[{"page":"22-33","_id":"59053","language":[{"iso":"ger"}],"user_id":"37888","volume":45,"status":"public","year":"2025","title":"Förderung von statistischem Denken im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten","author":[{"first_name":"Daniel","last_name":"Frischemeier","full_name":"Frischemeier, Daniel"},{"first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf","id":"16274"}],"date_updated":"2025-03-17T09:03:05Z","intvolume":"        45","date_created":"2025-03-17T09:02:59Z","type":"journal_article","department":[{"_id":"363"}],"publication":"Stochastik in der Schule","issue":"1","citation":{"mla":"Frischemeier, Daniel, and Rolf Biehler. “Förderung von statistischem Denken im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten.” <i>Stochastik in der Schule</i>, vol. 45, no. 1, 2025, pp. 22–33.","bibtex":"@article{Frischemeier_Biehler_2025, title={Förderung von statistischem Denken im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten}, volume={45}, number={1}, journal={Stochastik in der Schule}, author={Frischemeier, Daniel and Biehler, Rolf}, year={2025}, pages={22–33} }","ama":"Frischemeier D, Biehler R. Förderung von statistischem Denken im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten. <i>Stochastik in der Schule</i>. 2025;45(1):22-33.","ieee":"D. Frischemeier and R. Biehler, “Förderung von statistischem Denken im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten,” <i>Stochastik in der Schule</i>, vol. 45, no. 1, pp. 22–33, 2025.","apa":"Frischemeier, D., &#38; Biehler, R. (2025). Förderung von statistischem Denken im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten. <i>Stochastik in der Schule</i>, <i>45</i>(1), 22–33.","short":"D. Frischemeier, R. Biehler, Stochastik in der Schule 45 (2025) 22–33.","chicago":"Frischemeier, Daniel, and Rolf Biehler. “Förderung von statistischem Denken im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten.” <i>Stochastik in der Schule</i> 45, no. 1 (2025): 22–33."}},{"abstract":[{"lang":"eng","text":"An r-regular graph is an r-graph, if every odd set of vertices is connected to its complement by at least r edges. Let G and H be r-graphs. An H-coloring of G is a mapping such that each r adjacent edges of G are mapped to r adjacent edges of H. For every , let be an inclusion-wise minimal set of connected r-graphs, such that for every connected r-graph G there is an which colors G. The Petersen Coloring Conjecture states that consists of the Petersen graph P. We show that if true, then this is a very exclusive situation. Our main result is that either or is an infinite set and if , then is an infinite set. In particular, for all , is unique. We first characterize and then prove that if contains more than one element, then it is an infinite set. To obtain our main result we show that contains the smallest r-graphs of class 2 and the smallest poorly matchable r-graphs, and we determine the smallest r-graphs of class 2."}],"publication":"Combinatorica","issue":"2","type":"journal_article","department":[{"_id":"542"}],"date_created":"2025-03-27T09:46:34Z","publication_status":"published","date_updated":"2025-03-27T09:48:48Z","intvolume":"        45","year":"2025","title":"Sets of r-Graphs that Color All r-Graphs","author":[{"last_name":"Ma","first_name":"Yulai","full_name":"Ma, Yulai"},{"first_name":"Davide","last_name":"Mattiolo","full_name":"Mattiolo, Davide"},{"id":"15548","last_name":"Steffen","orcid":"0000-0002-9808-7401","first_name":"Eckhard","full_name":"Steffen, Eckhard"},{"last_name":"Wolf","first_name":"Isaak H.","full_name":"Wolf, Isaak H."}],"publication_identifier":{"issn":["0209-9683","1439-6912"]},"doi":"10.1007/s00493-025-00144-4","article_number":"16","language":[{"iso":"eng"}],"citation":{"mla":"Ma, Yulai, et al. “Sets of R-Graphs That Color All r-Graphs.” <i>Combinatorica</i>, vol. 45, no. 2, 16, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s00493-025-00144-4\">10.1007/s00493-025-00144-4</a>.","ama":"Ma Y, Mattiolo D, Steffen E, Wolf IH. Sets of r-Graphs that Color All r-Graphs. <i>Combinatorica</i>. 2025;45(2). doi:<a href=\"https://doi.org/10.1007/s00493-025-00144-4\">10.1007/s00493-025-00144-4</a>","bibtex":"@article{Ma_Mattiolo_Steffen_Wolf_2025, title={Sets of r-Graphs that Color All r-Graphs}, volume={45}, DOI={<a href=\"https://doi.org/10.1007/s00493-025-00144-4\">10.1007/s00493-025-00144-4</a>}, number={216}, journal={Combinatorica}, publisher={Springer Science and Business Media LLC}, author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf, Isaak H.}, year={2025} }","apa":"Ma, Y., Mattiolo, D., Steffen, E., &#38; Wolf, I. H. (2025). Sets of r-Graphs that Color All r-Graphs. <i>Combinatorica</i>, <i>45</i>(2), Article 16. <a href=\"https://doi.org/10.1007/s00493-025-00144-4\">https://doi.org/10.1007/s00493-025-00144-4</a>","ieee":"Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Sets of r-Graphs that Color All r-Graphs,” <i>Combinatorica</i>, vol. 45, no. 2, Art. no. 16, 2025, doi: <a href=\"https://doi.org/10.1007/s00493-025-00144-4\">10.1007/s00493-025-00144-4</a>.","short":"Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, Combinatorica 45 (2025).","chicago":"Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak H. Wolf. “Sets of R-Graphs That Color All r-Graphs.” <i>Combinatorica</i> 45, no. 2 (2025). <a href=\"https://doi.org/10.1007/s00493-025-00144-4\">https://doi.org/10.1007/s00493-025-00144-4</a>."},"status":"public","user_id":"15540","volume":45,"publisher":"Springer Science and Business Media LLC","_id":"59169"},{"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","date_created":"2025-06-13T11:12:23Z","citation":{"ama":"Black T. Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system. <i>Journal of Differential Equations</i>. 2025;443. doi:<a href=\"https://doi.org/10.1016/j.jde.2025.113555\">10.1016/j.jde.2025.113555</a>","bibtex":"@article{Black_2025, title={Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system}, volume={443}, DOI={<a href=\"https://doi.org/10.1016/j.jde.2025.113555\">10.1016/j.jde.2025.113555</a>}, number={113555}, journal={Journal of Differential Equations}, publisher={Elsevier BV}, author={Black, Tobias}, year={2025} }","mla":"Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity: Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes System.” <i>Journal of Differential Equations</i>, vol. 443, 113555, Elsevier BV, 2025, doi:<a href=\"https://doi.org/10.1016/j.jde.2025.113555\">10.1016/j.jde.2025.113555</a>.","chicago":"Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity: Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes System.” <i>Journal of Differential Equations</i> 443 (2025). <a href=\"https://doi.org/10.1016/j.jde.2025.113555\">https://doi.org/10.1016/j.jde.2025.113555</a>.","short":"T. Black, Journal of Differential Equations 443 (2025).","apa":"Black, T. (2025). Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system. <i>Journal of Differential Equations</i>, <i>443</i>, Article 113555. <a href=\"https://doi.org/10.1016/j.jde.2025.113555\">https://doi.org/10.1016/j.jde.2025.113555</a>","ieee":"T. Black, “Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system,” <i>Journal of Differential Equations</i>, vol. 443, Art. no. 113555, 2025, doi: <a href=\"https://doi.org/10.1016/j.jde.2025.113555\">10.1016/j.jde.2025.113555</a>."},"publication":"Journal of Differential Equations","volume":443,"user_id":"23686","doi":"10.1016/j.jde.2025.113555","_id":"60205","publisher":"Elsevier BV","language":[{"iso":"eng"}],"article_number":"113555","intvolume":"       443","publication_status":"published","date_updated":"2025-06-13T11:13:22Z","publication_identifier":{"issn":["0022-0396"]},"author":[{"id":"23686","full_name":"Black, Tobias","orcid":"0000-0001-9963-0800","first_name":"Tobias","last_name":"Black"}],"status":"public","title":"Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system","year":"2025"},{"user_id":"113768","language":[{"iso":"eng"}],"_id":"60293","date_updated":"2025-06-22T08:03:20Z","year":"2025","title":"Box-Covariances of Hyperuniform Point Processes","status":"public","author":[{"id":"113768","full_name":"Jalowy, Jonas","last_name":"Jalowy","orcid":"0000-0001-9624-2685","first_name":"Jonas"},{"last_name":"Stange","first_name":"Hanna","full_name":"Stange, Hanna"}],"type":"preprint","department":[{"_id":"94"}],"external_id":{"arxiv":["2506.13661"]},"date_created":"2025-06-22T08:02:28Z","abstract":[{"lang":"eng","text":"In this work, we present a complete characterization of the covariance\r\nstructure of number statistics in boxes for hyperuniform point processes. Under\r\na standard integrability assumption, the covariance depends solely on the\r\noverlap of the faces of the box. Beyond this assumption, a novel interpolating\r\ncovariance structure emerges. This enables us to identify a limiting Gaussian\r\n'coarse-grained' process, counting the number of points in large boxes as a\r\nfunction of the box position. Depending on the integrability assumption, this\r\nprocess may be continuous or discontinuous, e.g. in d=1 it is given by an\r\nincrement process of a fractional Brownian motion."}],"publication":"arXiv:2506.13661","citation":{"apa":"Jalowy, J., &#38; Stange, H. (2025). Box-Covariances of Hyperuniform Point Processes. In <i>arXiv:2506.13661</i>.","ieee":"J. Jalowy and H. Stange, “Box-Covariances of Hyperuniform Point Processes,” <i>arXiv:2506.13661</i>. 2025.","chicago":"Jalowy, Jonas, and Hanna Stange. “Box-Covariances of Hyperuniform Point Processes.” <i>ArXiv:2506.13661</i>, 2025.","short":"J. Jalowy, H. Stange, ArXiv:2506.13661 (2025).","mla":"Jalowy, Jonas, and Hanna Stange. “Box-Covariances of Hyperuniform Point Processes.” <i>ArXiv:2506.13661</i>, 2025.","ama":"Jalowy J, Stange H. Box-Covariances of Hyperuniform Point Processes. <i>arXiv:250613661</i>. Published online 2025.","bibtex":"@article{Jalowy_Stange_2025, title={Box-Covariances of Hyperuniform Point Processes}, journal={arXiv:2506.13661}, author={Jalowy, Jonas and Stange, Hanna}, year={2025} }"}},{"doi":"10.4171/mag/257","user_id":"37888","main_file_link":[{"open_access":"1","url":"https://doi.org/10.4171/MAG/257"}],"publisher":"European Mathematical Society - EMS - Publishing House GmbH","_id":"60351","language":[{"iso":"eng"}],"date_updated":"2025-06-24T06:59:42Z","publication_status":"published","year":"2025","status":"public","title":"Statistics and data science education as a vehicle for empowering citizens – short summary of a survey","publication_identifier":{"issn":["2747-7894","2747-7908"]},"author":[{"id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"},{"first_name":"Takashi","last_name":"Kawakami","full_name":"Kawakami, Takashi"},{"last_name":"Lampen","first_name":"Erna","full_name":"Lampen, Erna"},{"first_name":"Travis","last_name":"Weiland","full_name":"Weiland, Travis"},{"first_name":"Lucía","last_name":"Zapata-Cardona","full_name":"Zapata-Cardona, Lucía"}],"type":"journal_article","oa":"1","department":[{"_id":"363"}],"date_created":"2025-06-24T06:58:17Z","abstract":[{"text":"<jats:p>This article is a short summary of the report of survey team 3, presented to the 15th International Congress on Mathematical Education (ICME-15) in Sydney in July 2024.</jats:p>","lang":"eng"}],"publication":"European Mathematical Society Magazine","citation":{"ama":"Biehler R, Kawakami T, Lampen E, Weiland T, Zapata-Cardona L. Statistics and data science education as a vehicle for empowering citizens – short summary of a survey. <i>European Mathematical Society Magazine</i>. Published online 2025. doi:<a href=\"https://doi.org/10.4171/mag/257\">10.4171/mag/257</a>","bibtex":"@article{Biehler_Kawakami_Lampen_Weiland_Zapata-Cardona_2025, title={Statistics and data science education as a vehicle for empowering citizens – short summary of a survey}, DOI={<a href=\"https://doi.org/10.4171/mag/257\">10.4171/mag/257</a>}, journal={European Mathematical Society Magazine}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Biehler, Rolf and Kawakami, Takashi and Lampen, Erna and Weiland, Travis and Zapata-Cardona, Lucía}, year={2025} }","mla":"Biehler, Rolf, et al. “Statistics and Data Science Education as a Vehicle for Empowering Citizens – Short Summary of a Survey.” <i>European Mathematical Society Magazine</i>, European Mathematical Society - EMS - Publishing House GmbH, 2025, doi:<a href=\"https://doi.org/10.4171/mag/257\">10.4171/mag/257</a>.","short":"R. Biehler, T. Kawakami, E. Lampen, T. Weiland, L. Zapata-Cardona, European Mathematical Society Magazine (2025).","chicago":"Biehler, Rolf, Takashi Kawakami, Erna Lampen, Travis Weiland, and Lucía Zapata-Cardona. “Statistics and Data Science Education as a Vehicle for Empowering Citizens – Short Summary of a Survey.” <i>European Mathematical Society Magazine</i>, 2025. <a href=\"https://doi.org/10.4171/mag/257\">https://doi.org/10.4171/mag/257</a>.","apa":"Biehler, R., Kawakami, T., Lampen, E., Weiland, T., &#38; Zapata-Cardona, L. (2025). Statistics and data science education as a vehicle for empowering citizens – short summary of a survey. <i>European Mathematical Society Magazine</i>. <a href=\"https://doi.org/10.4171/mag/257\">https://doi.org/10.4171/mag/257</a>","ieee":"R. Biehler, T. Kawakami, E. Lampen, T. Weiland, and L. Zapata-Cardona, “Statistics and data science education as a vehicle for empowering citizens – short summary of a survey,” <i>European Mathematical Society Magazine</i>, 2025, doi: <a href=\"https://doi.org/10.4171/mag/257\">10.4171/mag/257</a>."