@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{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}},
}

@article{40512,
  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}},
}

@inbook{56204,
  author       = {{Frischemeier, Daniel and Podworny, Susanne and Biehler, Rolf}},
  booktitle    = {{Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik}},
  isbn         = {{9783662628539}},
  issn         = {{2197-8751}},
  publisher    = {{Springer Berlin Heidelberg}},
  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}},
}

@inproceedings{31361,
  abstract     = {{At Paderborn University, a new 6th semester geometry-course for upper secondary student teachers has been designed and taught by the first author of this paper. To show links between academic mathematics and school mathematics we established so-called interface weeks. These are weeks during a course in which lecture, exercises and homework focus on topics that are related to the normal canon of content but specially chosen for their relevance in school contexts. In this article, we want to present our design for an interface week on the topic of congruence. In order to do so, we first illustrate how so-called interface aspects are used to systematize the mathematical background of the topic, thus giving future mathematics teachers the chance to act professionally. We then show examples of learning activities and first results of the accompanying research.}},
  author       = {{Hoffmann, Max and Biehler, Rolf}},
  booktitle    = {{ INDRUM 2020, Université de Carthage, Université de Montpellier, Sep 2020, Cyberspace (virtually from Bizerte), Tunisia}},
  title        = {{{Designing a Geometry Capstone Course for Student Teachers: Bridging the gap between academic mathematics and school mathematics in the case of congruence}}},
  year         = {{2020}},
}

@article{35701,
  author       = {{Lünne, Steffen and Schnell, Susanne and Biehler, Rolf}},
  issn         = {{0261-9768}},
  journal      = {{European Journal of Teacher Education}},
  keywords     = {{Education}},
  number       = {{5}},
  pages        = {{688--705}},
  publisher    = {{Informa UK Limited}},
  title        = {{{Motivation of out-of-field teachers for participating in professional development courses in mathematics}}},
  doi          = {{10.1080/02619768.2020.1793950}},
  volume       = {{44}},
  year         = {{2020}},
}

@inbook{35808,
  author       = {{Barzel, Bärbel and Biehler, Rolf}},
  booktitle    = {{Professional development and knowledge of mathematics teachers}},
  editor       = {{Zehetmeier, Stefan and Potari, Despina and Ribeiro, Miguel}},
  pages        = {{163–192}},
  publisher    = {{Routledge}},
  title        = {{{Theory-Based Design of Professional Development for Upper Secondary Teachers–Focusing on the Content-Specific Use of Digital Tools}}},
  year         = {{2020}},
}

@article{35822,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>The derivative concept plays a major role in economics. However, its use in economics is very heterogeneous, sometimes inconsistent, and contradicts students’ prior knowledge from school. This applies in particular to the common economic interpretation of the derivative as the amount of change while increasing the production by one unit. Hence, in calculus courses for economics students, learners should acquire an understanding of the derivative that is mathematically acceptable and connected to their prior knowledge, but which also takes into account its practical use in economics. In this paper we first develop a theoretical model describing such an understanding of the derivative for economics students. We then present an exploratory study investigating the extent to which economics students have such an understanding after their calculus course. The results indicate that many of them might not have acquired this kind of understanding, in particular concerning the common economic interpretation of the derivative. The study furthermore yields possible gaps in students’ understanding and possible misconceptions.</jats:p>}},
  author       = {{Feudel, Frank and Biehler, Rolf}},
  issn         = {{0173-5322}},
  journal      = {{Journal für Mathematik-Didaktik}},
  keywords     = {{Education, General Mathematics}},
  number       = {{1}},
  pages        = {{273--305}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics}}},
  doi          = {{10.1007/s13138-020-00174-z}},
  volume       = {{42}},
  year         = {{2020}},
}

@article{35709,
  author       = {{Kempen, Leander and Biehler, Rolf}},
  issn         = {{1664-1078}},
  journal      = {{Frontiers in Psychology}},
  keywords     = {{General Psychology}},
  pages        = {{1180}},
  publisher    = {{Frontiers Media SA}},
  title        = {{{Using Figurate Numbers in Elementary Number Theory – Discussing a ‘Useful’ Heuristic From the Perspectives of Semiotics and Cognitive Psychology}}},
  doi          = {{10.3389/fpsyg.2020.01180}},
  volume       = {{11}},
  year         = {{2020}},
}

@inbook{35827,
  author       = {{Kempen, Leander and Krämer, Sandra and Biehler, Rolf}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2020}},
  editor       = {{Siller, H.-S. and Weigel, W. and Wörler, J. F.}},
  pages        = {{489--492}},
  publisher    = {{WTM-Verlag}},
  title        = {{{Was verstehen Schülerinnen und Schüler unter „Beweis“? – ausgewählte Ergebnisse einer Pilotstudie}}},
  doi          = {{10.17877/DE290R-21418}},
  year         = {{2020}},
}

