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1300 Publications
2020 | Journal Article | LibreCat-ID: 31553
Seitz, S., Häsel-Weide, U., Wilke, Y., & Wallner, M. (2020). Expertise von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung. K:ON Kölner Online-Journal für Lehrer*innenbildung, 2. https://doi.org/10.18716/ojs/kON/2020.2.03
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2020 | Conference Paper | LibreCat-ID: 45384
Dröse, J. (2020). Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte? In H.-S. Siller, W. Weigel, & J. F. Wöler (Eds.), Beiträge zum Mathematikunterricht 2020 (pp. 233–236). WTM.
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2020 | Book Chapter | LibreCat-ID: 45386
Dröse, J., Eisen, V., Prediger, S., Altieri, M., Schellenbach, M., & Menning, R. (2020). Textaufgaben lesen lernen – eine digital gestützte Einheit mit App . In Mathematik lehren 223 (pp. 38–40).
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2020 | Book Chapter | LibreCat-ID: 17994
Gerlach, R., & Ziessler, A. (2020). The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems. In O. Junge, O. Schütze, S. Ober-Blöbaum, & K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation (Vol. 304, pp. 66–85). Springer International Publishing. https://doi.org/10.1007/978-3-030-51264-4_3
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2020 | Journal Article | LibreCat-ID: 16712
Dellnitz, M., Gebken, B., Gerlach, R., & Klus, S. (2020). On the equivariance properties of self-adjoint matrices. Dynamical Systems, 35(2), 197–215. https://doi.org/10.1080/14689367.2019.1661355
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2020 | Journal Article | LibreCat-ID: 51386
Hilgert, J., & Barnum, H. (2020). Spectral Properties of Convex Bodies. J. of Lie Theory, 30, 315–344.
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2020 | Book (Editor) | LibreCat-ID: 51488
Hilgert, J. (Ed.). (2020). Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen. Springer Spektrum.
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2020 | Preprint | LibreCat-ID: 51520 | 
Hilgert, J., Brennecken, D., & Ciardo, L. (2020). Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ).
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2020 | Book Review | LibreCat-ID: 51559
Hilgert, J. (2020). Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019. In Mathematische Semesterberichte (Vol. 67, pp. 301–305). https://doi.org/10.1007/s00591-020-00282-4
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2020 | Book Review | LibreCat-ID: 51557
Hilgert, J. (2020). Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020. In Mathematische Semesterberichte (Vol. 67, pp. 307–309). https://doi.org/10.1007/s00591-020-00283-3
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2020 | Book Review | LibreCat-ID: 51561
Hilgert, J. (2020). Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019. In Mathematische Semesterberichte (Vol. 67, pp. 123–124). https://doi.org/10.1007/s00591-020-00272-6
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2020 | Book Review | LibreCat-ID: 51560
Hilgert, J. (2020). David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019. In Mathematische Semesterberichte (Vol. 67, pp. 297–299). https://doi.org/10.1007/s00591-020-00280-6
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2020 | Book Review | LibreCat-ID: 51564
Hilgert, J. (2020). Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). In Mathematische Semesterberichte (Vol. 67, pp. 97–98). https://doi.org/10.1007/s00591-019-00254-3
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2020 | Book Review | LibreCat-ID: 51563
Hilgert, J. (2020). Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019). In Mathematische Semesterberichte (Vol. 67, pp. 109–111). https://doi.org/10.1007/s00591-019-00254-3
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2020 | Journal Article | LibreCat-ID: 45954
Hipp, D., & Kovács, B. (2020). Finite element error analysis of wave equations with dynamic boundary conditions: L2 estimates. IMA Journal of Numerical Analysis, 41(1), 638–728. https://doi.org/10.1093/imanum/drz073
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2020 | Journal Article | LibreCat-ID: 45953
Hipp, D., & Kovács, B. (2020). Finite element error analysis of wave equations with dynamic boundary conditions: L2 estimates. IMA Journal of Numerical Analysis, 41(1), 638–728. https://doi.org/10.1093/imanum/drz073
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2020 | Journal Article | LibreCat-ID: 45955
Akrivis, G., Feischl, M., Kovács, B., & Lubich, C. (2020). Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. Mathematics of Computation, 90(329), 995–1038. https://doi.org/10.1090/mcom/3597
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2020 | Journal Article | LibreCat-ID: 45952
Kovács, B., Li, B., & Lubich, C. (2020). A convergent algorithm for forced mean curvature flow driven by diffusion on the surface. Interfaces and Free Boundaries, 22(4), 443–464. https://doi.org/10.4171/ifb/446
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2020 | Book Chapter | LibreCat-ID: 34632
Hesse, K. (2020). RBF-based penalized least-squares approximation of noisy scattered data on the sphere. In F. J. Hickernell & P. Kritzer (Eds.), Multivariate Algorithms and Information-Based Complexity (pp. 33–42). De Gruyter.
