@article{37470,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>When the COVID-19 pandemic began, many universities switched to fully online teaching. This unexpected switching to online teaching was challenging for both teachers and students, and restrictions that were put in place because of pandemic made this challenge even greater. However, new ways of teaching might also open new opportunities for students’ learning. The research question driving our study was as follows: how do students regulate their learning and specifically their choice of resources and peer learning in university mathematics classes that are fully taught online as offered during the COVID-19 pandemic? We report on a longitudinal, qualitative study in which students recorded a brief audio diary twice a week over one whole semester (14 weeks). We focused on three students who completed 70 interviews in total and finished the semester with varying degrees of success. The results show how the students structured their studying (e.g., the roles that deadlines or synchronous teaching events played). They illustrate the strengths and limitations of digital materials provided by the lecturer and the use of complementary media. Further, the pandemic uncovered the double-edged role of simple, often anonymous exchanges (e.g., via Discord servers), with few binding forces for either side, and the significance of stable learning partnerships for students’ success. Our research highlights aspects that should be focal points when comparing traditional instruction and online instruction during the pandemic from a self-regulatory perspective. Practical implications refer to how these aspects can be combined sensibly in fully online courses, but also in blended learning contexts.</jats:p>}},
  author       = {{Liebendörfer, Michael and Kempen, Leander and Schukajlow, Stanislaw}},
  issn         = {{1863-9690}},
  journal      = {{ZDM – Mathematics Education}},
  keywords     = {{General Mathematics, Education}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{First-year university students' self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study}}},
  doi          = {{10.1007/s11858-022-01444-5}},
  year         = {{2022}},
}

@article{37472,
  abstract     = {{<jats:title>Abstract</jats:title><jats:p>As earlier research results suggest that many mathematics teaching students criticize a missing relevance in their studies, we explore explanations and interrelationships of their relevance assessments. We aim at finding out how one could support the students in attributing relevance to their study programs. A two-fold model for relevance assessments in mathematics teacher education is proposed, consisting of relevance content and relevance reasons. We investigate students' relevance perceptions of mathematical topics and of topics’ complexities, as well as their rating of individual and societal/ vocational relevance reasons, all in relation to their perception of the relevance of their overall program of study. Contrary to earlier research findings, our results suggest that mathematics teaching students already do attribute relevance to many content areas and that a preparation for the teaching profession is not the only reason for them to assign relevance. There also seem to be many students who would attribute relevance if they could develop as individuals and pursue their interests. We suggest that giving students opportunities to set individual priorities in their studies could hence support their relevance assessments. As low relevance assessments seem to be connected to students’ motivational problems, students might profit from motivational support, as well.</jats:p>}},
  author       = {{Büdenbender-Kuklinski, Christiane and Hochmuth, Reinhard and Liebendörfer, Michael}},
  issn         = {{2198-9745}},
  journal      = {{International Journal of Research in Undergraduate Mathematics Education}},
  keywords     = {{Education, Mathematics (miscellaneous)}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Exploring the Perceived Relevance of University Mathematics Studies by First-Semester Teaching Students}}},
  doi          = {{10.1007/s40753-022-00188-7}},
  year         = {{2022}},
}

@article{30655,
  author       = {{Ju, Xiaozhe and Mahnken, Rolf and Xu, Yangjian and Liang, Lihua}},
  issn         = {{0178-7675}},
  journal      = {{Computational Mechanics}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Computational Theory and Mathematics, Mechanical Engineering, Ocean Engineering, Computational Mechanics}},
  number       = {{3}},
  pages        = {{847--863}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Goal-oriented error estimation and h-adaptive finite elements for hyperelastic micromorphic continua}}},
  doi          = {{10.1007/s00466-021-02117-y}},
  volume       = {{69}},
  year         = {{2022}},
}

@article{34700,
  author       = {{Gharibian, Sevag and Santha, Miklos and Sikora, Jamie and Sundaram, Aarthi and Yirka, Justin}},
  issn         = {{1016-3328}},
  journal      = {{Computational Complexity}},
  keywords     = {{Computational Mathematics, Computational Theory and Mathematics, General Mathematics, Theoretical Computer Science}},
  number       = {{2}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Quantum generalizations of the polynomial hierarchy with applications to QMA(2)}}},
  doi          = {{10.1007/s00037-022-00231-8}},
  volume       = {{31}},
  year         = {{2022}},
}

