@inbook{35697,
  author       = {{Ostsieker, Laura and Biehler, Rolf}},
  booktitle    = {{Practice-Oriented Research in Tertiary Mathematics Education}},
  isbn         = {{9783031141744}},
  issn         = {{1869-4918}},
  pages        = {{181--201}},
  publisher    = {{Springer International Publishing}},
  title        = {{{Supporting Students in Developing Adequate Concept Images and Definitions at University: The Case of the Convergence of Sequences}}},
  doi          = {{10.1007/978-3-031-14175-1_9}},
  year         = {{2023}},
}

@inbook{35678,
  author       = {{Kortemeyer, Jörg and Biehler, Rolf}},
  booktitle    = {{Practice-Oriented Research in Tertiary Mathematics Education}},
  isbn         = {{9783031141744}},
  issn         = {{1869-4918}},
  pages        = {{669--692}},
  publisher    = {{Springer International Publishing}},
  title        = {{{Analyzing the Interface Between Mathematics and Engineering in Basic Engineering Courses}}},
  doi          = {{10.1007/978-3-031-14175-1_32}},
  year         = {{2023}},
}

@inbook{48480,
  author       = {{Kortmeyer, Jörg and Biehler, Rolf}},
  booktitle    = {{The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference}},
  editor       = {{Dreyfus, T. and Gonzalez-Martin, A. S. and Nardi, E. and Monaghan, J. and Thompson, P. W.}},
  pages        = {{121--124}},
  publisher    = {{MatRIC}},
  title        = {{{The use of integrals for accumulation and mean values in basic electrical engineering courses}}},
  year         = {{2023}},
}

@inbook{47416,
  author       = {{Biehler, Rolf and Engel, Joachim and Frischemeier, Daniel}},
  booktitle    = {{Handbuch der Mathematikdidaktik}},
  editor       = {{Bruder, Regina and Büchter, A. and Gasteiger, H. and Schmidt-Thieme, B. and Weigand, HG.}},
  isbn         = {{9783662666036}},
  publisher    = {{Springer}},
  title        = {{{Stochastik: Leitidee Daten und Zufall}}},
  doi          = {{10.1007/978-3-662-66604-3_8}},
  year         = {{2023}},
}

@inbook{48042,
  author       = {{Biehler, Rolf and Frischemeier, Daniel and Gould, Ronald and Pfannkuch, Maxine}},
  booktitle    = {{Handbook of Digital Resources in Mathematics Education}},
  editor       = {{Pepin, Birgit and Gueudet, Ghislaine and Choppin, Jeffrey}},
  publisher    = {{Springer International Publishing}},
  title        = {{{Impacts of Digitalization on Content and Goals of Statistics Education}}},
  year         = {{2023}},
}

@article{49049,
  author       = {{Biehler, Rolf and Krüger, Katja}},
  journal      = {{GDM-Mitteilungen}},
  number       = {{115}},
  pages        = {{57--65}},
  title        = {{{Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel}}},
  year         = {{2023}},
}

@inbook{35669,
  author       = {{Biehler, Rolf and Liebendörfer, Michael and Gueudet, Ghislaine and Rasmussen, Chris and Winsløw, Carl}},
  booktitle    = {{Practice-Oriented Research in Tertiary Mathematics Education}},
  isbn         = {{9783031141744}},
  issn         = {{1869-4918}},
  publisher    = {{Springer International Publishing}},
  title        = {{{Practice-Oriented Research in Tertiary Mathematics Education – An Introduction}}},
  doi          = {{10.1007/978-3-031-14175-1_1}},
  year         = {{2023}},
}

@inbook{35681,
  author       = {{Liebendörfer, Michael and Büdenbender-Kuklinski, Christiane and Lankeit, Elisa and Schürmann, Mirko and Biehler, Rolf and Schaper, Niclas}},
  booktitle    = {{Practice-Oriented Research in Tertiary Mathematics Education}},
  isbn         = {{9783031141744}},
  issn         = {{1869-4918}},
  pages        = {{91--117}},
  publisher    = {{Springer International Publishing}},
  title        = {{{Framing Goals of Mathematics Support Measures}}},
  doi          = {{10.1007/978-3-031-14175-1_5}},
  year         = {{2023}},
}

