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1209 Publications


2021 | Journal Article | LibreCat-ID: 34818
M. Hanusch, “Symmetries of analytic curves,” Differential Geometry and its Applications, vol. 74, Art. no. 101687, 2021, doi: 10.1016/j.difgeo.2020.101687.
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2021 | Book Chapter | LibreCat-ID: 35720
R. Biehler, “Mathematikvorkurse als Brücke in das Studium–Einführung,” in Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 285–290.
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2021 | Book Chapter | LibreCat-ID: 35730
R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, “Einführung: Lehrinnovationen in der Hochschulmathematik – praxisrelevant – didaktisch fundiert – forschungsbasiert,” in Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 1–6.
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2021 | Journal Article | LibreCat-ID: 35737
R. Biehler and Y. Fleischer, “Introducing students to machine learning with decision trees using CODAP and Jupyter Notebooks,” Teaching Statistics, vol. 43, pp. S133–S142, 2021, doi: 10.1111/test.12279.
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2021 | Book (Editor) | LibreCat-ID: 35734
R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds., Lehrinnovationen in der Hochschulmathematik. Berlin, Heidelberg: Springer Spektrum, 2021.
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2021 | Book Chapter | LibreCat-ID: 35752
D. Frischemeier, S. Podworny, and R. Biehler, “Integration fachwissenschaftlicher und fachdidaktischer Komponenten in der Lehramtsausbildung Mathematik Grundschule am Beispiel einer Veranstaltung zur Leitidee „Daten, Häufigkeit und Wahrscheinlichkeit“,” in Konzepte und Studien Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematikzur Hochschuldidaktik und Lehrerbildung Mathematik, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 227–249.
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2021 | Book Chapter | LibreCat-ID: 35746
Y. Fleischmann, R. Biehler, A. Gold, and T. Mai, “Integration digitaler Lernmaterialien in die Präsenzlehre am Beispiel des Mathematikvorkurses für Ingenieure an der Universität Paderborn,” in Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 321–363.
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2021 | Journal Article | LibreCat-ID: 35751
D. Frischemeier, R. Biehler, S. Podworny, and L. Budde, “A first introduction to data science education in secondary schools: Teaching and learning about data exploration with<scp>CODAP</scp>using survey data,” Teaching Statistics, vol. 43, no. S1, pp. S182–S189, 2021, doi: 10.1111/test.12283.
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2021 | Journal Article | LibreCat-ID: 35744
R. Biehler and H.-G. Weigand, “3D-Geometrie–virtuell und real,” mathematik lehren, vol. 2021, no. 228, pp. 2–5, 2021.
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2021 | Book Chapter | LibreCat-ID: 35757
R. Hochmuth et al., “Fachwissen zur Arithmetik bei Grundschullehramtsstudierenden – Entwicklung im ersten Semester und Veränderungen durch eine Lehrinnovation,” in Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 611–644.
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2021 | Book Chapter | LibreCat-ID: 35755
A. Gold, Y. Fleischmann, T. Mai, R. Biehler, and L. Kempen, “Die Online-Lernmaterialien im Online-Mathematikvorkurs studiVEMINT: Konzeption und Ergebnisse von Nutzer- und Evaluationsstudien,” in Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 365–397.
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2021 | Book Chapter | LibreCat-ID: 35776
L. Kempen and R. Biehler, “Design-Based Research in der Hochschullehre am Beispiel der Lehrveranstaltung „Einführung in die Kultur der Mathematik“,” in Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 477–525.
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2021 | Journal Article | LibreCat-ID: 35761
L. Höper, L. Malin, and R. Biehler, “Schatten von 3D-Objekten: Modellierung mit GeoGebra 3D und Anwendungen in der Computergrafik,” mathematik lehren, vol. 2021, no. 228, pp. 19–22, 2021.
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2021 | Journal Article | LibreCat-ID: 35763
S. Hüsing, N. Weiser, and R. Biehler, “Faszination 3D-Film: Entwicklung einer 3D-Konstruktion,” mathematik lehren, vol. 2021, no. 228, pp. 23–27, 2021.
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2021 | Journal Article | LibreCat-ID: 35778
