---
_id: '45971'
abstract:
- lang: eng
text: "Abstract\r\n An error estimate
for a canonical discretization of the harmonic map heat flow into spheres is derived.
The numerical scheme uses standard finite elements with a nodal treatment of linearized
unit-length constraints. The analysis is based on elementary approximation results
and only uses the discrete weak formulation."
author:
- first_name: Sören
full_name: Bartels, Sören
last_name: Bartels
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
- first_name: Zhangxian
full_name: Wang, Zhangxian
last_name: Wang
citation:
ama: Bartels S, Kovács B, Wang Z. Error analysis for the numerical approximation
of the harmonic map heat flow with nodal constraints. IMA Journal of Numerical
Analysis. Published online 2023. doi:10.1093/imanum/drad037
apa: Bartels, S., Kovács, B., & Wang, Z. (2023). Error analysis for the numerical
approximation of the harmonic map heat flow with nodal constraints. IMA Journal
of Numerical Analysis. https://doi.org/10.1093/imanum/drad037
bibtex: '@article{Bartels_Kovács_Wang_2023, title={Error analysis for the numerical
approximation of the harmonic map heat flow with nodal constraints}, DOI={10.1093/imanum/drad037},
journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press
(OUP)}, author={Bartels, Sören and Kovács, Balázs and Wang, Zhangxian}, year={2023}
}'
chicago: Bartels, Sören, Balázs Kovács, and Zhangxian Wang. “Error Analysis for
the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.”
IMA Journal of Numerical Analysis, 2023. https://doi.org/10.1093/imanum/drad037.
ieee: 'S. Bartels, B. Kovács, and Z. Wang, “Error analysis for the numerical approximation
of the harmonic map heat flow with nodal constraints,” IMA Journal of Numerical
Analysis, 2023, doi: 10.1093/imanum/drad037.'
mla: Bartels, Sören, et al. “Error Analysis for the Numerical Approximation of the
Harmonic Map Heat Flow with Nodal Constraints.” IMA Journal of Numerical Analysis,
Oxford University Press (OUP), 2023, doi:10.1093/imanum/drad037.
short: S. Bartels, B. Kovács, Z. Wang, IMA Journal of Numerical Analysis (2023).
date_created: 2023-07-10T12:32:10Z
date_updated: 2024-04-03T09:15:27Z
department:
- _id: '841'
doi: 10.1093/imanum/drad037
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
publication: IMA Journal of Numerical Analysis
publication_identifier:
issn:
- 0272-4979
- 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Error analysis for the numerical approximation of the harmonic map heat flow
with nodal constraints
type: journal_article
user_id: '100441'
year: '2023'
...
---
_id: '53140'
abstract:
- lang: eng
text: We present a new stability and error analysis of fully discrete approximation
schemes for the transient Stokes equation. For the spatial discretization, we
consider a wide class of Galerkin finite element methods which includes both inf-sup
stable spaces and symmetric pressure stabilized formulations. We extend the results
from Burman and Fernández [\textit{SIAM J. Numer. Anal.}, 47 (2009), pp. 409-439]
and provide a unified theoretical analysis of backward difference formulae (BDF
methods) of order 1 to 6. The main novelty of our approach lies in the use of
Dahlquist's G-stability concept together with multiplier techniques introduced
by Nevannlina-Odeh and recently by Akrivis et al. [\textit{SIAM J. Numer. Anal.},
59 (2021), pp. 2449-2472] to derive optimal stability and error estimates for
both the velocity and the pressure. When combined with a method dependent Ritz
projection for the initial data, unconditional stability can be shown while for
arbitrary interpolation, pressure stability is subordinate to the fulfillment
of a mild inverse CFL-type condition between space and time discretizations.
author:
- first_name: Alessandro
full_name: Contri, Alessandro
last_name: Contri
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
- first_name: André
full_name: Massing, André
last_name: Massing
citation:
ama: 'Contri A, Kovács B, Massing A. Error analysis of BDF 1-6 time-stepping methods
for the transient Stokes problem: velocity and pressure estimates. arXiv.
Published online 2023. doi:10.48550/ARXIV.2312.05511'
apa: 'Contri, A., Kovács, B., & Massing, A. (2023). Error analysis of BDF 1-6
time-stepping methods for the transient Stokes problem: velocity and pressure
estimates. ArXiv. https://doi.org/10.48550/ARXIV.2312.05511'
bibtex: '@article{Contri_Kovács_Massing_2023, title={Error analysis of BDF 1-6 time-stepping
methods for the transient Stokes problem: velocity and pressure estimates}, DOI={10.48550/ARXIV.2312.05511},
journal={arXiv}, author={Contri, Alessandro and Kovács, Balázs and Massing, André},
year={2023} }'
chicago: 'Contri, Alessandro, Balázs Kovács, and André Massing. “Error Analysis
of BDF 1-6 Time-Stepping Methods for the Transient Stokes Problem: Velocity and
Pressure Estimates.” ArXiv, 2023. https://doi.org/10.48550/ARXIV.2312.05511.'
ieee: 'A. Contri, B. Kovács, and A. Massing, “Error analysis of BDF 1-6 time-stepping
methods for the transient Stokes problem: velocity and pressure estimates,” arXiv,
2023, doi: 10.48550/ARXIV.2312.05511.'
mla: 'Contri, Alessandro, et al. “Error Analysis of BDF 1-6 Time-Stepping Methods
for the Transient Stokes Problem: Velocity and Pressure Estimates.” ArXiv,
2023, doi:10.48550/ARXIV.2312.05511.'
short: A. Contri, B. Kovács, A. Massing, ArXiv (2023).
date_created: 2024-04-03T09:08:38Z
date_updated: 2024-04-03T09:12:47Z
department:
- _id: '841'
doi: 10.48550/ARXIV.2312.05511
language:
- iso: eng
publication: arXiv
status: public
title: 'Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem:
velocity and pressure estimates'
type: journal_article
user_id: '100441'
year: '2023'
...
---
_id: '53142'
author:
- first_name: Thomas
full_name: Berger, Thomas
id: '77457'
last_name: Berger
- first_name: Lukas
full_name: Lanza, Lukas
last_name: Lanza
citation:
ama: 'Berger T, Lanza L. Funnel control of linear systems with arbitrary relative
degree under output measurement losses. IMA Journal of Mathematical Control
and Information,. 2023;40(4):691-713. doi:doi:
10.1093/imamci/dnad029'
apa: 'Berger, T., & Lanza, L. (2023). Funnel control of linear systems with
arbitrary relative degree under output measurement losses. IMA Journal of Mathematical
Control and Information, 40(4), 691–713. https://doi.org/doi: 10.1093/imamci/dnad029'
bibtex: '@article{Berger_Lanza_2023, title={Funnel control of linear systems with
arbitrary relative degree under output measurement losses}, volume={40}, DOI={doi: 10.1093/imamci/dnad029},
number={4}, journal={IMA Journal of Mathematical Control and Information,}, author={Berger,
Thomas and Lanza, Lukas}, year={2023}, pages={691–713} }'
chicago: 'Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with
Arbitrary Relative Degree under Output Measurement Losses.” IMA Journal of
Mathematical Control and Information, 40, no. 4 (2023): 691–713. https://doi.org/doi: 10.1093/imamci/dnad029.'
ieee: 'T. Berger and L. Lanza, “Funnel control of linear systems with arbitrary
relative degree under output measurement losses,” IMA Journal of Mathematical
Control and Information, vol. 40, no. 4, pp. 691–713, 2023, doi: doi: 10.1093/imamci/dnad029.'
mla: 'Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with Arbitrary
Relative Degree under Output Measurement Losses.” IMA Journal of Mathematical
Control and Information, vol. 40, no. 4, 2023, pp. 691–713, doi:doi: 10.1093/imamci/dnad029.'
short: T. Berger, L. Lanza, IMA Journal of Mathematical Control and Information,
40 (2023) 691–713.
date_created: 2024-04-03T09:37:59Z
date_updated: 2024-04-05T05:50:29Z
department:
- _id: '618'
doi: 'doi: 10.1093/imamci/dnad029'
intvolume: ' 40'
issue: '4'
language:
- iso: eng
page: 691-713
publication: IMA Journal of Mathematical Control and Information,
status: public
title: Funnel control of linear systems with arbitrary relative degree under output
measurement losses
type: journal_article
user_id: '77457'
volume: 40
year: '2023'
...