@book{46157,
  editor       = {{Biehler, Rolf and Liebendörfer, Michael and Gueudet, Ghislaine and Rasmussen, Chris and Winsløw, Carl}},
  isbn         = {{9783031141744}},
  issn         = {{1869-4918}},
  publisher    = {{Springer International Publishing}},
  title        = {{{Practice-Oriented Research in Tertiary Mathematics Education}}},
  doi          = {{10.1007/978-3-031-14175-1}},
  year         = {{2023}},
}

@article{43504,
  author       = {{Biehler, Rolf and Liebendörfer, Michael and Schmitz, A.}},
  journal      = {{Mitteilungen der Gesellschaft für Didaktik der Mathematik}},
  pages        = {{8--12}},
  title        = {{{Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos}}},
  volume       = {{114}},
  year         = {{2023}},
}

@inproceedings{53053,
  author       = {{Kolbe, Tim}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}},
  editor       = {{IDMI Primar Goethe-Univeristät Frankfurt, .}},
  location     = {{Frankfurt am Main}},
  publisher    = {{WTM}},
  title        = {{{Think-aloud beim hochschulischen Mathematiklernen – Ergebnisse einer Pilotierung}}},
  doi          = {{https://doi.org/10.37626/GA9783959872089.0}},
  year         = {{2023}},
}

@article{46569,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>External visualization (i.e., physically embodied visualization) is central to the teaching and learning of mathematics. As external visualization is an important part of mathematics at all levels of education, it is diverse, and research on external visualization has become a wide and complex field. The aim of this scoping review is to characterize external visualizations in recent mathematics education research in order to develop a common ground and guide future research. A qualitative content analysis of the full texts of 130 studies published between 2018 and 2022 applied a deductive-inductive coding procedure to assess four dimensions: visualization product or process, type of visualization, media, and purpose. The analysis revealed different types of external visualizations including visualizations with physical resemblance ranging from pictorial to abstract visualizations as well as three types of visualizations with structural resemblance: length, area, and relational visualizations. Future research should include measures of visualization products or processes to help explain the demands and affordances that different types of visualizations present to learners and teachers.</jats:p>}},
  author       = {{Schoenherr, Johanna and Schukajlow, Stanislaw}},
  issn         = {{1863-9690}},
  journal      = {{ZDM – Mathematics Education}},
  keywords     = {{General Mathematics, Education}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Characterizing external visualization in mathematics education research: a scoping review}}},
  doi          = {{10.1007/s11858-023-01494-3}},
  year         = {{2023}},
}

@article{48596,
  author       = {{Häsel-Weide, Uta and Schmidt, R. and Büker, Petra}},
  journal      = {{Zeitschrift für Schul- und Professionsentwicklung (PFLB)}},
  number       = {{1}},
  pages        = {{215--229}},
  title        = {{{„FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung}}},
  volume       = {{5}},
  year         = {{2023}},
}

@inbook{43227,
  author       = {{Vitt, Vivian and Häsel-Weide, Uta}},
  booktitle    = {{Mathematica Didactica, 46}},
  title        = {{{Reziprokes Peer-Tutoring zur Förderung von Schüler*innen mit Schwierigkeiten beim Mathematiklernen.}}},
  doi          = {{https://doi.org/10.18716/ojs/md/2023.1671}},
  year         = {{2023}},
}

@article{45712,
  author       = {{Häsel-Weide, Uta}},
  journal      = {{Die Grundschulzeitschrift}},
  number       = {{339}},
  pages        = {{6--11}},
  publisher    = {{Friedrich Verlag}},
  title        = {{{ Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt von Kompetenzen, Wegen und Lernsituationen}}},
  year         = {{2023}},
}

