@phdthesis{55291, author = {{Technau, Marc}}, publisher = {{University of Würzburg}}, title = {{{On Beatty sets and some generalisations thereof}}}, doi = {{10.25972/WUP-978-3-95826-089-4}}, year = {{2018}}, } @inproceedings{8575, abstract = {{The transition from high school to university mathematics has proven to be difficult for many students but especially for pre-service secondary teachers. To support these students at mastering this transition, various universities have introduced support measures of various kinds. The WiGeMath project developed a taxonomy that makes it possible to describe and compare these measures concerning their goals as well as their frame characteristics. We will exemplify the use of the taxonomy in the description of one specific innovative measure that was part of the WiGeMath evaluations. Moreover, we will present first results concerning the goal-fulfilment of this measure concerning affective characteristics of the student cohort and their predominant beliefs.}}, author = {{Kuklinski, Christiane and Leis, Elena and Liebendörfer, Michael and Hochmuth, Reinhard and Biehler, Rolf and Lankeit, Elisa and Neuhaus, Silke and Schaper, Niclas and Schürmann, Mirko}}, booktitle = {{Proceedings of the Second Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)}}, editor = {{Durand-Guerrier, V. and Hochmuth, R. and Goodchild, S. and Hogstad, N.M.}}, keywords = {{Beliefs., Motivational developments, Novel approaches to teaching, Teacher education, Transition to and across university mathematics}}, pages = {{527--536}}, publisher = {{INDRUM Network, University of Agder}}, title = {{{Evaluating Innovative Measures in University Mathematics – The Case of Affective Outcomes in a Lecture focused on Problem-Solving}}}, year = {{2018}}, } @inbook{8569, author = {{Biehler, Rolf and Hochmuth, Reinhard and Schaper, Niclas and Kuklinski, Christiane and Lankeit, Elisa and Leis, Elena and Liebendörfer, Michael and Schürmann, Mirko}}, booktitle = {{3. Auswertungsworkshop der Begleitforschung. Dokumentation der Projektbeiträge.}}, editor = {{Hanft, Anke and Bischoff, Franziska and Kretschmer, Stefanie}}, pages = {{32--41}}, publisher = {{Carl von Ossietzky Universität Oldenburg}}, title = {{{Verbundprojekt WiGeMath: Wirkung und Gelingensbedingungen von Unterstützungsmaßnahmen für mathematikbezogenes Lernen in der Studieneingangsphase}}}, year = {{2018}}, } @techreport{16967, author = {{Hochmuth, Reinhard and Biehler, Rolf and Schaper, Niclas and Kuklinski, Christiane and Lankeit, Elisa and Leis, Elena and Liebendörfer, Michael and Schürmann, Mirko}}, title = {{{Wirkung und Gelingensbedingungen von Unterstützungsmaßnahmen für mathmatikbezogenes Lernen in der Studieneingangsphase : Schlussbericht: Teilprojekt A der Leibniz Universität Hannover, Teilprojekte B und C der Universität Paderborn: Berichtszeitraum: 01.03.2015-31.08.2018}}}, doi = {{10.2314/KXP:1689534117}}, year = {{2018}}, } @article{37661, author = {{Rösler, Margit and Voit, Michael}}, issn = {{0022-2526}}, journal = {{Studies in Applied Mathematics}}, keywords = {{Applied Mathematics}}, number = {{4}}, pages = {{474--500}}, publisher = {{Wiley}}, title = {{{Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones}}}, doi = {{10.1111/sapm.12217}}, volume = {{141}}, year = {{2018}}, } @article{37662, author = {{Rösler, Margit and Graczyk, Piotr and Luks, Tomasz}}, issn = {{0926-2601}}, journal = {{Potential Analysis}}, keywords = {{Analysis}}, number = {{3}}, pages = {{337--360}}, publisher = {{Springer Science and Business Media LLC}}, title = {{{On the Green Function and Poisson Integrals of the Dunkl Laplacian}}}, doi = {{10.1007/s11118-017-9638-6}}, volume = {{48}}, year = {{2018}}, } @article{40050, author = {{Baeumer, Boris and Luks, Tomasz and Meerschaert, Mark M.