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1616 Publications
2021 | Book (Editor) | LibreCat-ID: 35734
Biehler, Rolf, Andreas Eichler, Reinhard Hochmuth, Stefanie Rach, and Niclas Schaper, eds. Lehrinnovationen in Der Hochschulmathematik. Berlin, Heidelberg: Springer Spektrum, 2021. https://doi.org/10.1007/978-3-662-62854-6.
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| DOI
2021 | Journal Article | LibreCat-ID: 35744
Biehler, Rolf, and Hans-Georg Weigand. “3D-Geometrie–virtuell und real.” mathematik lehren 2021, no. 228 (2021): 2–5.
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2021 | Journal Article | LibreCat-ID: 35778
Pepin, Birgit, Rolf Biehler, and Ghislaine 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 7, no. 2 (2021): 163–88. https://doi.org/10.1007/s40753-021-00139-8.
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| DOI
2021 | Book Chapter | LibreCat-ID: 35776
Kempen, Leander, and Rolf 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, edited by Rolf Biehler, Andreas Eichler, Reinhard Hochmuth, Stefanie Rach, and Niclas Schaper, 477–525. Berlin, Heidelberg: Springer Spektrum, 2021. https://doi.org/10.1007/978-3-662-62854-6_20.
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| DOI
2021 | Book Chapter | LibreCat-ID: 35704
Winsløw, Carl, Rolf Biehler, Barbara Jaworski, Frode Rønning, and Megan Wawro. “Education and Professional Development of University Mathematics Teachers.” In Research and Development in University Mathematics Education, edited by V. Durand-Guerrier, R. Hochmuth, E. Nardi, and C. Winsløw, 59–79. Routledge, 2021. https://doi.org/10.4324/9780429346859-6.
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| DOI
2021 | Journal Article | LibreCat-ID: 35761
Höper, Lukas, Leah Malin, and Rolf Biehler. “Schatten von 3D-Objekten: Modellierung mit GeoGebra 3D und Anwendungen in der Computergrafik.” mathematik lehren 2021, no. 228 (2021): 19–22.
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2021 | Journal Article | LibreCat-ID: 35763
Hüsing, Sven, Niklas Weiser, and Rolf Biehler. “Faszination 3D-Film: Entwicklung einer 3D-Konstruktion.” mathematik lehren 2021, no. 228 (2021): 23–27.
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2021 | Journal Article | LibreCat-ID: 35702
Schürmann, Mirko, Anja Panse, Zain Shaikh, Rolf Biehler, Niclas Schaper, Michael Liebendörfer, and Joachim Hilgert. “Consultation Phases in Mathematics Learning and Support Centres.” International Journal of Research in Undergraduate Mathematics Education 8, no. 1 (2021): 94–120. https://doi.org/10.1007/s40753-021-00154-9.
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2021 | Journal Article | LibreCat-ID: 35781
Podworny, Susanne, and Rolf 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 24, no. 4 (2021): 291–311. https://doi.org/10.1080/10986065.2021.1922837.
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2021 | Journal Article | LibreCat-ID: 35751
Frischemeier, Daniel, Rolf Biehler, Susanne Podworny, and Lea 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 43, no. S1 (2021): S182–89. https://doi.org/10.1111/test.12283.
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| DOI
2021 | Journal Article | LibreCat-ID: 24786
Schürmann, Mirko, Michael Liebendörfer, Lara Gildehaus, Niclas Schaper, Reinhard Hochmuth, Rolf Biehler, Elisa Lankeit, Christiane Kuklinski, and Johanna Ruge. “Opportunities and Possibilities of a Network of Mathematical Learning and Support Centres in Germany.” Sigma Newsletter 22 (2021): 5–6.
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2021 | Journal Article | LibreCat-ID: 45335
Schönherr, Johanna, S. Schukajlow, and J. Blomberg. “Was ist eine gute Skizze? Strategiewissen beim mathematischen Modellieren im Bereich der Geometrie fördern.” mathematik lehren 224 (2021): 22–27.
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2021 | Journal Article | LibreCat-ID: 45333
Schönherr, Johanna, 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. https://doi.org/10.1080/10986065.2021.2012741.
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| DOI
2021 | Journal Article | LibreCat-ID: 45342
Schönherr, Johanna, 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 65 (2021). https://doi.org/10.1016/j.cedpsych.2021.101967.
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| DOI
2021 | Journal Article | LibreCat-ID: 55290
Baier, St., D. Mazumder, and Marc Technau. “On the Distribution of Αp modulo One in Quadratic Number Fields.” Unif. Distrib. Theory 16, no. 2 (2021): 1–48. https://doi.org/10.2478/udt-2021-0006.
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| DOI
2021 | Journal Article | LibreCat-ID: 55289
Technau, Marc, and A. Zafeiropoulos. “Metric Results on Summatory Arithmetic Functions on Beatty Sets.” Acta Arith. 197, no. 1 (2021): 93–104. https://doi.org/10.4064/aa200128-10-6.