---
_id: '53143'
author:
- first_name: J. G.
full_name: Lee, J. G.
last_name: Lee
- first_name: Thomas
full_name: Berger, Thomas
id: '77457'
last_name: Berger
- first_name: S.
full_name: Trenn, S.
last_name: Trenn
- first_name: H.
full_name: Shim, H.
last_name: Shim
citation:
ama: 'Lee JG, Berger T, Trenn S, Shim H. Edge-wise funnel output synchronization
of heterogeneous agents with relative degree one. Automatica. 2023;156:Article
111204. doi:doi: 10.1016/j.automatica.2023.111204 (open access)'
apa: 'Lee, J. G., Berger, T., Trenn, S., & Shim, H. (2023). Edge-wise funnel
output synchronization of heterogeneous agents with relative degree one. Automatica,
156, Article 111204. https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)'
bibtex: '@article{Lee_Berger_Trenn_Shim_2023, title={Edge-wise funnel output synchronization
of heterogeneous agents with relative degree one}, volume={156}, DOI={doi: 10.1016/j.automatica.2023.111204
(open access)}, journal={Automatica}, author={Lee, J. G. and Berger, Thomas
and Trenn, S. and Shim, H.}, year={2023}, pages={Article 111204} }'
chicago: 'Lee, J. G., Thomas Berger, S. Trenn, and H. Shim. “Edge-Wise Funnel Output
Synchronization of Heterogeneous Agents with Relative Degree One.” Automatica
156 (2023): Article 111204. https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access).'
ieee: 'J. G. Lee, T. Berger, S. Trenn, and H. Shim, “Edge-wise funnel output synchronization
of heterogeneous agents with relative degree one,” Automatica, vol. 156,
p. Article 111204, 2023, doi: doi: 10.1016/j.automatica.2023.111204 (open access).'
mla: 'Lee, J. G., et al. “Edge-Wise Funnel Output Synchronization of Heterogeneous
Agents with Relative Degree One.” Automatica, vol. 156, 2023, p. Article
111204, doi:doi: 10.1016/j.automatica.2023.111204 (open access).'
short: J.G. Lee, T. Berger, S. Trenn, H. Shim, Automatica 156 (2023) Article 111204.
date_created: 2024-04-03T09:56:35Z
date_updated: 2024-04-05T05:52:28Z
department:
- _id: '618'
doi: 'doi: 10.1016/j.automatica.2023.111204 (open access)'
intvolume: ' 156'
language:
- iso: eng
page: Article 111204
publication: Automatica
status: public
title: Edge-wise funnel output synchronization of heterogeneous agents with relative
degree one
type: journal_article
user_id: '77457'
volume: 156
year: '2023'
...
---
_id: '51101'
author:
- first_name: Gerda
full_name: Werth, Gerda
id: '578'
last_name: Werth
citation:
ama: 'Werth G. Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde
Vaertings. Springer Fachmedien Wiesbaden; 2023. doi:10.1007/978-3-658-42445-9'
apa: 'Werth, G. (2023). Neue Wege im mathematischen Unterricht: Auf den Spuren
Mathilde Vaertings. Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-42445-9'
bibtex: '@book{Werth_2023, place={Wiesbaden}, title={Neue Wege im mathematischen
Unterricht: Auf den Spuren Mathilde Vaertings}, DOI={10.1007/978-3-658-42445-9},
publisher={Springer Fachmedien Wiesbaden}, author={Werth, Gerda}, year={2023}
}'
chicago: 'Werth, Gerda. Neue Wege Im Mathematischen Unterricht: Auf Den Spuren
Mathilde Vaertings. Wiesbaden: Springer Fachmedien Wiesbaden, 2023. https://doi.org/10.1007/978-3-658-42445-9.'
ieee: 'G. Werth, Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde
Vaertings. Wiesbaden: Springer Fachmedien Wiesbaden, 2023.'
mla: 'Werth, Gerda. Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde
Vaertings. Springer Fachmedien Wiesbaden, 2023, doi:10.1007/978-3-658-42445-9.'
short: 'G. Werth, Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde
Vaertings, Springer Fachmedien Wiesbaden, Wiesbaden, 2023.'
date_created: 2024-01-31T13:08:37Z
date_updated: 2024-04-09T11:07:16Z
department:
- _id: '34'
- _id: '10'
- _id: '98'
- _id: '360'
doi: 10.1007/978-3-658-42445-9
language:
- iso: eng
place: Wiesbaden
publication_identifier:
isbn:
- '9783658424442'
- '9783658424459'
issn:
- 2661-8591
- 2661-8605
publication_status: published
publisher: Springer Fachmedien Wiesbaden
status: public
title: 'Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde Vaertings'
type: book
user_id: '578'
year: '2023'
...
---
_id: '51103'
author:
- first_name: Gerda
full_name: Werth, Gerda
id: '578'
last_name: Werth
citation:
ama: Werth G. Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings
Idee der Selbstständigkeitsprobe. mathematik lehren. 2023;241:15-19.
apa: Werth, G. (2023). Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings
Idee der Selbstständigkeitsprobe. mathematik lehren, 241, 15–19.
bibtex: '@article{Werth_2023, title={Standardkonstruktionen eigenständig entdecken.
Mathilde Vaertings Idee der Selbstständigkeitsprobe}, volume={241}, journal={mathematik
lehren}, publisher={Friedrich}, author={Werth, Gerda}, year={2023}, pages={15–19}
}'
chicago: 'Werth, Gerda. “Standardkonstruktionen eigenständig entdecken. Mathilde
Vaertings Idee der Selbstständigkeitsprobe.” mathematik lehren 241 (2023):
15–19.'
ieee: G. Werth, “Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings
Idee der Selbstständigkeitsprobe,” mathematik lehren, vol. 241, pp. 15–19,
2023.
mla: Werth, Gerda. “Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings
Idee der Selbstständigkeitsprobe.” mathematik lehren, vol. 241, Friedrich,
2023, pp. 15–19.
short: G. Werth, mathematik lehren 241 (2023) 15–19.
date_created: 2024-01-31T13:15:50Z
date_updated: 2024-04-09T09:19:05Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '360'
intvolume: ' 241'
language:
- iso: ger
page: 15-19
publication: mathematik lehren
publication_status: published
publisher: Friedrich
status: public
title: Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der
Selbstständigkeitsprobe
type: journal_article
user_id: '578'
volume: 241
year: '2023'
...