}}, issn = {{0025-584X}}, journal = {{Mathematische Nachrichten}}, keywords = {{General Mathematics}}, number = {{17-18}}, pages = {{2516--2535}}, publisher = {{Wiley}}, title = {{{Space‐time fractional Dirichlet problems}}}, doi = {{10.1002/mana.201700111}}, volume = {{291}}, year = {{2018}}, } @article{34843, abstract = {{A polynomial time algorithm to find generators of the lattice of all subfields of a given number field was given in van Hoeij et al. (2013). This article reports on a massive speedup of this algorithm. This is primary achieved by our new concept of Galois-generating subfields. In general this is a very small set of subfields that determine all other subfields in a group-theoretic way. We compute them by targeted calls to the method from van Hoeij et al. (2013). For an early termination of these calls, we give a list of criteria that imply that further calls will not result in additional subfields. Finally, we explain how we use subfields to get a good starting group for the computation of Galois groups.}}, author = {{Elsenhans, Andreas-Stephan and Klüners, Jürgen}}, issn = {{0747-7171}}, journal = {{Journal of Symbolic Computation}}, keywords = {{Computational Mathematics, Algebra and Number Theory}}, pages = {{1--20}}, publisher = {{Elsevier BV}}, title = {{{Computing subfields of number fields and applications to Galois group computations}}}, doi = {{10.1016/j.jsc.2018.04.013}}, volume = {{93}}, year = {{2018}}, } @inbook{42788, abstract = {{We classify all one-class genera of admissible lattice chains of length at least 2 in hermitian spaces over number fields. If L is a lattice in the chain and p the prime ideal dividing the index of the lattices in the chain, then the {p}-arithmetic group Aut(L{p}) acts chamber transitively on the corresponding Bruhat-Tits building. So our classification provides a step forward to a complete classification of these chamber transitive groups which has been announced 1987 (without a detailed proof) by Kantor, Liebler and Tits. In fact we find all their groups over number fields and one additional building with a discrete chamber transitive group.}}, author = {{Kirschmer, Markus and Nebe, Gabriele}}, booktitle = {{Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory}}, isbn = {{9783319705651}}, publisher = {{Springer International Publishing}}, title = {{{One Class Genera of Lattice Chains Over Number Fields}}}, doi = {{10.1007/978-3-319-70566-8_22}}, year = {{2018}}, } @article{42790, abstract = {{We show that exceptional algebraic groups over number fields do not admit one-class genera of parahoric groups, except in the case G₂ . For the group G₂, we enumerate all such one-class genera for the usual seven-dimensional representation.}}, author = {{Kirschmer, Markus}}, issn = {{1246-7405}}, journal = {{Journal de Théorie des Nombres de Bordeaux}}, keywords = {{Algebra and Number Theory}}, number = {{3}}, pages = {{847--857}}, publisher = {{Cellule MathDoc/CEDRAM}}, title = {{{One-class genera of exceptional groups over number fields}}}, doi = {{10.5802/jtnb.1052}}, volume = {{30}}, year = {{2018}}, } @article{44333, abstract = {{This work deals with an algebro–geometric theory of solutions of the classical Yang–Baxter equation based on torsion free coherent sheaves of Lie algebras on Weierstraß cubic curves.}}, author = {{Burban, Igor and Galinat, L.}}, journal = {{Communications in Mathematical Physics}}, number = {{1}}, pages = {{123–169}}, title = {{{Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation}}}, doi = {{10.1007/s00220-018-3172-2}}, volume = {{364}}, year = {{2018}}, } @unpublished{44538, author = {{Burban, Igor and Drozd, Yu.}}, title = {{{Non-commutative nodal curves and derived tame algebras}}}, year = {{2018}}, } @article{44332, author = {{Burban, Igor and Zheglov, A.}}, journal = {{International Journal of Mathematics}}, number = {{10}}, title = {{{Fourier-Mukai transform on Weierstraß cubics and commuting differential operators}}}, volume = {{29}}, year = {{2018}}, } @misc{45394, author = {{Dröse, Jennifer and Prediger, Susanne and Marcus, A.}}, title = {{{Strategien zum Verstehen von Textaufgaben – Fach- und sprachintegriertes Unterrichtsmaterial in Basis- und Regelfassung}}}, year = {{2018}}, } @article{6571, author = {{Jurgelucks, Benjamin and Claes, Leander and Walther, Andrea and Henning, Bernd}}, issn = {{1055-6788}}, journal = {{Optimization Methods and Software}}, number = {{4-6}}, pages = {{868----888}}, publisher = {{Taylor and Francis Ltd.