B. Pepin, R. Biehler, and G. Gueudet, “Mathematics in Engineering Education: a Review of the Recent Literature with a View towards Innovative Practices,” International Journal of Research in Undergraduate Mathematics Education, vol. 7, no. 2, pp. 163–188, 2021, doi: 10.1007/s40753-021-00139-8.
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2021 | Journal Article | LibreCat-ID: 35781
S. Podworny and R. Biehler, “The process of actively building a model for a randomization test – insights into learners’ modeling activities based on a case study,” Mathematical Thinking and Learning, vol. 24, no. 4, pp. 291–311, 2021, doi: 10.1080/10986065.2021.1922837.
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2021 | Book Chapter | LibreCat-ID: 35704
C. Winsløw, R. Biehler, B. Jaworski, F. Rønning, and M. Wawro, “Education and professional development of university mathematics teachers,” in Research and Development in University Mathematics Education, V. Durand-Guerrier, R. Hochmuth, E. Nardi, and C. Winsløw, Eds. Routledge, 2021, pp. 59–79.
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2021 | Journal Article | LibreCat-ID: 24786
M. Schürmann et al., “Opportunities and Possibilities of a Network of Mathematical Learning and Support Centres in Germany,” Sigma newsletter, vol. 22, pp. 5–6, 2021.
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2021 | Book Chapter | LibreCat-ID: 37485
S. Rach and M. Liebendörfer, “Die Bedeutung affektiver Merkmale beim Mathematiklernen,” in Beiträge zum Mathematikunterricht 2021 vom GDM-Monat 2021 der Gesellschaft für Didaktik der Mathematik (GDM) (1.-25. März 2021), K. Hein, C. Heil, S. Ruwisch, and S. Prediger, Eds. Münster: WTM-Verlag für wissenschaftliche Texte und Medien, 2021, pp. 247–248.
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2021 | Journal Article | LibreCat-ID: 37474
S. Büchele, M. Liebendörfer, and E. Lankeit, “Increasing the effect of a remedial mathematics course by switching to an online format during the COVID-19 crisis: evidence from a German university,” Teaching Mathematics and its Applications: An International Journal of the IMA, vol. 40, no. 4, pp. 478–496, 2021, doi: 10.1093/teamat/hrab013.
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2021 | Journal Article | LibreCat-ID: 37483
L. Gildehaus, R. Göller, and M. Liebendörfer, “Gymnasiales Lehramt Mathematik studieren – eine Übersicht zur Studienorganisation in Deutschland,” Mitteilungen der Gesellschaft für Didaktik der Mathematik, vol. 47, no. 111, pp. 27–32, 2021.
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2021 | Conference Paper | LibreCat-ID: 37481
B. Vajen, L. Gildehaus, M. Liebendörfer, and C. Wolf, “Mathematisierung als Herausforderung für die politische Bildung,” in Schriftenreihe der DVPB. Standortbestimmung Politische Bildung: Gesellschaftspolitische Herausforderungen, Zivilgesellschaft und das vermeintliche Neutralitätsgebot, 2021, pp. 188–200.
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2021 | Book Chapter | LibreCat-ID: 37480
R. Göller, L. Gildehaus, M. Liebendörfer, and J. Steuding, “Prüfungsformate als Ansatzpunkt gendersensibler universitärer Lehre im Fach Mathematik,” in Mathematik und Gender: Berichte und Beiträge des Arbeitskreise Frauen und Mathematik, vol. 5, A. Blunck and R. Motzer, Eds. Franzbecker, 2021, pp. 59–76.
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2021 | Conference Paper | LibreCat-ID: 37478
I. Haak, L. Gildehaus, and M. Liebendörfer, “Genese und Funktionen von Lerngruppen in der Studieneingangsphase,” in Naturwissenschaftlicher Unterricht und Lehrerbildung im Umbruch?, 2021, pp. 89–92.
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2021 | Journal Article | LibreCat-ID: 37473
L. Kempen and M. Liebendörfer, “University students’ fully digital study of mathematics: an identification of student-groups via their resources usage and a characterization by personal and affective characteristics,” Teaching Mathematics and its Applications: An International Journal of the IMA, vol. 40, no. 4, pp. 436–454, 2021, doi: 10.1093/teamat/hrab020.
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2021 | Conference Paper | LibreCat-ID: 37487
M. Liebendörfer, R. Hochmuth, J. Rode, and S. Schukajlow, “The Mathematical Beliefs and Interest Development of Pre-Service Primary Teachers,” in Interim Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, 2021, vol. 3, pp. 198–205.
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2021 | Journal Article | LibreCat-ID: 37494