---
_id: '53404'
abstract:
- lang: eng
text: "In this short note we observe, on locally symmetric spaces of higher rank,
a\r\nconnection between the growth indicator function introduced by Quint and
the\r\nmodified critical exponent of the Poincar\\'e series equipped with the\r\npolyhedral
distance. As a consequence, we provide a different characterization\r\nof the
bottom of the $L^2$-spectrum of the Laplace-Beltrami operator in terms\r\nof the
growth indicator function. Moreover, we explore the relationship between\r\nthese
three objects and the temperedness."
author:
- first_name: Lasse L.
full_name: Wolf, Lasse L.
last_name: Wolf
- first_name: Hong-Wei
full_name: Zhang, Hong-Wei
last_name: Zhang
citation:
ama: Wolf LL, Zhang H-W. $L^2$-spectrum, growth indicator function and critical
exponent on locally symmetric spaces. arXiv:231111770. Published online
2023.
apa: Wolf, L. L., & Zhang, H.-W. (2023). $L^2$-spectrum, growth indicator function
and critical exponent on locally symmetric spaces. In arXiv:2311.11770.
bibtex: '@article{Wolf_Zhang_2023, title={$L^2$-spectrum, growth indicator function
and critical exponent on locally symmetric spaces}, journal={arXiv:2311.11770},
author={Wolf, Lasse L. and Zhang, Hong-Wei}, year={2023} }'
chicago: Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function
and Critical Exponent on Locally Symmetric Spaces.” ArXiv:2311.11770,
2023.
ieee: L. L. Wolf and H.-W. Zhang, “$L^2$-spectrum, growth indicator function and
critical exponent on locally symmetric spaces,” arXiv:2311.11770. 2023.
mla: Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function
and Critical Exponent on Locally Symmetric Spaces.” ArXiv:2311.11770,
2023.
short: L.L. Wolf, H.-W. Zhang, ArXiv:2311.11770 (2023).
date_created: 2024-04-10T13:45:59Z
date_updated: 2024-04-10T13:48:17Z
department:
- _id: '10'
- _id: '548'
external_id:
arxiv:
- '2311.11770'
language:
- iso: eng
publication: arXiv:2311.11770
status: public
title: $L^2$-spectrum, growth indicator function and critical exponent on locally
symmetric spaces
type: preprint
user_id: '45027'
year: '2023'
...
---
_id: '53410'
abstract:
- lang: eng
text: AbstractWe consider a geodesic billiard system
consisting of a complete Riemannian manifold and an obstacle submanifold with
boundary at which the trajectories of the geodesic flow experience specular reflections.
We show that if the geodesic billiard system is hyperbolic on its trapped set
and the latter is compact and non-grazing, the techniques for open hyperbolic
systems developed by Dyatlov and Guillarmou (Ann Henri Poincaré 17(11):3089–3146,
2016) can be applied to a smooth model for the discontinuous flow defined by the
non-grazing billiard trajectories. This allows us to obtain a meromorphic resolvent
for the generator of the billiard flow. As an application we prove a meromorphic
continuation of weighted zeta functions together with explicit residue formulae.
In particular, our results apply to scattering by convex obstacles in the Euclidean
plane.
author:
- first_name: Benjamin
full_name: Delarue, Benjamin
id: '70575'
last_name: Delarue
- first_name: Philipp
full_name: Schütte, Philipp
id: '50168'
last_name: Schütte
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Delarue B, Schütte P, Weich T. Resonances and Weighted Zeta Functions for Obstacle
Scattering via Smooth Models. Annales Henri Poincaré. 2023;25(2):1607-1656.
doi:10.1007/s00023-023-01379-x
apa: Delarue, B., Schütte, P., & Weich, T. (2023). Resonances and Weighted Zeta
Functions for Obstacle Scattering via Smooth Models. Annales Henri Poincaré,
25(2), 1607–1656. https://doi.org/10.1007/s00023-023-01379-x
bibtex: '@article{Delarue_Schütte_Weich_2023, title={Resonances and Weighted Zeta
Functions for Obstacle Scattering via Smooth Models}, volume={25}, DOI={10.1007/s00023-023-01379-x},
number={2}, journal={Annales Henri Poincaré}, publisher={Springer Science and
Business Media LLC}, author={Delarue, Benjamin and Schütte, Philipp and Weich,
Tobias}, year={2023}, pages={1607–1656} }'
chicago: 'Delarue, Benjamin, Philipp Schütte, and Tobias Weich. “Resonances and
Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” Annales
Henri Poincaré 25, no. 2 (2023): 1607–56. https://doi.org/10.1007/s00023-023-01379-x.'
ieee: 'B. Delarue, P. Schütte, and T. Weich, “Resonances and Weighted Zeta Functions
for Obstacle Scattering via Smooth Models,” Annales Henri Poincaré, vol.
25, no. 2, pp. 1607–1656, 2023, doi: 10.1007/s00023-023-01379-x.'
mla: Delarue, Benjamin, et al. “Resonances and Weighted Zeta Functions for Obstacle
Scattering via Smooth Models.” Annales Henri Poincaré, vol. 25, no. 2,
Springer Science and Business Media LLC, 2023, pp. 1607–56, doi:10.1007/s00023-023-01379-x.
short: B. Delarue, P. Schütte, T. Weich, Annales Henri Poincaré 25 (2023) 1607–1656.
date_created: 2024-04-11T12:30:14Z
date_updated: 2024-04-11T12:37:34Z
department:
- _id: '548'
doi: 10.1007/s00023-023-01379-x
intvolume: ' 25'
issue: '2'
keyword:
- Mathematical Physics
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 1607-1656
publication: Annales Henri Poincaré
publication_identifier:
issn:
- 1424-0637
- 1424-0661
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models
type: journal_article
user_id: '70575'
volume: 25
year: '2023'
...
---
_id: '53411'
abstract:
- lang: eng
text: "We compute a Riemann-Roch formula for the invariant Riemann-Roch number of
a\r\nquantizable Hamiltonian $S^1$-manifold $(M,\\omega,\\mathcal{J})$ in terms
of the\r\ngeometry of its symplectic quotient, allowing $0$ to be a singular value
of the\r\nmoment map $\\mathcal{J}:M\\to\\mathbb{R}$. The formula involves a new
explicit\r\nlocal invariant of the singularities. Our approach relies on a complete\r\nsingular
stationary phase expansion of the associated Witten integral."
author:
- first_name: Benjamin
full_name: Delarue, Benjamin
id: '70575'
last_name: Delarue
- first_name: Louis
full_name: Ioos, Louis
last_name: Ioos
- first_name: Pablo
full_name: Ramacher, Pablo
last_name: Ramacher
citation:
ama: Delarue B, Ioos L, Ramacher P. A Riemann-Roch formula for singular reductions
by circle actions. arXiv:230209894. Published online 2023.
apa: Delarue, B., Ioos, L., & Ramacher, P. (2023). A Riemann-Roch formula for
singular reductions by circle actions. In arXiv:2302.09894.
bibtex: '@article{Delarue_Ioos_Ramacher_2023, title={A Riemann-Roch formula for
singular reductions by circle actions}, journal={arXiv:2302.09894}, author={Delarue,
Benjamin and Ioos, Louis and Ramacher, Pablo}, year={2023} }'
chicago: Delarue, Benjamin, Louis Ioos, and Pablo Ramacher. “A Riemann-Roch Formula
for Singular Reductions by Circle Actions.” ArXiv:2302.09894, 2023.
ieee: B. Delarue, L. Ioos, and P. Ramacher, “A Riemann-Roch formula for singular
reductions by circle actions,” arXiv:2302.09894. 2023.
mla: Delarue, Benjamin, et al. “A Riemann-Roch Formula for Singular Reductions by
Circle Actions.” ArXiv:2302.09894, 2023.
short: B. Delarue, L. Ioos, P. Ramacher, ArXiv:2302.09894 (2023).
date_created: 2024-04-11T12:30:42Z
date_updated: 2024-04-11T12:37:09Z
department:
- _id: '548'
external_id:
arxiv:
- '2302.09894'
language:
- iso: eng
publication: arXiv:2302.09894
status: public
title: A Riemann-Roch formula for singular reductions by circle actions
type: preprint
user_id: '70575'
year: '2023'
...
