---
_id: '33493'
abstract:
- lang: eng
text: "Electronic structure calculations have been instrumental in providing many\r\nimportant
insights into a range of physical and chemical properties of various\r\nmolecular
and solid-state systems. Their importance to various fields,\r\nincluding materials
science, chemical sciences, computational chemistry and\r\ndevice physics, is
underscored by the large fraction of available public\r\nsupercomputing resources
devoted to these calculations. As we enter the\r\nexascale era, exciting new opportunities
to increase simulation numbers, sizes,\r\nand accuracies present themselves. In
order to realize these promises, the\r\ncommunity of electronic structure software
developers will however first have\r\nto tackle a number of challenges pertaining
to the efficient use of new\r\narchitectures that will rely heavily on massive
parallelism and hardware\r\naccelerators. This roadmap provides a broad overview
of the state-of-the-art in\r\nelectronic structure calculations and of the various
new directions being\r\npursued by the community. It covers 14 electronic structure
codes, presenting\r\ntheir current status, their development priorities over the
next five years,\r\nand their plans towards tackling the challenges and leveraging
the\r\nopportunities presented by the advent of exascale computing."
author:
- first_name: Vikram
full_name: Gavini, Vikram
last_name: Gavini
- first_name: Stefano
full_name: Baroni, Stefano
last_name: Baroni
- first_name: Volker
full_name: Blum, Volker
last_name: Blum
- first_name: David R.
full_name: Bowler, David R.
last_name: Bowler
- first_name: Alexander
full_name: Buccheri, Alexander
last_name: Buccheri
- first_name: James R.
full_name: Chelikowsky, James R.
last_name: Chelikowsky
- first_name: Sambit
full_name: Das, Sambit
last_name: Das
- first_name: William
full_name: Dawson, William
last_name: Dawson
- first_name: Pietro
full_name: Delugas, Pietro
last_name: Delugas
- first_name: Mehmet
full_name: Dogan, Mehmet
last_name: Dogan
- first_name: Claudia
full_name: Draxl, Claudia
last_name: Draxl
- first_name: Giulia
full_name: Galli, Giulia
last_name: Galli
- first_name: Luigi
full_name: Genovese, Luigi
last_name: Genovese
- first_name: Paolo
full_name: Giannozzi, Paolo
last_name: Giannozzi
- first_name: Matteo
full_name: Giantomassi, Matteo
last_name: Giantomassi
- first_name: Xavier
full_name: Gonze, Xavier
last_name: Gonze
- first_name: Marco
full_name: Govoni, Marco
last_name: Govoni
- first_name: Andris
full_name: Gulans, Andris
last_name: Gulans
- first_name: François
full_name: Gygi, François
last_name: Gygi
- first_name: John M.
full_name: Herbert, John M.
last_name: Herbert
- first_name: Sebastian
full_name: Kokott, Sebastian
last_name: Kokott
- first_name: Thomas
full_name: Kühne, Thomas
id: '49079'
last_name: Kühne
- first_name: Kai-Hsin
full_name: Liou, Kai-Hsin
last_name: Liou
- first_name: Tsuyoshi
full_name: Miyazaki, Tsuyoshi
last_name: Miyazaki
- first_name: Phani
full_name: Motamarri, Phani
last_name: Motamarri
- first_name: Ayako
full_name: Nakata, Ayako
last_name: Nakata
- first_name: John E.
full_name: Pask, John E.
last_name: Pask
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
- first_name: Laura E.
full_name: Ratcliff, Laura E.
last_name: Ratcliff
- first_name: Ryan M.
full_name: Richard, Ryan M.
last_name: Richard
- first_name: Mariana
full_name: Rossi, Mariana
last_name: Rossi
- first_name: Robert
full_name: Schade, Robert
id: '75963'
last_name: Schade
orcid: 0000-0002-6268-539
- first_name: Matthias
full_name: Scheffler, Matthias
last_name: Scheffler
- first_name: Ole
full_name: Schütt, Ole
last_name: Schütt
- first_name: Phanish
full_name: Suryanarayana, Phanish
last_name: Suryanarayana
- first_name: Marc
full_name: Torrent, Marc
last_name: Torrent
- first_name: Lionel
full_name: Truflandier, Lionel
last_name: Truflandier
- first_name: Theresa L.
full_name: Windus, Theresa L.
last_name: Windus
- first_name: Qimen
full_name: Xu, Qimen
last_name: Xu
- first_name: Victor W. -Z.
full_name: Yu, Victor W. -Z.
last_name: Yu
- first_name: Danny
full_name: Perez, Danny
last_name: Perez
citation:
ama: Gavini V, Baroni S, Blum V, et al. Roadmap on Electronic Structure Codes in
the Exascale Era. arXiv:220912747. Published online 2022.
apa: Gavini, V., Baroni, S., Blum, V., Bowler, D. R., Buccheri, A., Chelikowsky,
J. R., Das, S., Dawson, W., Delugas, P., Dogan, M., Draxl, C., Galli, G., Genovese,
L., Giannozzi, P., Giantomassi, M., Gonze, X., Govoni, M., Gulans, A., Gygi, F.,
… Perez, D. (2022). Roadmap on Electronic Structure Codes in the Exascale Era.
