@article{35672,
  abstract     = {{<jats:p>This study examines modelling with machine learning. In the context of a yearlong data science course, the study explores how upper secondary students apply machine learning with Jupyter Notebooks and document the modelling process as a computational essay incorporating the different steps of the CRISP-DM cycle. The students’ work is based on a teaching module about decision trees in machine learning and a worked example of such a modelling process. The study outlines the students’ performance in carrying out the machine learning technically and reasoning about bias in the data, different data preparation steps, the application context, and the resulting decision model. Furthermore, the context of the study and the theoretical backgrounds are presented.</jats:p>}},
  author       = {{Fleischer, Franz Yannik and Biehler, Rolf and Schulte, Carsten}},
  issn         = {{1570-1824}},
  journal      = {{Statistics Education Research Journal}},
  keywords     = {{Education, Statistics and Probability}},
  number       = {{2}},
  publisher    = {{International Association for Statistical Education}},
  title        = {{{Teaching and Learning Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks}}},
  doi          = {{10.52041/serj.v21i2.61}},
  volume       = {{21}},
  year         = {{2022}},
}

@inbook{56201,
  author       = {{Biehler, Rolf and Hoffmann, Max}},
  booktitle    = {{Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik}},
  isbn         = {{9783662639474}},
  issn         = {{2197-8751}},
  publisher    = {{Springer Berlin Heidelberg}},
  title        = {{{Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium}}},
  doi          = {{10.1007/978-3-662-63948-1_4}},
  year         = {{2022}},
}

@inbook{56203,
  author       = {{Hoffmann, Max and Biehler, Rolf}},
  booktitle    = {{Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik}},
  isbn         = {{9783658340667}},
  issn         = {{2197-8751}},
  publisher    = {{Springer Fachmedien Wiesbaden}},
  title        = {{{Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse einer Evaluationsstudie}}},
  doi          = {{10.1007/978-3-658-34067-4_20}},
  year         = {{2022}},
}

@inbook{43231,
  author       = {{Podworny, Susanne and Frischemeier, Daniel and Biehler, Rolf}},
  booktitle    = {{Statistics for Empowerment and Social Engagement}},
  isbn         = {{9783031207471}},
  publisher    = {{Springer International Publishing}},
  title        = {{{Civic Statistics for Prospective Teachers: Developing Content and Pedagogical Content Knowledge Through Project Work}}},
  doi          = {{10.1007/978-3-031-20748-8_15}},
  year         = {{2022}},
}

@inbook{43230,
  author       = {{Frischemeier, Daniel and Podworny, Susanne and Biehler, Rolf}},
  booktitle    = {{Statistics for Empowerment and Social Engagement}},
  isbn         = {{9783031207471}},
  pages        = {{199--236}},
  publisher    = {{Springer International Publishing}},
  title        = {{{Data Visualization Packages for Non-inferential Civic Statistics in High School Classrooms}}},
  doi          = {{10.1007/978-3-031-20748-8_9}},
  year         = {{2022}},
}

@inproceedings{39062,
  author       = {{Liebendörfer, Michael and Profeta, Angelo and Krämer, Sandra and Schlüter, Sarah and Becher, Silvia and Biehler, Rolf and Mai, Tobias and Schmitz, Angela}},
  location     = {{Bozen-Bolzano, Italy}},
  title        = {{{Enriching videos with interactive questions to enhance students’ cognitive activity: concept and implementation}}},
  year         = {{2022}},
}

@inproceedings{39064,
  author       = {{Podworny, Susanne and Fleischer, Franz Yannik and Stroop, Dietlinde and Biehler, Rolf}},
  location     = {{Bozen-Bolzano, Italy}},
  title        = {{{An example of rich, real and multivariate survey data for use in school}}},
  year         = {{2022}},
}

@inproceedings{56251,
  abstract     = {{<jats:p>Statistical reasoning and the confrontation with first ideas of uncertainty can already be enhanced in primary school. A challenge is how to relate theoretical-combinatorial aspects to empirical frequency aspects, given that fraction concepts are usually not available at primary school. In the frame of a Design Based Research approach we have designed and realized a teaching sequence consisting of seven lessons to develop statistical reasoning about uncertainty of grade 4 students (age 10-11). To supervise their learning processes we collected data on different levels: (a) written pre/post-tests, (b) working notes after each lesson and (c) interviews after the teaching unit. In this paper we will mainly present the design of teaching unit and first results from the analysis of pre- and posttests.</jats:p>}},
  author       = {{Frischemeier, Daniel and Biehler, Rolf}},
  booktitle    = {{Decision Making Based on Data Proceedings IASE 2019 Satellite Conference}},
  publisher    = {{International Association for Statistical Education}},
  title        = {{{Design of a teaching unit to develop primary school students ́ reasoning about uncertainty in multi-step chance experiments}}},
  doi          = {{10.52041/srap.19304}},
  year         = {{2022}},
}