R. Krapf and M. Liebendörfer, “Was bewirkt die Pflichtabgabe von Übungsaufgaben in der Hochschulmathematik? – Ein empirischer Vergleich,” mathematica didactica, vol. 2, no. 44, pp. 1–17, 2021.
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2021 | Journal Article | LibreCat-ID: 35616
M. Winkler, “Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation.,” Nonlinear Analysis: Real World Applications, vol. 59, Art. no. 103257, 2021.
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2021 | Journal Article | LibreCat-ID: 35615
M. Winkler, “Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.,” Zeitschrift für Angewandte Mathematik und Physik, vol. 72, Art. no. 72, 2021.
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2021 | Journal Article | LibreCat-ID: 35614
M. Winkler, “Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?,” International Mathematics Research Notices, vol. 2021, pp. 8106–8152, 2021.
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2021 | Journal Article | LibreCat-ID: 35617
M. Winkler, “Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.,” Applied Mathematics Letters, vol. 112, p. 106785, 2021.
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2021 | Journal Article | LibreCat-ID: 35613
M. Winkler, “Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.,” Transactions of the American Mathematical Society, vol. 374, pp. 219–268, 2021.
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2021 | Journal Article | LibreCat-ID: 37659
M. Rösler and M. Voit, “Positive intertwiners for Bessel functions of type B,” Proceedings of the American Mathematical Society, vol. 149, no. 3, pp. 1151–1163, 2021, doi: 10.1090/proc/15312.
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2021 | Journal Article | LibreCat-ID: 35603
Y. Tao and M. Winkler, “A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.,” Journal of Functional Analysis, vol. 281, Art. no. 109069, 2021.
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2021 | Journal Article | LibreCat-ID: 35606
Y. Tao and M. Winkler, “The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis.,” Nonlinear Analysis, Theory, Methods and Applications, vol. 208, Art. no. 112324, 2021.
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2021 | Journal Article | LibreCat-ID: 35612
Y. Wang, M. Winkler, and Z. Xiang, “Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.,” Science China Mathematics, vol. 64, pp. 725–746, 2021.
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2021 | Journal Article | LibreCat-ID: 35601
M. Ding and M. Winkler, “Small-density solutiions in Keller-Segel systems involving rapidly decaying diffusivities.,” Nonlinear Differential Equatiions and Applicatiions, vol. 28, Art. no. 47, 2021.
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2021 | Journal Article | LibreCat-ID: 35605
Y. Tao and M. Winkler, “Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.,” Communications in Mathematical Sciences, vol. 19, pp. 829–849, 2021.
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2021 | Journal Article | LibreCat-ID: 35604
Y. Tao and M. Winkler, “Taxis-driven formation of singular hotspots in a May-Nowak type model for virus infection.,” SIAM Journal on Mathematical Analysis, vol. 53, pp. 1411–1433, 2021.
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2021 | Journal Article | LibreCat-ID: 35610
Y. Wang, M. Winkler, and Z. Xiang, “Local energy estimates and global solvability in a  threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.,” Communications in Partial Differential Equations, vol. 46, pp. 1058–1091, 2021.
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2021 | Journal Article | LibreCat-ID: 35611
Y. Wang, M. Winkler, and Z. Xiang, “Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation,” Advances in Nonlinear Analysis, vol. 10, pp. 707–731, 2021.
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2021 | Journal Article | LibreCat-ID: 35608
Y. Tao and M. Winkler, “Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction,” Discrete and Continuous Dynamical Systems, vol. 41, no. A, pp. 439–454, 2021.
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2021 | Journal Article | LibreCat-ID: 34840
J. Klüners and T. Komatsu, “Imaginary multiquadratic number fields with class group of exponent $3$ and $5$,” Mathematics of Computation, vol. 90, no. 329, pp. 1483–1497, 2021, doi: 10.1090/mcom/3609.
LibreCat | DOI | arXiv
 