}},{"ddc":["510"],"user_id":"85279","_id":"53805","publisher":"American Mathematical Society","has_accepted_license":"1","status":"public","oa":"1","external_id":{"arxiv":["arXiv:2404.19626"]},"project":[{"name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"quality_controlled":"1","citation":{"mla":"Offen, Christian. “Machine Learning of Continuous and Discrete Variational ODEs with Convergence Guarantee and Uncertainty Quantification.” <i>Mathematics of Computation</i>, American Mathematical Society, 2025, doi:<a href=\"https://doi.org/10.1090/mcom/4120\">10.1090/mcom/4120</a>.","bibtex":"@article{Offen_2025, title={Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification}, DOI={<a href=\"https://doi.org/10.1090/mcom/4120\">10.1090/mcom/4120</a>}, journal={Mathematics of Computation}, publisher={American Mathematical Society}, author={Offen, Christian}, year={2025} }","ama":"Offen C. Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification. <i>Mathematics of Computation</i>. Published online 2025. doi:<a href=\"https://doi.org/10.1090/mcom/4120\">10.1090/mcom/4120</a>","ieee":"C. Offen, “Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification,” <i>Mathematics of Computation</i>, 2025, doi: <a href=\"https://doi.org/10.1090/mcom/4120\">10.1090/mcom/4120</a>.","apa":"Offen, C. (2025). Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification. <i>Mathematics of Computation</i>. <a href=\"https://doi.org/10.1090/mcom/4120\">https://doi.org/10.1090/mcom/4120</a>","chicago":"Offen, Christian. “Machine Learning of Continuous and Discrete Variational ODEs with Convergence Guarantee and Uncertainty Quantification.” <i>Mathematics of Computation</i>, 2025. <a href=\"https://doi.org/10.1090/mcom/4120\">https://doi.org/10.1090/mcom/4120</a>.","short":"C. Offen, Mathematics of Computation (2025)."},"file_date_updated":"2025-05-02T13:20:31Z","doi":"10.1090/mcom/4120","language":[{"iso":"eng"}],"article_type":"original","date_updated":"2025-06-29T13:03:55Z","publication_status":"epub_ahead","author":[{"id":"85279","first_name":"Christian","orcid":"0000-0002-5940-8057","last_name":"Offen","full_name":"Offen, Christian"}],"year":"2025","title":"Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification","department":[{"_id":"636"}],"type":"journal_article","date_created":"2024-04-30T16:04:40Z","file":[{"date_created":"2025-05-02T13:20:31Z","description":"The article introduces a method to learn dynamical systems that\nare governed by Euler–Lagrange equations from data. The method is based on\nGaussian process regression and identifies continuous or discrete Lagrangians\nand is, therefore, structure preserving by design. A rigorous proof of con-\nvergence as the distance between observation data points converges to zero\nand lower bounds for convergence rates are provided. Next to convergence\nguarantees, the method allows for quantification of model uncertainty, which\ncan provide a basis of adaptive sampling techniques. We provide efficient uncertainty quantification of any observable that is linear in the Lagrangian,\nincluding of Hamiltonian functions (energy) and symplectic structures, which\nis of interest in the context of system identification. The article overcomes\nmajor practical and theoretical difficulties related to the ill-posedness of the\nidentification task of (discrete) Lagrangians through a careful design of geometric regularisation strategies and through an exploit of a relation to convex\nminimisation problems in reproducing kernel Hilbert spaces.","creator":"coffen","file_id":"59759","content_type":"application/pdf","title":"Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification ","file_name":"L_Collocation_ODE_mcom-l-template.pdf","file_size":1819189,"access_level":"open_access","relation":"main_file","date_updated":"2025-05-02T13:20:31Z"}],"related_material":{"link":[{"relation":"software","url":"https://github.com/Christian-Offen/Lagrangian_GP","description":"GitHub"}]},"abstract":[{"text":"The article introduces a method to learn dynamical systems that are governed by Euler–Lagrange equations from data. The method is based on Gaussian process regression and identifies continuous or discrete Lagrangians and is, therefore, structure preserving by design. A rigorous proof of convergence as the distance between observation data points converges to zero and lower bounds for convergence rates are provided. Next to convergence guarantees, the method allows for quantification of model uncertainty, which can provide a basis of adaptive sampling techniques. We provide efficient uncertainty quantification of any observable that is linear in the Lagrangian, including of Hamiltonian functions (energy) and symplectic structures, which is of interest in the context of system identification. The article overcomes major practical and theoretical difficulties related to the ill-posedness of the identification task of (discrete) Lagrangians through a careful design of geometric regularisation strategies and through an exploit of a relation to convex minimisation problems in reproducing kernel Hilbert spaces.","lang":"eng"}],"publication":"Mathematics of Computation"},{"date_created":"2025-07-02T09:45:14Z","type":"journal_article","department":[{"_id":"363"}],"issue":"2","publication":"Stochastik in der Schule","citation":{"ieee":"S. Podworny, Y. Fleischer, and R. Biehler, “Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten,” <i>Stochastik in der Schule</i>, vol. 45, no. 2, pp. 9–16, 2025.","mla":"Podworny, Susanne, et al. “Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten.” <i>Stochastik in der Schule</i>, vol. 45, no. 2, 2025, pp. 9–16.","apa":"Podworny, S., Fleischer, Y., &#38; Biehler, R. (2025). Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten. <i>Stochastik in der Schule</i>, <i>45</i>(2), 9–16.","bibtex":"@article{Podworny_Fleischer_Biehler_2025, title={Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten}, volume={45}, number={2}, journal={Stochastik in der Schule}, author={Podworny, Susanne and Fleischer, Yannik and Biehler, Rolf}, year={2025}, pages={9–16} }","chicago":"Podworny, Susanne, Yannik Fleischer, and Rolf Biehler. “Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten.” <i>Stochastik in der Schule</i> 45, no. 2 (2025): 9–16.","ama":"Podworny S, Fleischer Y, Biehler R. Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten. <i>Stochastik in der Schule</i>. 2025;45(2):9-16.","short":"S. Podworny, Y. Fleischer, R. Biehler, Stochastik in der Schule 45 (2025) 9–16."},"page":"9-16","language":[{"iso":"ger"}],"_id":"60495","user_id":"37888","volume":45,"title":"Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten","status":"public","year":"2025","author":[{"id":"30619","last_name":"Podworny","first_name":"Susanne","orcid":"0000-0002-6313-5987","full_name":"Podworny, Susanne"},{"last_name":"Fleischer","orcid":"https://orcid.org/0000-0003-0318-0329","first_name":"Yannik","full_name":"Fleischer, Yannik","id":"42660"},{"full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf","id":"16274"}],"publication_status":"published","date_updated":"2025-07-02T09:45:22Z","intvolume":"        45"},{"date_created":"2025-07-07T07:24:30Z","type":"book_chapter","oa":"1","department":[{"_id":"363"}],"publication":"Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria","citation":{"ama":"Biehler R, Schulte C. Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines. In: <i>Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria</i>. ; 2025.","bibtex":"@inbook{Biehler_Schulte_2025, title={Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines.}, booktitle={Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria}, author={Biehler, Rolf and Schulte, Carsten}, year={2025} }","mla":"Biehler, Rolf, and Carsten Schulte. “Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines.” <i>Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria</i>, 2025.","short":"R. Biehler, C. Schulte, in: Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria, 2025.","chicago":"Biehler, Rolf, and Carsten Schulte. “Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines.” In <i>Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria</i>, 2025.","apa":"Biehler, R., &#38; Schulte, C. (2025). Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines. In <i>Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria</i>.","ieee":"R. Biehler and C. Schulte, “Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines.,” in <i>Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria</i>, 2025."},"main_file_link":[{"open_access":"1","url":"https://openreview.net/forum?id=TGsuaghKD3"}],"language":[{"iso":"eng"}],"_id":"60532","user_id":"37888","year":"2025","title":"Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines.","status":"public","author":[{"full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf","id":"16274"},{"full_name":"Schulte, Carsten","last_name":"Schulte","first_name":"Carsten","id":"60311"}],"date_updated":"2025-07-07T07:24:35Z"},{"status":"public","title":" Flexibles Addieren und Subtrahieren im Zahlenraum bis 100","year":"2025","author":[{"id":"60267","full_name":"Häsel-Weide, Uta","orcid":"0000-0001-6278-4240","last_name":"Häsel-Weide","first_name":"Uta"},{"full_name":"Hußmann, S.","last_name":"Hußmann","first_name":"S."},{"full_name":"Nührenbörger, M.","first_name":"M.","last_name":"Nührenbörger"}],"date_updated":"2025-07-29T09:30:28Z","page":"71-80","_id":"60816","language":[{"iso":"ger"}],"publisher":"Klett Kallmeyer","user_id":"44184","editor":[{"first_name":"C.","last_name":"Rechtsteiner","full_name":"Rechtsteiner, C."}],"publication":"Rechnen richtig  lernen - flexibel, für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für die Grundschule","citation":{"ieee":"U. Häsel-Weide, S. Hußmann, and M. Nührenbörger, “ Flexibles Addieren und Subtrahieren im Zahlenraum bis 100,” in <i>Rechnen richtig  lernen - flexibel, für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für die Grundschule</i>, C. Rechtsteiner, Ed. Klett Kallmeyer, 2025, pp. 71–80.","apa":"Häsel-Weide, U., Hußmann, S., &#38; Nührenbörger, M. (2025).  Flexibles Addieren und Subtrahieren im Zahlenraum bis 100. In C. Rechtsteiner (Ed.), <i>Rechnen richtig  lernen - flexibel, für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für die Grundschule</i> (pp. 71–80). Klett Kallmeyer.","chicago":"Häsel-Weide, Uta, S. Hußmann, and M. Nührenbörger. “ Flexibles Addieren und Subtrahieren im Zahlenraum bis 100.” In <i>Rechnen richtig  lernen - flexibel, für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für die Grundschule</i>, edited by C. Rechtsteiner, 71–80. Klett Kallmeyer, 2025.","short":"U. Häsel-Weide, S. Hußmann, M. Nührenbörger, in: C. Rechtsteiner (Ed.), Rechnen richtig  lernen - flexibel, für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für die Grundschule, Klett Kallmeyer, 2025, pp. 71–80.","mla":"Häsel-Weide, Uta, et al. “ Flexibles Addieren und Subtrahieren im Zahlenraum bis 100.” <i>Rechnen richtig  lernen - flexibel, für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für die Grundschule</i>, edited by C. Rechtsteiner, Klett Kallmeyer, 2025, pp. 71–80.","bibtex":"@inbook{Häsel-Weide_Hußmann_Nührenbörger_2025, title={ Flexibles Addieren und Subtrahieren im Zahlenraum bis 100}, booktitle={Rechnen richtig  lernen - flexibel, für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für die Grundschule}, publisher={Klett Kallmeyer}, author={Häsel-Weide, Uta and Hußmann, S. and Nührenbörger, M.}, editor={Rechtsteiner, C.}, year={2025}, pages={71–80} }","ama":"Häsel-Weide U, Hußmann S, Nührenbörger M.  Flexibles Addieren und Subtrahieren im Zahlenraum bis 100. In: Rechtsteiner C, ed. <i>Rechnen richtig  lernen - flexibel, für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für die Grundschule</i>. Klett Kallmeyer; 2025:71-80."},"date_created":"2025-07-29T09:30:04Z","type":"book_chapter","department":[{"_id":"543"}]},{"author":[{"full_name":"Fleischer, Franz Yannik","last_name":"Fleischer","first_name":"Franz Yannik","orcid":"https://orcid.org/0000-0003-0318-0329","id":"42660"},{"first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf","id":"16274"}],"year":"2025","status":"public","title":"ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM","date_updated":"2025-08-04T07:17:59Z","_id":"60860","language":[{"iso":"eng"}],"page":"267-274","editor":[{"last_name":"Cornejo","first_name":"C.","full_name":"Cornejo, C."},{"first_name":"P.","last_name":"Felmer","full_name":"Felmer, P."},{"first_name":"D.M.","last_name":"Gomez","full_name":"Gomez, D.M."},{"last_name":"Dartnell","first_name":"P.","full_name":"Dartnell, P."},{"full_name":"Araya, P.","last_name":"Araya","first_name":"P."},{"last_name":"Peri","first_name":"A.","full_name":"Peri, A."},{"last_name":"Randolph","first_name":"V.","full_name":"Randolph, V."}],"user_id":"37888","citation":{"ieee":"F. Y. Fleischer and R. Biehler, “ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM,” in <i>Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 </i>, 2025, pp. 267–274.","mla":"Fleischer, Franz Yannik, and Rolf Biehler. “ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM.” <i>Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 </i>, edited by C. Cornejo et al., 2025, pp. 267–74.","apa":"Fleischer, F. Y., &#38; Biehler, R. (2025). ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM. In C. Cornejo, P. Felmer, D. M. Gomez, P. Dartnell, P. Araya, A. Peri, &#38; V. Randolph (Eds.), <i>Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 </i> (pp. 267–274).","bibtex":"@inproceedings{Fleischer_Biehler_2025, title={ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM}, booktitle={Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 }, author={Fleischer, Franz Yannik and Biehler, Rolf}, editor={Cornejo, C. and Felmer, P. and Gomez, D.M. and Dartnell, P. and Araya, P. and Peri, A. and Randolph, V.}, year={2025}, pages={267–274} }","ama":"Fleischer FY, Biehler R. ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM. In: Cornejo C, Felmer P, Gomez DM, et al., eds. <i>Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 </i>. ; 2025:267-274.","short":"F.Y. Fleischer, R. Biehler, in: C. Cornejo, P. Felmer, D.M. Gomez, P. Dartnell, P. Araya, A. Peri, V. Randolph (Eds.), Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 , 2025, pp. 267–274.","chicago":"Fleischer, Franz Yannik, and Rolf Biehler. “ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM.” In <i>Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 </i>, edited by C. Cornejo, P. Felmer, D.M. Gomez, P. Dartnell, P. Araya, A. Peri, and V. Randolph, 267–74, 2025."},"publication":"Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 ","date_created":"2025-08-04T07:15:39Z","department":[{"_id":"363"}],"type":"conference"},{"citation":{"apa":"Dalfó, C., Fiol, M. A., &#38; Steffen, E. (2025). On token signed graphs. <i>Journal of Algebraic Combinatorics</i>, <i>62</i>(1), Article 7. <a href=\"https://doi.org/10.1007/s10801-025-01416-4\">https://doi.org/10.1007/s10801-025-01416-4</a>","ieee":"C. Dalfó, M. A. Fiol, and E. Steffen, “On token signed graphs,” <i>Journal of Algebraic Combinatorics</i>, vol. 62, no. 1, Art. no. 7, 2025, doi: <a href=\"https://doi.org/10.1007/s10801-025-01416-4\">10.1007/s10801-025-01416-4</a>.","short":"C. Dalfó, M.A. Fiol, E. Steffen, Journal of Algebraic Combinatorics 62 (2025).","chicago":"Dalfó, C., M. A. Fiol, and Eckhard Steffen. “On Token Signed Graphs.” <i>Journal of Algebraic Combinatorics</i> 62, no. 1 (2025). <a href=\"https://doi.org/10.1007/s10801-025-01416-4\">https://doi.org/10.1007/s10801-025-01416-4</a>.","mla":"Dalfó, C., et al. “On Token Signed Graphs.” <i>Journal of Algebraic Combinatorics</i>, vol. 62, no. 1, 7, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s10801-025-01416-4\">10.1007/s10801-025-01416-4</a>.","ama":"Dalfó C, Fiol MA, Steffen E. On token signed graphs. <i>Journal of Algebraic Combinatorics</i>. 2025;62(1). doi:<a href=\"https://doi.org/10.1007/s10801-025-01416-4\">10.1007/s10801-025-01416-4</a>","bibtex":"@article{Dalfó_Fiol_Steffen_2025, title={On token signed graphs}, volume={62}, DOI={<a href=\"https://doi.org/10.1007/s10801-025-01416-4\">10.1007/s10801-025-01416-4</a>}, number={17}, journal={Journal of Algebraic Combinatorics}, publisher={Springer Science and Business Media LLC}, author={Dalfó, C. and Fiol, M. A. and Steffen, Eckhard}, year={2025} }"},"status":"public","_id":"61042","publisher":"Springer Science and Business Media LLC","user_id":"15540","volume":62,"issue":"1","publication":"Journal of Algebraic Combinatorics","abstract":[{"text":"We introduce the concept of a k-token signed graph and study some of its combinatorial and algebraic properties. We prove that two switching isomorphic signed graphs have switching isomorphic token graphs. Moreover, we show that the Laplacian spectrum of a balanced signed graph is contained in the Laplacian spectra of its k-token signed graph. Besides, we introduce and study the unbalance level of a signed graph, which is a new parameter that measures how far a signed graph is from being balanced. Moreover, we study the relation between the frustration index and the unbalance level of signed graphs and their token signed graphs.","lang":"eng"}],"date_created":"2025-08-28T07:50:03Z","type":"journal_article","department":[{"_id":"542"}],"year":"2025","title":"On token signed graphs","publication_identifier":{"issn":["0925-9899","1572-9192"]},"author":[{"full_name":"Dalfó, C.","first_name":"C.","last_name":"Dalfó"},{"full_name":"Fiol, M. A.","first_name":"M. A.","last_name":"Fiol"},{"first_name":"Eckhard","orcid":"0000-0002-9808-7401","last_name":"Steffen","full_name":"Steffen, Eckhard","id":"15548"}],"publication_status":"published","date_updated":"2025-08-28T07:57:27Z","intvolume":"        62","article_number":"7","language":[{"iso":"eng"}],"doi":"10.1007/s10801-025-01416-4"},{"status":"public","volume":33,"user_id":"37888","_id":"61125","publisher":"De Gruyter","page":"170–171","citation":{"ieee":"R. Biehler, M. Liebendörfer, A. Schmitz, and B. Reich, “studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar,” <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i>, vol. 33, no. 3, pp. 170–171, 2025.","mla":"Biehler, Rolf, et al. “studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar.” <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i>, vol. 33, no. 3, De Gruyter, 2025, pp. 170–171.","apa":"Biehler, R., Liebendörfer, M., Schmitz, A., &#38; Reich, B. (2025). studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar. <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i>, <i>33</i>(3), 170–171.","bibtex":"@article{Biehler_Liebendörfer_Schmitz_Reich_2025, title={studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar}, volume={33}, number={3}, journal={Mitteilungen der Deutschen Mathematiker-Vereinigung}, publisher={De Gruyter}, author={Biehler, Rolf and Liebendörfer, Michael and Schmitz, Angela and Reich, Birte}, year={2025}, pages={170–171} }","chicago":"Biehler, Rolf, Michael Liebendörfer, Angela Schmitz, and Birte Reich. “studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar.” <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i> 33, no. 3 (2025): 170–171.","ama":"Biehler R, Liebendörfer M, Schmitz A, Reich B. studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar. <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i>. 2025;33(3):170–171.","short":"R. Biehler, M. Liebendörfer, A. Schmitz, B. Reich, Mitteilungen der Deutschen Mathematiker-Vereinigung 33 (2025) 170–171."},"oa":"1","intvolume":"        33","date_updated":"2025-09-04T09:25:03Z","publication_status":"published","author":[{"id":"16274","last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf"},{"last_name":"Liebendörfer","first_name":"Michael","full_name":"Liebendörfer, Michael"},{"full_name":"Schmitz, Angela","last_name":"Schmitz","first_name":"Angela"},{"first_name":"Birte","last_name":"Reich","full_name":"Reich, Birte"}],"title":"studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar","year":"2025","language":[{"iso":"ger"}],"main_file_link":[{"url":"https://doi.org/10.1515/dmvm-2025-0053","open_access":"1"}],"publication":"Mitteilungen der Deutschen Mathematiker-Vereinigung","issue":"3","department":[{"_id":"363"}],"type":"journal_article","date_created":"2025-09-04T09:23:47Z"},{"language":[{"iso":"ger"}],"_id":"54970","page":"72-78","volume":14,"user_id":"72183","doi":"https://doi.org/10.1026/2191-9186/a000712","author":[{"full_name":"Quack, Carolin","first_name":"Carolin","last_name":"Quack","id":"77311"},{"full_name":"Bruns, Julia","orcid":"https://orcid.org/0000-0002-6604-5864","first_name":"Julia","last_name":"Bruns","id":"72183"}],"title":"Mathematikbezogenes Wissen, Einstellungen und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung angehender frühpädagogischer Fachkräfte","year":"2025","status":"public","intvolume":"        