TY - CHAP
AU - Gold, Alexander
AU - Fleischmann, Yael
AU - Mai, Tobias
AU - Biehler, Rolf
AU - Kempen, Leander
ED - Biehler, Rolf
ED - Eichler, Andreas
ED - Hochmuth, Reinhard
ED - Rach, Stefanie
ED - Schaper, Niclas
ID - 35755
SN - 2197-8751
T2 - Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik
TI - Die Online-Lernmaterialien im Online-Mathematikvorkurs studiVEMINT: Konzeption und Ergebnisse von Nutzer- und Evaluationsstudien
ER -
TY - CHAP
AU - Kempen, Leander
AU - Biehler, Rolf
ED - Biehler, Rolf
ED - Eichler, Andreas
ED - Hochmuth, Reinhard
ED - Rach, Stefanie
ED - Schaper, Niclas
ID - 35776
SN - 2197-8751
T2 - Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik
TI - Design-Based Research in der Hochschullehre am Beispiel der Lehrveranstaltung „Einführung in die Kultur der Mathematik“
ER -
TY - JOUR
AU - Höper, Lukas
AU - Malin, Leah
AU - Biehler, Rolf
ID - 35761
IS - 228
JF - mathematik lehren
TI - Schatten von 3D-Objekten: Modellierung mit GeoGebra 3D und Anwendungen in der Computergrafik
VL - 2021
ER -
TY - JOUR
AU - Hüsing, Sven
AU - Weiser, Niklas
AU - Biehler, Rolf
ID - 35763
IS - 228
JF - mathematik lehren
TI - Faszination 3D-Film: Entwicklung einer 3D-Konstruktion
VL - 2021
ER -
TY - JOUR
AB - AbstractThe 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.
AU - Pepin, Birgit
AU - Biehler, Rolf
AU - Gueudet, Ghislaine
ID - 35778
IS - 2
JF - International Journal of Research in Undergraduate Mathematics Education
KW - Education
KW - Mathematics (miscellaneous)
SN - 2198-9745
TI - Mathematics in Engineering Education: a Review of the Recent Literature with a View towards Innovative Practices
VL - 7
ER -
TY - JOUR
AU - Podworny, Susanne
AU - Biehler, Rolf
ID - 35781
IS - 4
JF - Mathematical Thinking and Learning
KW - Developmental and Educational Psychology
KW - Education
KW - General Mathematics
SN - 1098-6065
TI - The process of actively building a model for a randomization test – insights into learners’ modeling activities based on a case study
VL - 24
ER -
TY - CHAP
AU - Winsløw, Carl
AU - Biehler, Rolf
AU - Jaworski, Barbara
AU - Rønning, Frode
AU - Wawro, Megan
ED - Durand-Guerrier, V.
ED - Hochmuth, R.
ED - Nardi, E.
ED - Winsløw, C.
ID - 35704
SN - 9780429346859
T2 - Research and Development in University Mathematics Education
TI - Education and professional development of university mathematics teachers
ER -
TY - JOUR
AU - Schürmann, Mirko
AU - Liebendörfer, Michael
AU - Gildehaus, Lara
AU - Schaper, Niclas
AU - Hochmuth, Reinhard
AU - Biehler, Rolf
AU - Lankeit, Elisa
AU - Kuklinski, Christiane
AU - Ruge, Johanna
ID - 24786
JF - Sigma newsletter
TI - Opportunities and Possibilities of a Network of Mathematical Learning and Support Centres in Germany
VL - 22
ER -
TY - CHAP
AU - Rach, Stefanie
AU - Liebendörfer, Michael
ED - Hein, Kerstin
ED - Heil, Cathleen
ED - Ruwisch, Silke
ED - Prediger, Susanne
ID - 37485
SN - 978-3-95987-184-6
T2 - Beiträge zum Mathematikunterricht 2021 vom GDM-Monat 2021 der Gesellschaft für Didaktik der Mathematik (GDM) (1.-25. März 2021)
TI - Die Bedeutung affektiver Merkmale beim Mathematiklernen
ER -
TY - JOUR
AB - Abstract
Due to the COVID-19 crisis, many courses have been offered digitally. Using data from n = 1,173 business students participating in a preparatory mathematics course at a German university that covered the same content as in 2018, 2019 and 2020, we examine how students’ participation and the effect of the preparatory course changed. The data show that the participation rate has fallen slightly, but students’ participation is rather similar to preceding years. Interestingly, students have participated more intensively. There are clear signs of dishonesty in the self-test (use of a calculator) and significant changes in predictors of performance. In particular, the effect of students’ engagement in the course on their performance substantially increased. Further, we found a gender gap in performance affecting women. Finally, the data show that digital courses can be as effective as on-campus courses.
