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71 Publications
2024 | Journal Article | LibreCat-ID: 54144
E. Lankeit and R. Biehler, “The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning,” ZDM – Mathematics Education, 2024, doi: 10.1007/s11858-024-01584-w.
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2023 | Book Chapter | LibreCat-ID: 35697
L. Ostsieker and R. Biehler, “Supporting Students in Developing Adequate Concept Images and Definitions at University: The Case of the Convergence of Sequences,” in Practice-Oriented Research in Tertiary Mathematics Education, Cham: Springer International Publishing, 2023, pp. 181–201.
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2023 | Book Chapter | LibreCat-ID: 35678
J. Kortemeyer and R. Biehler, “Analyzing the Interface Between Mathematics and Engineering in Basic Engineering Courses,” in Practice-Oriented Research in Tertiary Mathematics Education, Cham: Springer International Publishing, 2023, pp. 669–692.
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2023 | Book Chapter | LibreCat-ID: 48480
J. Kortmeyer and R. Biehler, “The use of integrals for accumulation and mean values in basic electrical engineering courses,” in The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference, T. Dreyfus, A. S. Gonzalez-Martin, E. Nardi, J. Monaghan, and P. W. Thompson, Eds. MatRIC, 2023, pp. 121–124.
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2023 | Book Chapter | LibreCat-ID: 48042
R. Biehler, D. Frischemeier, R. Gould, and M. Pfannkuch, “Impacts of Digitalization on Content and Goals of Statistics Education,” in Handbook of Digital Resources in Mathematics Education, B. Pepin, G. Gueudet, and J. Choppin, Eds. Cham: Springer International Publishing, 2023.
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2023 | Journal Article | LibreCat-ID: 49049
R. Biehler and K. Krüger, “Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel,” GDM-Mitteilungen, no. 115, pp. 57–65, 2023.
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2023 | Book Chapter | LibreCat-ID: 35669
R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, “Practice-Oriented Research in Tertiary Mathematics Education – An Introduction,” in Practice-Oriented Research in Tertiary Mathematics Education, Cham: Springer International Publishing, 2023.
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2023 | Book Chapter | LibreCat-ID: 35681
M. Liebendörfer, C. Büdenbender-Kuklinski, E. Lankeit, M. Schürmann, R. Biehler, and N. Schaper, “Framing Goals of Mathematics Support Measures,” in Practice-Oriented Research in Tertiary Mathematics Education, Cham: Springer International Publishing, 2023, pp. 91–117.
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2023 | Journal Article | LibreCat-ID: 43504
R. Biehler, M. Liebendörfer, and A. Schmitz, “Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos,” Mitteilungen der Gesellschaft für Didaktik der Mathematik, vol. 114, pp. 8–12, 2023.
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2022 | Book Chapter | LibreCat-ID: 35696
R. Nieszporek, B. Griese, and R. Biehler, “Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability,” in Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan, Eds. Rosario, Argentina: International Association for Statistical Education, 2022.
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2022 | Conference Paper | LibreCat-ID: 34919
R. Biehler, “Revisiting Fundamental Ideas for Statistics Education From the Perspective of Machine Learning and Its Applications,” in Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, 2022, doi: 10.52041/iase.icots11.t1a2.
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2022 | Journal Article | LibreCat-ID: 34920
R. Biehler, R. De Veaux, J. Engel, S. Kazak, and D. Frischemeier, “Editorial: Research on Data Science Education,” Statistics Education Research Journal, vol. 21, no. 2, Art. no. 1, 2022, doi: 10.52041/serj.v21i2.606.
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2022 | Journal Article | LibreCat-ID: 35718
R. Biehler, H. Langlotz, and W. Zappe, “Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln,” mathematik lehren, vol. 2022, no. 232, pp. 41–45, 2022.
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2022 | Journal Article | LibreCat-ID: 35926
R. Biehler and B. Griese, “Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren,” mathematik lehren, vol. 2022, no. 232, pp. 2–6, 2022.
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2022 | Journal Article | LibreCat-ID: 35672
Y. Fleischer, R. Biehler, and C. Schulte, “Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks,” Statistics Education Research Journal, vol. 21, no. 2, Art. no. 7, 2022, doi: 10.52041/serj.v21i2.61.
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2022 | Conference Paper | LibreCat-ID: 39058
B. Griese, R. Nieszporek, and R. Biehler, “Facilitators’ views on content goals, learning obstacles, and teaching resources in reference to conditional probability,” presented at the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022.
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2022 | Book Chapter | LibreCat-ID: 42653 | 
E. Lankeit and R. Biehler, “Mathematik-Vorkurse zur Vorbereitung auf das Studium – Zielsetzungen und didaktische Konzepte,” in Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, R. Hochmuth, R. Biehler, M. Liebendörfer, and N. Schaper, Eds. Berlin, Heidelberg: Springer, 2022, pp. 117–141.