---
_id: '53538'
abstract:
- lang: eng
text: AbstractWe study harmonic maps from a subset
of the complex plane to a subset of the hyperbolic plane. In Fotiadis and Daskaloyannis
(Nonlinear Anal 214, 112546, 2022), harmonic maps are related to the sinh-Gordon
equation and a Bäcklund transformation is introduced, which connects solutions
of the sinh-Gordon and sine-Gordon equation. We develop this machinery in order
to construct new harmonic maps to the hyperbolic plane.
author:
- first_name: G.
full_name: Polychrou, G.
last_name: Polychrou
- first_name: Efthymia
full_name: Papageorgiou, Efthymia
id: '100325'
last_name: Papageorgiou
- first_name: A.
full_name: Fotiadis, A.
last_name: Fotiadis
- first_name: C.
full_name: Daskaloyannis, C.
last_name: Daskaloyannis
citation:
ama: Polychrou G, Papageorgiou E, Fotiadis A, Daskaloyannis C. New examples of harmonic
maps to the hyperbolic plane via Bäcklund transformation. Revista Matemática
Complutense. Published online 2023. doi:10.1007/s13163-023-00476-z
apa: Polychrou, G., Papageorgiou, E., Fotiadis, A., & Daskaloyannis, C. (2023).
New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation.
Revista Matemática Complutense. https://doi.org/10.1007/s13163-023-00476-z
bibtex: '@article{Polychrou_Papageorgiou_Fotiadis_Daskaloyannis_2023, title={New
examples of harmonic maps to the hyperbolic plane via Bäcklund transformation},
DOI={10.1007/s13163-023-00476-z},
journal={Revista Matemática Complutense}, publisher={Springer Science and Business
Media LLC}, author={Polychrou, G. and Papageorgiou, Efthymia and Fotiadis, A.
and Daskaloyannis, C.}, year={2023} }'
chicago: Polychrou, G., Efthymia Papageorgiou, A. Fotiadis, and C. Daskaloyannis.
“New Examples of Harmonic Maps to the Hyperbolic Plane via Bäcklund Transformation.”
Revista Matemática Complutense, 2023. https://doi.org/10.1007/s13163-023-00476-z.
ieee: 'G. Polychrou, E. Papageorgiou, A. Fotiadis, and C. Daskaloyannis, “New examples
of harmonic maps to the hyperbolic plane via Bäcklund transformation,” Revista
Matemática Complutense, 2023, doi: 10.1007/s13163-023-00476-z.'
mla: Polychrou, G., et al. “New Examples of Harmonic Maps to the Hyperbolic Plane
via Bäcklund Transformation.” Revista Matemática Complutense, Springer
Science and Business Media LLC, 2023, doi:10.1007/s13163-023-00476-z.
short: G. Polychrou, E. Papageorgiou, A. Fotiadis, C. Daskaloyannis, Revista Matemática
Complutense (2023).
date_created: 2024-04-17T13:15:07Z
date_updated: 2024-04-17T13:15:51Z
department:
- _id: '555'
doi: 10.1007/s13163-023-00476-z
keyword:
- General Mathematics
language:
- iso: eng
publication: Revista Matemática Complutense
publication_identifier:
issn:
- 1139-1138
- 1988-2807
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation
type: journal_article
user_id: '100325'
year: '2023'
...
---
_id: '53565'
author:
- first_name: Imke
full_name: Schwerin, Imke
id: '48912'
last_name: Schwerin
citation:
ama: 'Schwerin I. Verdoppeln und Halbieren im Zahlenraum bis 100 - Erkenntnisse
einer Interviewstudie in Klasse 2. In: Mathematikdidaktik Grundschule.
University of Bamberg Press; 2023.'
apa: Schwerin, I. (2023). Verdoppeln und Halbieren im Zahlenraum bis 100 - Erkenntnisse
einer Interviewstudie in Klasse 2. In Mathematikdidaktik Grundschule. Herbsttagung
des Arbeitskreises Grundschule der Gesellschaft für Didaktik der Mathematik (GDM),
Bremen. University of Bamberg Press.
bibtex: '@inbook{Schwerin_2023, title={Verdoppeln und Halbieren im Zahlenraum bis
100 - Erkenntnisse einer Interviewstudie in Klasse 2}, booktitle={Mathematikdidaktik
Grundschule}, publisher={University of Bamberg Press}, author={Schwerin, Imke},
year={2023} }'
chicago: Schwerin, Imke. “Verdoppeln und Halbieren im Zahlenraum bis 100 - Erkenntnisse
einer Interviewstudie in Klasse 2.” In Mathematikdidaktik Grundschule.
University of Bamberg Press, 2023.
ieee: I. Schwerin, “Verdoppeln und Halbieren im Zahlenraum bis 100 - Erkenntnisse
einer Interviewstudie in Klasse 2,” in Mathematikdidaktik Grundschule,
University of Bamberg Press, 2023.
mla: Schwerin, Imke. “Verdoppeln und Halbieren im Zahlenraum bis 100 - Erkenntnisse
einer Interviewstudie in Klasse 2.” Mathematikdidaktik Grundschule, University
of Bamberg Press, 2023.
short: 'I. Schwerin, in: Mathematikdidaktik Grundschule, University of Bamberg Press,
2023.'
conference:
location: Bremen
name: Herbsttagung des Arbeitskreises Grundschule der Gesellschaft für Didaktik
der Mathematik (GDM)
date_created: 2024-04-17T20:33:45Z
date_updated: 2024-04-17T20:34:14Z
department:
- _id: '543'
language:
- iso: ger
publication: Mathematikdidaktik Grundschule
publication_status: published
publisher: University of Bamberg Press
status: public
title: Verdoppeln und Halbieren im Zahlenraum bis 100 - Erkenntnisse einer Interviewstudie
in Klasse 2
type: book_chapter
user_id: '44184'
year: '2023'
...