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| DOI
2021 | Book | LibreCat-ID: 51493
Hilgert, Joachim, and Ingrid Hilgert. Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 35737
Biehler, Rolf, and Franz Yannik Fleischer. “Introducing Students to Machine Learning with Decision Trees Using CODAP and Jupyter Notebooks.” Teaching Statistics 43 (2021): S133–42. https://doi.org/10.1111/test.12279.
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| DOI
2021 | Book Chapter | LibreCat-ID: 37485
Rach, Stefanie, and Michael 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), edited by Kerstin Hein, Cathleen Heil, Silke Ruwisch, and Susanne Prediger, 247–248. Beiträge Zum Mathematikunterricht. Münster: WTM-Verlag für wissenschaftliche Texte und Medien, 2021.
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2021 | Journal Article | LibreCat-ID: 37474
Büchele, Stefan, Michael Liebendörfer, and Elisa 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 40, no. 4 (2021): 478–96. https://doi.org/10.1093/teamat/hrab013.
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| DOI
2021 | Journal Article | LibreCat-ID: 37483
Gildehaus, Lara, Robin Göller, and Michael Liebendörfer. “Gymnasiales Lehramt Mathematik Studieren – Eine Übersicht Zur Studienorganisation in Deutschland.” Mitteilungen Der Gesellschaft Für Didaktik Der Mathematik 47, no. 111 (2021): 27–32.
LibreCat
2021 | Conference Paper | LibreCat-ID: 37481
Vajen, Bastian, Lara Gildehaus, Michael Liebendörfer, and Christoph Wolf. “Mathematisierung Als Herausforderung Für Die Politische Bildung.” In Schriftenreihe Der DVPB. Standortbestimmung Politische Bildung: Gesellschaftspolitische Herausforderungen, Zivilgesellschaft Und Das Vermeintliche Neutralitätsgebot, edited by Steve Kenner and T. Oeftering, 188–200. Frankfurt: Wochenschau, 2021.
LibreCat
2021 | Book Chapter | LibreCat-ID: 37480
Göller, Robin, Lara Gildehaus, Michael Liebendörfer, and Jörn Steuding. “Prüfungsformate Als Ansatzpunkt Gendersensibler Universitärer Lehre Im Fach Mathematik.” In Mathematik Und Gender: Berichte Und Beiträge Des Arbeitskreise Frauen Und Mathematik, edited by Andrea Blunck and Renate Motzer, 5:59–76. Franzbecker, 2021.
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2021 | Conference Paper | LibreCat-ID: 37478
Haak, Inka, Lara Gildehaus, and Michael Liebendörfer. “Genese Und Funktionen von Lerngruppen in Der Studieneingangsphase.” In Naturwissenschaftlicher Unterricht Und Lehrerbildung Im Umbruch?, 89–92. Universität Duisburg-Essen, 2021.
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2021 | Journal Article | LibreCat-ID: 37473
Kempen, Leander, and Michael 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 40, no. 4 (2021): 436–54. https://doi.org/10.1093/teamat/hrab020.
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| DOI
2021 | Conference Paper | LibreCat-ID: 37487
Liebendörfer, Michael, Reinhard Hochmuth, Jana Rode, and Stanislaw 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, edited by M. Inprasitha, N. Changsri, and N. Boonsena, 3:198–205. Khon Kaen (Thailand): PME, 2021.
LibreCat
2021 | Journal Article | LibreCat-ID: 37494
Krapf, Regula, and Michael Liebendörfer. “Was Bewirkt Die Pflichtabgabe von Übungsaufgaben in Der Hochschulmathematik? – Ein Empirischer Vergleich.” Mathematica Didactica 2, no. 44 (2021): 1–17.
LibreCat
2021 | Journal Article | LibreCat-ID: 35616
Winkler, Michael. “Global Weak Solutions in a Three-Dimensional Keller-Segel-Navier-Stokes System with Gradient-Dependent Flux Limitation.” Nonlinear Analysis: Real World Applications 59 (2021).
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2021 | Journal Article | LibreCat-ID: 35615
Winkler, Michael. “Suppressing Blow-up by Gradient-Dependent Flux Limitation in a Planar Keller-Segel-Navier-Stokes System.” Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
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2021 | Journal Article | LibreCat-ID: 35614
Winkler, Michael. “Can Rotational Fluxes Impede the Tendency toward Spatial Homogeneity in Nutrient Taxis (-Stokes) Systems?” International Mathematics Research Notices 2021 (2021): 8106–52.
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2021 | Journal Article | LibreCat-ID: 35617
Winkler, Michael. “Boundedness in a Three-Dimensional Keller-Segel-Stokes System with Subcritical Sensitivity.” Applied Mathematics Letters 112 (2021): 106785.
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2021 | Journal Article | LibreCat-ID: 35613
Winkler, Michael. “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 374 (2021): 219–68.
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2021 | Journal Article | LibreCat-ID: 37659
Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions of Type B.” Proceedings of the American Mathematical Society 149, no. 3 (2021): 1151–63. https://doi.org/10.1090/proc/15312.