In arXiv:2209.12747.
bibtex: '@article{Gavini_Baroni_Blum_Bowler_Buccheri_Chelikowsky_Das_Dawson_Delugas_Dogan_et
al._2022, title={Roadmap on Electronic Structure Codes in the Exascale Era}, journal={arXiv:2209.12747},
author={Gavini, Vikram and Baroni, Stefano and Blum, Volker and Bowler, David
R. and Buccheri, Alexander and Chelikowsky, James R. and Das, Sambit and Dawson,
William and Delugas, Pietro and Dogan, Mehmet and et al.}, year={2022} }'
chicago: Gavini, Vikram, Stefano Baroni, Volker Blum, David R. Bowler, Alexander
Buccheri, James R. Chelikowsky, Sambit Das, et al. “Roadmap on Electronic Structure
Codes in the Exascale Era.” ArXiv:2209.12747, 2022.
ieee: V. Gavini et al., “Roadmap on Electronic Structure Codes in the Exascale
Era,” arXiv:2209.12747. 2022.
mla: Gavini, Vikram, et al. “Roadmap on Electronic Structure Codes in the Exascale
Era.” ArXiv:2209.12747, 2022.
short: V. Gavini, S. Baroni, V. Blum, D.R. Bowler, A. Buccheri, J.R. Chelikowsky,
S. Das, W. Dawson, P. Delugas, M. Dogan, C. Draxl, G. Galli, L. Genovese, P. Giannozzi,
M. Giantomassi, X. Gonze, M. Govoni, A. Gulans, F. Gygi, J.M. Herbert, S. Kokott,
T. Kühne, K.-H. Liou, T. Miyazaki, P. Motamarri, A. Nakata, J.E. Pask, C. Plessl,
L.E. Ratcliff, R.M. Richard, M. Rossi, R. Schade, M. Scheffler, O. Schütt, P.
Suryanarayana, M. Torrent, L. Truflandier, T.L. Windus, Q. Xu, V.W.-Z. Yu, D.
Perez, ArXiv:2209.12747 (2022).
date_created: 2022-09-28T05:25:10Z
date_updated: 2023-07-28T08:03:41Z
department:
- _id: '27'
- _id: '518'
external_id:
arxiv:
- '2209.12747'
language:
- iso: eng
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: arXiv:2209.12747
status: public
title: Roadmap on Electronic Structure Codes in the Exascale Era
type: preprint
user_id: '24135'
year: '2022'
...
---
_id: '46193'
author:
- first_name: Martin
full_name: Karp, Martin
last_name: Karp
- first_name: Artur
full_name: Podobas, Artur
last_name: Podobas
- first_name: Tobias
full_name: Kenter, Tobias
id: '3145'
last_name: Kenter
- first_name: Niclas
full_name: Jansson, Niclas
last_name: Jansson
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
- first_name: Philipp
full_name: Schlatter, Philipp
last_name: Schlatter
- first_name: Stefano
full_name: Markidis, Stefano
last_name: Markidis
citation:
ama: 'Karp M, Podobas A, Kenter T, et al. A High-Fidelity Flow Solver for Unstructured
Meshes on Field-Programmable Gate Arrays: Design, Evaluation, and Future Challenges.
In: International Conference on High Performance Computing in Asia-Pacific
Region. ACM; 2022. doi:10.1145/3492805.3492808'
apa: 'Karp, M., Podobas, A., Kenter, T., Jansson, N., Plessl, C., Schlatter, P.,
& Markidis, S. (2022). A High-Fidelity Flow Solver for Unstructured Meshes
on Field-Programmable Gate Arrays: Design, Evaluation, and Future Challenges.
International Conference on High Performance Computing in Asia-Pacific Region.
https://doi.org/10.1145/3492805.3492808'
bibtex: '@inproceedings{Karp_Podobas_Kenter_Jansson_Plessl_Schlatter_Markidis_2022,
title={A High-Fidelity Flow Solver for Unstructured Meshes on Field-Programmable
Gate Arrays: Design, Evaluation, and Future Challenges}, DOI={10.1145/3492805.3492808},
booktitle={International Conference on High Performance Computing in Asia-Pacific
Region}, publisher={ACM}, author={Karp, Martin and Podobas, Artur and Kenter,
Tobias and Jansson, Niclas and Plessl, Christian and Schlatter, Philipp and Markidis,
Stefano}, year={2022} }'
chicago: 'Karp, Martin, Artur Podobas, Tobias Kenter, Niclas Jansson, Christian
Plessl, Philipp Schlatter, and Stefano Markidis. “A High-Fidelity Flow Solver
for Unstructured Meshes on Field-Programmable Gate Arrays: Design, Evaluation,
and Future Challenges.” In International Conference on High Performance Computing
in Asia-Pacific Region. ACM, 2022. https://doi.org/10.1145/3492805.3492808.'
ieee: 'M. Karp et al., “A High-Fidelity Flow Solver for Unstructured Meshes
on Field-Programmable Gate Arrays: Design, Evaluation, and Future Challenges,”
2022, doi: 10.1145/3492805.3492808.'
mla: 'Karp, Martin, et al. “A High-Fidelity Flow Solver for Unstructured Meshes
on Field-Programmable Gate Arrays: Design, Evaluation, and Future Challenges.”