AU - Büchele, Stefan
AU - Liebendörfer, Michael
AU - Lankeit, Elisa
ID - 37474
IS - 4
JF - Teaching Mathematics and its Applications: An International Journal of the IMA
KW - Education
KW - General Mathematics
SN - 0268-3679
TI - Increasing the effect of a remedial mathematics course by switching to an online format during the COVID-19 crisis: evidence from a German university
VL - 40
ER -
TY - JOUR
AB - Das gymnasiale Lehramtsstudium der Mathematik ist an deutschen Universitäten unterschiedlich organisiert. Traditionell wurden am Studienbeginn die Fachvorlesungen zur Analysis und Linearen Algebra gemeinsam mit Fachstudierenden gehört. In jüngerer Zeit verbreiten sich alternative Modelle z. B. mit Brückenvorlesungen, die oft spezifisch für das Gymnasiallehramt angeboten werden. Sie können gemeinsame Veranstaltungen mit Fachstudierenden ergänzen oder ersetzen. Dieser Beitrag zeigt auf, welche Modelle wie häufig verbreitet sind, und spricht an, welche hochschuldidaktischen Fragen an der Studiengestaltung hängen.
AU - Gildehaus, Lara
AU - Göller, Robin
AU - Liebendörfer, Michael
ID - 37483
IS - 111
JF - Mitteilungen der Gesellschaft für Didaktik der Mathematik
SN - 2512-9155
TI - Gymnasiales Lehramt Mathematik studieren – eine Übersicht zur Studienorganisation in Deutschland
VL - 47
ER -
TY - CONF
AU - Vajen, Bastian
AU - Gildehaus, Lara
AU - Liebendörfer, Michael
AU - Wolf, Christoph
ED - Kenner, Steve
ED - Oeftering, T.
ID - 37481
T2 - Schriftenreihe der DVPB. Standortbestimmung Politische Bildung: Gesellschaftspolitische Herausforderungen, Zivilgesellschaft und das vermeintliche Neutralitätsgebot
TI - Mathematisierung als Herausforderung für die politische Bildung
ER -
TY - CHAP
AU - Göller, Robin
AU - Gildehaus, Lara
AU - Liebendörfer, Michael
AU - Steuding, Jörn
ED - Blunck, Andrea
ED - Motzer, Renate
ID - 37480
T2 - Mathematik und Gender: Berichte und Beiträge des Arbeitskreise Frauen und Mathematik
TI - Prüfungsformate als Ansatzpunkt gendersensibler universitärer Lehre im Fach Mathematik
VL - 5
ER -
TY - CONF
AU - Haak, Inka
AU - Gildehaus, Lara
AU - Liebendörfer, Michael
ID - 37478
T2 - Naturwissenschaftlicher Unterricht und Lehrerbildung im Umbruch?
TI - Genese und Funktionen von Lerngruppen in der Studieneingangsphase
ER -
TY - JOUR
AB - Abstract
We investigated university students’ study of mathematics in the digital setting context of the COVID-19 pandemic. We gathered data from a survey of 89 students enrolled in a ‘Linear Algebra 1’ course including affective variables, learning strategies, social relatedness and resources considered useful. The results indicate students’ high effort and self-regulation and a high variation in affective characteristics and social relatedness. All the traditional aspects of mathematics teaching (lecture, tutorials and lecture notes) were rated as particularly useful. In addition, the videos from external resources were rated as equally useful as the teaching team’s videos. In contrast, traditional literature such as textbooks was rarely considered useful. The most useful resource rated was communication with peers, underlining the important role of social learning despite fully digital learning environments. Finally, a cluster analysis based on students’ rated usefulness of the resources led to three different user-types. Whereas the ‘digitals’ find the external digital resources very useful (videos, webpages, etc.), the ‘traditionalists’ rate the digitalized traditional resources best (lecture, tutorials, etc.). All resources receive uniformly good ratings from a third group (‘all resource users’). We reflect on our findings in light of the pandemic and describe directions for future research.