---
_id: '53439'
author:
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
- first_name: Sara Naseem
full_name: Malik, Sara Naseem
id: '38640'
last_name: Malik
- first_name: Markus
full_name: Leifeld, Markus
last_name: Leifeld
citation:
ama: 'Rezat S, Malik SN, Leifeld M. Mathematik – Lesen – Lernen: Ein Vorlesungskonzept
zur Förderung mathematischer Lesekompetenz. In: Beiträge Zum Mathematikunterricht
2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik Vom 29.08.2022
Bis 02.09.2022 in Frankfurt Am Main. WTM-Verlag; 2023:1125–1128. doi:10.17877/DE290R-23392'
apa: 'Rezat, S., Malik, S. N., & Leifeld, M. (2023). Mathematik – Lesen – Lernen:
Ein Vorlesungskonzept zur Förderung mathematischer Lesekompetenz. Beiträge
Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik Vom 29.08.2022 Bis 02.09.2022 in Frankfurt Am Main, 1125–1128.
https://doi.org/10.17877/DE290R-23392'
bibtex: '@inproceedings{Rezat_Malik_Leifeld_2023, place={Münster}, title={Mathematik
– Lesen – Lernen: Ein Vorlesungskonzept zur Förderung mathematischer Lesekompetenz},
DOI={10.17877/DE290R-23392},
booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik vom 29.08.2022 bis 02.09.2022 in Frankfurt am Main},
publisher={WTM-Verlag}, author={Rezat, Sebastian and Malik, Sara Naseem and Leifeld,
Markus}, year={2023}, pages={1125–1128} }'
chicago: 'Rezat, Sebastian, Sara Naseem Malik, and Markus Leifeld. “Mathematik –
Lesen – Lernen: Ein Vorlesungskonzept Zur Förderung Mathematischer Lesekompetenz.”
In Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft
Für Didaktik Der Mathematik Vom 29.08.2022 Bis 02.09.2022 in Frankfurt Am Main,
1125–1128. Münster: WTM-Verlag, 2023. https://doi.org/10.17877/DE290R-23392.'
ieee: 'S. Rezat, S. N. Malik, and M. Leifeld, “Mathematik – Lesen – Lernen: Ein
Vorlesungskonzept zur Förderung mathematischer Lesekompetenz,” in Beiträge
zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik
der Mathematik vom 29.08.2022 bis 02.09.2022 in Frankfurt am Main, 2023,
pp. 1125–1128, doi: 10.17877/DE290R-23392.'
mla: 'Rezat, Sebastian, et al. “Mathematik – Lesen – Lernen: Ein Vorlesungskonzept
Zur Förderung Mathematischer Lesekompetenz.” Beiträge Zum Mathematikunterricht
2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik Vom 29.08.2022
Bis 02.09.2022 in Frankfurt Am Main, WTM-Verlag, 2023, pp. 1125–1128, doi:10.17877/DE290R-23392.'
short: 'S. Rezat, S.N. Malik, M. Leifeld, in: Beiträge Zum Mathematikunterricht
2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik Vom 29.08.2022
Bis 02.09.2022 in Frankfurt Am Main, WTM-Verlag, Münster, 2023, pp. 1125–1128.'
date_created: 2024-04-12T07:01:10Z
date_updated: 2024-04-18T08:08:35Z
ddc:
- '370'
- '510'
department:
- _id: '360'
doi: 10.17877/DE290R-23392
file:
- access_level: closed
content_type: application/pdf
creator: srezat
date_created: 2024-04-12T07:03:22Z
date_updated: 2024-04-12T07:03:22Z
file_id: '53440'
file_name: BzMU22_1125.pdf
file_size: 29247
relation: main_file
success: 1
file_date_updated: 2024-04-12T07:03:22Z
has_accepted_license: '1'
language:
- iso: eng
page: 1125–1128
place: Münster
publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik vom 29.08.2022 bis 02.09.2022 in Frankfurt am Main
publisher: WTM-Verlag
status: public
title: 'Mathematik – Lesen – Lernen: Ein Vorlesungskonzept zur Förderung mathematischer
Lesekompetenz'
type: conference
user_id: '31132'
year: '2023'
...
---
_id: '53441'
author:
- first_name: Markus
full_name: Leifeld, Markus
last_name: Leifeld
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
citation:
ama: 'Leifeld M, Rezat S. Verstehen schriftlicher Rechenverfahren durch algorithmisches
Denken am Beispiel der schriftlichen Subtraktion. In: Beiträge Zum Mathematikunterricht
2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik Vom 29.08.2022
Bis 02.09.2022 in Frankfurt Am Main. WTM-Verlag; 2023:993–996. doi:10.17877/DE290R-23760'
apa: Leifeld, M., & Rezat, S. (2023). Verstehen schriftlicher Rechenverfahren
durch algorithmisches Denken am Beispiel der schriftlichen Subtraktion. Beiträge
Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik Vom 29.08.2022 Bis 02.09.2022 in Frankfurt Am Main, 993–996.
https://doi.org/10.17877/DE290R-23760
bibtex: '@inproceedings{Leifeld_Rezat_2023, place={Münster}, title={Verstehen schriftlicher
Rechenverfahren durch algorithmisches Denken am Beispiel der schriftlichen Subtraktion},
DOI={10.17877/DE290R-23760},
booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik vom 29.08.2022 bis 02.09.2022 in Frankfurt am Main},
publisher={WTM-Verlag}, author={Leifeld, Markus and Rezat, Sebastian}, year={2023},
pages={993–996} }'
chicago: 'Leifeld, Markus, and Sebastian Rezat. “Verstehen Schriftlicher Rechenverfahren
Durch Algorithmisches Denken Am Beispiel Der Schriftlichen Subtraktion.” In Beiträge
Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik Vom 29.08.2022 Bis 02.09.2022 in Frankfurt Am Main, 993–996.
Münster: WTM-Verlag, 2023. https://doi.org/10.17877/DE290R-23760.'
ieee: 'M. Leifeld and S. Rezat, “Verstehen schriftlicher Rechenverfahren durch algorithmisches
Denken am Beispiel der schriftlichen Subtraktion,” in Beiträge zum Mathematikunterricht
2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik vom 29.08.2022
bis 02.09.2022 in Frankfurt am Main, 2023, pp. 993–996, doi: 10.17877/DE290R-23760.'
mla: Leifeld, Markus, and Sebastian Rezat. “Verstehen Schriftlicher Rechenverfahren
Durch Algorithmisches Denken Am Beispiel Der Schriftlichen Subtraktion.” Beiträge
Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik Vom 29.08.2022 Bis 02.09.2022 in Frankfurt Am Main, WTM-Verlag,
2023, pp. 993–996, doi:10.17877/DE290R-23760.
short: 'M. Leifeld, S. Rezat, in: Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung
Der Gesellschaft Für Didaktik Der Mathematik Vom 29.08.2022 Bis 02.09.2022 in
Frankfurt Am Main, WTM-Verlag, Münster, 2023, pp. 993–996.'
date_created: 2024-04-12T07:12:31Z
date_updated: 2024-04-18T08:05:33Z
ddc:
- '370'
- '510'
department:
- _id: '360'
doi: 10.17877/DE290R-23760
file:
- access_level: closed
content_type: application/pdf
creator: srezat
date_created: 2024-04-12T07:14:31Z
date_updated: 2024-04-12T07:14:31Z
file_id: '53442'
file_name: BzMU22_993-2.pdf
file_size: 29743
relation: main_file
success: 1
file_date_updated: 2024-04-12T07:14:31Z
has_accepted_license: '1'
language:
- iso: eng
page: 993–996
place: Münster
publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik vom 29.08.2022 bis 02.09.2022 in Frankfurt am Main
publisher: WTM-Verlag
status: public
title: Verstehen schriftlicher Rechenverfahren durch algorithmisches Denken am Beispiel
der schriftlichen Subtraktion
type: conference
user_id: '31132'
year: '2023'
...