International Conference on High Performance Computing in Asia-Pacific Region,
ACM, 2022, doi:10.1145/3492805.3492808.'
short: 'M. Karp, A. Podobas, T. Kenter, N. Jansson, C. Plessl, P. Schlatter, S.
Markidis, in: International Conference on High Performance Computing in Asia-Pacific
Region, ACM, 2022.'
date_created: 2023-07-28T11:51:55Z
date_updated: 2023-07-28T11:53:15Z
department:
- _id: '27'
- _id: '518'
doi: 10.1145/3492805.3492808
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://dl.acm.org/doi/pdf/10.1145/3492805.3492808
oa: '1'
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: International Conference on High Performance Computing in Asia-Pacific
Region
publication_status: published
publisher: ACM
quality_controlled: '1'
status: public
title: 'A High-Fidelity Flow Solver for Unstructured Meshes on Field-Programmable
Gate Arrays: Design, Evaluation, and Future Challenges'
type: conference
user_id: '3145'
year: '2022'
...
---
_id: '32404'
abstract:
- lang: eng
text: "The CP2K program package, which can be considered as the swiss army knife
of\r\natomistic simulations, is presented with a special emphasis on ab-initio\r\nmolecular
dynamics using the second-generation Car-Parrinello method. After\r\noutlining
current and near-term development efforts with regards to massively\r\nparallel
low-scaling post-Hartree-Fock and eigenvalue solvers, novel approaches\r\non how
we plan to take full advantage of future low-precision hardware\r\narchitectures
are introduced. Our focus here is on combining our submatrix\r\nmethod with the
approximate computing paradigm to address the immanent exascale\r\nera."
author:
- first_name: Thomas
full_name: Kühne, Thomas
id: '49079'
last_name: Kühne
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
- first_name: Robert
full_name: Schade, Robert
id: '75963'
last_name: Schade
orcid: 0000-0002-6268-539
- first_name: Ole
full_name: Schütt, Ole
last_name: Schütt
citation:
ama: Kühne T, Plessl C, Schade R, Schütt O. CP2K on the road to exascale. arXiv:220514741.
Published online 2022.
apa: Kühne, T., Plessl, C., Schade, R., & Schütt, O. (2022). CP2K on the road
to exascale. In arXiv:2205.14741.
bibtex: '@article{Kühne_Plessl_Schade_Schütt_2022, title={CP2K on the road to exascale},
journal={arXiv:2205.14741}, author={Kühne, Thomas and Plessl, Christian and Schade,
Robert and Schütt, Ole}, year={2022} }'
chicago: Kühne, Thomas, Christian Plessl, Robert Schade, and Ole Schütt. “CP2K on
the Road to Exascale.” ArXiv:2205.14741, 2022.
ieee: T. Kühne, C. Plessl, R. Schade, and O. Schütt, “CP2K on the road to exascale,”
arXiv:2205.14741. 2022.
mla: Kühne, Thomas, et al. “CP2K on the Road to Exascale.” ArXiv:2205.14741,
2022.
short: T. Kühne, C. Plessl, R. Schade, O. Schütt, ArXiv:2205.14741 (2022).
date_created: 2022-07-22T08:14:08Z
date_updated: 2023-08-02T14:55:35Z
department:
- _id: '27'
- _id: '518'
- _id: '304'
external_id:
arxiv:
- '2205.14741'
language:
- iso: eng
main_file_link:
- url: https://arxiv.org/abs/2205.14741
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: arXiv:2205.14741
status: public
title: CP2K on the road to exascale
type: preprint
user_id: '75963'
year: '2022'
...
---
_id: '33226'
abstract:
- lang: eng
text: A parallel hybrid quantum-classical algorithm for the solution of the quantum-chemical
ground-state energy problem on gate-based quantum computers is presented. This
approach is based on the reduced density-matrix functional theory (RDMFT) formulation
of the electronic structure problem. For that purpose, the density-matrix functional
of the full system is decomposed into an indirectly coupled sum of density-matrix
functionals for all its subsystems using the adaptive cluster approximation to
RDMFT. The approximations involved in the decomposition and the adaptive cluster
approximation itself can be systematically converged to the exact result. The
solutions for the density-matrix functionals of the effective subsystems involves
a constrained minimization over many-particle states that are approximated by
parametrized trial states on the quantum computer similarly to the variational
quantum eigensolver. The independence of the density-matrix functionals of the
effective subsystems introduces a new level of parallelization and allows for
the computational treatment of much larger molecules on a quantum computer with
a given qubit count. In addition, for the proposed algorithm techniques are presented
to reduce the qubit count, the number of quantum programs, as well as its depth.