@article{45713,
  author       = {{Graf, Lara Marie and Wienhues, Inga and Häsel-Weide, Uta}},
  journal      = {{Die Grundschulzeitschrift}},
  number       = {{339}},
  pages        = {{20--23}},
  publisher    = {{Friedrich Verlag}},
  title        = {{{Addition und Subtraktion verstehen}}},
  year         = {{2023}},
}

@inproceedings{46757,
  author       = {{Schwerin, Imke and Häsel-Weide, Uta}},
  booktitle    = {{International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education}},
  editor       = {{Novotna, J. and Moraova, H.}},
  location     = {{Prag}},
  pages        = {{297--305}},
  publisher    = {{Charles University}},
  title        = {{{Second grader´s understanding of doubling and halfing in various representations}}},
  year         = {{2023}},
}

@inbook{46758,
  author       = {{Schmidt, Rebekka and Tenberge, Claudia and Häsel-Weide, Uta}},
  booktitle    = {{Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre}},
  editor       = {{Vöing, N. and Schmidt, R. and Neiske, I.}},
  pages        = {{297--318}},
  publisher    = {{Visual Ink Publishing}},
  title        = {{{Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern}}},
  year         = {{2023}},
}

@article{56200,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>Intending to counteract Klein’s second discontinuity in teacher education, we explored and applied the innovation of “<jats:italic>interface ePortfolio</jats:italic>” in the context of a geometry course for preservice teachers (PSTs). The tool offers the possibility of implementing the design principle of <jats:italic>profession orientation</jats:italic>. In the article, we theoretically clarify what we understand by this principle and locate our innovative concept against this theoretical background. We empirically investigate the extent to which counteraction against the second discontinuity is successful by analyzing reflection texts created in the interface ePortfolio, focusing on PSTs’ perspectives. Our qualitative content analysis shows that most of them perceive the innovation as helpful in the intended sense and indicates that the course concept, in general, and the interface ePortfolio, in particular, have helped establish relevant links between the course content and their later work as teachers.</jats:p>}},
  author       = {{Hoffmann, Max and Biehler, Rolf}},
  issn         = {{1863-9690}},
  journal      = {{ZDM – Mathematics Education}},
  number       = {{4}},
  pages        = {{737--751}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course}}},
  doi          = {{10.1007/s11858-023-01505-3}},
  volume       = {{55}},
  year         = {{2023}},
}

@article{40607,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>Teachers’ in-depth diagnostic thinking has been shown to be crucial for student-centered teaching as they need to perceive and interpret students’ understanding for well-informed decision-making on adaptive teaching practices. The paper presents a content-related approach to analyzing diagnostic thinking processes with respect to the mathematical knowledge elements that prospective teachers identify as students’ resources and obstacles. Prospective teachers’ challenge is that some relevant knowledge elements first have to be unpacked, because compact concepts (such as the place value concept) or procedures (such as for multi-digit multiplication) comprise several smaller knowledge elements (such as the positional property) that have to be made explicit for students to foster their learning processes adequately. Our study examines what knowledge elements prospective teachers perceive and interpret in a transcript vignettes on multi-digit multiplication (of decimal and natural numbers) and its underlying basic arithmetic concepts (place value understanding and meaning of multiplication) in written diagnostic judgments on students’ resources and obstacles (<jats:italic>N</jats:italic> = 196). A comparative design within the vignette is used to investigate how far the process of perceiving can be supported by thematic cues. The analysis reveals that those knowledge elements cued in the vignette by being already unpacked and explicitly addressed are perceived and interpreted more often (but with lower correctness) than those that are uncued and therefore have to be unpacked by the prospective teachers themselves. This confirms the need to prepare prospective teachers for unpacking mathematical concepts themselves.</jats:p>}},
  author       = {{Dröse, Jennifer and Prediger, Susanne}},
  issn         = {{0173-5322}},
  journal      = {{Journal für Mathematik-Didaktik}},
  keywords     = {{Education, General Mathematics}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Prospective Teachers’ Diagnostic Thinking on Students’ Understanding of Multi-Digit Multiplication: A Content-Related Analysis on Unpacking of Knowledge Elements}}},
  doi          = {{10.1007/s13138-022-00214-w}},
  year         = {{2023}},
}