---
_id: '53475'
author:
- first_name: Sara Naseem
full_name: Malik, Sara Naseem
id: '38640'
last_name: Malik
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
citation:
ama: 'Malik SN, Rezat S. Herausforderungen anwendungsbezogener Aufgaben - eine curriculare
Perspektive auf den Forschungsstand. In: Beiträge Zum Mathematikunterricht
2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik Vom 29.08.2022
Bis 02.09.2022 in Frankfurt Am Main. WTM-Verlag; 2023. doi:10.17877/DE290R-23380'
apa: Malik, S. N., & Rezat, S. (2023). Herausforderungen anwendungsbezogener
Aufgaben - eine curriculare Perspektive auf den Forschungsstand. Beiträge Zum
Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der
Mathematik Vom 29.08.2022 Bis 02.09.2022 in Frankfurt Am Main. https://doi.org/10.17877/DE290R-23380
bibtex: '@inproceedings{Malik_Rezat_2023, place={Münster}, title={Herausforderungen
anwendungsbezogener Aufgaben - eine curriculare Perspektive auf den Forschungsstand},
DOI={10.17877/DE290R-23380},
booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik vom 29.08.2022 bis 02.09.2022 in Frankfurt am Main},
publisher={WTM-Verlag}, author={Malik, Sara Naseem and Rezat, Sebastian}, year={2023}
}'
chicago: 'Malik, Sara Naseem, and Sebastian Rezat. “Herausforderungen Anwendungsbezogener
Aufgaben - Eine Curriculare Perspektive Auf Den Forschungsstand.” In Beiträge
Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik Vom 29.08.2022 Bis 02.09.2022 in Frankfurt Am Main. Münster:
WTM-Verlag, 2023. https://doi.org/10.17877/DE290R-23380.'
ieee: 'S. N. Malik and S. Rezat, “Herausforderungen anwendungsbezogener Aufgaben
- eine curriculare Perspektive auf den Forschungsstand,” 2023, doi: 10.17877/DE290R-23380.'
mla: Malik, Sara Naseem, and Sebastian Rezat. “Herausforderungen Anwendungsbezogener
Aufgaben - Eine Curriculare Perspektive Auf Den Forschungsstand.” Beiträge
Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik Vom 29.08.2022 Bis 02.09.2022 in Frankfurt Am Main, WTM-Verlag,
2023, doi:10.17877/DE290R-23380.
short: 'S.N. Malik, S. Rezat, in: Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung
Der Gesellschaft Für Didaktik Der Mathematik Vom 29.08.2022 Bis 02.09.2022 in
Frankfurt Am Main, WTM-Verlag, Münster, 2023.'
date_created: 2024-04-14T11:51:58Z
date_updated: 2024-04-18T08:04:52Z
ddc:
- '370'
- '510'
department:
- _id: '360'
doi: 10.17877/DE290R-23380
file:
- access_level: closed
content_type: application/pdf
creator: smalik
date_created: 2024-04-14T11:50:42Z
date_updated: 2024-04-14T11:50:42Z
file_id: '53476'
file_name: BzMU22_1029.pdf
file_size: 30719
relation: main_file
success: 1
file_date_updated: 2024-04-14T11:50:42Z
has_accepted_license: '1'
language:
- iso: eng
place: Münster
publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik vom 29.08.2022 bis 02.09.2022 in Frankfurt am Main
publisher: WTM-Verlag
status: public
title: Herausforderungen anwendungsbezogener Aufgaben - eine curriculare Perspektive
auf den Forschungsstand
type: conference
user_id: '31132'
year: '2023'
...
---
_id: '46987'
author:
- first_name: Birgit
full_name: Pepin, Birgit
last_name: Pepin
- first_name: Zeger-jan
full_name: Kock, Zeger-jan
last_name: Kock
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
citation:
ama: 'Pepin B, Kock Z, Rezat S. Toward student agency in the selection and use of
digital resources for learning and studying mathematics. In: Pepin B, Gueudet
G, Choppin J, eds. Handbook of Digital Resources in Mathematics Education.
Springer International Publishing; 2023:1–28. doi:10.1007/978-3-030-95060-6_26-1'
apa: Pepin, B., Kock, Z., & Rezat, S. (2023). Toward student agency in the selection
and use of digital resources for learning and studying mathematics. In B. Pepin,
G. Gueudet, & J. Choppin (Eds.), Handbook of Digital Resources in Mathematics
Education (pp. 1–28). Springer International Publishing. https://doi.org/10.1007/978-3-030-95060-6_26-1
bibtex: '@inbook{Pepin_Kock_Rezat_2023, place={Cham}, title={Toward student agency
in the selection and use of digital resources for learning and studying mathematics},
DOI={10.1007/978-3-030-95060-6_26-1},
booktitle={Handbook of Digital Resources in Mathematics Education}, publisher={Springer
International Publishing}, author={Pepin, Birgit and Kock, Zeger-jan and Rezat,
Sebastian}, editor={Pepin, Birgit and Gueudet, Ghislaine and Choppin, Jeff}, year={2023},
pages={1–28} }'
chicago: 'Pepin, Birgit, Zeger-jan Kock, and Sebastian Rezat. “Toward Student Agency
in the Selection and Use of Digital Resources for Learning and Studying Mathematics.”
In Handbook of Digital Resources in Mathematics Education, edited by Birgit
Pepin, Ghislaine Gueudet, and Jeff Choppin, 1–28. Cham: Springer International
Publishing, 2023. https://doi.org/10.1007/978-3-030-95060-6_26-1.'
ieee: 'B. Pepin, Z. Kock, and S. Rezat, “Toward student agency in the selection
and use of digital resources for learning and studying mathematics,” in Handbook
of Digital Resources in Mathematics Education, B. Pepin, G. Gueudet, and J.
Choppin, Eds. Cham: Springer International Publishing, 2023, pp. 1–28.'
mla: Pepin, Birgit, et al. “Toward Student Agency in the Selection and Use of Digital
Resources for Learning and Studying Mathematics.” Handbook of Digital Resources
in Mathematics Education, edited by Birgit Pepin et al., Springer International
Publishing, 2023, pp. 1–28, doi:10.1007/978-3-030-95060-6_26-1.
short: 'B. Pepin, Z. Kock, S. Rezat, in: B. Pepin, G. Gueudet, J. Choppin (Eds.),
Handbook of Digital Resources in Mathematics Education, Springer International
Publishing, Cham, 2023, pp. 1–28.'
date_created: 2023-09-12T15:58:40Z
date_updated: 2024-04-18T08:07:51Z
department:
- _id: '360'
doi: 10.1007/978-3-030-95060-6_26-1
editor:
- first_name: Birgit
full_name: Pepin, Birgit
last_name: Pepin
- first_name: Ghislaine
full_name: Gueudet, Ghislaine
last_name: Gueudet
- first_name: Jeff
full_name: Choppin, Jeff
last_name: Choppin
language:
- iso: eng
page: 1–28
place: Cham
publication: Handbook of Digital Resources in Mathematics Education
publication_identifier:
isbn:
- '9783030950606'
- '9783030950606'
issn:
- 2197-1951
- 2197-196X
publication_status: published
publisher: Springer International Publishing
status: public
title: Toward student agency in the selection and use of digital resources for learning
and studying mathematics
type: book_chapter
user_id: '31132'
year: '2023'
...