@inbook{35819,
  author       = {{Biehler, Rolf and Kempen, Leander and Paravicini, Walther}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2020}},
  editor       = {{Siller, H.-S. and Weigel, W. and Wörler, J. F.}},
  pages        = {{1347--1348}},
  publisher    = {{WTM-Verlag}},
  title        = {{{Hochschuldidaktik Mathematik: Fachbezogenes Design und empirische Studien}}},
  doi          = {{10.17877/DE290R-21487}},
  year         = {{2020}},
}

@article{35826,
  author       = {{Griese, Birgit and Nieszporek, Ralf and Biehler, Rolf}},
  journal      = {{Stochastik in der Schule}},
  number       = {{1}},
  pages        = {{10--17}},
  title        = {{{Frei verfügbare Materialien für Unterricht und Fortbildung: Stochastik verständnisorientiert unterrichten}}},
  volume       = {{40}},
  year         = {{2020}},
}

@inbook{35914,
  author       = {{Lünne, Steffen and Schnell, Susanne and Biehler, Rolf}},
  booktitle    = {{Professionelles Handeln im fachfremd erteilten Mathematikunterricht}},
  editor       = {{Porsch, R. and Rösken-Winter, B.}},
  isbn         = {{9783658272920}},
  pages        = {{141--167}},
  publisher    = {{Springer Spektrum}},
  title        = {{{Ffunt@OWL – Konzept und Gestaltungsprinzipien zur Qualifizierung fachfremd Mathematik unterrichtender Lehrkräfte der Sekundarstufe I}}},
  doi          = {{10.1007/978-3-658-27293-7_6}},
  year         = {{2020}},
}

@inbook{35911,
  author       = {{Lankeit, Elisa and Bauer, T. and Biehler, Rolf}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2020}},
  editor       = {{Siller, H.-S. and Weigel, W. and Wörler, J. F.}},
  pages        = {{1361--1364}},
  publisher    = {{WTM-Verlag}},
  title        = {{{Votingfragen in den Übungen zur Analysis – Wirkung verschiedener Einsatzszenarien}}},
  doi          = {{10.17877/DE290R-21396}},
  year         = {{2020}},
}

@article{35712,
  abstract     = {{<jats:title>Abstract</jats:title>
               <jats:p>Mathematics learning support centres (MLSC) are widely established and evaluated in English-speaking countries (such as the UK, Ireland and Australia). In most of these countries, several national surveys on MLSCs exist. They give an overview of the number of MLSCs as well as their characteristics in these countries. In Germany, there is a lack of studies on MLSCs and the landscape of MLSCs has not been described yet. This article presents basic information concerning counts of MLSCs and their characteristics at universities. Based on a three-step approach of analysing university homepages and additional personal contact via email or phone calls, we gathered typical MLSC features (e.g. staff quantities and qualification, opening and support hours, supported study programmes). We analysed 190 universities from a web-based register on study programmes. In total, we found 61 MLSCs located at 51 German universities. Another 16 support centres were specialized on mathematics didactics, which means they focussed on didactical and methodological support for preservice teacher students and often provided different teaching materials. Thirty-eight centres were located at universities (62.3%) and 23 MLSCs at universities of applied sciences and comparable universities (37.7%). The MLSCs were different in their sizes of staff and opening hours, and both the numbers of staff and the service hours differed greatly. The student groups MLSCs at German universities focus on differ concerning characteristics like study programme or semester. We will provide the main categories describing these groups. We seek to answer research questions concerning the characteristics of MLSCs in Germany and discuss the results compared to international findings. This information is useful for further international collaborative research, for example a standardized international survey. From a national perspective, these findings support networking and collaborations between the MLSCs as well. As some German MLSCs are facing financial cuts, these results might help in gaining additional funding.</jats:p>}},
  author       = {{Schürmann, Mirko and Gildehaus, Lara and Liebendörfer, Michael and Schaper, Niclas and Biehler, Rolf and Hochmuth, Reinhard and Kuklinski, Christiane and Lankeit, Elisa}},
  issn         = {{0268-3679}},
  journal      = {{Teaching Mathematics and its Applications: An International Journal of the IMA}},
  keywords     = {{Education, General Mathematics}},
  number       = {{2}},
  pages        = {{99--113}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Mathematics learning support centres in Germany—an overview}}},
  doi          = {{10.1093/teamat/hraa007}},
  volume       = {{40}},
  year         = {{2020}},
}

@inbook{35820,
  author       = {{Biehler, Rolf and Liebendörfer, Michael and Schmitz, Angela and Fleischmann, Yael and Krämer, Sandra and Ostsieker, Laura and Schlüter, Sarah}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2020}},
  editor       = {{Siller, H.-S. and Weigel, W. and Wörler, J. F.}},
  publisher    = {{WTM}},
  title        = {{{studiVEMINTvideos – Mathematische Lernvideos zur Studienvorbereitung und Unterstützung im ersten Studienjahr}}},
  doi          = {{10.17877/DE290R-21234}},
  year         = {{2020}},
}