@article{34839,
  abstract     = {{We describe the relations among the ℓ-torsion conjecture, a conjecture of Malle giving an upper bound for the number of extensions, and the discriminant multiplicity conjecture. We prove that the latter two conjectures are equivalent in some sense. Altogether, the three conjectures are equivalent for the class of solvable groups. We then prove the ℓ-torsion conjecture for ℓ-groups and the other two conjectures for nilpotent groups.}},
  author       = {{Klüners, Jürgen and Wang, Jiuya}},
  issn         = {{0002-9939}},
  journal      = {{Proceedings of the American Mathematical Society}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{7}},
  pages        = {{2793--2805}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group}}},
  doi          = {{10.1090/proc/15882}},
  volume       = {{150}},
  year         = {{2022}},
}

@article{34075,
  author       = {{Penner, Eduard and Caylak, Ismail and Mahnken, Rolf}},
  issn         = {{2325-3444}},
  journal      = {{Mathematics and Mechanics of Complex Systems}},
  keywords     = {{Computational Mathematics, Numerical Analysis, Civil and Structural Engineering}},
  number       = {{1}},
  pages        = {{21--50}},
  publisher    = {{Mathematical Sciences Publishers}},
  title        = {{{A polymorphic uncertainty model for the curing process of transversely fiber-reinforced plastics}}},
  doi          = {{10.2140/memocs.2022.10.21}},
  volume       = {{10}},
  year         = {{2022}},
}

@article{44236,
  author       = {{Wende, Marc and Staggenborg, Christoph and Kenig, Eugeny Y.}},
  issn         = {{0009-2509}},
  journal      = {{Chemical Engineering Science}},
  keywords     = {{Applied Mathematics, Industrial and Manufacturing Engineering, General Chemical Engineering, General Chemistry}},
  publisher    = {{Elsevier BV}},
  title        = {{{Modelling and simulation of zero-gravity distillation units with metal foams}}},
  doi          = {{10.1016/j.ces.2021.117097}},
  volume       = {{247}},
  year         = {{2022}},
}

@article{30591,
  author       = {{Bertling, René and Hack, M. and Ausner, I. and Horschitz, B. and Bernemann, Sören Antonius and Kenig, Eugeny}},
  issn         = {{0009-2509}},
  journal      = {{Chemical Engineering Science}},
  keywords     = {{Applied Mathematics, Industrial and Manufacturing Engineering, General Chemical Engineering, General Chemistry}},
  publisher    = {{Elsevier BV}},
  title        = {{{Modelling film and rivulet flows on microstructured surfaces using CFD methods}}},
  doi          = {{10.1016/j.ces.2021.117414}},
  volume       = {{251}},
  year         = {{2022}},
}

@article{30382,
  author       = {{Bertling, R. and Hack, M. and Ausner, I. and Horschitz, B. and Bernemann, S. and Kenig, E.Y.}},
  issn         = {{0009-2509}},
  journal      = {{Chemical Engineering Science}},
  keywords     = {{Applied Mathematics, Industrial and Manufacturing Engineering, General Chemical Engineering, General Chemistry}},
  publisher    = {{Elsevier BV}},
  title        = {{{Modelling film and rivulet flows on microstructured surfaces using CFD methods}}},
  doi          = {{10.1016/j.ces.2021.117414}},
  volume       = {{251}},
  year         = {{2022}},
}

@article{44468,
  author       = {{Schmidt, Stephan and Gräßer, Melanie and Schmid, Hans-Joachim}},
  issn         = {{1064-8275}},
  journal      = {{SIAM Journal on Scientific Computing}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{4}},
  pages        = {{B1175--B1194}},
  publisher    = {{Society for Industrial & Applied Mathematics (SIAM)}},
  title        = {{{A Shape Newton Scheme for Deforming Shells with Application to Capillary Bridges}}},
  doi          = {{10.1137/20m1389054}},
  volume       = {{44}},
  year         = {{2022}},
}

