--- _id: '42652' 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. Vorkurse und ihre Wirkungen im Übergang Schule – Hochschule. In: Hochmuth R, Biehler R, Liebendörfer M, Schaper N, eds. Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse. Springer; 2022:293-363. doi:10.1007/978-3-662-64833-9_12' apa: Lankeit, E., & Biehler, R. (2022). Vorkurse und ihre Wirkungen im Übergang Schule – Hochschule. In R. Hochmuth, R. Biehler, M. Liebendörfer, & N. Schaper (Eds.), Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse (pp. 293–363). Springer. https://doi.org/10.1007/978-3-662-64833-9_12 bibtex: '@inbook{Lankeit_Biehler_2022, place={Berlin, Heidelberg}, title={Vorkurse und ihre Wirkungen im Übergang Schule – Hochschule}, DOI={10.1007/978-3-662-64833-9_12}, booktitle={Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse}, publisher={Springer}, author={Lankeit, Elisa and Biehler, Rolf}, editor={Hochmuth, Reinhard and Biehler, Rolf and Liebendörfer, Michael and Schaper, Niclas}, year={2022}, pages={293–363} }' chicago: 'Lankeit, Elisa, and Rolf Biehler. “Vorkurse und ihre Wirkungen im Übergang Schule – Hochschule.” In Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, edited by Reinhard Hochmuth, Rolf Biehler, Michael Liebendörfer, and Niclas Schaper, 293–363. Berlin, Heidelberg: Springer, 2022. https://doi.org/10.1007/978-3-662-64833-9_12.' ieee: 'E. Lankeit and R. Biehler, “Vorkurse und ihre Wirkungen im Übergang Schule – Hochschule,” in Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, R. Hochmuth, R. Biehler, M. Liebendörfer, and N. Schaper, Eds. Berlin, Heidelberg: Springer, 2022, pp. 293–363.' mla: Lankeit, Elisa, and Rolf Biehler. “Vorkurse und ihre Wirkungen im Übergang Schule – Hochschule.” Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, edited by Reinhard Hochmuth et al., Springer, 2022, pp. 293–363, doi:10.1007/978-3-662-64833-9_12. short: 'E. Lankeit, R. Biehler, in: R. Hochmuth, R. Biehler, M. Liebendörfer, N. Schaper (Eds.), Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, Springer, Berlin, Heidelberg, 2022, pp. 293–363.' date_created: 2023-03-02T10:34:09Z date_updated: 2023-04-14T09:26:26Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' doi: 10.1007/978-3-662-64833-9_12 editor: - first_name: Reinhard full_name: Hochmuth, Reinhard last_name: Hochmuth - first_name: Rolf full_name: Biehler, Rolf last_name: Biehler - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer - first_name: Niclas full_name: Schaper, Niclas last_name: Schaper language: - iso: ger main_file_link: - url: https://doi.org/10.1007/978-3-662-64833-9_12 page: 293-363 place: Berlin, Heidelberg publication: Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse publication_identifier: isbn: - '9783662648322' - '9783662648339' issn: - 2197-8751 - 2197-876X publication_status: published publisher: Springer status: public title: Vorkurse und ihre Wirkungen im Übergang Schule – Hochschule type: book_chapter user_id: '37888' year: '2022' ... --- _id: '42650' citation: ama: Hochmuth R, Biehler R, Liebendörfer M, Schaper N, eds. Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse. Springer; 2022. doi:10.1007/978-3-662-64833-9 apa: Hochmuth, R., Biehler, R., Liebendörfer, M., & Schaper, N. (Eds.). (2022). Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse. Springer. https://doi.org/10.1007/978-3-662-64833-9 bibtex: '@book{Hochmuth_Biehler_Liebendörfer_Schaper_2022, place={Berlin, Heidelberg}, title={Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse}, DOI={10.1007/978-3-662-64833-9}, publisher={Springer}, year={2022} }' chicago: 'Hochmuth, Reinhard, Rolf Biehler, Michael Liebendörfer, and Niclas Schaper, eds. Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse. Berlin, Heidelberg: Springer, 2022. https://doi.org/10.1007/978-3-662-64833-9.' ieee: 'R. Hochmuth, R. Biehler, M. Liebendörfer, and N. Schaper, Eds., Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse. Berlin, Heidelberg: Springer, 2022.' mla: Hochmuth, Reinhard, et al., editors. Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse. Springer, 2022, doi:10.1007/978-3-662-64833-9. short: R. Hochmuth, R. Biehler, M. Liebendörfer, N. Schaper, eds., Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, Springer, Berlin, Heidelberg, 2022. date_created: 2023-03-02T10:27:21Z date_updated: 2023-04-14T09:26:23Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' doi: 10.1007/978-3-662-64833-9 editor: - first_name: Reinhard full_name: Hochmuth, Reinhard last_name: Hochmuth - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Michael full_name: Liebendörfer, Michael id: '30933' last_name: Liebendörfer orcid: 0000-0001-9887-2074 - first_name: Niclas full_name: Schaper, Niclas last_name: Schaper language: - iso: ger main_file_link: - open_access: '1' url: 'https://doi.org/10.1007/978-3-662-64833-9 ' oa: '1' place: Berlin, Heidelberg publication_identifier: isbn: - '9783662648322' - '9783662648339' issn: - 2197-8751 - 2197-876X publication_status: published publisher: Springer status: public title: Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse type: book_editor user_id: '37888' year: '2022' ... --- _id: '44328' abstract: - lang: eng text: In this paper, we study equivalences between the categories of quasi–coherent sheaves on non–commutative noetherian schemes. In particular, we give a new proof of Căldăraru's conjecture about Morita equivalences of Azumaya algebras on noetherian schemes. Moreover, we derive necessary and sufficient condition for two reduced non–commutative curves to be Morita equivalent. article_number: '108273' author: - first_name: Igor full_name: Burban, Igor id: '72064' last_name: Burban - first_name: Yu. full_name: Drozd, Yu. last_name: Drozd citation: ama: Burban I, Drozd Yu. Morita theory for non-commutative noetherian schemes. Advances in Mathematics. 