The evaluation of a density-matrix functional as the essential part of our approach
is demonstrated for Hubbard-like systems on IBM quantum computers based on superconducting
transmon qubits.
article_type: original
author:
- first_name: Robert
full_name: Schade, Robert
id: '75963'
last_name: Schade
orcid: 0000-0002-6268-539
- first_name: Carsten
full_name: Bauer, Carsten
id: '90082'
last_name: Bauer
- first_name: Konstantin
full_name: Tamoev, Konstantin
id: '50177'
last_name: Tamoev
- first_name: Lukas
full_name: Mazur, Lukas
id: '90492'
last_name: Mazur
orcid: ' 0000-0001-6304-7082'
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
- first_name: Thomas
full_name: Kühne, Thomas
id: '49079'
last_name: Kühne
citation:
ama: Schade R, Bauer C, Tamoev K, Mazur L, Plessl C, Kühne T. Parallel quantum chemistry
on noisy intermediate-scale quantum computers. Phys Rev Research. 2022;4:033160.
doi:10.1103/PhysRevResearch.4.033160
apa: Schade, R., Bauer, C., Tamoev, K., Mazur, L., Plessl, C., & Kühne, T. (2022).
Parallel quantum chemistry on noisy intermediate-scale quantum computers. Phys.
Rev. Research, 4, 033160. https://doi.org/10.1103/PhysRevResearch.4.033160
bibtex: '@article{Schade_Bauer_Tamoev_Mazur_Plessl_Kühne_2022, title={Parallel quantum
chemistry on noisy intermediate-scale quantum computers}, volume={4}, DOI={10.1103/PhysRevResearch.4.033160},
journal={Phys. Rev. Research}, publisher={American Physical Society}, author={Schade,
Robert and Bauer, Carsten and Tamoev, Konstantin and Mazur, Lukas and Plessl,
Christian and Kühne, Thomas}, year={2022}, pages={033160} }'
chicago: 'Schade, Robert, Carsten Bauer, Konstantin Tamoev, Lukas Mazur, Christian
Plessl, and Thomas Kühne. “Parallel Quantum Chemistry on Noisy Intermediate-Scale
Quantum Computers.” Phys. Rev. Research 4 (2022): 033160. https://doi.org/10.1103/PhysRevResearch.4.033160.'
ieee: 'R. Schade, C. Bauer, K. Tamoev, L. Mazur, C. Plessl, and T. Kühne, “Parallel
quantum chemistry on noisy intermediate-scale quantum computers,” Phys. Rev.
Research, vol. 4, p. 033160, 2022, doi: 10.1103/PhysRevResearch.4.033160.'
mla: Schade, Robert, et al. “Parallel Quantum Chemistry on Noisy Intermediate-Scale
Quantum Computers.” Phys. Rev. Research, vol. 4, American Physical Society,
2022, p. 033160, doi:10.1103/PhysRevResearch.4.033160.
short: R. Schade, C. Bauer, K. Tamoev, L. Mazur, C. Plessl, T. Kühne, Phys. Rev.
Research 4 (2022) 033160.
date_created: 2022-08-29T14:07:01Z
date_updated: 2023-08-02T15:04:22Z
department:
- _id: '27'
- _id: '518'
doi: 10.1103/PhysRevResearch.4.033160
intvolume: ' 4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.4.033160
oa: '1'
page: '033160'
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Phys. Rev. Research
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Parallel quantum chemistry on noisy intermediate-scale quantum computers
type: journal_article
user_id: '75963'
volume: 4
year: '2022'
...
---
_id: '33684'
article_number: '102920'
author:
- first_name: Robert
full_name: Schade, Robert
id: '75963'
last_name: Schade
orcid: 0000-0002-6268-539
- first_name: Tobias
full_name: Kenter, Tobias
id: '3145'
last_name: Kenter
- first_name: Hossam
full_name: Elgabarty, Hossam
id: '60250'
last_name: Elgabarty
orcid: 0000-0002-4945-1481
- first_name: Michael
full_name: Lass, Michael
id: '24135'
last_name: Lass
orcid: 0000-0002-5708-7632
- first_name: Ole
full_name: Schütt, Ole
last_name: Schütt
- first_name: Alfio
full_name: Lazzaro, Alfio
last_name: Lazzaro
- first_name: Hans
full_name: Pabst, Hans
last_name: Pabst
- first_name: Stephan
full_name: Mohr, Stephan
last_name: Mohr
- first_name: Jürg
full_name: Hutter, Jürg
last_name: Hutter
- first_name: Thomas
full_name: Kühne, Thomas
id: '49079'
last_name: Kühne
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
citation:
ama: Schade R, Kenter T, Elgabarty H, et al. Towards electronic structure-based
ab-initio molecular dynamics simulations with hundreds of millions of atoms. Parallel
Computing. 2022;111. doi:10.1016/j.parco.2022.102920
apa: Schade, R., Kenter, T., Elgabarty, H., Lass, M., Schütt, O., Lazzaro, A., Pabst,
H., Mohr, S., Hutter, J., Kühne, T., & Plessl, C. (2022). Towards electronic
structure-based ab-initio molecular dynamics simulations with hundreds of millions
of atoms. Parallel Computing, 111, Article 102920. https://doi.org/10.1016/j.parco.2022.102920
bibtex: '@article{Schade_Kenter_Elgabarty_Lass_Schütt_Lazzaro_Pabst_Mohr_Hutter_Kühne_et
al._2022, title={Towards electronic structure-based ab-initio molecular dynamics
simulations with hundreds of millions of atoms}, volume={111}, DOI={10.1016/j.parco.2022.102920},
number={102920}, journal={Parallel Computing}, publisher={Elsevier BV}, author={Schade,
Robert and Kenter, Tobias and Elgabarty, Hossam and Lass, Michael and Schütt,
Ole and Lazzaro, Alfio and Pabst, Hans and Mohr, Stephan and Hutter, Jürg and
Kühne, Thomas and et al.}, year={2022} }'
chicago: Schade, Robert, Tobias Kenter, Hossam Elgabarty, Michael Lass, Ole Schütt,
Alfio Lazzaro, Hans Pabst, et al. “Towards Electronic Structure-Based Ab-Initio
Molecular Dynamics Simulations with Hundreds of Millions of Atoms.” Parallel
Computing 111 (2022). https://doi.org/10.1016/j.parco.2022.102920.