---
_id: '48067'
author:
- first_name: Ghislaine
full_name: Gueudet, Ghislaine
last_name: Gueudet
- first_name: Birgit
full_name: Pepin, Birgit
last_name: Pepin
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
citation:
ama: 'Gueudet G, Pepin B, Rezat S. Meta-Resources: Supporting the design of mathematics
teaching and learning. In: Pepin B, Gueudet G, Choppin J, eds. Handbook of
Digital Resources in Mathematics Education. Springer International Publishing;
2023. doi:10.1007/978-3-030-95060-6_36-1'
apa: 'Gueudet, G., Pepin, B., & Rezat, S. (2023). Meta-Resources: Supporting
the design of mathematics teaching and learning. In B. Pepin, G. Gueudet, &
J. Choppin (Eds.), Handbook of Digital Resources in Mathematics Education.
Springer International Publishing. https://doi.org/10.1007/978-3-030-95060-6_36-1'
bibtex: '@inbook{Gueudet_Pepin_Rezat_2023, place={Cham}, title={Meta-Resources:
Supporting the design of mathematics teaching and learning}, DOI={10.1007/978-3-030-95060-6_36-1},
booktitle={Handbook of Digital Resources in Mathematics Education}, publisher={Springer
International Publishing}, author={Gueudet, Ghislaine and Pepin, Birgit and Rezat,
Sebastian}, editor={Pepin, Birgit and Gueudet, Ghislaine and Choppin, Jeffrey},
year={2023} }'
chicago: 'Gueudet, Ghislaine, Birgit Pepin, and Sebastian Rezat. “Meta-Resources:
Supporting the Design of Mathematics Teaching and Learning.” In Handbook of
Digital Resources in Mathematics Education, edited by Birgit Pepin, Ghislaine
Gueudet, and Jeffrey Choppin. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-030-95060-6_36-1.'
ieee: 'G. Gueudet, B. Pepin, and S. Rezat, “Meta-Resources: Supporting the design
of mathematics teaching and learning,” in Handbook of Digital Resources in
Mathematics Education, B. Pepin, G. Gueudet, and J. Choppin, Eds. Cham: Springer
International Publishing, 2023.'
mla: 'Gueudet, Ghislaine, et al. “Meta-Resources: Supporting the Design of Mathematics
Teaching and Learning.” Handbook of Digital Resources in Mathematics Education,
edited by Birgit Pepin et al., Springer International Publishing, 2023, doi:10.1007/978-3-030-95060-6_36-1.'
short: 'G. Gueudet, B. Pepin, S. Rezat, in: B. Pepin, G. Gueudet, J. Choppin (Eds.),
Handbook of Digital Resources in Mathematics Education, Springer International
Publishing, Cham, 2023.'
date_created: 2023-10-16T06:03:08Z
date_updated: 2024-04-18T08:06:51Z
department:
- _id: '360'
doi: 10.1007/978-3-030-95060-6_36-1
editor:
- first_name: Birgit
full_name: Pepin, Birgit
last_name: Pepin
- first_name: Ghislaine
full_name: Gueudet, Ghislaine
last_name: Gueudet
- first_name: Jeffrey
full_name: Choppin, Jeffrey
last_name: Choppin
language:
- iso: eng
place: Cham
publication: Handbook of Digital Resources in Mathematics Education
publication_identifier:
isbn:
- '9783030950606'
- '9783030950606'
issn:
- 2197-1951
- 2197-196X
publication_status: published
publisher: Springer International Publishing
status: public
title: 'Meta-Resources: Supporting the design of mathematics teaching and learning'
type: book_chapter
user_id: '31132'
year: '2023'
...
---
_id: '49684'
author:
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
- first_name: Vince
full_name: Geiger, Vince
last_name: Geiger
citation:
ama: 'Rezat S, Geiger V. The role of digital technologies in transforming student
learning landscapes. In: Pepin B, Gueudet G, Choppin J, eds. Handbook of Digital
Resources in Mathematics Education. Springer International Publishing; 2023.
doi:10.1007/978-3-030-95060-6_21-1'
apa: Rezat, S., & Geiger, V. (2023). The role of digital technologies in transforming
student learning landscapes. In B. Pepin, G. Gueudet, & J. Choppin (Eds.),
Handbook of Digital Resources in Mathematics Education. Springer International
Publishing. https://doi.org/10.1007/978-3-030-95060-6_21-1
bibtex: '@inbook{Rezat_Geiger_2023, place={Cham}, title={The role of digital technologies
in transforming student learning landscapes}, DOI={10.1007/978-3-030-95060-6_21-1},
booktitle={Handbook of Digital Resources in Mathematics Education}, publisher={Springer
International Publishing}, author={Rezat, Sebastian and Geiger, Vince}, editor={Pepin,
Birgit and Gueudet, Ghislaine and Choppin, Jeffrey}, year={2023} }'
chicago: 'Rezat, Sebastian, and Vince Geiger. “The Role of Digital Technologies
in Transforming Student Learning Landscapes.” In Handbook of Digital Resources
in Mathematics Education, edited by Birgit Pepin, Ghislaine Gueudet, and Jeffrey
Choppin. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-030-95060-6_21-1.'
ieee: 'S. Rezat and V. Geiger, “The role of digital technologies in transforming
student learning landscapes,” in Handbook of Digital Resources in Mathematics
Education, B. Pepin, G. Gueudet, and J. Choppin, Eds. Cham: Springer International
Publishing, 2023.'
mla: Rezat, Sebastian, and Vince Geiger. “The Role of Digital Technologies in Transforming
Student Learning Landscapes.” Handbook of Digital Resources in Mathematics
Education, edited by Birgit Pepin et al., Springer International Publishing,
2023, doi:10.1007/978-3-030-95060-6_21-1.
short: 'S. Rezat, V. Geiger, in: B. Pepin, G. Gueudet, J. Choppin (Eds.), Handbook
of Digital Resources in Mathematics Education, Springer International Publishing,
Cham, 2023.'
date_created: 2023-12-15T11:56:25Z
date_updated: 2024-04-18T08:22:03Z
department:
- _id: '360'
doi: 10.1007/978-3-030-95060-6_21-1
editor:
- first_name: Birgit
full_name: Pepin, Birgit
last_name: Pepin
- first_name: Ghislaine
full_name: Gueudet, Ghislaine
last_name: Gueudet
- first_name: Jeffrey
full_name: Choppin, Jeffrey
last_name: Choppin
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/978-3-030-95060-6_21-1
oa: '1'
place: Cham
publication: Handbook of Digital Resources in Mathematics Education
publication_identifier:
isbn:
- '9783030950606'
- '9783030950606'
issn:
- 2197-1951
- 2197-196X
publication_status: published
publisher: Springer International Publishing
quality_controlled: '1'
status: public
title: The role of digital technologies in transforming student learning landscapes
type: book_chapter
user_id: '31132'
year: '2023'
...
