: 'Mai, Tobias, and Rolf Biehler. “Transitionen zwischen Vektorobjekten in Schulbüchern.” In Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik., edited by P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, 1103–6. Münster: WTM-Verlag, 2024. https://doi.org/10.37626/GA9783959872782.0.' ieee: 'T. Mai and R. Biehler, “Transitionen zwischen Vektorobjekten in Schulbüchern,” in Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik., P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, Eds. Münster: WTM-Verlag, 2024, pp. 1103–1106.' mla: Mai, Tobias, and Rolf Biehler. “Transitionen zwischen Vektorobjekten in Schulbüchern.” Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik., edited by P. Ebers et al., WTM-Verlag, 2024, pp. 1103–06, doi:10.37626/GA9783959872782.0. short: 'T. Mai, R. Biehler, in: P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, P. Scherer (Eds.), Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik., WTM-Verlag, Münster, 2024, pp. 1103–1106.' date_created: 2025-01-06T11:10:31Z date_updated: 2025-01-06T11:16:00Z ddc: - '510' department: - _id: '363' doi: 10.37626/GA9783959872782.0 editor: - first_name: P. full_name: Ebers, P. last_name: Ebers - first_name: F. full_name: Rösken, F. last_name: Rösken - first_name: B. full_name: Barzel, B. last_name: Barzel - first_name: A. full_name: Büchter, A. last_name: Büchter - first_name: F. full_name: Schacht, F. last_name: Schacht - first_name: P. full_name: Scherer, P. last_name: Scherer file: - access_level: closed content_type: application/pdf creator: krueter date_created: 2025-01-06T11:10:08Z date_updated: 2025-01-06T11:10:08Z file_id: '57949' file_name: BzMU24_1103.pdf file_size: 557171 relation: main_file success: 1 file_date_updated: 2025-01-06T11:10:08Z has_accepted_license: '1' language: - iso: ger main_file_link: - url: https://doi.org/10.37626/GA9783959872782.0 page: 1103-1106 place: Münster publication: Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik. publisher: WTM-Verlag status: public title: Transitionen zwischen Vektorobjekten in Schulbüchern type: book_chapter user_id: '37888' year: '2024' ... --- _id: '57947' author: - first_name: Thomas full_name: Bauer, Thomas last_name: Bauer - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Elisa full_name: Lankeit, Elisa last_name: Lankeit citation: ama: 'Bauer T, Biehler R, Lankeit E. Designing a Concept Inventory for Real Analysis. In: Gonzalez-Martin AS, Gueudet G, Florensa I, Lombard N, eds. INDRUM2024 PROCEEDINGS - Fifth Conference of the International Network for Didactic Research in University Mathematics. Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM; 2024:65-74.' apa: Bauer, T., Biehler, R., & Lankeit, E. (2024). Designing a Concept Inventory for Real Analysis. In A. S. Gonzalez-Martin, G. Gueudet, I. Florensa, & N. Lombard (Eds.), INDRUM2024 PROCEEDINGS - Fifth conference of the International Network for Didactic Research in University Mathematics (pp. 65–74). Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM. bibtex: '@inbook{Bauer_Biehler_Lankeit_2024, title={Designing a Concept Inventory for Real Analysis}, booktitle={INDRUM2024 PROCEEDINGS - Fifth conference of the International Network for Didactic Research in University Mathematics}, publisher={Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM}, author={Bauer, Thomas and Biehler, Rolf and Lankeit, Elisa}, editor={Gonzalez-Martin, A. S. and Gueudet, G. and Florensa, I. and Lombard, N.}, year={2024}, pages={65–74} }' chicago: Bauer, Thomas, Rolf Biehler, and Elisa Lankeit. “Designing a Concept Inventory for Real Analysis.” In INDRUM2024 PROCEEDINGS - Fifth Conference of the International Network for Didactic Research in University Mathematics, edited by A. S. Gonzalez-Martin, G. Gueudet, I. Florensa, and N. Lombard, 65–74. Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM, 2024. ieee: T. Bauer, R. Biehler, and E. Lankeit, “Designing a Concept Inventory for Real Analysis,” in INDRUM2024 PROCEEDINGS - Fifth conference of the International Network for Didactic Research in University Mathematics, A. S. Gonzalez-Martin, G. Gueudet, I. Florensa, and N. Lombard, Eds. Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM, 2024, pp. 65–74. mla: Bauer, Thomas, et al. “Designing a Concept Inventory for Real Analysis.” INDRUM2024 PROCEEDINGS - Fifth Conference of the International Network for Didactic Research in University Mathematics, edited by A. S. Gonzalez-Martin et al., Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM, 2024, pp. 65–74. short: 'T. Bauer, R. Biehler, E. Lankeit, in: A.S. Gonzalez-Martin, G. Gueudet, I. Florensa, N. Lombard (Eds.), INDRUM2024 PROCEEDINGS - Fifth Conference of the International Network for Didactic Research in University Mathematics, Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM, 2024, pp. 65–74.' date_created: 2025-01-06T10:56:52Z date_updated: 2025-01-06T11:00:23Z department: - _id: '363' editor: - first_name: A. S. full_name: Gonzalez-Martin, A. S. last_name: Gonzalez-Martin - first_name: G. full_name: Gueudet, G. last_name: Gueudet - first_name: I. full_name: Florensa, I. last_name: Florensa - first_name: N. full_name: Lombard, N. last_name: Lombard language: - iso: eng main_file_link: - url: https://research.utwente.nl/files/443812185/PreProceedings_INDRUM2024_comprimido.pdf#page=11 page: 65-74 publication: INDRUM2024 PROCEEDINGS - Fifth conference of the International Network for Didactic Research in University Mathematics publisher: Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM status: public title: Designing a Concept Inventory for Real Analysis type: book_chapter user_id: '37888' year: '2024' ... --- _id: '55666' author: - first_name: Lena full_name: Wessel, Lena id: '85190' last_name: Wessel - first_name: Anna full_name: Dellori, Anna id: '57818' last_name: Dellori citation: ama: 'Wessel L, Dellori A. Algebraische Konzepte vertiefen und ihre Zusammenhänge im Schul- und Hoch-schulcurriculum verstehen lernen : Design-Prinzipien zur Anregung des Vereinheitlichens mathematischen Wissens im Mathematiklehramtsstudium. Mathematica Didactica. 