ieee: 'R. Schade et al., “Towards electronic structure-based ab-initio molecular
dynamics simulations with hundreds of millions of atoms,” Parallel Computing,
vol. 111, Art. no. 102920, 2022, doi: 10.1016/j.parco.2022.102920.'
mla: Schade, Robert, et al. “Towards Electronic Structure-Based Ab-Initio Molecular
Dynamics Simulations with Hundreds of Millions of Atoms.” Parallel Computing,
vol. 111, 102920, Elsevier BV, 2022, doi:10.1016/j.parco.2022.102920.
short: R. Schade, T. Kenter, H. Elgabarty, M. Lass, O. Schütt, A. Lazzaro, H. Pabst,
S. Mohr, J. Hutter, T. Kühne, C. Plessl, Parallel Computing 111 (2022).
date_created: 2022-10-11T08:17:02Z
date_updated: 2023-08-02T15:03:55Z
department:
- _id: '613'
- _id: '27'
- _id: '518'
doi: 10.1016/j.parco.2022.102920
intvolume: ' 111'
keyword:
- Artificial Intelligence
- Computer Graphics and Computer-Aided Design
- Computer Networks and Communications
- Hardware and Architecture
- Theoretical Computer Science
- Software
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.sciencedirect.com/science/article/pii/S0167819122000242
oa: '1'
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Parallel Computing
publication_identifier:
issn:
- 0167-8191
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: Towards electronic structure-based ab-initio molecular dynamics simulations
with hundreds of millions of atoms
type: journal_article
user_id: '75963'
volume: 111
year: '2022'
...
---
_id: '19941'
abstract:
- lang: eng
text: "In backward error analysis, an approximate solution to an equation is compared
to the exact solution to a nearby ‘modified’ equation. In numerical ordinary differential
equations, the two agree up to any power of the step size. If the differential
equation has a geometric property then the modified equation may share it. In
this way, known properties of differential equations can be applied to the approximation.
But for partial differential equations, the known modified equations are of higher
order, limiting applicability of the theory. Therefore, we study symmetric solutions
of discretized\r\npartial differential equations that arise from a discrete variational
principle. These symmetric solutions obey infinite-dimensional functional equations.
We show that these equations admit second-order modified equations which are Hamiltonian
and also possess first-order Lagrangians in modified coordinates. The modified
equation and its associated structures are computed explicitly for the case of
rotating travelling waves in the nonlinear wave equation."
article_type: original
author:
- first_name: Robert I
full_name: McLachlan, Robert I
last_name: McLachlan
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: https://orcid.org/0000-0002-5940-8057
citation:
ama: McLachlan RI, Offen C. Backward error analysis for variational discretisations
of partial differential equations. Journal of Geometric Mechanics. 2022;14(3):447-471.
doi:10.3934/jgm.2022014
apa: McLachlan, R. I., & Offen, C. (2022). Backward error analysis for variational
discretisations of partial differential equations. Journal of Geometric Mechanics,
14(3), 447–471. https://doi.org/10.3934/jgm.2022014
bibtex: '@article{McLachlan_Offen_2022, title={Backward error analysis for variational
discretisations of partial differential equations}, volume={14}, DOI={10.3934/jgm.2022014},
number={3}, journal={Journal of Geometric Mechanics}, publisher={AIMS}, author={McLachlan,
Robert I and Offen, Christian}, year={2022}, pages={447–471} }'
chicago: 'McLachlan, Robert I, and Christian Offen. “Backward Error Analysis for
Variational Discretisations of Partial Differential Equations.” Journal of
Geometric Mechanics 14, no. 3 (2022): 447–71. https://doi.org/10.3934/jgm.2022014.'
ieee: 'R. I. McLachlan and C. Offen, “Backward error analysis for variational discretisations
of partial differential equations,” Journal of Geometric Mechanics, vol.