2022;399. doi:10.1016/j.aim.2022.108273 apa: Burban, I., & Drozd, Yu. (2022). Morita theory for non-commutative noetherian schemes. Advances in Mathematics, 399, Article 108273. https://doi.org/10.1016/j.aim.2022.108273 bibtex: '@article{Burban_Drozd_2022, title={Morita theory for non-commutative noetherian schemes}, volume={399}, DOI={10.1016/j.aim.2022.108273}, number={108273}, journal={Advances in Mathematics}, author={Burban, Igor and Drozd, Yu.}, year={2022} }' chicago: Burban, Igor, and Yu. Drozd. “Morita Theory for Non-Commutative Noetherian Schemes.” Advances in Mathematics 399 (2022). https://doi.org/10.1016/j.aim.2022.108273. ieee: 'I. Burban and Yu. Drozd, “Morita theory for non-commutative noetherian schemes,” Advances in Mathematics, vol. 399, Art. no. 108273, 2022, doi: 10.1016/j.aim.2022.108273.' mla: Burban, Igor, and Yu. Drozd. “Morita Theory for Non-Commutative Noetherian Schemes.” Advances in Mathematics, vol. 399, 108273, 2022, doi:10.1016/j.aim.2022.108273. short: I. Burban, Yu. Drozd, Advances in Mathematics 399 (2022). date_created: 2023-05-02T18:34:25Z date_updated: 2023-05-07T01:35:27Z department: - _id: '602' doi: 10.1016/j.aim.2022.108273 intvolume: ' 399' language: - iso: eng publication: Advances in Mathematics publication_status: published status: public title: Morita theory for non-commutative noetherian schemes type: journal_article user_id: '49063' volume: 399 year: '2022' ... --- _id: '44537' author: - first_name: Igor full_name: Burban, Igor id: '72064' last_name: Burban - first_name: C. full_name: Alfes-Neumann, C. last_name: Alfes-Neumann - first_name: M. full_name: Raum, M. last_name: Raum citation: ama: Burban I, Alfes-Neumann C, Raum M. A classification of polyharmonic Maa forms via quiver representations. Published online 2022. apa: Burban, I., Alfes-Neumann, C., & Raum, M. (2022). A classification of polyharmonic Maa forms via quiver representations. bibtex: '@article{Burban_Alfes-Neumann_Raum_2022, title={A classification of polyharmonic Maa forms via quiver representations}, author={Burban, Igor and Alfes-Neumann, C. and Raum, M.}, year={2022} }' chicago: Burban, Igor, C. Alfes-Neumann, and M. Raum. “A Classification of Polyharmonic Maa Forms via Quiver Representations,” 2022. ieee: I. Burban, C. Alfes-Neumann, and M. Raum, “A classification of polyharmonic Maa forms via quiver representations.” 2022. mla: Burban, Igor, et al. A Classification of Polyharmonic Maa Forms via Quiver Representations. 2022. short: I. Burban, C. Alfes-Neumann, M. Raum, (2022). date_created: 2023-05-07T00:54:50Z date_updated: 2023-05-07T01:37:00Z department: - _id: '602' language: - iso: eng main_file_link: - url: https://doi.org/10.48550/arXiv.2207.02278 publication_status: published status: public title: A classification of polyharmonic Maa forms via quiver representations type: preprint user_id: '49063' year: '2022' ... --- _id: '44327' article_number: '104499' author: - first_name: Igor full_name: Burban, Igor id: '72064' last_name: Burban - first_name: A. full_name: Peruzzi, A. last_name: Peruzzi citation: ama: Burban I, Peruzzi A. On elliptic solutions of the associative Yang-Baxter equation. Journal of Geometry and Physics. 2022;176. apa: Burban, I., & Peruzzi, A. (2022). On elliptic solutions of the associative Yang-Baxter equation. Journal of Geometry and Physics, 176, Article 104499. bibtex: '@article{Burban_Peruzzi_2022, title={On elliptic solutions of the associative Yang-Baxter equation}, volume={176}, number={104499}, journal={Journal of Geometry and Physics}, author={Burban, Igor and Peruzzi, A.}, year={2022} }' chicago: Burban, Igor, and A. Peruzzi. “On Elliptic Solutions of the Associative Yang-Baxter Equation.” Journal of Geometry and Physics 176 (2022). ieee: I. Burban and A. Peruzzi, “On elliptic solutions of the associative Yang-Baxter equation,” Journal of Geometry and Physics, vol. 176, Art. no. 104499, 2022. mla: Burban, Igor, and A. Peruzzi. “On Elliptic Solutions of the Associative Yang-Baxter Equation.” Journal of Geometry and Physics, vol. 176, 104499, 2022. short: I. Burban, A. Peruzzi, Journal of Geometry and Physics 176 (2022). date_created: 2023-05-02T18:32:49Z date_updated: 2023-05-07T01:41:35Z department: - _id: '602' intvolume: ' 176' language: - iso: eng publication: Journal of Geometry and Physics publication_status: published status: public title: On elliptic solutions of the associative Yang-Baxter equation type: journal_article user_id: '49063' volume: 176 year: '2022' ... --- _id: '44624' author: - first_name: Timm full_name: Faulwasser, Timm last_name: Faulwasser - first_name: Kathrin full_name: Flaßkamp, Kathrin last_name: Flaßkamp - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum - first_name: Manuel full_name: Schaller, Manuel last_name: Schaller - first_name: Karl full_name: Worthmann, Karl last_name: Worthmann citation: ama: Faulwasser T, Flaßkamp K, Ober-Blöbaum S, Schaller M, Worthmann K. Manifold turnpikes, trims, and symmetries. Mathematics of Control, Signals, and Systems. 