@article{33741,
  abstract     = {{There are many concepts of signed graph coloring which are defined by assigning colors to the vertices of the graphs. These concepts usually differ in the number of self-inverse colors used. We introduce a unifying concept for this kind of coloring by assigning elements from symmetric sets to the vertices of the signed graphs. In the first part of the paper, we study colorings with elements from symmetric sets where the number of self-inverse elements is fixed. We prove a Brooks’-type theorem and upper bounds for the corresponding chromatic numbers in terms of the chromatic number of the underlying graph. These results are used in the second part where we introduce the symset-chromatic number χsym(G,σ) of a signed graph (G,σ). We show that the symset-chromatic number gives the minimum partition of a signed graph into independent sets and non-bipartite antibalanced subgraphs. In particular, χsym(G,σ)≤χ(G). In the final section we show that these colorings can also be formalized as DP-colorings.}},
  author       = {{Cappello, Chiara and Steffen, Eckhard}},
  issn         = {{0218-0006}},
  journal      = {{Annals of Combinatorics}},
  keywords     = {{Discrete Mathematics and Combinatorics}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Symmetric Set Coloring of Signed Graphs}}},
  doi          = {{10.1007/s00026-022-00593-4}},
  year         = {{2022}},
}

@article{31543,
  author       = {{Steffen, Eckhard and Wolf, Isaak Hieronymus}},
  issn         = {{0911-0119}},
  journal      = {{Graphs and Combinatorics}},
  keywords     = {{Discrete Mathematics and Combinatorics, Theoretical Computer Science}},
  number       = {{3}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Even Factors in Edge-Chromatic-Critical Graphs with a Small Number of Divalent Vertices}}},
  doi          = {{10.1007/s00373-022-02506-x}},
  volume       = {{38}},
  year         = {{2022}},
}

@article{33950,
  author       = {{Cappello, Chiara and Steffen, Eckhard}},
  issn         = {{0166-218X}},
  journal      = {{Discrete Applied Mathematics}},
  keywords     = {{Applied Mathematics, Discrete Mathematics and Combinatorics}},
  pages        = {{183--193}},
  publisher    = {{Elsevier BV}},
  title        = {{{Frustration-critical signed graphs}}},
  doi          = {{10.1016/j.dam.2022.08.010}},
  volume       = {{322}},
  year         = {{2022}},
}

@article{34819,
  abstract     = {{Teachers expect facilitators to have own teaching experience as a teacher in order to be able to carry out effective teacher professional development programs. As part of the project EmMa(M), it is investigated, to which extent the teaching experience of facilitators influences the development of early childhood teachers' (n = 83) mathematical pedagogical content knowledge (MPCK) and early childhood teachers' enjoyment of mathematics in the context of a teacher professional development program. It turns out that the teaching experience of the facilitators has no influence on the development of early childhood teachers' MPCK, but favors the development of early childhood teachers' enjoyment of mathematics. Controlling for this increased enjoyment an influence of teaching experience on the development of early childhood teachers' MPCK emerges, but in favor of the participating facilitators who have no teaching experience but have a university degree.}},
  author       = {{Hagena, Maike and Bruns, Julia and Gasteiger, Hedwig}},
  issn         = {{1862-5215}},
  journal      = {{Zeitschrift für Erziehungswissenschaft}},
  keywords     = {{Facilitator professional development, Early childhood teachers, Teaching, experience, Early mathematics education}},
  number       = {{6}},
  pages        = {{1455–1480}},
  publisher    = {{Springer Vieweg-springer Fachmedien Wiesbaden Gmbh}},
  title        = {{{Einfluss der Berufserfahrung von Multiplikatorinnen und Multiplikatoren auf die Wirksamkeit von Fortbildungsmaßnahmen zur frühen mathematischen Bildung. Zeitschrift Für Erziehungswissenschaft}}},
  doi          = {{10.1007/s11618-022-01122-y}},
  volume       = {{25}},
  year         = {{2022}},
}