AU - Kempen, Leander
AU - Liebendörfer, Michael
ID - 37473
IS - 4
JF - Teaching Mathematics and its Applications: An International Journal of the IMA
KW - Education
KW - General Mathematics
SN - 0268-3679
TI - University students’ fully digital study of mathematics: an identification of student-groups via their resources usage and a characterization by personal and affective characteristics
VL - 40
ER -
TY - CONF
AU - Liebendörfer, Michael
AU - Hochmuth, Reinhard
AU - Rode, Jana
AU - Schukajlow, Stanislaw
ED - Inprasitha, M.
ED - Changsri, N.
ED - Boonsena, N.
ID - 37487
T2 - Interim Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education
TI - The Mathematical Beliefs and Interest Development of Pre-Service Primary Teachers
VL - 3
ER -
TY - JOUR
AU - Krapf, Regula
AU - Liebendörfer, Michael
ID - 37494
IS - 44
JF - mathematica didactica
KW - Extrinsische Motivation
TI - Was bewirkt die Pflichtabgabe von Übungsaufgaben in der Hochschulmathematik? – Ein empirischer Vergleich
VL - 2
ER -
TY - JOUR
AU - Winkler, Michael
ID - 35616
JF - Nonlinear Analysis: Real World Applications
TI - Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with gradient-dependent flux limitation.
VL - 59
ER -
TY - JOUR
AU - Winkler, Michael
ID - 35615
JF - Zeitschrift für Angewandte Mathematik und Physik
TI - Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system.
VL - 72
ER -
TY - JOUR
AU - Winkler, Michael
ID - 35614
JF - International Mathematics Research Notices
TI - Can rotational fluxes impede the tendency toward spatial homogeneity in nutrient taxis (-Stokes) systems?
VL - 2021
ER -
TY - JOUR
AU - Winkler, Michael
ID - 35617
JF - Applied Mathematics Letters
TI - Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity.
VL - 112
ER -
TY - JOUR
AU - Winkler, Michael
ID - 35613
JF - Transactions of the American Mathematical Society
TI - Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow.
VL - 374
ER -
TY - JOUR
AU - Rösler, Margit
AU - Voit, Michael
ID - 37659
IS - 3
JF - Proceedings of the American Mathematical Society
KW - Applied Mathematics
KW - General Mathematics
SN - 0002-9939
TI - Positive intertwiners for Bessel functions of type B
VL - 149
ER -
TY - JOUR
AU - Tao, Youshan
AU - Winkler, Michael
ID - 35603
JF - Journal of Functional Analysis
TI - A fully cross-diffusive two-component evolution system: Existence and qualitative analysis via entropy-consistent thin-film-type approximation.
VL - 281
ER -
TY - JOUR
AU - Tao, Youshan
AU - Winkler, Michael
ID - 35606
JF - Nonlinear Analysis, Theory, Methods and Applications
TI - The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis.
VL - 208
ER -
TY - JOUR
AU - Wang, Yulan
AU - Winkler, Michael
AU - Xiang, Zhaoyin
ID - 35612
JF - Science China Mathematics
TI - Immediate regularization of measure-type population densities in a two-dimensional chemotaxis system with signal consumption.
VL - 64
ER -
TY - JOUR
AU - Ding, Mengyao
AU - Winkler, Michael
ID - 35601
JF - Nonlinear Differential Equatiions and Applicatiions
TI - Small-density solutiions in Keller-Segel systems involving rapidly decaying diffusivities.
VL - 28
ER -
TY - JOUR
AU - Tao, Youshan
AU - Winkler, Michael
ID - 35605
JF - Communications in Mathematical Sciences
TI - Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime.
VL - 19
ER -
TY - JOUR
AU - Tao, Youshan
AU - Winkler, Michael
ID - 35604
JF - SIAM Journal on Mathematical Analysis
TI - Taxis-driven formation of singular hotspots in a May-Nowak type model for virus infection.
VL - 53
ER -
TY - JOUR
AU - Wang, Yulan
AU - Winkler, Michael
AU - Xiang, Zhaoyin
ID - 35610
JF - Communications in Partial Differential Equations
TI - Local energy estimates and global solvability in a threee-dimensional chemotaxis-fluid system with prescribed signal on the boundary.
VL - 46
ER -
TY - JOUR
AU - Wang, Yulan
AU - Winkler, Michael
AU - Xiang, Zhaoyin
ID - 35611
JF - Advances in Nonlinear Analysis
TI - Global solvability in a threee-dimensional Keller-Segel.Stokes system involving arbitrary superlinear logistic degradation
VL - 10
ER -
TY - JOUR
AU - Tao, Youshan
AU - Winkler, Michael
ID - 35608
IS - --A
JF - Discrete and Continuous Dynamical Systems
TI - Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction
VL - 41
ER -
TY - JOUR
AB - In this paper we obtain a complete list of imaginary n-quadratic fields with class groups of exponent 3 and 5 under ERH for every positive integer n where an n-quadratic field is a number field of degree 2ⁿ represented as the composite of n quadratic fields.