2021 | Journal Article | LibreCat-ID: 34912
M. Kirschmer, F. Narbonne, C. Ritzenthaler, and D. Robert, “Spanning the isogeny class of a power of an elliptic curve,” Mathematics of Computation, vol. 91, no. 333, pp. 401–449, 2021, doi: 10.1090/mcom/3672.
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2021 | Journal Article | LibreCat-ID: 44329
I. Burban and R. Abedin, “Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation,” Communications in Mathematical Physics, vol. 387, no. 2, pp. 1051–1109, 2021, doi: 10.1007/s00220-021-04188-7.
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2021 | Journal Article | LibreCat-ID: 34822
J. Bruns, H. Gasteiger, and C. Strahl, “Conceptualising and measuring domain-specific content knowledge of early childhood educators: A systematic review,” Review of Education, vol. 9, no. 2, pp. 500–538, 2021, doi: 10.1002/rev3.3255.
LibreCat | DOI | WoS
 

2021 | Journal Article | LibreCat-ID: 45687
J. Bruns and T. Schopferer, “Eine mustergültige Wissenschaft,” . TPS – Theorie und Praxis der Sozialpädagogik, vol. 11, pp. 28–32, 2021.
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2021 | Conference Paper | LibreCat-ID: 36527 | OA
S. Jensen, H. Gasteiger, and J. Bruns, “Place value and regrouping as seperate constructs of place value understanding,” in Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, Khon Kaen, Thailand, 2021, vol. 3, pp. 101–109.
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2021 | Journal Article | LibreCat-ID: 34823
J. Bruns, H. Gasteiger, and C. Strahl, “Context and Implications Document for: Conceptualising and measuring domain-specific content knowledge of early childhood educators: A systematic review,” Review of Education, vol. 9, no. 2, pp. 539–540, 2021, doi: 10.1002/rev3.3256.
LibreCat | DOI | WoS
 

2021 | Conference Paper | LibreCat-ID: 36536 | OA
S. Jensen, H. Gasteiger, and J. Bruns, “Stellenwertverständnis: Verständnis von Stellenwertprinzip und Bündelungsprinzip als separate Konstrukte,” in Beiträge zum Mathematikunterricht 2021, Lüneburg, 2021, doi: http://dx.doi.org/10.17877/DE290R-22292.
LibreCat | DOI | Download (ext.)
 