2024;47(1). doi:10.18716/ojs/md/2024.1658' apa: 'Wessel, L., & Dellori, A. (2024). Algebraische Konzepte vertiefen und ihre Zusammenhänge im Schul- und Hoch-schulcurriculum verstehen lernen : Design-Prinzipien zur Anregung des Vereinheitlichens mathematischen Wissens im Mathematiklehramtsstudium. Mathematica Didactica, 47(1). https://doi.org/10.18716/ojs/md/2024.1658' bibtex: '@article{Wessel_Dellori_2024, title={Algebraische Konzepte vertiefen und ihre Zusammenhänge im Schul- und Hoch-schulcurriculum verstehen lernen : Design-Prinzipien zur Anregung des Vereinheitlichens mathematischen Wissens im Mathematiklehramtsstudium}, volume={47}, DOI={10.18716/ojs/md/2024.1658}, number={1}, journal={Mathematica Didactica}, author={Wessel, Lena and Dellori, Anna}, year={2024} }' chicago: 'Wessel, Lena, and Anna Dellori. “Algebraische Konzepte vertiefen und ihre Zusammenhänge im Schul- und Hoch-schulcurriculum verstehen lernen : Design-Prinzipien zur Anregung des Vereinheitlichens mathematischen Wissens im Mathematiklehramtsstudium.” Mathematica Didactica 47, no. 1 (2024). https://doi.org/10.18716/ojs/md/2024.1658.' ieee: 'L. Wessel and A. Dellori, “Algebraische Konzepte vertiefen und ihre Zusammenhänge im Schul- und Hoch-schulcurriculum verstehen lernen : Design-Prinzipien zur Anregung des Vereinheitlichens mathematischen Wissens im Mathematiklehramtsstudium,” Mathematica Didactica, vol. 47, no. 1, 2024, doi: 10.18716/ojs/md/2024.1658.' mla: 'Wessel, Lena, and Anna Dellori. “Algebraische Konzepte vertiefen und ihre Zusammenhänge im Schul- und Hoch-schulcurriculum verstehen lernen : Design-Prinzipien zur Anregung des Vereinheitlichens mathematischen Wissens im Mathematiklehramtsstudium.” Mathematica Didactica, vol. 47, no. 1, 2024, doi:10.18716/ojs/md/2024.1658.' short: L. Wessel, A. Dellori, Mathematica Didactica 47 (2024). date_created: 2024-08-21T09:57:12Z date_updated: 2025-01-06T11:57:25Z department: - _id: '643' doi: 10.18716/ojs/md/2024.1658 intvolume: ' 47' issue: '1' language: - iso: ger main_file_link: - url: https://journals.ub.uni-koeln.de/index.php/mathematica_didactica/article/view/1658 publication: Mathematica Didactica publication_status: published status: public title: 'Algebraische Konzepte vertiefen und ihre Zusammenhänge im Schul- und Hoch-schulcurriculum verstehen lernen : Design-Prinzipien zur Anregung des Vereinheitlichens mathematischen Wissens im Mathematiklehramtsstudium' type: journal_article user_id: '37888' volume: 47 year: '2024' ... --- _id: '58851' author: - first_name: Lea full_name: Stallmeister, Lea id: '63369' last_name: Stallmeister - first_name: Sebastian full_name: Rezat, Sebastian id: '31132' last_name: Rezat citation: ama: 'Stallmeister L, Rezat S. Ressourcennutzung von Schüler:innen zum Lernen von Mathematik. In: Ebers P, Rösken F, Barzel B, Büchter A, Schacht F, Scherer P, eds. Beiträge Zum Mathematikunterricht 2024 - 57. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. WTM-Verlag; 2024:1365-1368. doi:10.37626/GA9783959872782.0' apa: Stallmeister, L., & Rezat, S. (2024). Ressourcennutzung von Schüler:innen zum Lernen von Mathematik. In P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, & P. Scherer (Eds.), Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik (pp. 1365–1368). WTM-Verlag. https://doi.org/10.37626/GA9783959872782.0 bibtex: '@inproceedings{Stallmeister_Rezat_2024, place={Münster}, title={Ressourcennutzung von Schüler:innen zum Lernen von Mathematik}, DOI={10.37626/GA9783959872782.0}, booktitle={Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM-Verlag}, author={Stallmeister, Lea and Rezat, Sebastian}, editor={Ebers, Patrick and Rösken, Fabian and Barzel, Bärbel and Büchter, Andreas and Schacht, Florian and Scherer, Petra}, year={2024}, pages={1365–1368} }' chicago: 'Stallmeister, Lea, and Sebastian Rezat. “Ressourcennutzung von Schüler:Innen Zum Lernen von Mathematik.” In Beiträge Zum Mathematikunterricht 2024 - 57. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by Patrick Ebers, Fabian Rösken, Bärbel Barzel, Andreas Büchter, Florian Schacht, and Petra Scherer, 1365–68. Münster: WTM-Verlag, 2024. https://doi.org/10.37626/GA9783959872782.0.' ieee: 'L. Stallmeister and S. Rezat, “Ressourcennutzung von Schüler:innen zum Lernen von Mathematik,” in Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik, 2024, pp. 1365–1368, doi: 10.37626/GA9783959872782.0.' mla: Stallmeister, Lea, and Sebastian Rezat. “Ressourcennutzung von Schüler:Innen Zum Lernen von Mathematik.” Beiträge Zum Mathematikunterricht 2024 - 57. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by Patrick Ebers et al., WTM-Verlag, 2024, pp. 1365–68, doi:10.37626/GA9783959872782.0. short: 'L. Stallmeister, S. Rezat, in: P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, P. Scherer (Eds.), Beiträge Zum Mathematikunterricht 2024 - 57. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM-Verlag, Münster, 2024, pp. 1365–1368.' date_created: 2025-02-26T08:53:50Z date_updated: 2025-02-26T13:48:53Z department: - _id: '360' doi: 10.37626/GA9783959872782.0 editor: - first_name: Patrick full_name: Ebers, Patrick last_name: Ebers - first_name: Fabian full_name: Rösken, Fabian last_name: Rösken - first_name: Bärbel full_name: Barzel, Bärbel last_name: Barzel - first_name: Andreas full_name: Büchter, Andreas last_name: Büchter - first_name: Florian full_name: Schacht, Florian last_name: Schacht - first_name: Petra full_name: Scherer, Petra last_name: Scherer language: - iso: eng main_file_link: - open_access: '1' url: http://dx.doi.org/10.17877/DE290R-24938 oa: '1' page: 1365-1368 place: Münster publication: Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik publisher: WTM-Verlag status: public title: Ressourcennutzung von Schüler:innen zum Lernen von Mathematik type: conference user_id: '63369' year: '2024' ... --- _id: '58216' abstract: - lang: eng text: AnnoPy ist ein digitales Werkzeug, das an der Universität Paderborn in einer