2022;34:759-788. apa: Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S., Schaller, M., & Worthmann, K. (2022). Manifold turnpikes, trims, and symmetries. Mathematics of Control, Signals, and Systems, 34, 759–788. bibtex: '@article{Faulwasser_Flaßkamp_Ober-Blöbaum_Schaller_Worthmann_2022, title={Manifold turnpikes, trims, and symmetries}, volume={34}, journal={Mathematics of Control, Signals, and Systems}, publisher={Springer}, author={Faulwasser, Timm and Flaßkamp, Kathrin and Ober-Blöbaum, Sina and Schaller, Manuel and Worthmann, Karl}, year={2022}, pages={759–788} }' chicago: 'Faulwasser, Timm, Kathrin Flaßkamp, Sina Ober-Blöbaum, Manuel Schaller, and Karl Worthmann. “Manifold Turnpikes, Trims, and Symmetries.” Mathematics of Control, Signals, and Systems 34 (2022): 759–88.' ieee: T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, and K. Worthmann, “Manifold turnpikes, trims, and symmetries,” Mathematics of Control, Signals, and Systems, vol. 34, pp. 759–788, 2022. mla: Faulwasser, Timm, et al. “Manifold Turnpikes, Trims, and Symmetries.” Mathematics of Control, Signals, and Systems, vol. 34, Springer, 2022, pp. 759–88. short: T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, M. Schaller, K. Worthmann, Mathematics of Control, Signals, and Systems 34 (2022) 759–788. date_created: 2023-05-08T09:04:06Z date_updated: 2023-05-08T09:04:26Z department: - _id: '636' intvolume: ' 34' language: - iso: eng page: 759-788 publication: Mathematics of Control, Signals, and Systems publisher: Springer status: public title: Manifold turnpikes, trims, and symmetries type: journal_article user_id: '15694' volume: 34 year: '2022' ... --- _id: '33741' abstract: - lang: eng text: There are many concepts of signed graph coloring which are defined by assigning colors to the vertices of the graphs. These concepts usually differ in the number of self-inverse colors used. We introduce a unifying concept for this kind of coloring by assigning elements from symmetric sets to the vertices of the signed graphs. In the first part of the paper, we study colorings with elements from symmetric sets where the number of self-inverse elements is fixed. We prove a Brooks’-type theorem and upper bounds for the corresponding chromatic numbers in terms of the chromatic number of the underlying graph. These results are used in the second part where we introduce the symset-chromatic number χsym(G,σ) of a signed graph (G,σ). We show that the symset-chromatic number gives the minimum partition of a signed graph into independent sets and non-bipartite antibalanced subgraphs. In particular, χsym(G,σ)≤χ(G). In the final section we show that these colorings can also be formalized as DP-colorings. author: - first_name: Chiara full_name: Cappello, Chiara id: '72874' last_name: Cappello - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 citation: ama: Cappello C, Steffen E. Symmetric Set Coloring of Signed Graphs. Annals of Combinatorics. Published online 2022. doi:10.1007/s00026-022-00593-4 apa: Cappello, C., & Steffen, E. (2022). Symmetric Set Coloring of Signed Graphs. Annals of Combinatorics. https://doi.org/10.1007/s00026-022-00593-4 bibtex: '@article{Cappello_Steffen_2022, title={Symmetric Set Coloring of Signed Graphs}, DOI={10.1007/s00026-022-00593-4}, journal={Annals of Combinatorics}, publisher={Springer Science and Business Media LLC}, author={Cappello, Chiara and Steffen, Eckhard}, year={2022} }' chicago: Cappello, Chiara, and Eckhard Steffen. “Symmetric Set Coloring of Signed Graphs.” Annals of Combinatorics, 2022. https://doi.org/10.1007/s00026-022-00593-4. ieee: 'C. Cappello and E. Steffen, “Symmetric Set Coloring of Signed Graphs,” Annals of Combinatorics, 2022, doi: 10.1007/s00026-022-00593-4.' mla: Cappello, Chiara, and Eckhard Steffen. “Symmetric Set Coloring of Signed Graphs.” Annals of Combinatorics, Springer Science and Business Media LLC, 2022, doi:10.1007/s00026-022-00593-4. short: C. Cappello, E. Steffen, Annals of Combinatorics (2022). date_created: 2022-10-17T07:54:41Z date_updated: 2023-05-16T10:37:58Z department: - _id: '542' doi: 10.1007/s00026-022-00593-4 external_id: arxiv: - '2106.05928' keyword: - Discrete Mathematics and Combinatorics language: - iso: eng publication: Annals of Combinatorics publication_identifier: issn: - 0218-0006 - 0219-3094 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Symmetric Set Coloring of Signed Graphs type: journal_article user_id: '15540' year: '2022' ... --- _id: '33950' author: - first_name: Chiara full_name: Cappello, Chiara id: '72874' last_name: Cappello - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 citation: ama: Cappello C, Steffen E. Frustration-critical signed graphs. Discrete Applied Mathematics. 2022;322:183-193. doi:10.1016/j.dam.2022.08.010 apa: Cappello, C., & Steffen, E. (2022). Frustration-critical signed graphs. Discrete Applied Mathematics, 322, 183–193. https://doi.org/10.1016/j.dam.2022.08.010 bibtex: '@article{Cappello_Steffen_2022, title={Frustration-critical signed graphs}, volume={322}, DOI={10.1016/j.dam.2022.08.010}, journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Cappello, Chiara and Steffen, Eckhard}, year={2022}, pages={183–193} }' chicago: 'Cappello, Chiara, and Eckhard Steffen. “Frustration-Critical Signed Graphs.” Discrete Applied Mathematics 322 (2022): 183–93. https://doi.org/10.1016/j.dam.2022.08.010.' ieee: 'C. Cappello and E. Steffen, “Frustration-critical signed graphs,” Discrete Applied Mathematics, vol. 322, pp. 183–193, 2022, doi: 10.1016/j.dam.2022.08.010.' mla: Cappello, Chiara, and Eckhard Steffen. “Frustration-Critical Signed Graphs.” Discrete Applied Mathematics, vol. 322, Elsevier BV, 2022, pp. 183–93, doi:10.1016/j.dam.2022.08.010. short: C. Cappello, E. Steffen, Discrete Applied Mathematics 322 (2022) 183–193. date_created: 2022-10-28T06:51:31Z date_updated: 2023-05-16T10:36:51Z department: - _id: '542' doi: 10.1016/j.dam.2022.08.010 external_id: arxiv: - '2112.02664' intvolume: ' 322' keyword: - Applied Mathematics - Discrete Mathematics and Combinatorics language: - iso: eng page: 183-193 publication: Discrete Applied Mathematics publication_identifier: issn: - 0166-218X publication_status: published publisher: Elsevier BV status: public title: Frustration-critical signed graphs type: journal_article user_id: '15540' volume: 322 year: '2022' ... --- _id: '45679' author: - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 - first_name: D. full_name: Reuter, D. last_name: Reuter citation: ama: 'Bruns J, Reuter D. „Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen? In: Beiträge zum Mathematikunterricht 2022. WTM-Verlag; 2022.' apa: Bruns, J., & Reuter, D. (2022). „Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen? Beiträge zum Mathematikunterricht 2022. bibtex: '@inproceedings{Bruns_Reuter_2022, title={„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?