@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}},
}

@article{35763,
  author       = {{Hüsing, Sven and Weiser, Niklas and Biehler, Rolf}},
  journal      = {{mathematik lehren}},
  number       = {{228}},
  pages        = {{23–27}},
  publisher    = {{Friedrich Verlag}},
  title        = {{{Faszination 3D-Film: Entwicklung einer 3D-Konstruktion}}},
  volume       = {{2021}},
  year         = {{2021}},
}

@article{35702,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>Mathematics Learning Support Centres are becoming more and more common in higher education both internationally and in Germany. Whereas it is clear that their quality largely depends on a functioning interaction in consultations, little is known about how such consultations proceed in detail. On the basis of models from the literature and recorded support sessions (N = 36), we constructed a process model that divides consultations into four ideal–typical phases. In the individual consultations, forward or backward leaps occur, but overall the model seems to describe the data well. A high intercoder reliability shows that it can be applied consistently on real data by different researchers. An analysis of the consultations between students and tutors shows that both mainly work on past attempts or thoughts of the students to solve the exercise or problems and on concrete strategies to solve a problem within the session. In contrast, very little time is dedicated to summarizing and reflecting the solution. The data allows for a more in-depth discussion of what constitutes quality in advising processes and how it might be further explored. Practically, the model may structure support sessions and help in focussing on different goals in different phases.</jats:p>}},
  author       = {{Schürmann, Mirko and Panse, Anja and Shaikh, Zain and Biehler, Rolf and Schaper, Niclas and Liebendörfer, Michael and Hilgert, Joachim}},
  issn         = {{2198-9745}},
  journal      = {{International Journal of Research in Undergraduate Mathematics Education}},
  keywords     = {{Education, Mathematics (miscellaneous)}},
  number       = {{1}},
  pages        = {{94--120}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Consultation Phases in Mathematics Learning and Support Centres}}},
  doi          = {{10.1007/s40753-021-00154-9}},
  volume       = {{8}},
  year         = {{2021}},
}

@article{35781,
  author       = {{Podworny, Susanne and Biehler, Rolf}},
  issn         = {{1098-6065}},
  journal      = {{Mathematical Thinking and Learning}},
  keywords     = {{Developmental and Educational Psychology, Education, General Mathematics}},
  number       = {{4}},
  pages        = {{291--311}},
  publisher    = {{Informa UK Limited}},
  title        = {{{The process of actively building a model for a randomization test – insights into learners’ modeling activities based on a case study}}},
  doi          = {{10.1080/10986065.2021.1922837}},
  volume       = {{24}},
  year         = {{2021}},
}

@article{35751,
  author       = {{Frischemeier, Daniel and Biehler, Rolf and Podworny, Susanne and Budde, Lea}},
  issn         = {{0141-982X}},
  journal      = {{Teaching Statistics}},
  keywords     = {{Education, Statistics and Probability}},
  number       = {{S1}},
  pages        = {{S182--S189}},
  publisher    = {{Wiley}},
  title        = {{{A first introduction to data science education in secondary schools: Teaching and learning about data exploration with<scp>CODAP</scp>using survey data}}},
  doi          = {{10.1111/test.12283}},
  volume       = {{43}},
  year         = {{2021}},
}

@article{24786,
  author       = {{Schürmann, Mirko and Liebendörfer, Michael and Gildehaus, Lara and Schaper, Niclas and Hochmuth, Reinhard and Biehler, Rolf and Lankeit, Elisa and Kuklinski, Christiane and Ruge, Johanna}},
  journal      = {{Sigma newsletter}},
  pages        = {{5--6}},
  title        = {{{Opportunities and Possibilities of a Network of Mathematical Learning and Support Centres in Germany}}},
  volume       = {{22}},
  year         = {{2021}},
}

@article{45335,
  author       = {{Schönherr, Johanna and Schukajlow, S. and Blomberg, J.}},
  journal      = {{mathematik lehren}},
  pages        = {{22–27}},
  title        = {{{Was ist eine gute Skizze? Strategiewissen beim mathematischen Modellieren im Bereich der Geometrie fördern}}},
  volume       = {{224}},
  year         = {{2021}},
}

@article{45333,
  author       = {{Schönherr, Johanna and Schukajlow, S. and Blomberg, J. and Leopold, C.}},
  journal      = {{Mathematical Thinking and Learning}},
  title        = {{{Does strategic knowledge matter? Effects of strategic knowledge about drawing on students’ modeling competencies in the domain of geometry}}},
  doi          = {{10.1080/10986065.2021.2012741}},
  year         = {{2021}},
}

@article{45342,
  author       = {{Schönherr, Johanna and Blomberg, J. and Schukajlow, S. and Leopold, C.}},
  journal      = {{Contemporary Educational Psychology}},
  title        = {{{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}}},
  doi          = {{10.1016/j.cedpsych.2021.101967}},
  volume       = {{65}},
  year         = {{2021}},
}