interdisziplinären Kooperation zwischen der Germanistischen Sprachdidaktik, Mathematikdidaktik und Informatikdidaktik entwickelt wurde, um wissenschaftliche Textkompetenzen zu fördern. Es kann in Präsenz- oder Blended-Learning-Szenarien eingesetzt werden, um eine Brücke zwischen individueller Auseinandersetzung mit dem Text und dessen sozial-diskursiver Aushandlung zu schlagen. Im Beitrag werden unterschiedliche Einsatzszenarien aus den drei beteiligten Disziplinen exemplarisch dargestellt, die jeweils unterschiedliche Facetten wissenschaftlicher Textkompetenz in den Mittelpunkt stellen. Im Fokus stehen dabei insbesondere die Förderung fachspezifischer Lesekompetenz im Rahmen einer Vorlesung mit großen Teilnehmendenzahlen sowie die Anwendung fachspezifischer Theorien und Konzepte in der Erschließung, Analyse und Beurteilung von Texten. author: - first_name: Sebastian full_name: Rezat, Sebastian id: '31132' last_name: Rezat - first_name: Sara full_name: Rezat, Sara id: '58338' last_name: Rezat - first_name: Oliver full_name: Scholle, Oliver id: '15099' last_name: Scholle - first_name: Carsten full_name: Schulte, Carsten id: '60311' last_name: Schulte - first_name: Felix full_name: Winkelnkemper, Felix last_name: Winkelnkemper citation: ama: 'Rezat S, Rezat S, Scholle O, Schulte C, Winkelnkemper F. AnnoPy. Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern. In: Herzig B, Eickelmann B, Schwabl F, Schulze J, Niemann J, eds. Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven. Waxmann; 2024:219–230. doi:10.31244/9783830998372' apa: Rezat, S., Rezat, S., Scholle, O., Schulte, C., & Winkelnkemper, F. (2024). AnnoPy. Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern. In B. Herzig, B. Eickelmann, F. Schwabl, J. Schulze, & J. Niemann (Eds.), Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven (pp. 219–230). Waxmann. https://doi.org/10.31244/9783830998372 bibtex: '@inbook{Rezat_Rezat_Scholle_Schulte_Winkelnkemper_2024, place={Münster}, title={AnnoPy. Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern}, DOI={10.31244/9783830998372}, booktitle={Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven}, publisher={Waxmann}, author={Rezat, Sebastian and Rezat, Sara and Scholle, Oliver and Schulte, Carsten and Winkelnkemper, Felix}, editor={Herzig, Bardo and Eickelmann, Birgit and Schwabl, Franziska and Schulze, Johanna and Niemann, Jan}, year={2024}, pages={219–230} }' chicago: 'Rezat, Sebastian, Sara Rezat, Oliver Scholle, Carsten Schulte, and Felix Winkelnkemper. “AnnoPy. Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern.” In Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven, edited by Bardo Herzig, Birgit Eickelmann, Franziska Schwabl, Johanna Schulze, and Jan Niemann, 219–230. Münster: Waxmann, 2024. https://doi.org/10.31244/9783830998372.' ieee: 'S. Rezat, S. Rezat, O. Scholle, C. Schulte, and F. Winkelnkemper, “AnnoPy. Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern,” in Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven, B. Herzig, B. Eickelmann, F. Schwabl, J. Schulze, and J. Niemann, Eds. Münster: Waxmann, 2024, pp. 219–230.' mla: Rezat, Sebastian, et al. “AnnoPy. Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern.” Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven, edited by Bardo Herzig et al., Waxmann, 2024, pp. 219–230, doi:10.31244/9783830998372. short: 'S. Rezat, S. Rezat, O. Scholle, C. Schulte, F. Winkelnkemper, in: B. Herzig, B. Eickelmann, F. Schwabl, J. Schulze, J. Niemann (Eds.), Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven, Waxmann, Münster, 2024, pp. 219–230.' date_created: 2025-01-16T14:40:04Z date_updated: 2025-03-04T08:49:32Z department: - _id: '360' doi: 10.31244/9783830998372 editor: - first_name: Bardo full_name: Herzig, Bardo last_name: Herzig - first_name: Birgit full_name: Eickelmann, Birgit last_name: Eickelmann - first_name: Franziska full_name: Schwabl, Franziska last_name: Schwabl - first_name: Johanna full_name: Schulze, Johanna last_name: Schulze - first_name: Jan full_name: Niemann, Jan last_name: Niemann keyword: - digitale Medien - wissenschaftliche Textkompetenz - Lehrkonzept language: - iso: ger main_file_link: - open_access: '1' url: https://www.waxmann.com/index.php?eID=download&buchnr=4837 oa: '1' page: 219–230 place: Münster publication: Lehrkräftebildung in der digitalen Welt. Zukunftsorientierte Forschungs- und Praxisperspektiven publication_identifier: isbn: - '9783830948377' publication_status: published publisher: Waxmann quality_controlled: '1' status: public title: AnnoPy. Fachspezifische wissenschaftliche Textkompetenzen mit digitalen Medien in der Lehre fördern type: book_chapter user_id: '58338' year: '2024' ... --- _id: '59171' abstract: - lang: eng text: To model dynamical systems on networks with higher-order (non-pairwise) interactions, we recently introduced a new class of ordinary differential equations (ODEs) on hypernetworks. Here, we consider one-parameter synchrony breaking bifurcations in such ODEs. We call a synchrony breaking steady-state branch ‘reluctant’ if it is tangent to a synchrony space, but does not lie inside it. We prove that reluctant synchrony breaking is ubiquitous in hypernetwork systems, by constructing a large class of examples that support it. We also give an explicit formula for the order of tangency to the synchrony space of a reluctant steady-state branch. author: - first_name: Sören full_name: von der Gracht, Sören id: '97359' last_name: von der Gracht orcid: 0000-0002-8054-2058 - first_name: Eddie full_name: Nijholt, Eddie last_name: Nijholt - first_name: Bob full_name: Rink, Bob last_name: Rink citation: ama: 'von der Gracht S, Nijholt E, Rink B. Higher-order interactions lead to ‘reluctant’ synchrony breaking. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2024;480(2301). doi:10.1098/rspa.2023.0945' apa: 'von der Gracht, S., Nijholt, E., & Rink, B. (2024). Higher-order interactions lead to ‘reluctant’ synchrony breaking. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 480(2301). https://doi.org/10.1098/rspa.2023.0945' bibtex: '@article{von der Gracht_Nijholt_Rink_2024, title={Higher-order interactions lead to ‘reluctant’ synchrony breaking}, volume={480}, DOI={10.1098/rspa.2023.0945}, number={2301}, journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences}, publisher={The Royal Society}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2024} }' chicago: 'Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Higher-Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480, no. 2301 (2024). https://doi.org/10.1098/rspa.2023.0945.' ieee: 'S. von der Gracht, E. Nijholt, and B. Rink, “Higher-order interactions lead to ‘reluctant’ synchrony breaking,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 480, no. 2301, 2024, doi: 10.1098/rspa.2023.0945.' mla: 'von der Gracht, Sören, et al. “Higher-Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 480, no. 2301, The Royal Society, 2024, doi:10.1098/rspa.2023.0945.' short: 'S. von der Gracht, E. Nijholt, B. Rink, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480 (2024).' date_created: 2025-03-27T10:15:06Z date_updated: 2025-03-27T10:19:56Z ddc: - '510' department: - _id: '101' doi: 10.1098/rspa.2023.0945 file: - access_level: open_access content_type: application/pdf creator: svdg date_created: 2025-03-27T10:16:20Z date_updated: 2025-03-27T10:19:48Z file_id: '59172' file_name: higher-order-interactions-lead-to-reluctant-synchrony-breaking.pdf file_size: 820435 relation: main_file file_date_updated: 2025-03-27T10:19:48Z has_accepted_license: '1' intvolume: ' 480' issue: '2301' keyword: - higher-order interactions - synchrony breaking - network dynamics - coupled cell systems language: - iso: eng oa: '1' publication: 'Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences' publication_identifier: issn: - 1364-5021 - 1471-2946 publication_status: published publisher: The Royal Society status: public title: Higher-order interactions lead to ‘reluctant’ synchrony breaking type: journal_article user_id: '97359' volume: 480 year: '2024' ... --- _id: '59581' author: - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide orcid: 0000-0001-6278-4240 - first_name: M. full_name: Nührenbörger, M. last_name: Nührenbörger citation: ama: 'Häsel-Weide U, Nührenbörger M. Praktiken der Förderung im inklusiven Mathematikunterricht. In: Ebers P, Rösken F, Barzel B, Büchter A, Schacht F, Scherer P, eds. Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik. ; 2024:207-210. doi:https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0' apa: Häsel-Weide, U., & Nührenbörger, M. (2024). Praktiken der Förderung im inklusiven Mathematikunterricht. In P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, & P. Scherer (Eds.), Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik (pp. 207–210). https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0 bibtex: '@inbook{Häsel-Weide_Nührenbörger_2024, title={ Praktiken der Förderung im inklusiven Mathematikunterricht}, DOI={https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0}, booktitle={Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, author={Häsel-Weide, Uta and Nührenbörger, M.}, editor={Ebers, P. and Rösken, F. and Barzel, B. and Büchter, A. and Schacht, F. and Scherer, P.}, year={2024}, pages={207–210} }' chicago: Häsel-Weide, Uta, and M. Nührenbörger. “ Praktiken der Förderung im inklusiven Mathematikunterricht.” In Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik, edited by P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, 207–10, 2024. https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0. ieee: U. Häsel-Weide and M. Nührenbörger, “ Praktiken der Förderung im inklusiven Mathematikunterricht,” in Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik, P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, Eds. 2024, pp. 207–210. mla: Häsel-Weide, Uta, and M. Nührenbörger. “ Praktiken der Förderung im inklusiven Mathematikunterricht.” Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik, edited by P. Ebers et al., 2024, pp. 207–10, doi:https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0. short: 'U. Häsel-Weide, M. Nührenbörger, in: P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, P. Scherer (Eds.), Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik, 2024, pp. 207–210.' date_created: 2025-04-15T10:06:42Z date_updated: 2025-09-08T07:32:38Z department: - _id: '543' doi: https://doi.ohttps://doi.org/10.37626/GA9783959872782.0 rg/10.37626/GA9783959872782.0 editor: - first_name: P. full_name: Ebers, P. last_name: Ebers - first_name: F. full_name: Rösken, F. last_name: Rösken - first_name: B. full_name: Barzel, B. last_name: Barzel - first_name: A. full_name: Büchter, A. last_name: Büchter - first_name: F. full_name: Schacht, F. last_name: Schacht - first_name: P. full_name: Scherer, P. last_name: Scherer language: - iso: ger page: 207-210 publication: Beiträge zum Mathematikuntericht 2024. 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik status: public title: ' Praktiken der Förderung im inklusiven Mathematikunterricht' type: book_chapter user_id: '44184' year: '2024' ... --- _id: '58873' abstract: - lang: eng text: "We prove that the Patterson-Sullivan and Wigner distributions on the unit\r\nsphere bundle of a convex-cocompact hyperbolic surface are asymptotically\r\nidentical. This generalizes results in the compact case by\r\nAnantharaman-Zelditch and Hansen-Hilgert-Schr\\\"oder." author: - first_name: Benjamin full_name: Delarue, Benjamin id: '70575' last_name: Delarue - first_name: Guendalina full_name: Palmirotta, Guendalina id: '109467' last_name: Palmirotta citation: ama: Delarue B, Palmirotta G. Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces. arXiv:241119782. Published online 2024. apa: Delarue, B., & Palmirotta, G. (2024). Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces. In arXiv:2411.19782. bibtex: '@article{Delarue_Palmirotta_2024, title={Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces}, journal={arXiv:2411.19782}, author={Delarue, Benjamin and Palmirotta, Guendalina}, year={2024} }' chicago: Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner Distributions of Convex-Cocompact  Hyperbolic Surfaces.” ArXiv:2411.19782, 2024. ieee: B. Delarue and G. Palmirotta, “Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic surfaces,” arXiv:2411.19782. 2024. mla: Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner Distributions of Convex-Cocompact  Hyperbolic Surfaces.” ArXiv:2411.19782, 2024. short: B. Delarue, G. Palmirotta, ArXiv:2411.19782 (2024). date_created: 2025-02-28T10:32:30Z date_updated: 2026-03-30T12:01:12Z department: - _id: '548' external_id: arxiv: - '2411.19782' language: - iso: eng project: - _id: '356' name: 'TRR 358; TP B02: Spektraltheorie in höherem Rang und unendlichem Volumen' publication: arXiv:2411.19782 status: public title: Patterson-Sullivan and Wigner distributions of convex-cocompact hyperbolic surfaces type: preprint user_id: '109467' year: '2024' ... --- _id: '53542' abstract: - lang: eng text: "AbstractThis work deals with the extension problem for the fractional Laplacian on Riemannian symmetric spaces G/K of noncompact type and of general rank, which gives rise to a family of convolution operators, including the Poisson operator. More precisely, motivated by Euclidean results for the Poisson semigroup, we study the long-time asymptotic behavior of solutions to the extension problem for $$L^1$$\r\n \r\n \ L\r\n 1\r\n \ \r\n initial data. In the case of the Laplace–Beltrami operator, we show that if the initial data are bi-K-invariant, then the solution to the extension problem behaves asymptotically as the mass times the fundamental solution, but this convergence may break down in the non-bi-K-invariant case. In the second part, we investigate the long-time asymptotic behavior of the extension problem associated with the so-called distinguished Laplacian on G/K. In this case, we observe phenomena which are similar to the Euclidean setting for the Poisson semigroup, such as $$L^1$$\r\n \r\n \ L\r\n 1\r\n \ \r\n asymptotic convergence without the assumption of bi-K-invariance." article_number: '34' author: - first_name: Efthymia full_name: Papageorgiou, Efthymia id: '100325' last_name: Papageorgiou citation: ama: Papageorgiou E. Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces. Journal of Evolution Equations. 2024;24(2). doi:10.1007/s00028-024-00959-6 apa: Papageorgiou, E. (2024). Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces. Journal of Evolution Equations, 24(2), Article 34. https://doi.org/10.1007/s00028-024-00959-6 bibtex: '@article{Papageorgiou_2024, title={Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces}, volume={24}, DOI={10.1007/s00028-024-00959-6}, number={234}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2024} }' chicago: Papageorgiou, Efthymia. “Asymptotic Behavior of Solutions to the Extension Problem for the Fractional Laplacian on Noncompact Symmetric Spaces.” Journal of Evolution Equations 24, no. 2 (2024). https://doi.org/10.1007/s00028-024-00959-6. ieee: 'E. Papageorgiou, “Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces,” Journal of Evolution Equations, vol. 24, no. 2, Art. no. 34, 2024, doi: 10.1007/s00028-024-00959-6.' mla: Papageorgiou, Efthymia. “Asymptotic Behavior of Solutions to the Extension Problem for the Fractional Laplacian on Noncompact Symmetric Spaces.” Journal of Evolution Equations, vol. 24, no. 2, 34, Springer Science and Business Media LLC, 2024, doi:10.1007/s00028-024-00959-6. short: E. Papageorgiou, Journal of Evolution Equations 24 (2024). date_created: 2024-04-17T13:18:30Z date_updated: 2026-07-03T12:35:54Z department: - _id: '555' doi: 10.1007/s00028-024-00959-6 intvolume: ' 24' issue: '2' keyword: - Mathematics (miscellaneous) language: - iso: eng publication: Journal of Evolution Equations publication_identifier: issn: - 1424-3199 - 1424-3202 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces type: journal_article user_id: '100325' volume: 24 year: '2024' ... --- _id: '21199' abstract: - lang: eng text: "As in almost every other branch of science, the major advances in data\r\nscience and machine learning have also resulted in significant improvements\r\nregarding the modeling and simulation of nonlinear dynamical systems. It is\r\nnowadays possible to make accurate medium to long-term predictions of highly\r\ncomplex systems such as the weather, the dynamics within a nuclear fusion\r\nreactor, of disease models or the stock market in a very efficient manner. In\r\nmany cases, predictive methods are advertised to ultimately be useful for\r\ncontrol, as the control of high-dimensional nonlinear systems is an engineering\r\ngrand challenge with huge potential in areas such as clean and efficient energy\r\nproduction, or the development of advanced medical devices. However, the\r\nquestion of how to use a predictive model for control is often left unanswered\r\ndue to the associated challenges, namely a significantly higher system\r\ncomplexity, the requirement of much larger data sets and an increased and often\r\nproblem-specific modeling effort. To solve these issues, we present a universal\r\nframework (which we call QuaSiModO:\r\nQuantization-Simulation-Modeling-Optimization) to transform arbitrary\r\npredictive models into control systems and use them for feedback control. The\r\nadvantages of our approach are a linear increase in data requirements with\r\nrespect to the control dimension, performance guarantees that rely exclusively\r\non the accuracy of the predictive model, and only little prior knowledge\r\nrequirements in control theory to solve complex control problems. In particular\r\nthe latter point is of key importance to enable a large number of researchers\r\nand practitioners to exploit the ever increasing capabilities of predictive\r\nmodels for control in a straight-forward and systematic fashion." article_number: '110840' author: - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X - first_name: Katharina full_name: Bieker, Katharina id: '32829' last_name: Bieker citation: ama: Peitz S, Bieker K. On the Universal Transformation of Data-Driven Models to Control Systems. Automatica. 