@inbook{35752,
  author       = {{Frischemeier, Daniel and Podworny, Susanne and Biehler, Rolf}},
  booktitle    = {{Konzepte und Studien Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematikzur Hochschuldidaktik und Lehrerbildung Mathematik}},
  editor       = {{Biehler, Rolf and Eichler, Andreas and Hochmuth, Reinhard and Rach, Stefanie and Schaper, Niclas}},
  isbn         = {{9783662628539}},
  issn         = {{2197-8751}},
  pages        = {{227--249}},
  publisher    = {{Springer Spektrum}},
  title        = {{{Integration fachwissenschaftlicher und fachdidaktischer Komponenten in der Lehramtsausbildung Mathematik Grundschule am Beispiel einer Veranstaltung zur Leitidee „Daten, Häufigkeit und Wahrscheinlichkeit“}}},
  doi          = {{10.1007/978-3-662-62854-6_11}},
  year         = {{2021}},
}

@inbook{35757,
  author       = {{Hochmuth, Reinhard and Biehler, Rolf and Blum, Werner and Achmetli, Kay and Rode, Jana and Krawitz, Janina and Schukajlow, Stanislaw and Bender, Peter and Haase, Jürgen}},
  booktitle    = {{Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik}},
  editor       = {{Biehler, Rolf and Eichler, Andreas and Hochmuth, Reinhard and Rach, Stefanie and Schaper, Niclas}},
  isbn         = {{9783662628539}},
  issn         = {{2197-8751}},
  pages        = {{611--644}},
  publisher    = {{Springer Spektrum}},
  title        = {{{Fachwissen zur Arithmetik bei Grundschullehramtsstudierenden – Entwicklung im ersten Semester und Veränderungen durch eine Lehrinnovation}}},
  doi          = {{10.1007/978-3-662-62854-6_24}},
  year         = {{2021}},
}

@inbook{35746,
  author       = {{Fleischmann, Yael and Biehler, Rolf and Gold, Alexander and Mai, Tobias}},
  booktitle    = {{Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik}},
  editor       = {{Biehler, Rolf and Eichler, Andreas and Hochmuth, Reinhard and Rach, Stefanie and Schaper, Niclas}},
  isbn         = {{9783662628539}},
  issn         = {{2197-8751}},
  pages        = {{321--363}},
  publisher    = {{Springer Spektrum}},
  title        = {{{Integration digitaler Lernmaterialien in die Präsenzlehre am Beispiel des Mathematikvorkurses für Ingenieure an der Universität Paderborn}}},
  doi          = {{10.1007/978-3-662-62854-6_15}},
  year         = {{2021}},
}

@inbook{35755,
  author       = {{Gold, Alexander and Fleischmann, Yael and Mai, Tobias and Biehler, Rolf and Kempen, Leander}},
  booktitle    = {{Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik}},
  editor       = {{Biehler, Rolf and Eichler, Andreas and Hochmuth, Reinhard and Rach, Stefanie and Schaper, Niclas}},
  isbn         = {{9783662628539}},
  issn         = {{2197-8751}},
  pages        = {{365--397}},
  publisher    = {{Springer Spektrum}},
  title        = {{{Die Online-Lernmaterialien im Online-Mathematikvorkurs studiVEMINT: Konzeption und Ergebnisse von Nutzer- und Evaluationsstudien}}},
  doi          = {{10.1007/978-3-662-62854-6_16}},
  year         = {{2021}},
}

@inbook{35730,
  author       = {{Biehler, Rolf and Eichler, Andreas and Hochmuth, Reinhard and Rach, Stefanie and Schaper, Niclas}},
  booktitle    = {{Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik}},
  editor       = {{Biehler, Rolf and Eichler, Andreas and Hochmuth, Reinhard and Rach, Stefanie and Schaper, Niclas}},
  isbn         = {{9783662628539}},
  issn         = {{2197-8751}},
  pages        = {{1--6}},
  publisher    = {{Springer Spektrum}},
  title        = {{{Einführung: Lehrinnovationen in der Hochschulmathematik – praxisrelevant – didaktisch fundiert – forschungsbasiert}}},
  doi          = {{10.1007/978-3-662-62854-6_1}},
  year         = {{2021}},
}

