@misc{35698,
  author       = {{Schürmann, Mirko and Büdenbender-Kuklinski, C. and Lankeit, Elisa and Liebendörfer, Michael and Hochmuth, R. and Biehler, Rolf and Schaper, N.}},
  publisher    = {{LibreCat University}},
  title        = {{{Dokumentation der Erhebungsinstrumente des Projekts WiGeMath}}},
  doi          = {{10.17170/KOBRA-202205176188}},
  year         = {{2022}},
}

@inbook{42651,
  author       = {{Hochmuth, Reinhard and Biehler, Rolf and Schaper, Niclas and Liebendörfer, Michael and Büdenbender-Kuklinski, Christiane and Lankeit, Elisa and Ruge, Johanna and Schürmann, Mirko}},
  booktitle    = {{Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse}},
  editor       = {{Reinhard, Hochmuth and Biehler, Rolf and Liebendörfer, Michael and Schaper, Niclas}},
  isbn         = {{9783662648322}},
  issn         = {{2197-8751}},
  pages        = {{3--31}},
  publisher    = {{Springer}},
  title        = {{{Einführung in das WiGeMath-Projekt: Wirkung und Gelingensbedingungen von Unterstützungsmaßnahmen für mathematikbezogenes Lernen in der Studieneingangsphase}}},
  doi          = {{10.1007/978-3-662-64833-9_1}},
  year         = {{2022}},
}

@inbook{42654,
  author       = {{Liebendörfer, Michael and Hochmuth, Reinhard and Biehler, Rolf and Schaper, Niclas and Büdenbender-Kuklinski, Christiane and Lankeit, Elisa and Ruge, Johanna and Schürmann, Mirko}},
  booktitle    = {{Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse}},
  editor       = {{Hochmuth, Reinhard and Biehler, Rolf and Liebendörfer, Michael and Schaper, Niclas}},
  isbn         = {{9783662648322}},
  issn         = {{2197-8751}},
  pages        = {{33--65}},
  publisher    = {{Springer}},
  title        = {{{Ein Rahmenmodell für hochschuldidaktische Maßnahmen in der Mathematik}}},
  doi          = {{10.1007/978-3-662-64833-9_2}},
  year         = {{2022}},
}

@inbook{42655,
  author       = {{Schürmann, Mirko and Liebendörfer, Michael and Büdenbender-Kuklinski, Christiane and Lankeit, Elisa and Ruge, Johanna and Schaper, Niclas and Biehler, Rolf and Hochmuth, Reinhard}},
  booktitle    = {{Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen - Konzepte, Praxisbeispiele und Untersuchungsergebnisse}},
  editor       = {{Hochmuth, Reinhard and Biehler, Rolf and Liebendörfer, Michael and Schaper, Niclas}},
  isbn         = {{9783662648322}},
  issn         = {{2197-8751}},
  pages        = {{67--113}},
  publisher    = {{Springer}},
  title        = {{{Evaluation von Unterstützungsmaßnahmen in mathematikbezogenen Studiengängen}}},
  doi          = {{10.1007/978-3-662-64833-9_3}},
  year         = {{2022}},
}

@inproceedings{35674,
  abstract     = {{<jats:p>We report on our work with students in our data science courses, focusing on the analysis of students’ results. This study represents an in-depth analysis of students’ creation and documentation of machine learning models. The students were supported by educationally designed Jupyter Notebooks, which are used as worked examples. Using the worked example, students document their results in a so-called computational essay. We examine which aspects of creating computational essays are difficult for students to find out how worked examples should be designed to support students without being too prescriptive. We analyze the computational essays produced by students and draw consequences for redesigning our worked example.</jats:p>}},
  author       = {{Fleischer, Franz Yannik and Hüsing, Sven and Biehler, Rolf and Podworny, Susanne and Schulte, Carsten}},
  booktitle    = {{Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics}},
  editor       = {{Peters, S. A. and Zapata-Cardona, L. and Bonafini, F. and Fan, A.}},
  publisher    = {{International Association for Statistical Education}},
  title        = {{{Jupyter Notebooks for Teaching, Learning, and Doing Data Science}}},
  doi          = {{10.52041/iase.icots11.t10e3}},
  year         = {{2022}},
}

@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}},
}