2021 | Journal Article | LibreCat-ID: 45342
J. Schönherr, J. Blomberg, S. Schukajlow, and C. Leopold, “Do emotions and prior performance facilitate the use of the learner-generated drawing strategy? Effects of enjoyment, anxiety, and intramathematical performance on the use of the drawing strategy and modelling performance,” Contemporary Educational Psychology, vol. 65, 2021, doi: 10.1016/j.cedpsych.2021.101967.
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2021 | Journal Article | LibreCat-ID: 45333
J. Schönherr, S. Schukajlow, J. Blomberg, and C. Leopold, “Does strategic knowledge matter? Effects of strategic knowledge about drawing on students’ modeling competencies in the domain of geometry,” Mathematical Thinking and Learning, 2021, doi: 10.1080/10986065.2021.2012741.
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2021 | Journal Article | LibreCat-ID: 45343
J. Schönherr, S. Schukajlow, J. Blomberg, and C. Leopold, “The role of strategy-based motivation in mathematical problem solving: The case of learner-generated drawings,” Learning and Instruction, vol. 80, Art. no. 101561, 2021, doi: 10.1016/j.learninstruc.2021.101561.
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2021 | Journal Article | LibreCat-ID: 45335
J. Schönherr, S. Schukajlow, and J. Blomberg, “Was ist eine gute Skizze? Strategiewissen beim mathematischen Modellieren im Bereich der Geometrie fördern,” mathematik lehren, vol. 224, pp. 22–27, 2021.
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2021 | Journal Article | LibreCat-ID: 34673
T. Black, M. Fuest, and J. Lankeit, “Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 3, Art. no. 96, 2021, doi: 10.1007/s00033-021-01524-8.
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2021 | Journal Article | LibreCat-ID: 34675
T. Black and C. Wu, “Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation,” Zeitschrift für angewandte Mathematik und Physik, vol. 72, no. 4, Art. no. 135, 2021, doi: 10.1007/s00033-021-01565-z.
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2021 | Journal Article | LibreCat-ID: 45381
J. Dröse, S. Prediger, P. Neugebauer, R. D. Danhier, and B. Mertins, “Investigating students’ processes of noticing and interpreting syntactic language features in word problem solving through eye-tracking,” International Electronic Journal of Mathematics Education, 16(1), em0625, 2021, doi: doi.org/10.29333/iejme/9674n .
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2021 | Journal Article | LibreCat-ID: 45380
J. Dröse and S. Prediger, “Identifying obstacles is not enough for everybody – Differential efficacy of an intervention fostering fifth graders’ comprehension for word problems,” Studies in Educational Evaluation, 68 (100953), pp. 1–15, 2021, doi: doi.org/10.1016/j.stueduc.2020.100953.
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2021 | Journal Article | LibreCat-ID: 31578
U. Häsel-Weide, S. Seitz, M. Wallner, Y. Wilke, and L. Heckmann, “Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe,” QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte, vol. 3, no. 1, 2021, doi: 10.21248/qfi.57.
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2021 | Conference Paper | LibreCat-ID: 31583
M. Hattermann, U. Häsel-Weide, and M. Wallner, “Conceptualiziation processes of 6th graders for rotational symmetry,” in Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education , 2021, vol. 3, pp. 9–15.
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2021 | Conference Paper | LibreCat-ID: 22894 | OA
C. Offen and S. Ober-Blöbaum, “Bifurcation preserving discretisations of optimal control problems,” vol. 54(19). pp. 334–339, 2021, doi: https://doi.org/10.1016/j.ifacol.2021.11.099.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 

2021 | Conference Paper | LibreCat-ID: 21572
S. Ridderbusch, C. Offen, S. Ober-Blöbaum, and P. Goulart, “Learning ODE Models with Qualitative Structure Using Gaussian Processes ,” in 2021 60th IEEE Conference on Decision and Control (CDC), Austin, TX, USA, 2021, p. 2896, doi: 10.1109/CDC45484.2021.9683426.
LibreCat | Files available | DOI | arXiv
 

2021 | Conference Paper | LibreCat-ID: 21592
N. Vertovec, S. Ober-Blöbaum, and K. Margellos, “Multi-objective minimum time optimal control for low-thrust trajectory design,” Rotterdam, the Netherlands, pp. 1975–1980.
LibreCat | arXiv
 

2021 | Conference Paper | LibreCat-ID: 29868
F. Jiménez and S. Ober-Blöbaum, “Fractional Damping Through Restricted Calculus of Variations,” in Nichtlineare Sci 31, 2021, vol. 46.
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2021 | Journal Article | LibreCat-ID: 34827
J. Bruns, E. Unterhauser, and H. Gasteiger, “Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat,” Journal für Mathematik-Didaktik, vol. 42, no. 2, pp. 581–623, 2021, doi: 10.1007/s13138-021-00185-4.
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2021 | Journal Article | LibreCat-ID: 45382
S. Prediger and J. Dröse, “Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung,” Lernen und Lernstörungen, 10(2), 2021, doi: doi.org/10.1024/2235-0977/a000330.
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2021 | Journal Article | LibreCat-ID: 35702
M. Schürmann et al., “Consultation Phases in Mathematics Learning and Support Centres,” International Journal of Research in Undergraduate Mathematics Education, vol. 8, no. 1, pp. 94–120, 2021, doi: 10.1007/s40753-021-00154-9.
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2021 | Journal Article | LibreCat-ID: 31263
C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant Ruelle densities,” Annales Henri Lebesgue, vol. 4, pp. 81–119, 2021, doi: 10.5802/ahl.67.
LibreCat | DOI | arXiv
 