AU - Klüners, Jürgen
AU - Komatsu, Toru
ID - 34840
IS - 329
JF - Mathematics of Computation
KW - Applied Mathematics
KW - Computational Mathematics
KW - Algebra and Number Theory
SN - 0025-5718
TI - Imaginary multiquadratic number fields with class group of exponent $3$ and $5$
VL - 90
ER -
TY - JOUR
AB - Let E be an ordinary elliptic curve over a finite field and g be a positive integer. Under some technical assumptions, we give an algorithm to span the isomorphism classes of principally polarized abelian varieties in the isogeny class of E⁹ . The varieties are first described as hermitian lattices over (not necessarily maximal) quadratic orders and then geometrically in terms of their algebraic theta null point. We also show how to algebraically compute Siegel modular forms of even weight given as polynomials in the theta constants by a careful choice of an affine lift of the theta null point. We then use these results to give an algebraic computation of Serre’s obstruction for principally polarized abelian threefolds isogenous to E³ and of the Igusa modular form in dimension 4. We illustrate our algorithms with examples of curves with many rational points over finite fields.
AU - Kirschmer, Markus
AU - Narbonne, Fabien
AU - Ritzenthaler, Christophe
AU - Robert, Damien
ID - 34912
IS - 333
JF - Mathematics of Computation
KW - Applied Mathematics
KW - Computational Mathematics
KW - Algebra and Number Theory
SN - 0025-5718
TI - Spanning the isogeny class of a power of an elliptic curve
VL - 91
ER -
TY - JOUR
AB - This paper is devoted to algebro-geometric study of infinite dimensional Lie bialgebras, which arise from solutions of the classical Yang–Baxter equation. We regard trigonometric solutions of this equation as twists of the standard Lie bialgebra cobracket on an appropriate affine Lie algebra and work out the corresponding theory of Manin triples, putting it into an algebro-geometric context. As a consequence of this approach, we prove that any trigonometric solution of the classical Yang–Baxter equation arises from an appropriate algebro-geometric datum. The developed theory is illustrated by some concrete examples.
AU - Burban, Igor
AU - Abedin, R.
ID - 44329
IS - 2
JF - Communications in Mathematical Physics
TI - Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation
VL - 387
ER -
TY - JOUR
AB - The role of domain-specific content knowledge is discussed controversially for the early childhood context. Therefore, this review aims at untangling the research on domain-specific content knowledge for early childhood educators by systematically reviewing the conceptual and operational definition of and results on early childhood educators' content knowledge in different domains. Using the scientific databases ERIC, PsycInfo and Web of Sciences, we identified 36 studies on early childhood educators' domain-specific content knowledge. By comparing these studies, we found that conceptualizations of early childhood educators' content knowledge move on a continuum between a scientific related perspective and a practice related perspective. The scientific related perspective defines content knowledge as the knowledge of key concepts, facts and rules of the domain integrating knowledge taught in primary, secondary or upper secondary school. The practice related perspective includes knowledge of key concepts, facts and rules of the domain limited to the knowledge explicitly relevant for teaching in early childhood education as well as selected domain-specific knowledge of children and teaching. Our review shows that the results and implications drawn by the study authors depend on how these authors conceptualize early childhood educators' content knowledge on this continuum. Further research, therefore, needs to consider carefully how early childhood educators' content knowledge is conceptualized. The paper further discusses gaps in this research field, such as validating methods for measuring early childhood educators' content knowledge or implementing more rigorous experimental designs to examine effects of early childhood educators' content knowledge.
AU - Bruns, Julia
AU - Gasteiger, Hedwig
AU - Strahl, Carolin
ID - 34822
IS - 2
JF - Review of Education
KW - content knowledge
KW - domain-specific learning
KW - early childhood education
KW - teacher knowledge
SN - 2049-6613
TI - Conceptualising and measuring domain-specific content knowledge of early childhood educators: A systematic review
VL - 9
ER -
TY - JOUR
AU - Bruns, Julia
AU - Schopferer, T.