---
_id: '46956'
author:
- first_name: Mathias
full_name: Hattermann, Mathias
last_name: Hattermann
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
- first_name: Rudolf
full_name: Sträßer, Rudolf
last_name: Sträßer
citation:
ama: 'Hattermann M, Rezat S, Sträßer R. Geometrie: Leitidee Raum und Form. In: Handbuch
Der Mathematikdidaktik. Springer; 2023:201–242. doi:10.1007/978-3-662-66604-3_7'
apa: 'Hattermann, M., Rezat, S., & Sträßer, R. (2023). Geometrie: Leitidee Raum
und Form. In Handbuch der Mathematikdidaktik (pp. 201–242). Springer. https://doi.org/10.1007/978-3-662-66604-3_7'
bibtex: '@inbook{Hattermann_Rezat_Sträßer_2023, place={Berlin, Heidelberg}, title={Geometrie:
Leitidee Raum und Form}, DOI={10.1007/978-3-662-66604-3_7},
booktitle={Handbuch der Mathematikdidaktik}, publisher={Springer}, author={Hattermann,
Mathias and Rezat, Sebastian and Sträßer, Rudolf}, year={2023}, pages={201–242}
}'
chicago: 'Hattermann, Mathias, Sebastian Rezat, and Rudolf Sträßer. “Geometrie:
Leitidee Raum Und Form.” In Handbuch Der Mathematikdidaktik, 201–242. Berlin,
Heidelberg: Springer, 2023. https://doi.org/10.1007/978-3-662-66604-3_7.'
ieee: 'M. Hattermann, S. Rezat, and R. Sträßer, “Geometrie: Leitidee Raum und Form,”
in Handbuch der Mathematikdidaktik, Berlin, Heidelberg: Springer, 2023,
pp. 201–242.'
mla: 'Hattermann, Mathias, et al. “Geometrie: Leitidee Raum Und Form.” Handbuch
Der Mathematikdidaktik, Springer, 2023, pp. 201–242, doi:10.1007/978-3-662-66604-3_7.'
short: 'M. Hattermann, S. Rezat, R. Sträßer, in: Handbuch Der Mathematikdidaktik,
Springer, Berlin, Heidelberg, 2023, pp. 201–242.'
date_created: 2023-09-11T06:30:49Z
date_updated: 2024-04-18T08:19:52Z
department:
- _id: '360'
doi: 10.1007/978-3-662-66604-3_7
language:
- iso: eng
page: 201–242
place: Berlin, Heidelberg
publication: Handbuch der Mathematikdidaktik
publication_identifier:
isbn:
- '9783662666036'
- '9783662666043'
publication_status: published
publisher: Springer
status: public
title: 'Geometrie: Leitidee Raum und Form'
type: book_chapter
user_id: '31132'
year: '2023'
...
---
_id: '45786'
abstract:
- lang: eng
text: Intending to counteract Klein’s second discontinuity in teacher education,
we explored and applied the innovation of “interface ePortfolio” in the context
of a geometry course for preservice teachers (PSTs). The tool offers the possibility
of implementing the design principle of profession orientation. 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.
article_type: original
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: Hoffmann M, Biehler R. 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. ZDM – Mathematics
Education. Published online 2023. doi:10.1007/s11858-023-01505-3
apa: Hoffmann, M., & Biehler, R. (2023). 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.
ZDM – Mathematics Education. https://doi.org/10.1007/s11858-023-01505-3
bibtex: '@article{Hoffmann_Biehler_2023, 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},
journal={ZDM – Mathematics Education}, publisher={Springer}, author={Hoffmann,
Max and Biehler, Rolf}, year={2023} }'
chicago: Hoffmann, Max, and Rolf Biehler. “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.” ZDM
– Mathematics Education, 2023. https://doi.org/10.1007/s11858-023-01505-3.
ieee: 'M. Hoffmann and R. Biehler, “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,” ZDM – Mathematics
Education, 2023, doi: 10.1007/s11858-023-01505-3.'
mla: Hoffmann, Max, and Rolf Biehler. “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.” ZDM
– Mathematics Education, Springer, 2023, doi:10.1007/s11858-023-01505-3.
short: M. Hoffmann, R. Biehler, ZDM – Mathematics Education (2023).
date_created: 2023-06-27T11:45:25Z
date_updated: 2024-04-18T09:01:29Z
ddc:
- '510'
- '370'
department:
- _id: '643'
doi: 10.1007/s11858-023-01505-3
file:
- access_level: closed
content_type: application/pdf
creator: maxh
date_created: 2023-07-13T09:40:02Z
date_updated: 2023-07-13T09:40:02Z
file_id: '46041'
file_name: s11858-023-01505-3.pdf
file_size: 1460246
relation: main_file
success: 1
file_date_updated: 2023-07-13T09:40:02Z
has_accepted_license: '1'
keyword:
- General Mathematics
- Education
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/article/10.1007/s11858-023-01505-3
oa: '1'
publication: ZDM – Mathematics Education
publication_identifier:
issn:
- 1863-9690
- 1863-9704
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
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
type: journal_article
user_id: '37888'
year: '2023'
...
---
_id: '48319'
author:
- first_name: Dominik
full_name: Leiss, Dominik
last_name: Leiss
- first_name: Kerstin
full_name: Gerlach, Kerstin
last_name: Gerlach
- first_name: Lena
full_name: Wessel, Lena
id: '85190'
last_name: Wessel
- first_name: Barbara
full_name: Schmidt-Thieme, Barbara
last_name: Schmidt-Thieme
citation:
ama: 'Leiss D, Gerlach K, Wessel L, Schmidt-Thieme B. Sprache und Mathematiklernen.
In: Handbuch der Mathematikdidaktik. Springer Berlin Heidelberg; 2023:561-595.
doi:10.1007/978-3-662-66604-3_18'
apa: Leiss, D., Gerlach, K., Wessel, L., & Schmidt-Thieme, B. (2023). Sprache
und Mathematiklernen. In Handbuch der Mathematikdidaktik (pp. 561–595).
Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-66604-3_18
bibtex: '@inbook{Leiss_Gerlach_Wessel_Schmidt-Thieme_2023, place={Berlin, Heidelberg},
title={Sprache und Mathematiklernen}, DOI={10.1007/978-3-662-66604-3_18},
booktitle={Handbuch der Mathematikdidaktik}, publisher={Springer Berlin Heidelberg},
author={Leiss, Dominik and Gerlach, Kerstin and Wessel, Lena and Schmidt-Thieme,
Barbara}, year={2023}, pages={561–595} }'
chicago: 'Leiss, Dominik, Kerstin Gerlach, Lena Wessel, and Barbara Schmidt-Thieme.
“Sprache und Mathematiklernen.” In Handbuch der Mathematikdidaktik, 561–95.
Berlin, Heidelberg: Springer Berlin Heidelberg, 2023. https://doi.org/10.1007/978-3-662-66604-3_18.'
ieee: 'D. Leiss, K. Gerlach, L. Wessel, and B. Schmidt-Thieme, “Sprache und Mathematiklernen,”
in Handbuch der Mathematikdidaktik, Berlin, Heidelberg: Springer Berlin
Heidelberg, 2023, pp. 561–595.'
mla: Leiss, Dominik, et al. “Sprache und Mathematiklernen.” Handbuch der Mathematikdidaktik,
Springer Berlin Heidelberg, 2023, pp. 561–95, doi:10.1007/978-3-662-66604-3_18.
short: 'D. Leiss, K. Gerlach, L. Wessel, B. Schmidt-Thieme, in: Handbuch der Mathematikdidaktik,
Springer Berlin Heidelberg, Berlin, Heidelberg, 2023, pp. 561–595.'
date_created: 2023-10-19T09:12:45Z
date_updated: 2024-04-18T09:04:54Z
department:
- _id: '643'
doi: 10.1007/978-3-662-66604-3_18
language:
- iso: ger
page: 561-595
place: Berlin, Heidelberg
publication: Handbuch der Mathematikdidaktik
publication_identifier:
isbn:
- '9783662666036'
- '9783662666043'
publication_status: published
publisher: Springer Berlin Heidelberg
status: public
title: Sprache und Mathematiklernen
type: book_chapter
user_id: '37888'
year: '2023'
...