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2022 | Journal Article | LibreCat-ID: 35685
M. Liebendörfer et al., “The role of learning strategies for performance in mathematics courses for engineers,” International Journal of Mathematical Education in Science and Technology, vol. 53, no. 5, pp. 1133–1152, 2022, doi: 10.1080/0020739x.2021.2023772.
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2022 | Book (Editor) | LibreCat-ID: 42650 |
R. Hochmuth, R. Biehler, M. Liebendörfer, and N. Schaper, Eds., Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse. Berlin, Heidelberg: Springer, 2022.
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2022 | Book Chapter | LibreCat-ID: 43232
J. Ridgway, P. Campos, and R. Biehler, “Data Science, Statistics, and Civic Statistics: Education for a Fast Changing World,” in Statistics for Empowerment and Social Engagement, Cham: Springer International Publishing, 2022.
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2022 | Book Chapter | LibreCat-ID: 42649 |
T. Bauer, R. Biehler, and E. Lankeit, “Mini-Aufgaben in mathematischen Übungsgruppen zur Analysis: Charakteristika von Aufgaben und Abstimmungsverhalten von Studierenden,” in Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, R. Hochmuth, R. Biehler, M. Liebendörfer, and N. Schaper, Eds. Berlin, Heidelberg: Springer Berlin Heidelberg, 2022, pp. 515–543.
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2022 | Book Chapter | LibreCat-ID: 42652
E. Lankeit and R. Biehler, “Vorkurse und ihre Wirkungen im Übergang Schule – Hochschule,” in Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, R. Hochmuth, R. Biehler, M. Liebendörfer, and N. Schaper, Eds. Berlin, Heidelberg: Springer, 2022, pp. 293–363.
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2022 | Conference Paper | LibreCat-ID: 39062
M. Liebendörfer et al., “Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation,” presented at the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022.
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2022 | Book Chapter | LibreCat-ID: 42651
R. Hochmuth et al., “Einführung in das WiGeMath-Projekt: Wirkung und Gelingensbedingungen von Unterstützungsmaßnahmen für mathematikbezogenes Lernen in der Studieneingangsphase,” in Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, H. Reinhard, R. Biehler, M. Liebendörfer, and N. Schaper, Eds. Berlin, Heidelberg: Springer, 2022, pp. 3–31.
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2022 | Book Chapter | LibreCat-ID: 42654 |
M. Liebendörfer et al., “Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik,” in Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, R. Hochmuth, R. Biehler, M. Liebendörfer, and N. Schaper, Eds. Berlin, Heidelberg: Springer, 2022, pp. 33–65.
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2022 | Conference Paper | LibreCat-ID: 35674
Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, and C. Schulte, “Jupyter Notebooks for Teaching, Learning, and Doing Data Science,” in Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, 2022, doi: 10.52041/iase.icots11.t10e3.
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2022 | Book Chapter | LibreCat-ID: 43231
S. Podworny, D. Frischemeier, and R. Biehler, “Civic Statistics for Prospective Teachers: Developing Content and Pedagogical Content Knowledge Through Project Work,” in Statistics for Empowerment and Social Engagement, Cham: Springer International Publishing, 2022.
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2022 | Book Chapter | LibreCat-ID: 43230
D. Frischemeier, S. Podworny, and R. Biehler, “Data Visualization Packages for Non-inferential Civic Statistics in High School Classrooms,” in Statistics for Empowerment and Social Engagement, Cham: Springer International Publishing, 2022, pp. 199–236.
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2022 | Conference Paper | LibreCat-ID: 39064
S. Podworny, Y. Fleischer, D. Stroop, and R. Biehler, “An example of rich, real and multivariate survey data for use in school,” presented at the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022.
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2022 | Book Chapter | LibreCat-ID: 42655 |
M. Schürmann et al., “Evaluation von Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen,” in Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse, R. Hochmuth, R. Biehler, M. Liebendörfer, and N. Schaper, Eds. Berlin, Heidelberg: Springer, 2022, pp. 67–113.
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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: 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 | 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: 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 | 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 | 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 | 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 | 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 | 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 | 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: 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: 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: 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 | 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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2020 | Book Chapter | LibreCat-ID: 35811
R. Biehler and V. Durand-Guerrier, “University Mathematics Didactic Research on Number Theory, Algebra, Discrete Mathematics, Logic,” in Proceedings of the Third Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2020, 12-19 September 2020), T. Hausberger, M. Bosch, and F. Chelloughi, Eds. Bizerte, Tunisia: University of Carthage and INDRUM, 2020.
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