ID - 45687
JF - . TPS – Theorie und Praxis der Sozialpädagogik
TI - Eine mustergültige Wissenschaft
VL - 11
ER -
TY - CONF
AU - Jensen, Solveig
AU - Gasteiger, Hedwig
AU - Bruns, Julia
ED - Inprasitha, Maitree
ED - Changsri, Narumon
ED - Boonsena, Nisakorn
ID - 36527
T2 - Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education
TI - Place value and regrouping as seperate constructs of place value understanding
VL - 3
ER -
TY - JOUR
AU - Bruns, Julia
AU - Gasteiger, Hedwig
AU - Strahl, Carolin
ID - 34823
IS - 2
JF - Review of Education
SN - 2049-6613
TI - Context and Implications Document for: Conceptualising and measuring domain-specific content knowledge of early childhood educators: A systematic review
VL - 9
ER -
TY - CONF
AU - Jensen, Solveig
AU - Gasteiger, Hedwig
AU - Bruns, Julia
ID - 36536
T2 - Beiträge zum Mathematikunterricht 2021
TI - Stellenwertverständnis: Verständnis von Stellenwertprinzip und Bündelungsprinzip als separate Konstrukte
ER -
TY - JOUR
AU - Schönherr, Johanna
AU - Blomberg, J.
AU - Schukajlow, S.
AU - Leopold, C.
ID - 45342
JF - Contemporary Educational Psychology
TI - Do emotions and prior performance facilitate the use of the learner-generated drawing strategy? Effects of enjoyment, anxiety, and intramathematical performance on the use of the drawing strategy and modelling performance
VL - 65
ER -
TY - JOUR
AU - Schönherr, Johanna
AU - Schukajlow, S.
AU - Blomberg, J.
AU - Leopold, C.
ID - 45333
JF - Mathematical Thinking and Learning
TI - Does strategic knowledge matter? Effects of strategic knowledge about drawing on students’ modeling competencies in the domain of geometry
ER -
TY - JOUR
AU - Schönherr, Johanna
AU - Schukajlow, S.
AU - Blomberg, J.
AU - Leopold, C.
ID - 45343
JF - Learning and Instruction
TI - The role of strategy-based motivation in mathematical problem solving: The case of learner-generated drawings
VL - 80
ER -
TY - JOUR
AU - Schönherr, Johanna
AU - Schukajlow, S.
AU - Blomberg, J.
ID - 45335
JF - mathematik lehren
TI - Was ist eine gute Skizze? Strategiewissen beim mathematischen Modellieren im Bereich der Geometrie fördern
VL - 224
ER -
TY - JOUR
AU - Black, Tobias
AU - Fuest, Mario
AU - Lankeit, Johannes
ID - 34673
IS - 3
JF - Zeitschrift für angewandte Mathematik und Physik
KW - Applied Mathematics
KW - General Physics and Astronomy
KW - General Mathematics
SN - 0044-2275
TI - Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems
VL - 72
ER -
TY - JOUR
AU - Black, Tobias
AU - Wu, Chunyan
ID - 34675
IS - 4
JF - Zeitschrift für angewandte Mathematik und Physik
KW - Applied Mathematics
KW - General Physics and Astronomy
KW - General Mathematics
SN - 0044-2275
TI - Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation
VL - 72
ER -
TY - JOUR
AU - Dröse, Jennifer
AU - Prediger, S.
AU - Neugebauer, P.
AU - Danhier, R. D.
AU - Mertins, B.
ID - 45381
JF - International Electronic Journal of Mathematics Education, 16(1), em0625
TI - Investigating students' processes of noticing and interpreting syntactic language features in word problem solving through eye-tracking
ER -
TY - JOUR
AU - Dröse, Jennifer
AU - Prediger, S.
ID - 45380
JF - Studies in Educational Evaluation, 68 (100953)
TI - Identifying obstacles is not enough for everybody – Differential efficacy of an intervention fostering fifth graders’ comprehension for word problems
ER -
TY - JOUR
AU - Häsel-Weide, Uta
AU - Seitz, Simone
AU - Wallner, Melina
AU - Wilke, Yannik
AU - Heckmann, Lara
ID - 31578
IS - 1
JF - QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte
TI - Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe
VL - 3
ER -
TY - CONF
AU - Hattermann, Mathias
AU - Häsel-Weide, Uta
AU - Wallner, Melina
ED - Inprasitha, M.
ED - Changsri, N.
ED - Boonsena, N.
ID - 31583
T2 - Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education
TI - Conceptualiziation processes of 6th graders for rotational symmetry
VL - 3
ER -