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2021 | Journal Article | LibreCat-ID: 35603
Tao, Youshan, and Michael Winkler. “A Fully Cross-Diffusive Two-Component Evolution System: Existence and Qualitative Analysis via Entropy-Consistent Thin-Film-Type Approximation.” Journal of Functional Analysis 281 (2021).
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2021 | Journal Article | LibreCat-ID: 35606
Tao, Youshan, and Michael Winkler. “The Dampening Role of Large Repulsive Convection in a Chemotaxis System Modeling Tumor Angiogenesis.” Nonlinear Analysis, Theory, Methods and Applications 208 (2021).
LibreCat
2021 | Journal Article | LibreCat-ID: 35612
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” Science China Mathematics 64 (2021): 725–46.
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2021 | Journal Article | LibreCat-ID: 35601
Ding, Mengyao, and Michael Winkler. “Small-Density Solutiions in Keller-Segel Systems Involving Rapidly Decaying Diffusivities.” Nonlinear Differential Equatiions and Applicatiions 28 (2021).
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2021 | Journal Article | LibreCat-ID: 35605
Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Two-Dimensional Cross-Diffusion System Modeling Propagation of Urban Crime.” Communications in Mathematical Sciences 19 (2021): 829–49.
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2021 | Journal Article | LibreCat-ID: 35604
Tao, Youshan, and Michael Winkler. “Taxis-Driven Formation of Singular Hotspots in a May-Nowak Type Model for Virus Infection.” SIAM Journal on Mathematical Analysis 53 (2021): 1411–33.
LibreCat
2021 | Journal Article | LibreCat-ID: 35610
Wang, Yulan, Michael Winkler, and Zhaoyin 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 46 (2021): 1058–91.
LibreCat
2021 | Journal Article | LibreCat-ID: 35611
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Solvability in a Threee-Dimensional Keller-Segel.Stokes System Involving Arbitrary Superlinear Logistic Degradation.” Advances in Nonlinear Analysis 10 (2021): 707–31.
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2021 | Journal Article | LibreCat-ID: 35608
Tao, Youshan, and Michael Winkler. “Critical Mass for Infinite-Time Blow-up in a Haptotaxis System with Nonlinear Zero-Order Interaction.” Discrete and Continuous Dynamical Systems 41, no. A (2021): 439–54.
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2021 | Journal Article | LibreCat-ID: 34840
Klüners, Jürgen, and Toru Komatsu. “Imaginary Multiquadratic Number Fields with Class Group of Exponent $3$ and $5$.” Mathematics of Computation 90, no. 329 (2021): 1483–97. https://doi.org/10.1090/mcom/3609.
LibreCat
| DOI
| arXiv
2021 | Journal Article | LibreCat-ID: 34912
Kirschmer, Markus, Fabien Narbonne, Christophe Ritzenthaler, and Damien Robert. “Spanning the Isogeny Class of a Power of an Elliptic Curve.” Mathematics of Computation 91, no. 333 (2021): 401–49. https://doi.org/10.1090/mcom/3672.
LibreCat
| DOI
2021 | Journal Article | LibreCat-ID: 44329
Burban, Igor, and R. Abedin. “Algebraic Geometry of Lie Bialgebras Defined by Solutions of the Classical Yang-Baxter Equation.” Communications in Mathematical Physics 387, no. 2 (2021): 1051–1109. https://doi.org/10.1007/s00220-021-04188-7.
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| DOI
2021 | Journal Article | LibreCat-ID: 34822
Bruns, Julia, Hedwig Gasteiger, and Carolin Strahl. “Conceptualising and Measuring Domain-Specific Content Knowledge of Early Childhood Educators: A Systematic Review.” Review of Education 9, no. 2 (2021): 500–538. https://doi.org/10.1002/rev3.3255.
LibreCat
| DOI
| WoS
2021 | Journal Article | LibreCat-ID: 45687
Bruns, Julia, and T. Schopferer. “Eine mustergültige Wissenschaft.” . . TPS – Theorie und Praxis der Sozialpädagogik 11 (2021): 28–32.
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2021 | Conference Paper | LibreCat-ID: 36527 |

Jensen, Solveig, Hedwig Gasteiger, and Julia 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, edited by Maitree Inprasitha, Narumon Changsri, and Nisakorn Boonsena, 3:101–9, 2021.
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2021 | Journal Article | LibreCat-ID: 34823
Bruns, Julia, Hedwig Gasteiger, and Carolin Strahl. “Context and Implications Document for: Conceptualising and Measuring Domain-Specific Content Knowledge of Early Childhood Educators: A Systematic Review.” Review of Education 9, no. 2 (2021): 539–40. https://doi.org/10.1002/rev3.3256.
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| WoS
2021 | Conference Paper | LibreCat-ID: 36536 |

Jensen, Solveig, Hedwig Gasteiger, and Julia Bruns. “Stellenwertverständnis: Verständnis von Stellenwertprinzip und Bündelungsprinzip als separate Konstrukte.” In Beiträge zum Mathematikunterricht 2021, edited by Gesellschaft für Didaktik der Mathematik. WTM-Verlag, 2021. http://dx.doi.org/10.17877/DE290R-22292.
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