14","date_updated":"2026-03-11T14:31:13Z","date_created":"2024-07-02T07:31:26Z","department":[{"_id":"611"}],"type":"journal_article","citation":{"apa":"Quack, C., &#38; Bruns, J. (2025). Mathematikbezogenes Wissen, Einstellungen und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung angehender frühpädagogischer Fachkräfte. <i>Frühe Bildung</i>, <i>14</i>(2), 72–78. <a href=\"https://doi.org/10.1026/2191-9186/a000712\">https://doi.org/10.1026/2191-9186/a000712</a>","ieee":"C. Quack and J. Bruns, “Mathematikbezogenes Wissen, Einstellungen und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung angehender frühpädagogischer Fachkräfte,” <i>Frühe Bildung</i>, vol. 14, no. 2, pp. 72–78, 2025, doi: <a href=\"https://doi.org/10.1026/2191-9186/a000712\">https://doi.org/10.1026/2191-9186/a000712</a>.","chicago":"Quack, Carolin, and Julia Bruns. “Mathematikbezogenes Wissen, Einstellungen und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung angehender frühpädagogischer Fachkräfte.” <i>Frühe Bildung</i> 14, no. 2 (2025): 72–78. <a href=\"https://doi.org/10.1026/2191-9186/a000712\">https://doi.org/10.1026/2191-9186/a000712</a>.","short":"C. Quack, J. Bruns, Frühe Bildung 14 (2025) 72–78.","mla":"Quack, Carolin, and Julia Bruns. “Mathematikbezogenes Wissen, Einstellungen und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung angehender frühpädagogischer Fachkräfte.” <i>Frühe Bildung</i>, vol. 14, no. 2, 2025, pp. 72–78, doi:<a href=\"https://doi.org/10.1026/2191-9186/a000712\">https://doi.org/10.1026/2191-9186/a000712</a>.","ama":"Quack C, Bruns J. Mathematikbezogenes Wissen, Einstellungen und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung angehender frühpädagogischer Fachkräfte. <i>Frühe Bildung</i>. 2025;14(2):72-78. doi:<a href=\"https://doi.org/10.1026/2191-9186/a000712\">https://doi.org/10.1026/2191-9186/a000712</a>","bibtex":"@article{Quack_Bruns_2025, title={Mathematikbezogenes Wissen, Einstellungen und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung angehender frühpädagogischer Fachkräfte}, volume={14}, DOI={<a href=\"https://doi.org/10.1026/2191-9186/a000712\">https://doi.org/10.1026/2191-9186/a000712</a>}, number={2}, journal={Frühe Bildung}, author={Quack, Carolin and Bruns, Julia}, year={2025}, pages={72–78} }"},"publication":"Frühe Bildung","issue":"2"},{"_id":"62291","user_id":"113768","doi":"10.48550/ARXIV.2509.11248","title":"Zeros and exponential profiles of polynomials II: Examples","status":"public","year":"2025","date_updated":"2026-03-19T14:45:35Z","date_created":"2025-11-24T13:55:55Z","type":"journal_article","department":[{"_id":"94"}],"citation":{"ama":"Zeros and exponential profiles of polynomials II: Examples. Published online 2025. doi:<a href=\"https://doi.org/10.48550/ARXIV.2509.11248\">10.48550/ARXIV.2509.11248</a>","short":"(2025).","chicago":"“Zeros and Exponential Profiles of Polynomials II: Examples,” 2025. <a href=\"https://doi.org/10.48550/ARXIV.2509.11248\">https://doi.org/10.48550/ARXIV.2509.11248</a>.","bibtex":"@article{Zeros and exponential profiles of polynomials II: Examples_2025, DOI={<a href=\"https://doi.org/10.48550/ARXIV.2509.11248\">10.48550/ARXIV.2509.11248</a>}, year={2025} }","apa":"<i>Zeros and exponential profiles of polynomials II: Examples</i>. (2025). <a href=\"https://doi.org/10.48550/ARXIV.2509.11248\">https://doi.org/10.48550/ARXIV.2509.11248</a>","mla":"<i>Zeros and Exponential Profiles of Polynomials II: Examples</i>. 2025, doi:<a href=\"https://doi.org/10.48550/ARXIV.2509.11248\">10.48550/ARXIV.2509.11248</a>.","ieee":"“Zeros and exponential profiles of polynomials II: Examples,” 2025, doi: <a href=\"https://doi.org/10.48550/ARXIV.2509.11248\">10.48550/ARXIV.2509.11248</a>."},"abstract":[{"text":"In [Jalowy, Kabluchko, Marynych, arXiv:2504.11593v1, 2025], the authors discuss a user-friendly approach to determine the limiting empirical zero distribution of a sequence of real-rooted polynomials, as the degree goes to $\\infty$. In this note, we aim to apply it to a vast range of examples of polynomials providing a unifying source for limiting empirical zero distributions.\n We cover Touchard, Fubini, Eulerian, Narayana and little $q$-Laguerre polynomials as well as hypergeometric polynomials including the classical Hermite, Laguerre and Jacobi polynomials. We construct polynomials whose empirical zero distributions converge to the free multiplicative normal and Poisson distributions. Furthermore, we study polynomials generated by some differential operators. As one inverse result, we derive coefficient asymptotics of the characteristic polynomial of random covariance matrices.","lang":"eng"}]},{"quality_controlled":"1","citation":{"ama":"Hoffmann M. Symmetry as a Topic for the University Education of Pre-Service Teachers. <i>Recherches en Didactique des Mathématiques</i>. 2025;45(2):85-120. doi:<a href=\"https://doi.org/10.46298/rdm.14256\">10.46298/rdm.14256</a>","bibtex":"@article{Hoffmann_2025, title={Symmetry as a Topic for the University Education of Pre-Service Teachers}, volume={45}, DOI={<a href=\"https://doi.org/10.46298/rdm.14256\">10.46298/rdm.14256</a>}, number={2}, journal={Recherches en Didactique des Mathématiques}, author={Hoffmann, Max}, year={2025}, pages={85–120} }","mla":"Hoffmann, Max. “Symmetry as a Topic for the University Education of Pre-Service Teachers.” <i>Recherches En Didactique Des Mathématiques</i>, vol. 45, no. 2, 2025, pp. 85–120, doi:<a href=\"https://doi.org/10.46298/rdm.14256\">10.46298/rdm.14256</a>.","chicago":"Hoffmann, Max. “Symmetry as a Topic for the University Education of Pre-Service Teachers.” <i>Recherches En Didactique Des Mathématiques</i> 45, no. 2 (2025): 85–120. <a href=\"https://doi.org/10.46298/rdm.14256\">https://doi.org/10.46298/rdm.14256</a>.","short":"M. Hoffmann, Recherches En Didactique Des Mathématiques 45 (2025) 85–120.","apa":"Hoffmann, M. (2025). Symmetry as a Topic for the University Education of Pre-Service Teachers. <i>Recherches En Didactique Des Mathématiques</i>, <i>45</i>(2), 85–120. <a href=\"https://doi.org/10.46298/rdm.14256\">https://doi.org/10.46298/rdm.14256</a>","ieee":"M. Hoffmann, “Symmetry as a Topic for the University Education of Pre-Service Teachers,” <i>Recherches en Didactique des Mathématiques</i>, vol. 45, no. 2, pp. 85–120, 2025, doi: <a href=\"https://doi.org/10.46298/rdm.14256\">10.46298/rdm.14256</a>."