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2020 | Journal Article | LibreCat-ID: 53415
Küster, B., & Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics, 378(2), 917–941. https://doi.org/10.1007/s00220-020-03793-2
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2020 | Journal Article | LibreCat-ID: 33594
Rezat, S., & Rezat, S. (2020). Schulbücher. Werkzeuge zum Üben in den Fächern Deutsch und Mathematik. Die Grundschulzeitschrift 320, 10–13.
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2020 | Book Chapter | LibreCat-ID: 44685
Schumacher, J., & Rezat, S. (2020). Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. In G. Kadunz (Ed.), Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und Praxis (pp. 85–112). Springer. https://doi.org/10.1007/978-3-662-61194-4_5
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2020 | Book Chapter | LibreCat-ID: 44688
Rezat, S. (2020). Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen Individualisierung und Kooperation. In D. Meister & M. Ilka (Eds.), Mobile Medien im Schulkontext. Springer. https://doi.org/10.1007/978-3-658-29039-9_10
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| DOI
2020 | Journal Article | LibreCat-ID: 46159
Leuders, T., & Wessel, L. (2020). Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung. Pädagogik 2/2020, 2, 26–30.
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2020 | Journal Article | LibreCat-ID: 46158
Wessel, L., Kuzu, T., & Prediger, S. (2020). Sprachbildender Vorstellungsaufbau für verschiedene mathematische Konzepte: Brüche in Klasse 6. Sprachbildender Mathematikunterricht in Der Sekundarstufe - Ein Forschungsbasiertes Praxisbuch, 148–151.
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2020 | Book Chapter | LibreCat-ID: 48405
Sprütten, F., Wessel, L., Zentgraf, K., & Prediger, S. (2020). Fach- und sprachintegrierte Ansätze für Neuzugewanderte. In S. Prediger (Ed.), Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch (pp. 115–130). Cornelsen Skriptor.
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2020 | Book | LibreCat-ID: 48406
Wessel, L., Prediger, S., Stein, A., Wijers, M., & Jonker, V. (2020). Language for Mathematics in Vocational Contexts. Handbook for teachers and facilitators. DZLM.
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2020 | Book Chapter | LibreCat-ID: 35811
Biehler, R., & Durand-Guerrier, V. (2020). University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic. In T. Hausberger, M. Bosch, & F. Chelloughi (Eds.), Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020). University of Carthage and INDRUM.
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2020 | Journal Article | LibreCat-ID: 35701
Lünne, S., Schnell, S., & Biehler, R. (2020). Motivation of out-of-field teachers for participating in professional development courses in mathematics. European Journal of Teacher Education, 44(5), 688–705. https://doi.org/10.1080/02619768.2020.1793950
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2020 | Book Chapter | LibreCat-ID: 35808
Barzel, B., & Biehler, R. (2020). Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools. In S. Zehetmeier, D. Potari, & M. Ribeiro (Eds.), Professional development and knowledge of mathematics teachers (pp. 163–192). Routledge.
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2020 | Journal Article | LibreCat-ID: 35822
Feudel, F., & Biehler, R. (2020). Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics. Journal Für Mathematik-Didaktik, 42(1), 273–305. https://doi.org/10.1007/s13138-020-00174-z
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2020 | Journal Article | LibreCat-ID: 35709
Kempen, L., & Biehler, R. (2020). Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology. Frontiers in Psychology, 11, 1180. https://doi.org/10.3389/fpsyg.2020.01180
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2020 | Book Chapter | LibreCat-ID: 35827
Kempen, L., Krämer, S., & Biehler, R. (2020). Was verstehen Schülerinnen und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie. In H.-S. Siller, W. Weigel, & J. F. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020 (pp. 489–492). WTM-Verlag. https://doi.org/10.17877/DE290R-21418
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2020 | Book Chapter | LibreCat-ID: 35819
Biehler, R., Kempen, L., & Paravicini, W. (2020). Hochschuldidaktik Mathematik: Fachbezogenes Design und empirische Studien. In H.-S. Siller, W. Weigel, & J. F. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020 (pp. 1347–1348). WTM-Verlag. https://doi.org/10.17877/DE290R-21487
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2020 | Book Chapter | LibreCat-ID: 35823
Fleischer, Y., & Biehler, R. (2020). Automatisierte Entscheidungsverfahren als Thema im allgemeinbildenden Mathematikunterricht. In H.-S. Siller, W. Weigel, & J. F. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020. WTM-Verlag. https://doi.org/10.17877/DE290R-21301
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2020 | Journal Article | LibreCat-ID: 35826
Griese, B., Nieszporek, R., & Biehler, R. (2020). Frei verfügbare Materialien für Unterricht und Fortbildung: Stochastik verständnisorientiert unterrichten. Stochastik in der Schule, 40(1), 10–17.