2023;149. doi:10.1016/j.automatica.2022.110840 apa: Peitz, S., & Bieker, K. (2023). On the Universal Transformation of Data-Driven Models to Control Systems. Automatica, 149, Article 110840. https://doi.org/10.1016/j.automatica.2022.110840 bibtex: '@article{Peitz_Bieker_2023, title={On the Universal Transformation of Data-Driven Models to Control Systems}, volume={149}, DOI={10.1016/j.automatica.2022.110840}, number={110840}, journal={Automatica}, publisher={Elsevier}, author={Peitz, Sebastian and Bieker, Katharina}, year={2023} }' chicago: Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation of Data-Driven Models to Control Systems.” Automatica 149 (2023). https://doi.org/10.1016/j.automatica.2022.110840. ieee: 'S. Peitz and K. Bieker, “On the Universal Transformation of Data-Driven Models to Control Systems,” Automatica, vol. 149, Art. no. 110840, 2023, doi: 10.1016/j.automatica.2022.110840.' mla: Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation of Data-Driven Models to Control Systems.” Automatica, vol. 149, 110840, Elsevier, 2023, doi:10.1016/j.automatica.2022.110840. short: S. Peitz, K. Bieker, Automatica 149 (2023). date_created: 2021-02-10T07:04:15Z date_updated: 2023-01-07T12:01:58Z department: - _id: '101' - _id: '655' doi: 10.1016/j.automatica.2022.110840 intvolume: ' 149' language: - iso: eng main_file_link: - open_access: '1' url: https://www.sciencedirect.com/science/article/pii/S0005109822007075/pdfft?isDTMRedir=true&download=true oa: '1' project: - _id: '52' name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing' publication: Automatica publication_status: published publisher: Elsevier status: public title: On the Universal Transformation of Data-Driven Models to Control Systems type: journal_article user_id: '47427' volume: 149 year: '2023' ... --- _id: '46756' author: - first_name: Melina full_name: Wallner, Melina id: '45445' last_name: Wallner - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide citation: ama: 'Wallner M, Häsel-Weide U. Conceptual understanding of third grades for axial symmetry. In: Novotna J, Moraova H, eds. International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education. Charles University; 2023:346-354.' apa: 'Wallner, M., & Häsel-Weide, U. (2023). Conceptual understanding of third grades for axial symmetry. In J. Novotna & H. Moraova (Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education (pp. 346–354). Charles University.' bibtex: '@inproceedings{Wallner_Häsel-Weide_2023, title={Conceptual understanding of third grades for axial symmetry}, booktitle={International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education}, publisher={Charles University}, author={Wallner, Melina and Häsel-Weide, Uta}, editor={Novotna, J. and Moraova, H.}, year={2023}, pages={346–354} }' chicago: 'Wallner, Melina, and Uta Häsel-Weide. “Conceptual Understanding of Third Grades for Axial Symmetry.” In International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, edited by J. Novotna and H. Moraova, 346–54. Charles University, 2023.' ieee: 'M. Wallner and U. Häsel-Weide, “Conceptual understanding of third grades for axial symmetry,” in International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, Prag, 2023, pp. 346–354.' mla: 'Wallner, Melina, and Uta Häsel-Weide. “Conceptual Understanding of Third Grades for Axial Symmetry.” International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, edited by J. Novotna and H. Moraova, Charles University, 2023, pp. 346–54.' short: 'M. Wallner, U. Häsel-Weide, in: J. Novotna, H. Moraova (Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, Charles University, 2023, pp. 346–354.' conference: location: Prag name: International Symposium in Elementary Mathematics Teaching date_created: 2023-08-30T09:24:29Z date_updated: 2023-11-24T16:33:37Z department: - _id: '543' editor: - first_name: J. full_name: Novotna, J. last_name: Novotna - first_name: H. full_name: Moraova, H. last_name: Moraova language: - iso: eng main_file_link: - url: https://semt.cz/proceedings/semt-23.pdf page: 346-354 publication: 'International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education' publisher: Charles University status: public title: Conceptual understanding of third grades for axial symmetry type: conference user_id: '45445' year: '2023' ... --- _id: '49326' abstract: - lang: eng text: Many networked systems are governed by non-pairwise interactions between nodes. The resulting higher-order interaction structure can then be encoded by means of a hypernetwork. In this paper we consider dynamical systems on hypernetworks by defining a class of admissible maps for every such hypernetwork. We explain how to classify robust cluster synchronization patterns on hypernetworks by finding balanced partitions, and we generalize the concept of a graph fibration to the hypernetwork context. We also show that robust synchronization patterns are only fully determined by polynomial admissible maps of high order. This means that, unlike in dyadic networks, cluster synchronization on hypernetworks is a higher-order, i.e., nonlinear, effect. We give a formula, in terms of the order of the hypernetwork, for the degree of the polynomial admissible maps that determine robust synchronization patterns. We also demonstrate that this degree is optimal by investigating a class of examples. We conclude by demonstrating how this effect may cause remarkable synchrony breaking bifurcations that occur at high polynomial degree. author: - first_name: Sören full_name: von der Gracht, Sören id: '97359' last_name: von der Gracht orcid: 0000-0002-8054-2058 - first_name: Eddie full_name: Nijholt, Eddie last_name: Nijholt - first_name: Bob full_name: Rink, Bob last_name: Rink citation: ama: 'von der Gracht S, Nijholt E, Rink B. Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics. 2023;83(6):2329-2353. doi:10.1137/23m1561075' apa: 'von der Gracht, S., Nijholt, E., & Rink, B. (2023). Hypernetworks: Cluster Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics, 83(6), 2329–2353. https://doi.org/10.1137/23m1561075' bibtex: '@article{von der Gracht_Nijholt_Rink_2023, title={Hypernetworks: Cluster Synchronization Is a Higher-Order Effect}, volume={83}, DOI={10.1137/23m1561075}, number={6}, journal={SIAM Journal on Applied Mathematics}, publisher={Society for Industrial & Applied Mathematics (SIAM)}, author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2023}, pages={2329–2353} }' chicago: 'Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics 83, no. 6 (2023): 2329–53. https://doi.org/10.1137/23m1561075.' ieee: 'S. von der Gracht, E. Nijholt, and B. Rink, “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect,” SIAM Journal on Applied Mathematics, vol. 83, no. 6, pp. 2329–2353, 2023, doi: 10.1137/23m1561075.' mla: 'von der Gracht, Sören, et al. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics, vol. 83, no. 6, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2329–53, doi:10.1137/23m1561075.' short: S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353. date_created: 2023-11-29T10:50:05Z date_updated: 2023-11-29T10:52:23Z department: - _id: '101' doi: 10.1137/23m1561075 external_id: arxiv: - '2302.08974' intvolume: ' 83' issue: '6' keyword: - Applied Mathematics language: - iso: eng page: 2329-2353 publication: SIAM Journal on Applied Mathematics publication_identifier: issn: - 0036-1399 - 1095-712X publication_status: published publisher: Society for Industrial & Applied Mathematics (SIAM) status: public title: 'Hypernetworks: Cluster Synchronization Is a Higher-Order Effect' type: journal_article user_id: '97359' volume: 83 year: '2023' ... --- _id: '49372' author: - first_name: Jürgen full_name: Klüners, Jürgen id: '21202' last_name: Klüners - first_name: Jiuya full_name: Wang, Jiuya last_name: Wang citation: ama: Klüners J, Wang J. Idélic Approach in Enumerating Heisenberg Extensions. La Matematica. Published online 2023. doi:10.1007/s44007-023-00067-w apa: Klüners, J., & Wang, J. (2023). Idélic Approach in Enumerating Heisenberg Extensions. La Matematica. https://doi.org/10.1007/s44007-023-00067-w bibtex: '@article{Klüners_Wang_2023, title={Idélic Approach in Enumerating Heisenberg Extensions}, DOI={10.1007/s44007-023-00067-w}, journal={La Matematica}, publisher={Springer Science and Business Media LLC}, author={Klüners, Jürgen and Wang, Jiuya}, year={2023} }' chicago: Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg Extensions.” La Matematica, 2023. https://doi.org/10.1007/s44007-023-00067-w. ieee: 'J. Klüners and J. Wang, “Idélic Approach in Enumerating Heisenberg Extensions,” La Matematica, 2023, doi: 10.1007/s44007-023-00067-w.' mla: Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg Extensions.” La Matematica, Springer Science and Business Media LLC, 2023, doi:10.1007/s44007-023-00067-w. short: J. Klüners, J. Wang, La Matematica (2023). date_created: 2023-12-01T09:23:59Z date_updated: 2023-12-06T09:50:43Z department: - _id: '102' doi: 10.1007/s44007-023-00067-w language: - iso: eng publication: La Matematica publication_identifier: issn: - 2730-9657 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Idélic Approach in Enumerating Heisenberg Extensions type: journal_article user_id: '21202' year: '2023' ... --- _id: '49425' author: - first_name: Simone full_name: Seitz, Simone last_name: Seitz - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: Yannik full_name: Wilke, Yannik last_name: Wilke - first_name: Melina full_name: Wallner, Melina id: '45445' last_name: Wallner citation: ama: 'Seitz S, Häsel-Weide U, Wilke Y, Wallner M. Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research. Teachers and Teaching. Published online 2023:1-16. doi:https://doi.org/10.1080/13540602.2023.2284876 ' apa: 'Seitz, S., Häsel-Weide, U., Wilke, Y., & Wallner, M. (2023). Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research. Teachers and Teaching, 1–16. https://doi.org/10.1080/13540602.2023.2284876 ' bibtex: '@article{Seitz_Häsel-Weide_Wilke_Wallner_2023, title={Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research}, DOI={https://doi.org/10.1080/13540602.2023.2284876 }, journal={Teachers and Teaching}, author={Seitz, Simone and Häsel-Weide, Uta and Wilke, Yannik and Wallner, Melina}, year={2023}, pages={1–16} }' chicago: 'Seitz, Simone, Uta Häsel-Weide, Yannik Wilke, and Melina Wallner. “Expertise and Professionalism for Inclusive (Mathematics) Teaching and Learning: Reflections on Findings from Interdisciplinary Professionalisation Research.” Teachers and Teaching, 2023, 1–16. https://doi.org/10.1080/13540602.2023.2284876 .' ieee: 'S. Seitz, U. Häsel-Weide, Y. Wilke, and M. Wallner, “Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research,” Teachers and Teaching, pp. 1–16, 2023, doi: https://doi.org/10.1080/13540602.2023.2284876 .' mla: 'Seitz, Simone, et al. “Expertise and Professionalism for Inclusive (Mathematics) Teaching and Learning: Reflections on Findings from Interdisciplinary Professionalisation Research.” Teachers and Teaching, 2023, pp. 1–16, doi:https://doi.org/10.1080/13540602.2023.2284876 .' short: S. Seitz, U. Häsel-Weide, Y. Wilke, M. Wallner, Teachers and Teaching (2023) 1–16. date_created: 2023-12-04T09:45:04Z date_updated: 2023-12-13T12:51:03Z department: - _id: '543' doi: 'https://doi.org/10.1080/13540602.2023.2284876 ' language: - iso: eng page: 1-16 publication: Teachers and Teaching status: public title: 'Expertise and professionalism for inclusive (mathematics) teaching and learning: reflections on findings from interdisciplinary professionalisation research' type: journal_article user_id: '45445' year: '2023' ... --- _id: '34135' abstract: - lang: eng text: By one of the most fundamental principles in physics, a dynamical system will exhibit those motions which extremise an action functional. This leads to the formation of the Euler-Lagrange equations, which serve