}, booktitle={Beiträge zum Mathematikunterricht 2022}, publisher={WTM-Verlag}, author={Bruns, Julia and Reuter, D.}, year={2022} }' chicago: Bruns, Julia, and D. Reuter. “„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?” In Beiträge zum Mathematikunterricht 2022. WTM-Verlag, 2022. ieee: J. Bruns and D. Reuter, “„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?,” 2022. mla: Bruns, Julia, and D. Reuter. “„Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen?” Beiträge zum Mathematikunterricht 2022, WTM-Verlag, 2022. short: 'J. Bruns, D. Reuter, in: Beiträge zum Mathematikunterricht 2022, WTM-Verlag, 2022.' date_created: 2023-06-20T18:27:40Z date_updated: 2023-06-20T18:27:55Z department: - _id: '97' - _id: '611' language: - iso: ger publication: Beiträge zum Mathematikunterricht 2022 publication_status: published publisher: WTM-Verlag status: public title: „Ich hab als Erstes die angeguckt“ – Muster- und Strukturerkennung mit Eye-Tracking besser verstehen? type: conference user_id: '49063' year: '2022' ... --- _id: '45678' author: - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 - first_name: M. full_name: Hagena, M. last_name: Hagena - first_name: H. full_name: Gasteiger, H. last_name: Gasteiger citation: ama: 'Bruns J, Hagena M, Gasteiger H. Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education. In: Hodgen J, Geraniou E, Bolondi G, Ferretti F, eds. Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). ; 2022.' apa: Bruns, J., Hagena, M., & Gasteiger, H. (2022). Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education. In J. Hodgen, E. Geraniou, G. Bolondi, & F. Ferretti (Eds.), Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12). bibtex: '@inproceedings{Bruns_Hagena_Gasteiger_2022, title={Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education}, booktitle={Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)}, author={Bruns, Julia and Hagena, M. and Gasteiger, H.}, editor={Hodgen, J. and Geraniou, E. and Bolondi, G. and Ferretti, F.}, year={2022} }' chicago: Bruns, Julia, M. Hagena, and H. Gasteiger. “Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education.” In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen, E. Geraniou, G. Bolondi, and F. Ferretti, 2022. ieee: J. Bruns, M. Hagena, and H. Gasteiger, “Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education,” in Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Free University of Bozen-Bolzano and ERME, 2022. mla: Bruns, Julia, et al. “Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education.” Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by J. Hodgen et al., 2022. short: 'J. Bruns, M. Hagena, H. Gasteiger, in: J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti (Eds.), Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), 2022.' conference: location: Free University of Bozen-Bolzano and ERME name: Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12) date_created: 2023-06-20T18:26:19Z date_updated: 2023-06-20T19:06:39Z department: - _id: '97' - _id: '611' editor: - first_name: J. full_name: Hodgen, J. last_name: Hodgen - first_name: E. full_name: Geraniou, E. last_name: Geraniou - first_name: G. full_name: Bolondi, G. last_name: Bolondi - first_name: F. full_name: Ferretti, F. last_name: Ferretti language: - iso: eng publication: Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12) publication_status: published status: public title: Effects of Facilitator Professional Development on Teachers’ Learning – An Intervention Study in the Context of Early Mathematics Education type: conference user_id: '49063' year: '2022' ... --- _id: '45677' author: - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 - first_name: W. full_name: Langer, W. last_name: Langer - first_name: J. full_name: Erhorn, J. last_name: Erhorn citation: ama: Bruns J, Langer W, Erhorn J. Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht. German Journal of Exercise and Sport Research. 2022;52(3):386–397. doi:10.1007/s12662-022-00807-0 apa: Bruns, J., Langer, W., & Erhorn, J. (2022). Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht. German Journal of Exercise and Sport Research, 52(3), 386–397. https://doi.org/10.1007/s12662-022-00807-0 bibtex: '@article{Bruns_Langer_Erhorn_2022, title={Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht}, volume={52}, DOI={10.1007/s12662-022-00807-0}, number={3}, journal={German Journal of Exercise and Sport Research}, author={Bruns, Julia and Langer, W. and Erhorn, J.}, year={2022}, pages={386–397} }' chicago: 'Bruns, Julia, W. Langer, and J. Erhorn. “Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht.” German Journal of Exercise and Sport Research 52, no. 3 (2022): 386–397. https://doi.org/10.1007/s12662-022-00807-0.' ieee: 'J. Bruns, W. Langer, and J. Erhorn, “Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht,” German Journal of Exercise and Sport Research, vol. 52, no. 3, pp. 386–397, 2022, doi: 10.1007/s12662-022-00807-0.' mla: Bruns, Julia, et al. “Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht.” German Journal of Exercise and Sport Research, vol. 52, no. 3, 2022, pp. 386–397, doi:10.1007/s12662-022-00807-0. short: J. Bruns, W. Langer, J. Erhorn, German Journal of Exercise and Sport Research 52 (2022) 386–397. date_created: 2023-06-20T18:22:54Z date_updated: 2023-06-20T19:06:58Z department: - _id: '97' - _id: '611' doi: 10.1007/s12662-022-00807-0 intvolume: ' 52' issue: '3' language: - iso: ger page: 386–397 publication: German Journal of Exercise and Sport Research publication_status: published status: public title: Entwicklung und Validierung eines videobasierten Testinstruments zur Erfassung des Noticing mit dem Fokus auf