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2020 | Book Chapter | LibreCat-ID: 35914
Lünne, S., Schnell, S., & Biehler, R. (2020). Ffunt@OWL – Konzept und Gestaltungsprinzipien zur Qualifizierung fachfremd Mathematik unterrichtender Lehrkräfte der Sekundarstufe I. In R. Porsch & B. Rösken-Winter (Eds.), Professionelles Handeln im fachfremd erteilten Mathematikunterricht (pp. 141–167). Springer Spektrum. https://doi.org/10.1007/978-3-658-27293-7_6
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| DOI
2020 | Book Chapter | LibreCat-ID: 35912
Lankeit, E., & Biehler, R. (2020). “I only know the absolute value function”–About students’ concept images and example spaces concerning continuity and differentiability. In T. Hausberger, M. Bosch, & F. Chelloughi (Eds.), Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020). University of Carthage and INDRUM.
LibreCat
2020 | Book Chapter | LibreCat-ID: 35829
Kempen, L., Krämer, S., & Biehler, R. (2020). Investigating high school graduates’ personal meaning of the notion of “mathematical proof.” In T. Hausberger, M. Bosch, & F. Chelloughi (Eds.), Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020) (pp. 358–367). University of Carthage and INDRUM.
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2020 | Book Chapter | LibreCat-ID: 35911
Lankeit, E., Bauer, T., & Biehler, R. (2020). Votingfragen in den Übungen zur Analysis – Wirkung verschiedener Einsatzszenarien. In H.-S. Siller, W. Weigel, & J. F. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020 (pp. 1361–1364). WTM-Verlag. https://doi.org/10.17877/DE290R-21396
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| DOI
2020 | Journal Article | LibreCat-ID: 35712
Schürmann, M., Gildehaus, L., Liebendörfer, M., Schaper, N., Biehler, R., Hochmuth, R., Kuklinski, C., & Lankeit, E. (2020). Mathematics learning support centres in Germany—an overview. Teaching Mathematics and Its Applications: An International Journal of the IMA, 40(2), 99–113. https://doi.org/10.1093/teamat/hraa007
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2020 | Book Chapter | LibreCat-ID: 35913
Liebendörfer, M., Göller, R., Gildehaus, L., Kortemeyer, J., Biehler, R., Hochmuth, R., Ostsieker, L., Rode, J., & Schaper, N. (2020). The role of learning strategies for performance in mathematics courses for engineers. In T. Hausberger, M. Bosch, & F. Chelloughi (Eds.), Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020). University of Carthage and INDRUM.
LibreCat
2020 | Book Chapter | LibreCat-ID: 35820
Biehler, R., Liebendörfer, M., Schmitz, A., Fleischmann, Y., Krämer, S., Ostsieker, L., & Schlüter, S. (2020). studiVEMINTvideos – Mathematische Lernvideos zur Studienvorbereitung und Unterstützung im ersten Studienjahr. In H.-S. Siller, W. Weigel, & J. F. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020. WTM. https://doi.org/10.17877/DE290R-21234
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2020 | Conference Paper | LibreCat-ID: 35814
Biehler, R., Fleischer, Y., Budde, L., Frischemeier, D., Gerstenberger, D., Podworny, S., & Schulte, C. (2020). Data science education in secondary schools: Teaching and learning decision trees with CODAP and Jupyter Notebooks as an example of integrating machine learning into statistics education. In P. Arnold (Ed.), New Skills in the Changing World of Statistics Education Proceedings of the Roundtable conference of the International Association for Statistical Education (IASE). ISI/IASE.
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2020 | Book Chapter | LibreCat-ID: 35821
Budde, L., Frischemeier, D., Biehler, R., Fleischer, Y., Gerstenberger, D., Podworny, S., & Schulte, C. (2020). Data Science Education in Secondary School: How to Develop Statistical Reasoning When Exploring Data Using CODAP. In P. Arnold (Ed.), New Skills in the Changing World of Statistics Education: Proceedings of the Roundtable conference of the International Association for Statistical Education (IASE), July 2020. ISI/IASE.
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2019 | Journal Article | LibreCat-ID: 19945 |
McLachlan, R. I., Offen, C., & Tapley, B. K. (2019). Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics, 6(1), 111–130. https://doi.org/10.3934/jcd.2019005
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2019 | Journal Article | LibreCat-ID: 21944
Nüske, F., Boninsegna, L., & Clementi, C. (2019). Coarse-graining molecular systems by spectral matching. The Journal of Chemical Physics. https://doi.org/10.1063/1.5100131
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2019 | Book Chapter | LibreCat-ID: 8577
Kuklinski, C., Leis, E., Liebendörfer, M., & Hochmuth, R. (2019). Erklärung von Mathematikleistung im Ingenieursstudium. In Beiträge zum Mathematikunterricht 2019.
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2019 | Journal Article | LibreCat-ID: 16709
Sahai, T., Ziessler, A., Klus, S., & Dellnitz, M. (2019). Continuous relaxations for the traveling salesman problem. Nonlinear Dynamics. https://doi.org/10.1007/s11071-019-05092-5
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2019 | Journal Article | LibreCat-ID: 10593
Peitz, S., & Klus, S. (2019). Koopman operator-based model reduction for switched-system control of PDEs. Automatica, 106, 184–191. https://doi.org/10.1016/j.automatica.2019.05.016
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