as a model of how the system will behave in time. If the dynamics exhibit additional symmetries, then the motion fulfils additional conservation laws, such as conservation of energy (time invariance), momentum (translation invariance), or angular momentum (rotational invariance). To learn a system representation, one could learn the discrete Euler-Lagrange equations, or alternatively, learn the discrete Lagrangian function Ld which defines them. Based on ideas from Lie group theory, in this work we introduce a framework to learn a discrete Lagrangian along with its symmetry group from discrete observations of motions and, therefore, identify conserved quantities. The learning process does not restrict the form of the Lagrangian, does not require velocity or momentum observations or predictions and incorporates a cost term which safeguards against unwanted solutions and against potential numerical issues in forward simulations. The learnt discrete quantities are related to their continuous analogues using variational backward error analysis and numerical results demonstrate the improvement such models can have both qualitatively and quantitatively even in the presence of noise. author: - first_name: Yana full_name: Lishkova, Yana last_name: Lishkova - first_name: Paul full_name: Scherer, Paul last_name: Scherer - first_name: Steffen full_name: Ridderbusch, Steffen last_name: Ridderbusch - first_name: Mateja full_name: Jamnik, Mateja last_name: Jamnik - first_name: Pietro full_name: Liò, Pietro last_name: Liò - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum - first_name: Christian full_name: Offen, Christian id: '85279' last_name: Offen orcid: 0000-0002-5940-8057 citation: ama: 'Lishkova Y, Scherer P, Ridderbusch S, et al. Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. In: IFAC-PapersOnLine. Vol 56. Elsevier; 2023:3203-3210. doi:10.1016/j.ifacol.2023.10.1457' apa: Lishkova, Y., Scherer, P., Ridderbusch, S., Jamnik, M., Liò, P., Ober-Blöbaum, S., & Offen, C. (2023). Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery. IFAC-PapersOnLine, 56(2), 3203–3210. https://doi.org/10.1016/j.ifacol.2023.10.1457 bibtex: '@inproceedings{Lishkova_Scherer_Ridderbusch_Jamnik_Liò_Ober-Blöbaum_Offen_2023, title={Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery}, volume={56}, DOI={10.1016/j.ifacol.2023.10.1457}, number={2}, booktitle={IFAC-PapersOnLine}, publisher={Elsevier}, author={Lishkova, Yana and Scherer, Paul and Ridderbusch, Steffen and Jamnik, Mateja and Liò, Pietro and Ober-Blöbaum, Sina and Offen, Christian}, year={2023}, pages={3203–3210} }' chicago: Lishkova, Yana, Paul Scherer, Steffen Ridderbusch, Mateja Jamnik, Pietro Liò, Sina Ober-Blöbaum, and Christian Offen. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” In IFAC-PapersOnLine, 56:3203–10. Elsevier, 2023. https://doi.org/10.1016/j.ifacol.2023.10.1457. ieee: 'Y. Lishkova et al., “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery,” in IFAC-PapersOnLine, Yokohama, Japan, 2023, vol. 56, no. 2, pp. 3203–3210, doi: 10.1016/j.ifacol.2023.10.1457.' mla: Lishkova, Yana, et al. “Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery.” IFAC-PapersOnLine, vol. 56, no. 2, Elsevier, 2023, pp. 3203–10, doi:10.1016/j.ifacol.2023.10.1457. short: 'Y. Lishkova, P. Scherer, S. Ridderbusch, M. Jamnik, P. Liò, S. Ober-Blöbaum, C. Offen, in: IFAC-PapersOnLine, Elsevier, 2023, pp. 3203–3210.' conference: end_date: 2023-07-14 location: ' Yokohama, Japan' name: The 22nd World Congress of the International Federation of Automatic Control start_date: 2023-07-09 date_created: 2022-11-23T08:17:10Z date_updated: 2023-12-29T14:26:00Z ddc: - '510' department: - _id: '636' doi: 10.1016/j.ifacol.2023.10.1457 external_id: arxiv: - '2211.10830' file: - access_level: open_access content_type: application/pdf creator: coffen date_created: 2023-04-17T08:05:55Z date_updated: 2023-04-17T08:05:55Z description: |- By one of the most fundamental principles in physics, a dynamical system will exhibit those motions which extremise an action functional. This leads to the formation of the Euler-Lagrange equations, which serve as a model of how the system will behave in time. If the dynamics exhibit additional symmetries, then the motion fulfils additional conservation laws, such as conservation of energy (time invariance), momentum (translation invariance), or angular momentum (rotational invariance). To learn a system representation, one could learn the discrete Euler-Lagrange equations, or alternatively, learn the discrete Lagrangian function Ld which defines them. Based on ideas from Lie group theory, we introduce a framework to learn a discrete Lagrangian along with its symmetry group from discrete observations of motions and, therefore, identify conserved quantities. The learning process does not restrict the form of the Lagrangian, does not require velocity or momentum observations or predictions and incorporates a cost term which safeguards against unwanted solutions and against potential numerical issues in forward simulations. The learnt discrete quantities are related to their continuous analogues using variational backward error analysis and numerical results demonstrate the improvement such models can have both qualitatively and quantitatively even in the presence of noise. file_id: '44037' file_name: LNN_project.pdf file_size: 576115 relation: main_file title: Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery file_date_updated: 2023-04-17T08:05:55Z has_accepted_license: '1' intvolume: ' 56' issue: '2' language: - iso: eng main_file_link: - url: https://www.sciencedirect.com/science/article/pii/S2405896323018657 oa: '1' page: 3203-3210 publication: IFAC-PapersOnLine publication_status: published publisher: Elsevier quality_controlled: '1' related_material: link: - description: GitHub relation: software url: https://github.com/yanalish/SymDLNN status: public title: Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery type: conference user_id: '85279' volume: 56 year: '2023' ...