14, no. 3, pp. 447–471, 2022, doi: 10.3934/jgm.2022014.'
mla: McLachlan, Robert I., and Christian Offen. “Backward Error Analysis for Variational
Discretisations of Partial Differential Equations.” Journal of Geometric Mechanics,
vol. 14, no. 3, AIMS, 2022, pp. 447–71, doi:10.3934/jgm.2022014.
short: R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471.
date_created: 2020-10-06T16:33:19Z
date_updated: 2023-08-10T08:44:55Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.3934/jgm.2022014
external_id:
arxiv:
- '2006.14172'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2022-06-13T09:11:38Z
date_updated: 2022-06-13T09:11:38Z
description: |-
In backward error analysis, an approximate solution to an equa-
tion is compared to the exact solution to a nearby ‘modified’ equation. In
numerical ordinary differential equations, the two agree up to any power of
the step size. If the differential equation has a geometric property then the
modified equation may share it. In this way, known properties of differential
equations can be applied to the approximation. But for partial differential
equations, the known modified equations are of higher order, limiting appli-
cability of the theory. Therefore, we study symmetric solutions of discretized
partial differential equations that arise from a discrete variational principle.
These symmetric solutions obey infinite-dimensional functional equations. We
show that these equations admit second-order modified equations which are
Hamiltonian and also possess first-order Lagrangians in modified coordinates.
The modified equation and its associated structures are computed explicitly
for the case of rotating travelling waves in the nonlinear wave equation.
file_id: '31859'
file_name: 2_BlendedBEASymmPDE.pdf
file_size: 1507248
relation: main_file
title: Backward error analysis for variational discretisations of PDEs
file_date_updated: 2022-06-13T09:11:38Z
has_accepted_license: '1'
intvolume: ' 14'
issue: '3'
language:
- iso: eng
oa: '1'
page: 447 - 471
publication: Journal of Geometric Mechanics
publication_status: published
publisher: AIMS
related_material:
link:
- relation: software
url: https://github.com/Christian-Offen/multisymplectic
status: public
title: Backward error analysis for variational discretisations of partial differential
equations
type: journal_article
user_id: '85279'
volume: 14
year: '2022'
...
---
_id: '23382'
abstract:
- lang: eng
text: Hamiltonian systems are differential equations which describe systems in classical
mechanics, plasma physics, and sampling problems. They exhibit many structural
properties, such as a lack of attractors and the presence of conservation laws.
To predict Hamiltonian dynamics based on discrete trajectory observations, incorporation
of prior knowledge about Hamiltonian structure greatly improves predictions. This
is typically done by learning the system's Hamiltonian and then integrating the
Hamiltonian vector field with a symplectic integrator. For this, however, Hamiltonian
data needs to be approximated based on the trajectory observations. Moreover,
the numerical integrator introduces an additional discretisation error. In this
paper, we show that an inverse modified Hamiltonian structure adapted to the geometric
integrator can be learned directly from observations. A separate approximation
step for the Hamiltonian data avoided. The inverse modified data compensates for
the discretisation error such that the discretisation error is eliminated. The
technique is developed for Gaussian Processes.
article_type: original
author:
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: 'Offen C, Ober-Blöbaum S. Symplectic integration of learned Hamiltonian systems.
Chaos: An Interdisciplinary Journal of Nonlinear Science. 2022;32(1). doi:10.1063/5.0065913'
apa: 'Offen, C., & Ober-Blöbaum, S. (2022). Symplectic integration of learned
Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science,
32(1). https://doi.org/10.1063/5.0065913'
bibtex: '@article{Offen_Ober-Blöbaum_2022, title={Symplectic integration of learned
Hamiltonian systems}, volume={32(1)}, DOI={10.1063/5.0065913},
journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, publisher={AIP},
author={Offen, Christian and Ober-Blöbaum, Sina}, year={2022} }'
chicago: 'Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned
Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science
32(1) (2022). https://doi.org/10.1063/5.0065913.'
ieee: 'C. Offen and S. Ober-Blöbaum, “Symplectic integration of learned Hamiltonian
systems,” Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.
32(1), 2022, doi: 10.1063/5.0065913.'
mla: 'Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned
Hamiltonian Systems.” Chaos: An Interdisciplinary Journal of Nonlinear Science,
vol. 32(1), AIP, 2022, doi:10.1063/5.0065913.'
short: 'C. Offen, S. Ober-Blöbaum, Chaos: An Interdisciplinary Journal of Nonlinear
Science 32(1) (2022).'
date_created: 2021-08-11T08:24:02Z
date_updated: 2023-08-10T08:48:14Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1063/5.0065913
external_id:
arxiv:
- '2108.02492'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2021-12-13T14:56:15Z
date_updated: 2021-12-13T14:56:15Z
file_id: '28734'
file_name: SymplecticShadowIntegration_AIP.pdf
file_size: 2285059
relation: main_file
file_date_updated: 2021-12-13T14:56:15Z
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://aip.scitation.org/doi/abs/10.1063/5.0065913
oa: '1'
publication: 'Chaos: An Interdisciplinary Journal of Nonlinear Science'
publication_status: published
publisher: AIP
quality_controlled: '1'
related_material:
link:
- description: GitHub
relation: software
url: https://github.com/Christian-Offen/symplectic-shadow-integration
status: public
title: Symplectic integration of learned Hamiltonian systems
type: journal_article
user_id: '85279'
volume: 32(1)
year: '2022'
...
---
_id: '40613'
author:
- first_name: Jennifer
full_name: Dröse, Jennifer
id: '85820'
last_name: Dröse
citation:
ama: 'Dröse J. Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von
drei Professionalisierungsgruppen. In: Beiträge Zum Mathematikunterricht.