@inbook{35720,
  author       = {{Biehler, Rolf}},
  booktitle    = {{Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik}},
  editor       = {{Biehler, Rolf and Eichler, Andreas and Hochmuth, Reinhard and Rach, Stefanie and Schaper, Niclas}},
  pages        = {{285–290}},
  publisher    = {{Springer Spektrum}},
  title        = {{{Mathematikvorkurse als Brücke in das Studium–Einführung}}},
  doi          = {{10.1007/978-3-662-62854-6_13}},
  year         = {{2021}},
}

@book{35734,
  editor       = {{Biehler, Rolf and Eichler, Andreas and Hochmuth, Reinhard and Rach, Stefanie and Schaper, Niclas}},
  isbn         = {{9783662628539}},
  issn         = {{2197-8751}},
  publisher    = {{Springer Spektrum}},
  title        = {{{Lehrinnovationen in der Hochschulmathematik}}},
  doi          = {{10.1007/978-3-662-62854-6}},
  year         = {{2021}},
}

@article{35744,
  author       = {{Biehler, Rolf and Weigand, Hans-Georg}},
  journal      = {{mathematik lehren}},
  number       = {{228}},
  pages        = {{2–5}},
  publisher    = {{Friedrich Verlag}},
  title        = {{{3D-Geometrie–virtuell und real}}},
  volume       = {{2021}},
  year         = {{2021}},
}

@article{35778,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>The aim of the special issue is to bring together important current international research on innovative teaching and learning practices in mathematics in engineering education, and to develop deeper understandings of the characteristics of current teaching and learning practices that can inform the design and implementation of future innovative practice. The focus of this review paper is to provide a state-of-the-art overview of this emerging field at the cross-roads between mathematics and engineering education, in addition to introducing the papers of this special issue. To guide this paper, we posed three review questions: (1) How can current (teaching/learning/study) practices of mathematics in engineering education be characterized with a view towards innovation?; (2) What are the ‘resources’ (cognitive, material, digital, social) used, and what are those that appear also well suited for innovative courses?; (3) What are promising innovative practices in mathematics in engineering education, and what are the implications for curriculum reform? Looking back across the studies we summarized in the review, we conclude that they are lagging behind the more fundamental changes that are happening in engineering education, whilst addressing selected aspects of innovative changes within the current system of engineering education. At the same time, the nine papers of this special issue contribute new perspectives for innovative practices in mathematics in engineering education, for a better understanding of current practices and for future research.</jats:p>}},
  author       = {{Pepin, Birgit and Biehler, Rolf and Gueudet, Ghislaine}},
  issn         = {{2198-9745}},
  journal      = {{International Journal of Research in Undergraduate Mathematics Education}},
  keywords     = {{Education, Mathematics (miscellaneous)}},
  number       = {{2}},
  pages        = {{163--188}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Mathematics in Engineering Education: a Review of the Recent Literature with a View towards Innovative Practices}}},
  doi          = {{10.1007/s40753-021-00139-8}},
  volume       = {{7}},
  year         = {{2021}},
}

@inbook{35776,
  author       = {{Kempen, Leander and Biehler, Rolf}},
  booktitle    = {{Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik}},
  editor       = {{Biehler, Rolf and Eichler, Andreas and Hochmuth, Reinhard and Rach, Stefanie and Schaper, Niclas}},
  isbn         = {{9783662628539}},
  issn         = {{2197-8751}},
  pages        = {{477--525}},
  publisher    = {{Springer Spektrum}},
  title        = {{{Design-Based Research in der Hochschullehre am Beispiel der Lehrveranstaltung „Einführung in die Kultur der Mathematik“}}},
  doi          = {{10.1007/978-3-662-62854-6_20}},
  year         = {{2021}},
}

@inbook{35704,
  author       = {{Winsløw, Carl and Biehler, Rolf and Jaworski, Barbara and Rønning, Frode and Wawro, Megan}},
  booktitle    = {{Research and Development in University Mathematics Education}},
  editor       = {{Durand-Guerrier, V. and Hochmuth, R. and Nardi, E. and Winsløw, C.}},
  isbn         = {{9780429346859}},
  pages        = {{59--79}},
  publisher    = {{Routledge}},
  title        = {{{Education and professional development of university mathematics teachers}}},
  doi          = {{10.4324/9780429346859-6}},
  year         = {{2021}},
}

@article{35761,
  author       = {{Höper, Lukas and Malin, Leah and Biehler, Rolf}},
  journal      = {{mathematik lehren}},
  number       = {{228}},
  pages        = {{19–22}},
  publisher    = {{Friedrich Verlag}},
  title        = {{{Schatten von 3D-Objekten: Modellierung mit GeoGebra 3D und Anwendungen in der Computergrafik}}},
  volume       = {{2021}},
  year         = {{2021}},
}