2021 | Journal Article | LibreCat-ID: 36271
D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” Journal of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi: 10.48550/arXiv.2008.07479.
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2021 | Book (Editor) | LibreCat-ID: 51493
J. Hilgert and I. Hilgert, Eds., Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
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2021 | Preprint | LibreCat-ID: 51503 | OA
J. Hilgert, T. Weich, and L. Wolf, “Higher-rank quantum-classical correspondence.” 2021.
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2021 | Book Review | LibreCat-ID: 51556
J. Hilgert, “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 68. pp. 171–173, 2021, doi: 10.1007/s00591-021-00295-7.
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2021 | Book Review | LibreCat-ID: 51555
J. Hilgert, “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020,” Mathematische Semesterberichte, vol. 68. pp. 175–177, 2021, doi: 10.1007/s00591-021-00296-6.
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2021 | Book Chapter | LibreCat-ID: 34161
S. Rezat, F. Schacht, and U. Häsel-Weide, “Challenges of making sense of tasks and automated feedback in digital mathematics textbooks,” in Mathematics Education in the Digital Age. Learning, Practice and Theory, A. Clark-Wilson, A. Donevska-Todorova, E. Faggiano, J. Trgalová , and H.-G. Weigang, Eds. London: Routledge, 2021, pp. 168–184.
LibreCat | Files available | DOI
 

2020 | Journal Article | LibreCat-ID: 19938
R. I. McLachlan and C. Offen, “Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation,” Foundations of Computational Mathematics, vol. 20, no. 6, pp. 1363–1400, 2020.
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2020 | Journal Article | LibreCat-ID: 19939 | OA
L. M. Kreusser, R. I. McLachlan, and C. Offen, “Detection of high codimensional bifurcations in variational PDEs,” Nonlinearity, vol. 33, no. 5, pp. 2335–2363, 2020.
LibreCat | DOI | Download (ext.)
 

2020 | Book Chapter | LibreCat-ID: 17411
K. Flaßkamp, S. Ober-Blöbaum, and S. Peitz, “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach,” in Advances in Dynamics, Optimization and Computation, O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer, 2020.
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 21819 | OA
S. Klus, F. Nüske, and B. Hamzi, “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator,” Entropy, 2020.
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2020 | Journal Article | LibreCat-ID: 16964
R. Hochmuth, M. Liebendörfer, R. Biehler, and A. Eichler, “Das Kompetenzzentrum Hochschuldidaktik Mathematik (khdm),” Neues Handbuch Hochschullehre, vol. 95, pp. 117–138, 2020.
LibreCat
 

2020 | Journal Article | LibreCat-ID: 10596
O. Schütze, O. Cuate, A. Martín, S. Peitz, and M. Dellnitz, “Pareto Explorer: a global/local exploration tool for many-objective optimization problems,” Engineering Optimization, vol. 52, no. 5, pp. 832–855, 2020.
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 16288
S. Klus, F. Nüske, S. Peitz, J.-H. Niemann, C. Clementi, and C. Schütte, “Data-driven approximation of the Koopman generator: Model reduction, system identification, and control,” Physica D: Nonlinear Phenomena, vol. 406, 2020.
LibreCat | DOI
 

2020 | Book Chapter | LibreCat-ID: 16289
S. Peitz and S. Klus, “Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator,” in Lecture Notes in Control and Information Sciences, vol. 484, Cham: Springer, 2020, pp. 257–282.
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 16290 | OA
K. Bieker, S. Peitz, S. L. Brunton, J. N. Kutz, and M. Dellnitz, “Deep model predictive flow control with limited sensor data and online learning,” Theoretical and Computational Fluid Dynamics, vol. 34, pp. 577–591, 2020.
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2020 | Journal Article | LibreCat-ID: 16309
S. Peitz, S. E. Otto, and C. W. Rowley, “Data-Driven Model Predictive Control using Interpolated Koopman  Generators,” SIAM Journal on Applied Dynamical Systems, vol. 19, no. 3, pp. 2162–2193, 2020.
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2020 | Book Chapter | LibreCat-ID: 13108
J. Schumacher and S. Rezat, “Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge,” in Zeichen und Sprache im Mathematikunterricht, G. Kadunz, Ed. Springer, 2020.
LibreCat | DOI
 