@article{55290,
  author       = {{Baier, St. and Mazumder, D. and Technau, Marc}},
  journal      = {{Unif. Distrib. Theory}},
  number       = {{2}},
  pages        = {{1–48}},
  title        = {{{On the distribution of αp modulo one in quadratic number fields}}},
  doi          = {{10.2478/udt-2021-0006}},
  volume       = {{16}},
  year         = {{2021}},
}

@article{55289,
  author       = {{Technau, Marc and Zafeiropoulos, A.}},
  journal      = {{Acta Arith.}},
  number       = {{1}},
  pages        = {{93–104}},
  title        = {{{Metric results on summatory arithmetic functions on Beatty sets}}},
  doi          = {{10.4064/aa200128-10-6}},
  volume       = {{197}},
  year         = {{2021}},
}

@book{51493,
  author       = {{Hilgert, Joachim and Hilgert, Ingrid}},
  publisher    = {{Springer Spektrum}},
  title        = {{{Mathematik - Ein Reiseführer 2. Auflage}}},
  year         = {{2021}},
}

@article{35737,
  author       = {{Biehler, Rolf and Fleischer, Franz Yannik}},
  issn         = {{0141-982X}},
  journal      = {{Teaching Statistics}},
  keywords     = {{Education, Statistics and Probability}},
  pages        = {{S133--S142}},
  publisher    = {{Wiley}},
  title        = {{{Introducing students to machine learning with decision trees using CODAP and Jupyter Notebooks}}},
  doi          = {{10.1111/test.12279}},
  volume       = {{43}},
  year         = {{2021}},
}

@inbook{37485,
  author       = {{Rach, Stefanie and Liebendörfer, Michael}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2021 vom GDM-Monat 2021 der Gesellschaft für Didaktik der Mathematik (GDM) (1.-25. März 2021)}},
  editor       = {{Hein, Kerstin and Heil, Cathleen and Ruwisch, Silke and Prediger, Susanne}},
  isbn         = {{978-3-95987-184-6}},
  pages        = {{247–248}},
  publisher    = {{WTM-Verlag für wissenschaftliche Texte und Medien}},
  title        = {{{Die Bedeutung affektiver Merkmale beim Mathematiklernen}}},
  year         = {{2021}},
}

@article{37474,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>Due to the COVID-19 crisis, many courses have been offered digitally. Using data from n = 1,173 business students participating in a preparatory mathematics course at a German university that covered the same content as in 2018, 2019 and 2020, we examine how students’ participation and the effect of the preparatory course changed. The data show that the participation rate has fallen slightly, but students’ participation is rather similar to preceding years. Interestingly, students have participated more intensively. There are clear signs of dishonesty in the self-test (use of a calculator) and significant changes in predictors of performance. In particular, the effect of students’ engagement in the course on their performance substantially increased. Further, we found a gender gap in performance affecting women. Finally, the data show that digital courses can be as effective as on-campus courses.</jats:p>}},
  author       = {{Büchele, Stefan and Liebendörfer, Michael and Lankeit, Elisa}},
  issn         = {{0268-3679}},
  journal      = {{Teaching Mathematics and its Applications: An International Journal of the IMA}},
  keywords     = {{Education, General Mathematics}},
  number       = {{4}},
  pages        = {{478--496}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Increasing the effect of a remedial mathematics course by switching to an online format during the COVID-19 crisis: evidence from a German university}}},
  doi          = {{10.1093/teamat/hrab013}},
  volume       = {{40}},
  year         = {{2021}},
}

@article{37483,
  abstract     = {{Das gymnasiale Lehramtsstudium der Mathematik ist an deutschen Universitäten unterschiedlich organisiert. Traditionell wurden am Studienbeginn die Fachvorlesungen zur Analysis und Linearen Algebra gemeinsam mit Fachstudierenden gehört. In jüngerer Zeit verbreiten sich alternative Modelle z. B. mit Brückenvorlesungen, die oft spezifisch für das Gymnasiallehramt angeboten werden. Sie können gemeinsame Veranstaltungen mit Fachstudierenden ergänzen oder ersetzen. Dieser Beitrag zeigt auf, welche Modelle wie häufig verbreitet sind, und spricht an, welche hochschuldidaktischen Fragen an der Studiengestaltung hängen.}},
  author       = {{Gildehaus, Lara and Göller, Robin and Liebendörfer, Michael}},
  issn         = {{2512-9155}},
  journal      = {{Mitteilungen der Gesellschaft für Didaktik der Mathematik}},
  number       = {{111}},
  pages        = {{27–32}},
  title        = {{{Gymnasiales Lehramt Mathematik studieren – eine Übersicht zur Studienorganisation in Deutschland}}},
  volume       = {{47}},
  year         = {{2021}},
}