; 2022.'
apa: Dröse, J. (2022). Verstehensgrundlagen diagnostizieren - Diagnostisches Denken
von drei Professionalisierungsgruppen. Beiträge Zum Mathematikunterricht.
bibtex: '@inproceedings{Dröse_2022, title={Verstehensgrundlagen diagnostizieren
- Diagnostisches Denken von drei Professionalisierungsgruppen}, booktitle={Beiträge
zum Mathematikunterricht}, author={Dröse, Jennifer}, year={2022} }'
chicago: Dröse, Jennifer. “Verstehensgrundlagen Diagnostizieren - Diagnostisches
Denken von Drei Professionalisierungsgruppen.” In Beiträge Zum Mathematikunterricht,
2022.
ieee: J. Dröse, “Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von
drei Professionalisierungsgruppen,” 2022.
mla: Dröse, Jennifer. “Verstehensgrundlagen Diagnostizieren - Diagnostisches Denken
von Drei Professionalisierungsgruppen.” Beiträge Zum Mathematikunterricht,
2022.
short: 'J. Dröse, in: Beiträge Zum Mathematikunterricht, 2022.'
date_created: 2023-01-27T19:00:01Z
date_updated: 2023-08-15T06:04:03Z
department:
- _id: '98'
language:
- iso: eng
publication: Beiträge zum Mathematikunterricht
status: public
title: Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen
type: conference
user_id: '85820'
year: '2022'
...
---
_id: '46538'
author:
- first_name: Hamada Mohamed Abdelsamee
full_name: Zahera, Hamada Mohamed Abdelsamee
id: '72768'
last_name: Zahera
orcid: 0000-0003-0215-1278
- first_name: Daniel
full_name: Vollmers, Daniel
last_name: Vollmers
- first_name: Mohamed
full_name: Sherif, Mohamed
id: '67234'
last_name: Sherif
orcid: https://orcid.org/0000-0002-9927-2203
- first_name: Axel-Cyrille
full_name: Ngonga Ngomo, Axel-Cyrille
id: '65716'
last_name: Ngonga Ngomo
citation:
ama: 'Zahera HMA, Vollmers D, Sherif M, Ngonga Ngomo A-C. MultPAX: Keyphrase Extraction
using Language Models and Knowledge Graphs. In: ISWC 2022. Springer, Cham.
doi:10.1007/978-3-031-19433-7_18'
apa: 'Zahera, H. M. A., Vollmers, D., Sherif, M., & Ngonga Ngomo, A.-C. (n.d.).
MultPAX: Keyphrase Extraction using Language Models and Knowledge Graphs. ISWC
2022. https://doi.org/10.1007/978-3-031-19433-7_18'
bibtex: '@inproceedings{Zahera_Vollmers_Sherif_Ngonga Ngomo, title={MultPAX: Keyphrase
Extraction using Language Models and Knowledge Graphs}, DOI={10.1007/978-3-031-19433-7_18},
booktitle={ISWC 2022}, publisher={Springer, Cham}, author={Zahera, Hamada Mohamed
Abdelsamee and Vollmers, Daniel and Sherif, Mohamed and Ngonga Ngomo, Axel-Cyrille}
}'
chicago: 'Zahera, Hamada Mohamed Abdelsamee, Daniel Vollmers, Mohamed Sherif, and
Axel-Cyrille Ngonga Ngomo. “MultPAX: Keyphrase Extraction Using Language Models
and Knowledge Graphs.” In ISWC 2022. Springer, Cham, n.d. https://doi.org/10.1007/978-3-031-19433-7_18.'
ieee: 'H. M. A. Zahera, D. Vollmers, M. Sherif, and A.-C. Ngonga Ngomo, “MultPAX:
Keyphrase Extraction using Language Models and Knowledge Graphs,” doi: 10.1007/978-3-031-19433-7_18.'
mla: 'Zahera, Hamada Mohamed Abdelsamee, et al. “MultPAX: Keyphrase Extraction Using
Language Models and Knowledge Graphs.” ISWC 2022, Springer, Cham, doi:10.1007/978-3-031-19433-7_18.'
short: 'H.M.A. Zahera, D. Vollmers, M. Sherif, A.-C. Ngonga Ngomo, in: ISWC 2022,
Springer, Cham, n.d.'
date_created: 2023-08-16T10:16:05Z
date_updated: 2023-08-16T10:20:31Z
department:
- _id: '34'
doi: 10.1007/978-3-031-19433-7_18
keyword:
- colide dice eml4u ngonga raki sherif speaker vollmers zahera
language:
- iso: eng
publication: ISWC 2022
publication_identifier:
eisbn:
- 978-3-031-19433-7
isbn:
- 978-3-031-19432-0
publication_status: accepted
publisher: Springer, Cham
status: public
title: 'MultPAX: Keyphrase Extraction using Language Models and Knowledge Graphs'
type: conference
user_id: '67234'
year: '2022'
...