}}, title = {{{Optimization of triple-ring electrodes on piezoceramic transducers using algorithmic differentiation}}}, doi = {{10.1080/10556788.2018.1435652}}, volume = {{33}}, year = {{2018}}, } @inproceedings{45680, author = {{Bruns, Julia and Unterhauser, E. and Gasteiger, H.}}, booktitle = {{Beiträge zum Mathematikunterricht}}, pages = {{377–380}}, publisher = {{WTM-Verlag}}, title = {{{Entwicklung des Begriffsverständnisses zu Vierecksfiguren in der Grundschule – Erste Ergebnisse aus dem Projekt BegriV}}}, year = {{2018}}, } @article{45690, author = {{Bruns, Julia and Gasteiger, H.}}, journal = {{mathematik lehren}}, pages = {{10–13}}, title = {{{Gemeinsame Arbeitsphasen produktiv nutzen – verschiedene Methoden kooperativen Lernens im Mathematikunterricht der Grundschule}}}, volume = {{205}}, year = {{2018}}, } @inbook{36485, abstract = {{This chapter presents an overview of the contributions in TSG 1: Early Childhood Mathematics Education at ICME-13 which focused on issues from the perspective of early childhood educators. A basic assumption of this chapter is that the opportunities for young children to develop mathematical understandings and skills are influenced by several conditions at a macro, meso and micro level. First, curricula provide a framework for early mathematics teaching and learning with varying expectations (by teachers) about what can occur in the pre-school environment—informal learning (such as through play), content to learn and activities to experience. Second, early childhood educators’ mathematical knowledge, pedagogical knowledge, understandings, beliefs, and perceptions influence how they enact these expectations. These competencies can be developed and supported by professional learning. Third, educational programs, resources and activities used in the pre-school environment impact on the mathematical opportunities children engage in at the micro level.}}, author = {{Cooke, Audrey and Bruns, Julia}}, booktitle = {{Contemporary Research and Perspectives on Early Childhood Mathematics Education}}, editor = {{Elia, Iliada and Mulligan, Joanne and Anderson, Ann and Baccaglini-Frank, Anna and Benz, Christiane}}, isbn = {{978-3-319-73432-3}}, pages = {{267–289}}, publisher = {{Springer International Publishing}}, title = {{{Early Childhood Educators’ Issues and Perspectives in Mathematics Education}}}, doi = {{10.1007/978-3-319-73432-3_14}}, year = {{2018}}, } @inbook{36480, abstract = {{Im vorangegangenen Kapitel wurde die Vorgeschichte beschrieben, wie es durch Initiative der Deutsche Telekom Stiftung zur Gründung des DZLM gekommen ist. In diesem zweiten Kapitel werden die Tätigkeitsfelder und Konzepte des DZLM in seiner ersten Förderphase vom 01.10.2011 bis 30.09.2016 beschrieben.}}, author = {{Barzel, Bärbel and Biehler, Rolf and Blömeke, Sigrid and Brandtner, Regine and Bruns, Julia and Dohrmann, Christian and Kortenkamp, Ulrich and Lange, Thomas and Leuders, Timo and Rösken-Winter, Bettina and Scherer, Petra and Selter, Christoph}}, booktitle = {{Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik}}, editor = {{Biehler, Rolf and Lange, Thomas and Leuders, Timo and Rösken-Winter, Bettina and Scherer, Petra and Selter, Christoph}}, isbn = {{978-3-658-19028-6}}, pages = {{7–39}}, publisher = {{Springer Fachmedien Wiesbaden}}, title = {{{Das Deutsche Zentrum für Lehrerbildung Mathematik – DZLM}}}, doi = {{10.1007/978-3-658-19028-6_2}}, year = {{2018}}, } @inbook{36478, author = {{Bruns, Julia and Eichen, Lars}}, booktitle = {{Mathematikfortbildungen professionalisieren. Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik}}, editor = {{Biehler, Rolf and Lange, Thomas and Leuders, Timo and Rösken-Winter, Bettina}}, pages = {{417--434}}, publisher = {{Springer}}, title = {{{EmMa - Fortbildung für elementarpädagogische Fachpersonen zur frühen mathematischen Bildung}}}, doi = {{10.1007/978-3-658-19028-6_21}}, year = {{2018}}, }