@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}},
}

@article{36294,
  author       = {{Brennecken, Dominik and Rösler, Margit}},
  journal      = {{Transactions of the American Mathematical Society}},
  number       = {{4}},
  pages        = {{2419--2447}},
  publisher    = {{ American Mathematical Society}},
  title        = {{{The Dunkl-Laplace transform and Macdonald’s hypergeometric series}}},
  doi          = {{10.1090/tran/8860}},
  volume       = {{376}},
  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{53533,
  author       = {{Ernst, Alena and Schmidt, Kai-Uwe}},
  issn         = {{0305-0041}},
  journal      = {{Mathematical Proceedings of the Cambridge Philosophical Society}},
  keywords     = {{General Mathematics}},
  number       = {{1}},
  pages        = {{129--160}},
  publisher    = {{Cambridge University Press (CUP)}},
  title        = {{{Intersection theorems for finite general linear groups}}},
  doi          = {{10.1017/s0305004123000075}},
  volume       = {{175}},
  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}},
}

@article{55277,
  author       = {{Klahn, B. and Technau, Marc}},
  journal      = {{Int. J. Number Theory}},
  number       = {{10}},
  pages        = {{2443–2450}},
  title        = {{{Galois groups of (ⁿ₀)+(ⁿ₁)X+…+(ⁿ₆)X⁶}}},
  doi          = {{10.1142/S1793042123501208}},
  volume       = {{19}},
  year         = {{2023}},
}

@article{55279,
  author       = {{Minelli, P. and Sourmelidis, A. and Technau, Marc}},
  journal      = {{Math. Ann.}},
  pages        = {{291–320}},
  title        = {{{Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums}}},
  doi          = {{10.1007/s00208-022-02452-2}},
  volume       = {{387}},
  year         = {{2023}},
}

@article{34803,
  author       = {{Celledoni, Elena and Glöckner, Helge and Riseth, Jørgen and Schmeding, Alexander}},
  journal      = {{BIT Numerical Mathematics}},
  publisher    = {{Springer}},
  title        = {{{Deep neural networks on diffeomorphism groups for optimal shape reparametrization}}},
  doi          = {{10.1007/s10543-023-00989-05}},
  volume       = {{63}},
  year         = {{2023}},
}

@article{34805,
  abstract     = {{Let $E$ be a finite-dimensional real vector space and $M\subseteq E$ be a
convex polytope with non-empty interior. We turn the group of all
$C^\infty$-diffeomorphisms of $M$ into a regular Lie group.}},
  author       = {{Glöckner, Helge}},
  journal      = {{Journal of Convex Analysis}},
  number       = {{1}},
  pages        = {{343--358}},
  publisher    = {{Heldermann}},
  title        = {{{Diffeomorphism groups of convex polytopes}}},
  volume       = {{30}},
  year         = {{2023}},
}

@article{34801,
  author       = {{Glöckner, Helge and Tárrega, Luis}},
  journal      = {{Journal of Lie Theory}},
  number       = {{1}},
  pages        = {{271--296}},
  publisher    = {{Heldermann}},
  title        = {{{Mapping groups associated with real-valued function spaces and direct limits of Sobolev-Lie groups }}},
  volume       = {{33}},
  year         = {{2023}},
}

@unpublished{55575,
  author       = {{Jakob, Johanna}},
  title        = {{{Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen}}},
  year         = {{2023}},
}

@inproceedings{42163,
  abstract     = {{The article shows how to learn models of dynamical systems from data which are governed by an unknown variational PDE. Rather than employing reduction techniques, we learn a discrete field theory governed by a discrete Lagrangian density $L_d$ that is modelled as a neural network. Careful regularisation of the loss function for training $L_d$ is necessary to obtain a field theory that is suitable for numerical computations: we derive a regularisation term which optimises the solvability of the discrete Euler--Lagrange equations. Secondly, we develop a method to find solutions to machine learned discrete field theories which constitute travelling waves of the underlying continuous PDE.}},
  author       = {{Offen, Christian and Ober-Blöbaum, Sina}},
  booktitle    = {{Geometric Science of Information}},
  editor       = {{Nielsen, F and Barbaresco, F}},
  keywords     = {{System identification, discrete Lagrangians, travelling waves}},
  location     = {{Saint-Malo, Palais du Grand Large, France}},
  pages        = {{569--579}},
  publisher    = {{Springer, Cham.}},
  title        = {{{Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves}}},
  doi          = {{10.1007/978-3-031-38271-0_57}},
  volume       = {{14071}},
  year         = {{2023}},
}

@book{37469,
  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}},
}