Anerkennungsprozesse im inklusiven Sportunterricht type: journal_article user_id: '49063' volume: 52 year: '2022' ... --- _id: '34820' abstract: - lang: eng text: The construct of noticing is considered to be of crucial importance for professional action of (prospective) physical education (PE) teachers in the context of (inclusive) PE. In order to implement the demands of inclusive PE teaching, noticingwith regard to processes of recognition proves to be particularly significant. Due to the relevance of physicality, the design of recognition relationships that encourage pupils' development results in specific requirements for the selective attention and the theory-based interpretation of processes of recognition and disregard in complex teaching situations. This facet of competence has hardly been studied so far, partly due to the lack of instruments for standardised assessment of this construct. In the context of this paper, the development and validation of a standardised, video vignette-based test instrument for the measurement of noticingwith regard to processes of recognition of prospective PE teachers is presented. The validation focuses on the content of the test and the internal structure of the instrument as well as on correlations with related constructs in terms of content. The results from three consecutive validation studies provide indications of the reliability and validity of the test score interpretation of the instrument ViProQiS_A. The findings so far indicate that the standardised measurement of noticingwith regard to processes of recognitionin inclusive PE could be realized on the basis of the test instrument developed here. article_type: original author: - first_name: Wiebke full_name: Langer, Wiebke last_name: Langer - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 - first_name: Jan full_name: Erhorn, Jan last_name: Erhorn citation: ama: Langer W, Bruns J, Erhorn J. Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education. German Journal of Exercise and Sport Research. 2022;52(3):386-397. doi:10.1007/s12662-022-00807-0 apa: Langer, W., Bruns, J., & Erhorn, J. (2022). Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education. German Journal of Exercise and Sport Research, 52(3), 386–397. https://doi.org/10.1007/s12662-022-00807-0 bibtex: '@article{Langer_Bruns_Erhorn_2022, title={Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education}, volume={52}, DOI={10.1007/s12662-022-00807-0}, number={3}, journal={German Journal of Exercise and Sport Research}, publisher={Springer}, author={Langer, Wiebke and Bruns, Julia and Erhorn, Jan}, year={2022}, pages={386–397} }' chicago: 'Langer, Wiebke, Julia Bruns, and Jan Erhorn. “Development and Validation of a Video-Based Test Instrument to Measure Noticing with Regard to Processes Ofrecognition in Inclusive Physical Education.” German Journal of Exercise and Sport Research 52, no. 3 (2022): 386–97. https://doi.org/10.1007/s12662-022-00807-0.' ieee: 'W. Langer, J. Bruns, and J. Erhorn, “Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education,” German Journal of Exercise and Sport Research, vol. 52, no. 3, pp. 386–397, 2022, doi: 10.1007/s12662-022-00807-0.' mla: Langer, Wiebke, et al. “Development and Validation of a Video-Based Test Instrument to Measure Noticing with Regard to Processes Ofrecognition in Inclusive Physical Education.” German Journal of Exercise and Sport Research, vol. 52, no. 3, Springer, 2022, pp. 386–97, doi:10.1007/s12662-022-00807-0. short: W. Langer, J. Bruns, J. Erhorn, German Journal of Exercise and Sport Research 52 (2022) 386–397. date_created: 2022-12-22T09:22:45Z date_updated: 2023-06-20T19:10:42Z department: - _id: '97' - _id: '611' doi: 10.1007/s12662-022-00807-0 external_id: isi: - '000788945100004' intvolume: ' 52' isi: '1' issue: '3' keyword: - Physical education teacher education - Competence modelling and - measurement - Inclusive physical education - Video-based items - Noticing language: - iso: eng page: 386-397 publication: German Journal of Exercise and Sport Research publication_identifier: eissn: - 2509-3150 issn: - 2509-3142 publication_status: published publisher: Springer quality_controlled: '1' status: public title: Development and validation of a video-based test instrument to measure noticing with regard to processes ofrecognition in inclusive physical education type: journal_article user_id: '49063' volume: 52 year: '2022' ... --- _id: '34819' abstract: - lang: eng text: Teachers expect facilitators to have own teaching experience as a teacher in order to be able to carry out effective teacher professional development programs. As part of the project EmMa(M), it is investigated, to which extent the teaching experience of facilitators influences the development of early childhood teachers' (n = 83) mathematical pedagogical content knowledge (MPCK) and early childhood teachers' enjoyment of mathematics in the context of a teacher professional development program. It turns out that the teaching experience of the facilitators has no influence on the development of early childhood teachers' MPCK, but favors the development of early childhood teachers' enjoyment of mathematics. Controlling for this increased enjoyment an influence of teaching experience on the development of early childhood teachers' MPCK emerges, but in favor of the participating facilitators who have no teaching experience but have a university degree. article_type: original author: - first_name: Maike full_name: Hagena, Maike last_name: Hagena - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 - first_name: Hedwig full_name: Gasteiger, Hedwig last_name: Gasteiger citation: ama: Hagena M, Bruns J, Gasteiger H. Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft. Zeitschrift für Erziehungswissenschaft. 2022;25(6):1455–1480. doi:10.1007/s11618-022-01122-y apa: Hagena, M., Bruns, J., & Gasteiger, H. (2022). Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft. Zeitschrift für Erziehungswissenschaft, 25(6), 1455–1480. https://doi.org/10.1007/s11618-022-01122-y bibtex: '@article{Hagena_Bruns_Gasteiger_2022, title={Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft}, volume={25}, DOI={10.1007/s11618-022-01122-y}, number={6}, journal={Zeitschrift für Erziehungswissenschaft}, publisher={Springer Vieweg-springer Fachmedien Wiesbaden Gmbh}, author={Hagena, Maike and Bruns, Julia and Gasteiger, Hedwig}, year={2022}, pages={1455–1480} }' chicago: 'Hagena, Maike, Julia Bruns, and Hedwig Gasteiger. “Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft.” Zeitschrift für Erziehungswissenschaft 25, no. 6 (2022): 1455–1480. https://doi.org/10.1007/s11618-022-01122-y.' ieee: 'M. Hagena, J. Bruns, and H. Gasteiger, “Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft,” Zeitschrift für Erziehungswissenschaft, vol. 25, no. 6, pp. 1455–1480, 2022, doi: 10.1007/s11618-022-01122-y.' mla: Hagena, Maike, et al. “Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft.” Zeitschrift für Erziehungswissenschaft, vol. 25, no. 6, Springer Vieweg-springer Fachmedien Wiesbaden Gmbh, 2022, pp. 1455–1480, doi:10.1007/s11618-022-01122-y. short: M. Hagena, J. Bruns, H. Gasteiger, Zeitschrift für Erziehungswissenschaft 25 (2022) 1455–1480. date_created: 2022-12-22T09:22:45Z date_updated: 2023-06-20T19:10:11Z department: - _id: '611' - _id: '97' doi: 10.1007/s11618-022-01122-y external_id: isi: - '000852117800001' intvolume: ' 25' isi: '1' issue: '6' keyword: - Facilitator professional development - Early childhood teachers - Teaching - experience - Early mathematics education language: - iso: ger page: 1455–1480 publication: Zeitschrift für Erziehungswissenschaft publication_identifier: eissn: - 1862-5215 issn: - 1434-663X publication_status: published publisher: Springer Vieweg-springer Fachmedien Wiesbaden Gmbh quality_controlled: '1' status: public title: Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft type: journal_article user_id: '49063' volume: 25 year: '2022' ... --- _id: '36472' author: - first_name: Dinah full_name: Reuter, Dinah last_name: Reuter - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 citation: ama: 'Reuter D, Bruns J. Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich. In: Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Springer Berlin Heidelberg; 2022. doi:10.1007/978-3-662-63214-7_3' apa: Reuter, D., & Bruns, J. (2022). Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich. In Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-63214-7_3 bibtex: '@inbook{Reuter_Bruns_2022, place={Berlin, Heidelberg}, title={Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich}, DOI={10.1007/978-3-662-63214-7_3}, booktitle={Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik}, publisher={Springer Berlin Heidelberg}, author={Reuter, Dinah and Bruns, Julia}, year={2022} }' chicago: 'Reuter, Dinah, and Julia Bruns. “Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich.” In Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik. Berlin, Heidelberg: Springer Berlin Heidelberg, 2022. https://doi.org/10.1007/978-3-662-63214-7_3.' ieee: 'D. Reuter and J. Bruns, “Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich,” in Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik, Berlin, Heidelberg: Springer Berlin Heidelberg, 2022.' mla: Reuter, Dinah, and Julia Bruns. “Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich.” Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik, Springer Berlin Heidelberg, 2022, doi:10.1007/978-3-662-63214-7_3. short: 'D. Reuter, J. Bruns, in: Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2022.' date_created: 2023-01-12T14:51:59Z date_updated: 2023-06-20T19:10:24Z department: - _id: '97' - _id: '611' doi: 10.1007/978-3-662-63214-7_3 language: - iso: ger place: Berlin, Heidelberg publication: Eye-Tracking in der Mathematik- und Naturwissenschaftsdidaktik publication_identifier: isbn: - '9783662632130' - '9783662632147' publication_status: published publisher: Springer Berlin Heidelberg quality_controlled: '1' status: public title: Muster- und Strukturerkennungsprozesse bei potenziell mathematisch begabten Grundschulkindern untersuchen – Das Potenzial von Eye-Tracking und retrospektivem Interview im Vergleich type: book_chapter user_id: '49063' year: '2022' ... --- _id: '45334' author: - first_name: Johanna full_name: Schönherr, Johanna id: '99409' last_name: Schönherr - first_name: S. full_name: Schukajlow, S. last_name: Schukajlow - first_name: J. full_name: Blomberg, J. last_name: Blomberg - first_name: C. full_name: Leopold, C. last_name: Leopold citation: ama: 'Schönherr J, Schukajlow S, Blomberg J, Leopold C. Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy. Applied Cognitive Psychology, ac3930. 2022;36(2):402-417. doi:10.1002/acp.3930' apa: 'Schönherr, J., Schukajlow, S., Blomberg, J., & Leopold, C. (2022). Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy. Applied Cognitive Psychology, Ac3930, 36(2), 402–417. https://doi.org/10.1002/acp.3930' bibtex: '@article{Schönherr_Schukajlow_Blomberg_Leopold_2022, title={Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy}, volume={36}, DOI={10.1002/acp.3930}, number={2}, journal={Applied Cognitive Psychology, ac3930}, author={Schönherr, Johanna and Schukajlow, S. and Blomberg, J. and Leopold, C.