@article{45854,
  abstract     = {{In a previous paper the authors developed an algorithm to classify certain quaternary quadratic lattices over totally real fields. The present article applies this algorithm to the classification of binary Hermitian lattices over totally imaginary fields. We use it in particular to classify the 48-dimensional extremal even unimodular lattices over the integers that admit a semilarge automorphism.}},
  author       = {{Kirschmer, Markus and Nebe, Gabriele}},
  issn         = {{1058-6458}},
  journal      = {{Experimental Mathematics}},
  keywords     = {{General Mathematics}},
  number       = {{1}},
  pages        = {{280--301}},
  publisher    = {{Informa UK Limited}},
  title        = {{{Binary Hermitian Lattices over Number Fields}}},
  doi          = {{10.1080/10586458.2019.1618756}},
  volume       = {{31}},
  year         = {{2022}},
}

@article{34677,
  author       = {{Black, Tobias and Wu, Chunyan}},
  issn         = {{0944-2669}},
  journal      = {{Calculus of Variations and Partial Differential Equations}},
  keywords     = {{Applied Mathematics, Analysis}},
  number       = {{3}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation}}},
  doi          = {{10.1007/s00526-022-02201-y}},
  volume       = {{61}},
  year         = {{2022}},
}

@article{39412,
  abstract     = {{<jats:p> The Eringen’s nonlocal elastica equation does not possess a Lagrangian formulation. In this article, we find a variational integrating factor which enables us to provide a Lagrangian and Hamiltonian structure associated to this equation. Explicit expressions of the solutions in terms of elliptic integrals of the first kind are then deduced. We then derive discrete version of the Eringen’s nonlocal elastica preserving the Lagrangian and Hamiltonian structure and compare it with Challamel’s and co-worker definition of a discrete Eringen’s nonlocal elastica. </jats:p>}},
  author       = {{Cresson, Jacky and Hariz-Belgacem, Khaled}},
  issn         = {{1081-2865}},
  journal      = {{Mathematics and Mechanics of Solids}},
  keywords     = {{Mechanics of Materials, General Materials Science, General Mathematics}},
  publisher    = {{SAGE Publications}},
  title        = {{{About the structure of the discrete and continuous Eringen’s nonlocal elastica}}},
  doi          = {{10.1177/10812865221108094}},
  year         = {{2022}},
}

@article{39400,
  abstract     = {{<jats:p> The Eringen’s nonlocal elastica equation does not possess a Lagrangian formulation. In this article, we find a variational integrating factor which enables us to provide a Lagrangian and Hamiltonian structure associated to this equation. Explicit expressions of the solutions in terms of elliptic integrals of the first kind are then deduced. We then derive discrete version of the Eringen’s nonlocal elastica preserving the Lagrangian and Hamiltonian structure and compare it with Challamel’s and co-worker definition of a discrete Eringen’s nonlocal elastica. </jats:p>}},
  author       = {{Cresson, Jacky and Hariz Belgacem, Khaled}},
  issn         = {{1081-2865}},
  journal      = {{Mathematics and Mechanics of Solids}},
  keywords     = {{Mechanics of Materials, General Materials Science, General Mathematics}},
  publisher    = {{SAGE Publications}},
  title        = {{{About the structure of the discrete and continuous Eringen’s nonlocal elastica}}},
  doi          = {{10.1177/10812865221108094}},
  year         = {{2022}},
}

@article{35948,
  author       = {{Liszt-Rohlf, Verena and Wochnik, Markus and Schwabl, Franziska}},
  issn         = {{0172-2875}},
  journal      = {{Zeitschrift für Berufs- und Wirtschaftspädagogik}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{2}},
  pages        = {{261--295}},
  publisher    = {{Wissenschaftliche Verlagsgesellschaft mbH}},
  title        = {{{Alte Fotografien, neue Erkenntnisse}}},
  doi          = {{10.25162/zbw-2022-0011}},
  volume       = {{118}},
  year         = {{2022}},
}

@article{45920,
  author       = {{Liszt-Rohlf, Verena and Wochnik, Markus and Schwabl, Franziska}},
  issn         = {{0172-2875}},
  journal      = {{Zeitschrift für Berufs- und Wirtschaftspädagogik}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{2}},
  pages        = {{261--295}},
  publisher    = {{Wissenschaftliche Verlagsgesellschaft mbH}},
  title        = {{{Alte Fotografien, neue Erkenntnisse}}},
  doi          = {{10.25162/zbw-2022-0011}},
  volume       = {{118}},
  year         = {{2022}},
}