2020 | Conference Paper | LibreCat-ID: 31873
J. Schumacher, “Deduktion und Abduktion beim diagrammatischen Schließen – das didaktische Potential der Peirceschen Semiotik,” 2020, doi: 10.17877/DE290R-21555.
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 16710 | OA
R. Gerlach, A. Ziessler, B. Eckhardt, and M. Dellnitz, “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors,” SIAM Journal on Applied Dynamical Systems, pp. 705–723, 2020, doi: 10.1137/19m1247139.
LibreCat | DOI | Download (ext.)
 

2020 | Journal Article | LibreCat-ID: 34789
H. Amiri, H. Glöckner, and A. Schmeding, “Lie groupoids of mappings taking values in a Lie groupoid,” Archivum Mathematicum, vol. 56, no. 5, pp. 307–356, 2020, doi: 10.5817/AM2020-5-307.
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 34787
H. Glöckner and N. Masbough, “Products of regular locally compact spaces are k_R-spaces,” Topology Proceedings, vol. 55, pp. 35–38, 2020.
LibreCat
 

2020 | Preprint | LibreCat-ID: 34808
H. Glöckner, “Smoothing operators for vector-valued functions and extension operators,” arXiv:2006.00254. 2020.
LibreCat | arXiv
 

2020 | Preprint | LibreCat-ID: 34807
H. Glöckner, “Lie groups of real analytic diffeomorphisms are L^1-regular,” arXiv:2007.15611. 2020.
LibreCat | arXiv
 

2020 | Journal Article | LibreCat-ID: 29399
D. J. N. Limebeer, S. Ober-Blöbaum, and F. H. Farshi, “Variational integrators for dissipative systems,” IEEE Transactions on Automatic Control, vol. 65(4), pp. 1381–1396, 2020.
LibreCat
 

2020 | Journal Article | LibreCat-ID: 16297
C. I. Hernández Castellanos, S. Ober-Blöbaum, and S. Peitz, “Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty,” International Journal of Robust and Nonlinear Control, vol. 30(17), pp. 7593–7618, 2020, doi: 10.1002/rnc.5197.
LibreCat | DOI
 

2020 | Journal Article | LibreCat-ID: 29398
C. I. O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, and G. Morales-Luna, “Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping,” Mathematics, vol. 8(11):1959, 2020.
LibreCat
 

2020 | Conference Paper | LibreCat-ID: 29422
Y. Lishkova, S. Ober-Blöbaum, M. Cannon, and S. Leyendecker, “A multirate variational approach to simulation and optimal control for flexible spacecraft,” 2020.
LibreCat
 

2020 | Conference Paper | LibreCat-ID: 29423
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, and K. Worthmann, “A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems,” 2020.
LibreCat
 

2020 | Conference Paper | LibreCat-ID: 29424
J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Modelling of the convection-diffusion equation through fractional restricted calculus of variations,” 2020.
LibreCat
 

2020 | Journal Article | LibreCat-ID: 29545
F. Jean, S. Maslovskaya, and I. Zelenko, “On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry,” Geometriae Dedicata, vol. 213, no. 1, pp. 295–314, 2020, doi: 10.1007/s10711-020-00581-z.
LibreCat | DOI
 

2020 | Conference Abstract | LibreCat-ID: 29546 | OA
S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, and J.-B. Pomet, “The turnpike property in maximization of microbial metabolite production,” presented at the IFAC 2020 - 21rst IFAC World Congress, 2020.
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2020 | Journal Article | LibreCat-ID: 31264
B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,” Communications in Mathematical Physics, vol. 378, no. 2, pp. 917–941, 2020, doi: 10.1007/s00220-020-03793-2.
LibreCat | DOI
 

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