}, year={2022}, pages={402–417} }' chicago: 'Schönherr, Johanna, S. Schukajlow, J. Blomberg, and C. Leopold. “Effects of Drawing Instructions and Strategic Knowledge on Mathematical Modeling Performance: Mediated by the Use of the Drawing Strategy.” Applied Cognitive Psychology, Ac3930 36, no. 2 (2022): 402–17. https://doi.org/10.1002/acp.3930.' ieee: 'J. Schönherr, S. Schukajlow, J. Blomberg, and C. Leopold, “Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy,” Applied Cognitive Psychology, ac3930, vol. 36, no. 2, pp. 402–417, 2022, doi: 10.1002/acp.3930.' mla: 'Schönherr, Johanna, et al. “Effects of Drawing Instructions and Strategic Knowledge on Mathematical Modeling Performance: Mediated by the Use of the Drawing Strategy.” Applied Cognitive Psychology, Ac3930, vol. 36, no. 2, 2022, pp. 402–17, doi:10.1002/acp.3930.' short: J. Schönherr, S. Schukajlow, J. Blomberg, C. Leopold, Applied Cognitive Psychology, Ac3930 36 (2022) 402–417. date_created: 2023-05-29T17:25:47Z date_updated: 2023-06-20T19:23:52Z department: - _id: '97' doi: 10.1002/acp.3930 extern: '1' intvolume: ' 36' issue: '2' language: - iso: eng page: 402-417 publication: Applied Cognitive Psychology, ac3930 publication_status: published status: public title: 'Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy' type: journal_article user_id: '49063' volume: 36 year: '2022' ... --- _id: '45339' author: - first_name: Johanna full_name: Schönherr, Johanna id: '99409' last_name: Schönherr - first_name: S. full_name: Schukajlow, S. last_name: Schukajlow - first_name: C. full_name: Leopold, C. last_name: Leopold citation: ama: 'Schönherr J, Schukajlow S, Leopold C. Drawing instructions, strategic knowledge, strategy-based motivation, and students’ use of drawings. In: Proceedings of the 45th PME Conference. Vol 3. ; 2022:347–354.' apa: Schönherr, J., Schukajlow, S., & Leopold, C. (2022). Drawing instructions, strategic knowledge, strategy-based motivation, and students’ use of drawings. Proceedings of the 45th PME Conference, 3, 347–354. bibtex: '@inproceedings{Schönherr_Schukajlow_Leopold_2022, title={Drawing instructions, strategic knowledge, strategy-based motivation, and students’ use of drawings}, volume={3}, booktitle={Proceedings of the 45th PME Conference}, author={Schönherr, Johanna and Schukajlow, S. and Leopold, C.}, year={2022}, pages={347–354} }' chicago: Schönherr, Johanna, S. Schukajlow, and C. Leopold. “Drawing Instructions, Strategic Knowledge, Strategy-Based Motivation, and Students’ Use of Drawings.” In Proceedings of the 45th PME Conference, 3:347–354, 2022. ieee: J. Schönherr, S. Schukajlow, and C. Leopold, “Drawing instructions, strategic knowledge, strategy-based motivation, and students’ use of drawings,” in Proceedings of the 45th PME Conference, 2022, vol. 3, pp. 347–354. mla: Schönherr, Johanna, et al. “Drawing Instructions, Strategic Knowledge, Strategy-Based Motivation, and Students’ Use of Drawings.” Proceedings of the 45th PME Conference, vol. 3, 2022, pp. 347–354. short: 'J. Schönherr, S. Schukajlow, C. Leopold, in: Proceedings of the 45th PME Conference, 2022, pp. 347–354.' date_created: 2023-05-29T17:34:03Z date_updated: 2023-06-20T19:27:24Z department: - _id: '97' extern: '1' intvolume: ' 3' language: - iso: eng page: 347–354 publication: Proceedings of the 45th PME Conference publication_status: published status: public title: Drawing instructions, strategic knowledge, strategy-based motivation, and students' use of drawings type: conference user_id: '49063' volume: 3 year: '2022' ... --- _id: '45854' abstract: - lang: eng text: In a previous paper the authors developed an algorithm to classify certain quaternary quadratic lattices over totally real fields. The present article applies this algorithm to the classification of binary Hermitian lattices over totally imaginary fields. We use it in particular to classify the 48-dimensional extremal even unimodular lattices over the integers that admit a semilarge automorphism. author: - first_name: Markus full_name: Kirschmer, Markus id: '82258' last_name: Kirschmer - first_name: Gabriele full_name: Nebe, Gabriele last_name: Nebe citation: ama: Kirschmer M, Nebe G. Binary Hermitian Lattices over Number Fields. Experimental Mathematics. 2022;31(1):280-301. doi:10.1080/10586458.2019.1618756 apa: Kirschmer, M., & Nebe, G. (2022). Binary Hermitian Lattices over Number Fields. Experimental Mathematics, 31(1), 280–301. https://doi.org/10.1080/10586458.2019.1618756 bibtex: '@article{Kirschmer_Nebe_2022, title={Binary Hermitian Lattices over Number Fields}, volume={31}, DOI={10.1080/10586458.2019.1618756}, number={1}, journal={Experimental Mathematics}, publisher={Informa UK Limited}, author={Kirschmer, Markus and Nebe, Gabriele}, year={2022}, pages={280–301} }' chicago: 'Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number Fields.” Experimental Mathematics 31, no. 1 (2022): 280–301. https://doi.org/10.1080/10586458.2019.1618756.' ieee: 'M. Kirschmer and G. Nebe, “Binary Hermitian Lattices over Number Fields,” Experimental Mathematics, vol. 31, no. 1, pp. 280–301, 2022, doi: 10.1080/10586458.2019.1618756.' mla: Kirschmer, Markus, and Gabriele Nebe. “Binary Hermitian Lattices over Number Fields.” Experimental Mathematics, vol. 31, no. 1, Informa UK Limited, 2022, pp. 280–301, doi:10.1080/10586458.2019.1618756. short: M. Kirschmer, G. Nebe, Experimental Mathematics 31 (2022) 280–301. date_created: 2023-07-04T08:28:04Z date_updated: 2023-07-04T08:29:22Z department: - _id: '102' doi: 10.1080/10586458.2019.1618756 intvolume: ' 31' issue: '1' keyword: - General Mathematics language: - iso: eng page: 280-301 publication: Experimental Mathematics publication_identifier: issn: - 1058-6458 - 1944-950X publication_status: published publisher: Informa UK Limited status: public title: Binary Hermitian Lattices over Number Fields type: journal_article user_id: '93826' volume: 31 year: '2022' ... --- _id: '34677' article_number: '96' author: - first_name: Tobias full_name: Black, Tobias id: '23686' last_name: Black orcid: 0000-0001-9963-0800 - first_name: Chunyan full_name: Wu, Chunyan last_name: Wu citation: ama: 'Black T, Wu C. Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation. Calculus of Variations and Partial Differential Equations. 