},"oa":"1","status":"public","user_id":"32202","volume":45,"page":"85-120","_id":"56131","abstract":[{"text":"This article provides a comprehensive mathematical-didactic analysis of how the highly relevant topic symmetry can be prepared for the university education of PSTs. Methodologically, the analysis is embedded in a design research cycle and serves as preparation for the actual design of learning activities. The procedure of \"specifying and structuring\" learning objects is used and adapted in such a way that, in addition to mathematical aspects, profession-oriented references to school mathematics are also considered. An essential result of the analysis is the formulation of so-called interface aspects to symmetry, which prove to be helpful in establishing such references. ","lang":"eng"}],"issue":"2","publication":"Recherches en Didactique des Mathématiques","type":"journal_article","department":[{"_id":"97"},{"_id":"643"}],"date_created":"2024-09-14T08:08:22Z","publication_status":"published","date_updated":"2026-03-30T13:52:29Z","article_type":"original","intvolume":"        45","title":"Symmetry as a Topic for the University Education of Pre-Service Teachers","year":"2025","author":[{"full_name":"Hoffmann, Max","last_name":"Hoffmann","first_name":"Max","orcid":"0000-0002-6964-7123","id":"32202"}],"doi":"10.46298/rdm.14256","main_file_link":[{"open_access":"1","url":"https://rdm.episciences.org/17761/pdf"}],"language":[{"iso":"eng"}]},{"citation":{"ama":"Hoffmann M. Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry. In: Bosch M, Bolondi G, Carreira S, Gaidoschik M, Spagnolo C, eds. <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>. Free University of Bozen-Bolzano and ERME; 2025:2245-2252.","short":"M. Hoffmann, in: M. Bosch, G. Bolondi, S. Carreira, M. Gaidoschik, C. Spagnolo (Eds.), Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14), Free University of Bozen-Bolzano and ERME, 2025, pp. 2245–2252.","chicago":"Hoffmann, Max. “Using Scriptwriting as a Response Format for Interface Tasks: Exemplary Analyses in the Context of Symmetry.” In <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>, edited by Marianna Bosch, Giorgio Bolondi, Susana Carreira, Michael Gaidoschik, and Camilla Spagnolo, 2245–52. Free University of Bozen-Bolzano and ERME, 2025.","bibtex":"@inproceedings{Hoffmann_2025, title={Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry}, booktitle={Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)}, publisher={Free University of Bozen-Bolzano and ERME}, author={Hoffmann, Max}, editor={Bosch, Marianna and Bolondi, Giorgio and Carreira, Susana and Gaidoschik, Michael and Spagnolo, Camilla}, year={2025}, pages={2245–2252} }","mla":"Hoffmann, Max. “Using Scriptwriting as a Response Format for Interface Tasks: Exemplary Analyses in the Context of Symmetry.” <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>, edited by Marianna Bosch et al., Free University of Bozen-Bolzano and ERME, 2025, pp. 2245–52.","apa":"Hoffmann, M. (2025). Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry. In M. Bosch, G. Bolondi, S. Carreira, M. Gaidoschik, &#38; C. Spagnolo (Eds.), <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i> (pp. 2245–2252). Free University of Bozen-Bolzano and ERME.","ieee":"M. Hoffmann, “Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry,” in <i>Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)</i>, 2025, pp. 2245–2252."},"publication":"Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)","quality_controlled":"1","date_created":"2026-03-30T14:57:31Z","department":[{"_id":"97"},{"_id":"643"}],"oa":"1","type":"conference","author":[{"full_name":"Hoffmann, Max","first_name":"Max","last_name":"Hoffmann"}],"title":"Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry","status":"public","year":"2025","publication_status":"published","date_updated":"2026-03-30T15:03:09Z","language":[{"iso":"eng"}],"_id":"65246","publisher":"Free University of Bozen-Bolzano and ERME","page":"2245-2252","main_file_link":[{"open_access":"1","url":"https://hal.science/CERME14/hal-05237875v1"}],"editor":[{"last_name":"Bosch","first_name":"Marianna","full_name":"Bosch, Marianna"},{"full_name":"Bolondi, Giorgio","first_name":"Giorgio","last_name":"Bolondi"},{"first_name":"Susana","last_name":"Carreira","full_name":"Carreira, Susana"},{"first_name":"Michael","last_name":"Gaidoschik","full_name":"Gaidoschik, Michael"},{"full_name":"Spagnolo, Camilla","first_name":"Camilla","last_name":"Spagnolo"}],"user_id":"32202"},{"date_updated":"2026-03-31T09:07:17Z","publication_status":"inpress","intvolume":"        35","article_type":"original","title":"Quantum resonances and scattering poles of classical rank one locally  symmetric spaces","year":"2025","author":[{"last_name":"Delarue","first_name":"Benjamin","full_name":"Delarue, Benjamin","id":"70575"},{"id":"220","full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert"}],"publication_identifier":{"issn":["0949-5932"]},"language":[{"iso":"eng"}],"abstract":[{"text":"For negatively curved symmetric spaces it is known that the poles of the\r\nscattering matrices defined via the standard intertwining operators for the\r\nspherical principal representations of the isometry group are either given as\r\npoles of the intertwining operators or as quantum resonances, i.e. poles of the\r\nmeromorphically continued resolvents of the Laplace-Beltrami operator. We\r\nextend this result to classical locally symmetric spaces of negative curvature\r\nwith convex-cocompact fundamental group using results of Bunke and Olbrich. The\r\nmethod of proof forces us to exclude the spectral parameters corresponding to\r\nsingular Poisson transforms.","lang":"eng"}],"publication":"Journal of Lie Theory","issue":"(4)","type":"journal_article","department":[{"_id":"548"}],"date_created":"2024-04-11T12:31:18Z","status":"public","user_id":"220","volume":35,"page":"787--804","_id":"53413","citation":{"bibtex":"@article{Delarue_Hilgert, title={Quantum resonances and scattering poles of classical rank one locally  symmetric spaces}, volume={35}, number={(4)}, journal={Journal of Lie Theory}, author={Delarue, Benjamin and Hilgert, Joachim}, pages={787--804} }","ama":"Delarue B, Hilgert J. Quantum resonances and scattering poles of classical rank one locally  symmetric spaces. <i>Journal of Lie Theory</i>. 35((4)):787--804.","mla":"Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally  Symmetric Spaces.” <i>Journal of Lie Theory</i>, vol. 35, no. (4), pp. 787--804.","short":"B. Delarue, J. Hilgert, Journal of Lie Theory 35 (n.d.) 787--804.","chicago":"Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering Poles of Classical Rank One Locally  Symmetric Spaces.” <i>Journal of Lie Theory</i> 35, no. (4) (n.d.): 787--804.","ieee":"B. Delarue and J. Hilgert, “Quantum resonances and scattering poles of classical rank one locally  symmetric spaces,” <i>Journal of Lie Theory</i>, vol. 35, no. (4), pp. 787--804.","apa":"Delarue, B., &#38; Hilgert, J. (n.d.). Quantum resonances and scattering poles of classical rank one locally  symmetric spaces. <i>Journal of Lie Theory</i>, <i>35</i>((4)), 787--804."}},{"citation":{"short":"J.S. Hoffmann, H.-J. Stoppel, mathematik lehren (2025) 8–12.","chicago":"Hoffmann, Jan Sören, and Hans-Jürgen Stoppel. “Das Sieb des Eratosthenes.” <i>mathematik lehren</i>, no. 253 (2025): 8–12.","apa":"Hoffmann, J. S., &#38; Stoppel, H.