@techreport{29316,
  abstract     = {{Employing a unique and hand-collected dataset of securitization transactions by European banks, this paper analyzes the relationship between true sale loan securitization and the issuing banks’ non-performing loans to total assets ratios (NPLRs). We provide evidence for an NPLR-reducing effect during the boom phase of securitizations suggesting that banks (partly) securitized NPLs as the most risky junior tranche. In contrast, we find the reverse effect during the crises period indicating that issuing banks demonstrated `skin in the game'. A variety of sensitivity analyses provides further important implications for the vital debate on reducing NPL exposures and regulating securitization markets.}},
  author       = {{Hippert, Benjamin and Uhde, André and Wengerek, Sascha Tobias}},
  keywords     = {{European Banking, Non-performing Loans, Risk Allocation, Securitization}},
  title        = {{{Risk allocation through securitization - Evidence from non-performing loans}}},
  year         = {{2021}},
}

@article{53560,
  author       = {{Kückmann, Marie-Ann and Kundisch, Heike}},
  journal      = {{bwp@ Berufs- und Wirtschaftspädagogik – online }},
  title        = {{{Denken mit dem Stift?! Digitale Visualisierungsprozesse als Zugang zu komplexen wirtschafts- und berufspädagogischen Themenfeldern }}},
  year         = {{2021}},
}

@article{53363,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>In this survey paper we aim to provide an overview of research on mathematics textbooks and, more broadly, curriculum resources as instruments for change related to mathematical content, instructional goals and practices, and student learning of mathematics. In particular, we elaborate on the following themes: (1) The role of curriculum resources as instruments for change from a theoretical perspective; (2) The design of curriculum resources to mediate the implementation of reform ideas and innovative practice; (3) Teachers’ influence on the implementation of change through curriculum resources; (4) Students’ influence on the implementation of change through curriculum resources; and (5) Evidence of curriculum resources yielding changes in student-related factors or variables. We claim that, whilst textbooks and curriculum resources are influential, they alone cannot change teachers’ teaching nor students’ learning practices in times of curricular change. Moreover, more knowledge is needed about features of curriculum resources that support the implementation of change. We contend that curriculum innovations are likely to be successful, if teachers and students are supported to co- and re-design the relevant curriculum trajectories and materials in line with the reform efforts and their own individual needs.</jats:p>}},
  author       = {{Rezat, Sebastian and Fan, Lianghuo and Pepin, Birgit}},
  issn         = {{1863-9690}},
  journal      = {{ZDM – Mathematics Education}},
  keywords     = {{General Mathematics, Education}},
  number       = {{6}},
  pages        = {{1189--1206}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Mathematics textbooks and curriculum resources as instruments for change}}},
  doi          = {{10.1007/s11858-021-01309-3}},
  volume       = {{53}},
  year         = {{2021}},
}

@inbook{34161,
  author       = {{Rezat, Sebastian and Schacht, Florian and Häsel-Weide, Uta}},
  booktitle    = {{Mathematics Education in the Digital Age. Learning, Practice and Theory}},
  editor       = {{Clark-Wilson, A. and Donevska-Todorova, A. and Faggiano, E. and Trgalová , J. and Weigang, H.-G.}},
  pages        = {{168--184}},
  publisher    = {{Routledge}},
  title        = {{{Challenges of making sense of tasks and automated feedback in digital mathematics textbooks}}},
  doi          = {{10.4324/9781003137580}},
  year         = {{2021}},
}

@article{44683,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>One of the most prevalent features of digital mathematics textbooks, compared to traditional ones, is the provision of automated feedback on students’ solutions. Since feedback is regarded as an important factor that influences learning, this is often seen as an affordance of digital mathematics textbooks. While there is a large body of mainly quantitative research on the effectiveness of feedback in general, very little is known about how feedback actually affects students’ individual content specific learning processes and conceptual development. A theoretical framework based on Rabardel’s theory of the instrument and Vergnaud’s theory of conceptual fields is developed to study qualitatively how feedback actually functions in the learning process. This framework was applied in a case study of two elementary school students’ learning processes when working on a probability task from a German 3rd grade digital textbook. The analysis allowed detailed reconstruction of how students made sense of the information provided by the feedback and adjusted their behavior accordingly. This in-depth analysis unveiled that feedback does not necessarily foster conceptual development in the desired way, and a correct solution does not always coincide with conceptual understanding. The results point to some obstacles that students face when working individually on tasks from digital mathematics textbooks with automated feedback, and indicate that feedback needs to be developed in design-based research cycles in order to yield the desired effects.</jats:p>}},
  author       = {{Rezat, Sebastian}},
  issn         = {{1863-9690}},
  journal      = {{ZDM Mathematics Education}},
  keywords     = {{General Mathematics, Education}},
  number       = {{6}},
  pages        = {{1433--1445}},
  publisher    = {{Springer}},
  title        = {{{How automated feedback from a digital mathematics textbook affects primary students’ conceptual development: two case studies}}},
  doi          = {{10.1007/s11858-021-01263-0}},
  volume       = {{53}},
  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}},
}

@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}},
}