2022;61(3). doi:10.1007/s00526-022-02201-y' apa: 'Black, T., & Wu, C. (2022). Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation. Calculus of Variations and Partial Differential Equations, 61(3), Article 96. https://doi.org/10.1007/s00526-022-02201-y' bibtex: '@article{Black_Wu_2022, title={Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation}, volume={61}, DOI={10.1007/s00526-022-02201-y}, number={396}, journal={Calculus of Variations and Partial Differential Equations}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Wu, Chunyan}, year={2022} }' chicago: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” Calculus of Variations and Partial Differential Equations 61, no. 3 (2022). https://doi.org/10.1007/s00526-022-02201-y.' ieee: 'T. Black and C. Wu, “Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation,” Calculus of Variations and Partial Differential Equations, vol. 61, no. 3, Art. no. 96, 2022, doi: 10.1007/s00526-022-02201-y.' mla: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.” Calculus of Variations and Partial Differential Equations, vol. 61, no. 3, 96, Springer Science and Business Media LLC, 2022, doi:10.1007/s00526-022-02201-y.' short: T. Black, C. Wu, Calculus of Variations and Partial Differential Equations 61 (2022). date_created: 2022-12-21T09:50:59Z date_updated: 2023-07-10T11:37:27Z department: - _id: '34' - _id: '10' - _id: '90' doi: 10.1007/s00526-022-02201-y intvolume: ' 61' issue: '3' keyword: - Applied Mathematics - Analysis language: - iso: eng publication: Calculus of Variations and Partial Differential Equations publication_identifier: issn: - 0944-2669 - 1432-0835 publication_status: published publisher: Springer Science and Business Media LLC status: public title: 'Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation' type: journal_article user_id: '23686' volume: 61 year: '2022' ... --- _id: '46163' author: - first_name: Tim full_name: Kolbe, Tim last_name: Kolbe - first_name: Lena full_name: Wessel, Lena id: '85190' last_name: Wessel citation: ama: 'Kolbe T, Wessel L. Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies. In: Fourth Conference of the International Network for Didactic Research in University Mathematics. ; 2022.' apa: 'Kolbe, T., & Wessel, L. (2022). Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies. Fourth Conference of the International Network for Didactic Research in University Mathematics.' bibtex: '@inproceedings{Kolbe_Wessel_2022, title={Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies}, booktitle={Fourth conference of the International Network for Didactic Research in University Mathematics}, author={Kolbe, Tim and Wessel, Lena}, year={2022} }' chicago: 'Kolbe, Tim, and Lena Wessel. “Self-Regulated Learning in a Mathematics Course for Engineers in the First Semester: Insights into Students Reported Resource Management and Cognitive Strategies.” In Fourth Conference of the International Network for Didactic Research in University Mathematics, 2022.' ieee: 'T. Kolbe and L. Wessel, “Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies,” 2022.' mla: 'Kolbe, Tim, and Lena Wessel. “Self-Regulated Learning in a Mathematics Course for Engineers in the First Semester: Insights into Students Reported Resource Management and Cognitive Strategies.” Fourth Conference of the International Network for Didactic Research in University Mathematics, 2022.' short: 'T. Kolbe, L. Wessel, in: Fourth Conference of the International Network for Didactic Research in University Mathematics, 2022.' date_created: 2023-07-26T10:58:42Z date_updated: 2023-07-26T11:03:25Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '643' language: - iso: eng publication: Fourth conference of the International Network for Didactic Research in University Mathematics status: public title: 'Self-regulated learning in a mathematics course for engineers in the first semester: insights into students reported resource management and cognitive strategies' type: conference user_id: '37888' year: '2022' ... --- _id: '19941' 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." article_type: original author: - first_name: Robert I full_name: McLachlan, Robert I last_name: McLachlan - first_name: Christian full_name: Offen, Christian id: '85279' last_name: Offen orcid: https://orcid.org/0000-0002-5940-8057 citation: 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 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} }' 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.' 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. short: R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471. date_created: 2020-10-06T16:33:19Z date_updated: 2023-08-10T08:44:55Z ddc: - '510' department: - _id: '636' doi: 10.3934/jgm.2022014 external_id: arxiv: - '2006.14172' file: - access_level: open_access content_type: application/pdf creator: coffen date_created: 2022-06-13T09:11:38Z date_updated: 2022-06-13T09:11:38Z description: |- In backward error analysis, an approximate solution to an equa- tion 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 appli- cability of the theory. Therefore, we study symmetric solutions of discretized partial 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. file_id: '31859' file_name: 2_BlendedBEASymmPDE.pdf file_size: 1507248 relation: main_file title: Backward error analysis for variational discretisations of PDEs file_date_updated: 2022-06-13T09:11:38Z has_accepted_license: '1' intvolume: ' 14' issue: '3' language: - iso: eng oa: '1' page: 447 - 471 publication: Journal of Geometric Mechanics publication_status: published publisher: AIMS related_material: link: - relation: software url: https://github.com/Christian-Offen/multisymplectic status: public title: Backward error analysis for variational discretisations of partial differential equations type: journal_article user_id: '85279' volume: 14 year: '2022' ...