-J. (2025). Das Sieb des Eratosthenes. <i>mathematik lehren</i>, <i>253</i>, 8–12.","ieee":"J. S. Hoffmann and H.-J. Stoppel, “Das Sieb des Eratosthenes,” <i>mathematik lehren</i>, no. 253, pp. 8–12, 2025.","ama":"Hoffmann JS, Stoppel H-J. Das Sieb des Eratosthenes. <i>mathematik lehren</i>. 2025;(253):8-12.","bibtex":"@article{Hoffmann_Stoppel_2025, title={Das Sieb des Eratosthenes}, number={253}, journal={mathematik lehren}, author={Hoffmann, Jan Sören and Stoppel, Hans-Jürgen}, year={2025}, pages={8–12} }","mla":"Hoffmann, Jan Sören, and Hans-Jürgen Stoppel. “Das Sieb des Eratosthenes.” <i>mathematik lehren</i>, no. 253, 2025, pp. 8–12."},"publication":"mathematik lehren","issue":"253","department":[{"_id":"360"},{"_id":"643"}],"type":"journal_article","date_created":"2026-05-20T08:00:36Z","date_updated":"2026-05-21T09:24:56Z","publication_status":"published","author":[{"last_name":"Hoffmann","first_name":"Jan Sören","full_name":"Hoffmann, Jan Sören","id":"85112"},{"last_name":"Stoppel","first_name":"Hans-Jürgen","full_name":"Stoppel, Hans-Jürgen","id":"101162"}],"year":"2025","title":"Das Sieb des Eratosthenes","status":"public","user_id":"85112","language":[{"iso":"ger"}],"_id":"65657","page":"8-12"},{"page":"2-7","publisher":"Friedrich Verlag","_id":"65713","language":[{"iso":"ger"}],"user_id":"101162","title":"Mathematik weiterdenken - Wie informatisches Denken die Mathematik stärkt","year":"2025","status":"public","author":[{"full_name":"Stoppel, Hans-Jürgen","last_name":"Stoppel","first_name":"Hans-Jürgen","id":"101162"},{"last_name":"Plangg","first_name":"Simon","full_name":"Plangg, Simon"},{"first_name":"Carina","last_name":"Büscher","full_name":"Büscher, Carina"}],"publication_status":"published","date_updated":"2026-05-29T08:44:23Z","date_created":"2026-05-29T06:12:11Z","type":"journal_article","department":[{"_id":"98"}],"issue":"253","publication":"mathemathik lehren","citation":{"ama":"Stoppel H-J, Plangg S, Büscher C. Mathematik weiterdenken - Wie informatisches Denken die Mathematik stärkt. <i>mathemathik lehren</i>. 2025;(253):2-7.","bibtex":"@article{Stoppel_Plangg_Büscher_2025, title={Mathematik weiterdenken - Wie informatisches Denken die Mathematik stärkt}, number={253}, journal={mathemathik lehren}, publisher={Friedrich Verlag}, author={Stoppel, Hans-Jürgen and Plangg, Simon and Büscher, Carina}, year={2025}, pages={2–7} }","mla":"Stoppel, Hans-Jürgen, et al. “Mathematik weiterdenken - Wie informatisches Denken die Mathematik stärkt.” <i>mathemathik lehren</i>, no. 253, Friedrich Verlag, 2025, pp. 2–7.","chicago":"Stoppel, Hans-Jürgen, Simon Plangg, and Carina Büscher. “Mathematik weiterdenken - Wie informatisches Denken die Mathematik stärkt.” <i>mathemathik lehren</i>, no. 253 (2025): 2–7.","short":"H.-J. Stoppel, S. Plangg, C. Büscher, mathemathik lehren (2025) 2–7.","apa":"Stoppel, H.-J., Plangg, S., &#38; Büscher, C. (2025). Mathematik weiterdenken - Wie informatisches Denken die Mathematik stärkt. <i>mathemathik lehren</i>, <i>253</i>, 2–7.","ieee":"H.-J. Stoppel, S. Plangg, and C. Büscher, “Mathematik weiterdenken - Wie informatisches Denken die Mathematik stärkt,” <i>mathemathik lehren</i>, no. 253, pp. 2–7, 2025."}},{"publication":"Proceedings of the 15th International Congress on Mathematical Education","citation":{"ama":"Biehler R, Kawakami T, Lampen E, Weiland T, Zapata-Cardona L. Statistics and data science education as a vehicle for empowering citizens – short summary of a survey. In: Beswick K, Kaur B, Makar K, Ochoviet C, Venkat H, eds. <i>Proceedings of the 15th International Congress on Mathematical Education</i>. Vol 1. MERGA; 2025:198-203.","bibtex":"@inbook{Biehler_Kawakami_Lampen_Weiland_Zapata-Cardona_2025, title={Statistics and data science education as a vehicle for empowering citizens – short summary of a survey}, volume={1}, booktitle={Proceedings of the 15th International Congress on Mathematical Education}, publisher={MERGA}, author={Biehler, Rolf and Kawakami, T. and Lampen, E. and Weiland, T. and Zapata-Cardona, L.}, editor={Beswick, K. and Kaur, B. and Makar, K. and Ochoviet, C. and Venkat, H.}, year={2025}, pages={198–203} }","mla":"Biehler, Rolf, et al. “Statistics and Data Science Education as a Vehicle for Empowering Citizens – Short Summary of a Survey.” <i>Proceedings of the 15th International Congress on Mathematical Education</i>, edited by K. Beswick et al., vol. 1, MERGA, 2025, pp. 198–203.","chicago":"Biehler, Rolf, T. Kawakami, E. Lampen, T. Weiland, and L. Zapata-Cardona. “Statistics and Data Science Education as a Vehicle for Empowering Citizens – Short Summary of a Survey.” In <i>Proceedings of the 15th International Congress on Mathematical Education</i>, edited by K. Beswick, B. Kaur, K. Makar, C. Ochoviet, and H. Venkat, 1:198–203. MERGA, 2025.","short":"R. Biehler, T. Kawakami, E. Lampen, T. Weiland, L. Zapata-Cardona, in: K. Beswick, B. Kaur, K. Makar, C. Ochoviet, H. Venkat (Eds.), Proceedings of the 15th International Congress on Mathematical Education, MERGA, 2025, pp. 198–203.","apa":"Biehler, R., Kawakami, T., Lampen, E., Weiland, T., &#38; Zapata-Cardona, L. (2025). Statistics and data science education as a vehicle for empowering citizens – short summary of a survey. In K. Beswick, B. Kaur, K. Makar, C. Ochoviet, &#38; H. Venkat (Eds.), <i>Proceedings of the 15th International Congress on Mathematical Education</i> (Vol. 1, pp. 198–203). MERGA.","ieee":"R. Biehler, T. Kawakami, E. Lampen, T. Weiland, and L. Zapata-Cardona, “Statistics and data science education as a vehicle for empowering citizens – short summary of a survey,” in <i>Proceedings of the 15th International Congress on Mathematical Education</i>, vol. 1, K. Beswick, B. Kaur, K. Makar, C. Ochoviet, and H. Venkat, Eds. MERGA, 2025, pp. 198–203."},"type":"book_chapter","department":[{"_id":"363"}],"date_created":"2026-03-02T12:18:38Z","date_updated":"2026-07-09T11:23:23Z","publication_status":"published","intvolume":"         1","year":"2025","status":"public","title":"Statistics and data science education as a vehicle for empowering citizens – short summary of a survey","author":[{"id":"16274","first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf"},{"full_name":"Kawakami, T.","first_name":"T.","last_name":"Kawakami"},{"full_name":"Lampen, E.","last_name":"Lampen","first_name":"E."},{"last_name":"Weiland","first_name":"T.","full_name":"Weiland, T."},{"full_name":"Zapata-Cardona, L.","last_name":"Zapata-Cardona","first_name":"L."}],"user_id":"37888","editor":[{"full_name":"Beswick, K.","last_name":"Beswick","first_name":"K."},{"full_name":"Kaur, B.","first_name":"B.","last_name":"Kaur"},{"full_name":"Makar, K.","first_name":"K.","last_name":"Makar"},{"first_name":"C.","last_name":"Ochoviet","full_name":"Ochoviet, C."},{"full_name":"Venkat, H.","first_name":"H.","last_name":"Venkat"}],"volume":1,"page":"198-203","_id":"64806","language":[{"iso":"eng"}],"publisher":"MERGA"}]