---
_id: '45248'
author:
- first_name: Brijesh
full_name: Dongol, Brijesh
last_name: Dongol
- first_name: Gerhard
full_name: Schellhorn, Gerhard
last_name: Schellhorn
- first_name: Heike
full_name: Wehrheim, Heike
id: '573'
last_name: Wehrheim
citation:
ama: 'Dongol B, Schellhorn G, Wehrheim H. Weak Progressive Forward Simulation Is
Necessary and Sufficient for Strong Observational Refinement. In: Klin B, Lasota
S, Muscholl A, eds. 33rd International Conference on Concurrency Theory, CONCUR
2022, September 12-16, 2022, Warsaw, Poland. Vol 243. LIPIcs. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik; 2022:31:1–31:23. doi:10.4230/LIPIcs.CONCUR.2022.31'
apa: Dongol, B., Schellhorn, G., & Wehrheim, H. (2022). Weak Progressive Forward
Simulation Is Necessary and Sufficient for Strong Observational Refinement. In
B. Klin, S. Lasota, & A. Muscholl (Eds.), 33rd International Conference
on Concurrency Theory, CONCUR 2022, September 12-16, 2022, Warsaw, Poland
(Vol. 243, p. 31:1–31:23). Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.CONCUR.2022.31
bibtex: '@inproceedings{Dongol_Schellhorn_Wehrheim_2022, series={LIPIcs}, title={Weak
Progressive Forward Simulation Is Necessary and Sufficient for Strong Observational
Refinement}, volume={243}, DOI={10.4230/LIPIcs.CONCUR.2022.31},
booktitle={33rd International Conference on Concurrency Theory, CONCUR 2022, September
12-16, 2022, Warsaw, Poland}, publisher={Schloss Dagstuhl - Leibniz-Zentrum für
Informatik}, author={Dongol, Brijesh and Schellhorn, Gerhard and Wehrheim, Heike},
editor={Klin, Bartek and Lasota, Slawomir and Muscholl, Anca}, year={2022}, pages={31:1–31:23},
collection={LIPIcs} }'
chicago: Dongol, Brijesh, Gerhard Schellhorn, and Heike Wehrheim. “Weak Progressive
Forward Simulation Is Necessary and Sufficient for Strong Observational Refinement.”
In 33rd International Conference on Concurrency Theory, CONCUR 2022, September
12-16, 2022, Warsaw, Poland, edited by Bartek Klin, Slawomir Lasota, and Anca
Muscholl, 243:31:1–31:23. LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2022. https://doi.org/10.4230/LIPIcs.CONCUR.2022.31.
ieee: 'B. Dongol, G. Schellhorn, and H. Wehrheim, “Weak Progressive Forward Simulation
Is Necessary and Sufficient for Strong Observational Refinement,” in 33rd International
Conference on Concurrency Theory, CONCUR 2022, September 12-16, 2022, Warsaw,
Poland, 2022, vol. 243, p. 31:1–31:23, doi: 10.4230/LIPIcs.CONCUR.2022.31.'
mla: Dongol, Brijesh, et al. “Weak Progressive Forward Simulation Is Necessary and
Sufficient for Strong Observational Refinement.” 33rd International Conference
on Concurrency Theory, CONCUR 2022, September 12-16, 2022, Warsaw, Poland,
edited by Bartek Klin et al., vol. 243, Schloss Dagstuhl - Leibniz-Zentrum für
Informatik, 2022, p. 31:1–31:23, doi:10.4230/LIPIcs.CONCUR.2022.31.
short: 'B. Dongol, G. Schellhorn, H. Wehrheim, in: B. Klin, S. Lasota, A. Muscholl
(Eds.), 33rd International Conference on Concurrency Theory, CONCUR 2022, September
12-16, 2022, Warsaw, Poland, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2022, p. 31:1–31:23.'
date_created: 2023-05-24T07:55:24Z
date_updated: 2023-08-28T12:24:57Z
department:
- _id: '77'
doi: 10.4230/LIPIcs.CONCUR.2022.31
editor:
- first_name: Bartek
full_name: Klin, Bartek
last_name: Klin
- first_name: Slawomir
full_name: Lasota, Slawomir
last_name: Lasota
- first_name: Anca
full_name: Muscholl, Anca
last_name: Muscholl
intvolume: ' 243'
language:
- iso: eng
page: 31:1–31:23
project:
- _id: '1'
grant_number: '160364472'
name: 'SFB 901: SFB 901'
- _id: '3'
name: 'SFB 901 - B: SFB 901 - Project Area B'
- _id: '12'
name: 'SFB 901 - B4: SFB 901 - Subproject B4'
publication: 33rd International Conference on Concurrency Theory, CONCUR 2022, September
12-16, 2022, Warsaw, Poland
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
series_title: LIPIcs
status: public
title: Weak Progressive Forward Simulation Is Necessary and Sufficient for Strong
Observational Refinement
type: conference
user_id: '477'
volume: 243
year: '2022'
...
---
_id: '27364'
author:
- first_name: Marius
full_name: Meyer, Marius
id: '40778'
last_name: Meyer
- first_name: Tobias
full_name: Kenter, Tobias
id: '3145'
last_name: Kenter
- first_name: Christian
full_name: Plessl, Christian
id: '16153'
last_name: Plessl
orcid: 0000-0001-5728-9982
citation:
ama: Meyer M, Kenter T, Plessl C. In-depth FPGA Accelerator Performance Evaluation
with Single Node Benchmarks from the HPC Challenge Benchmark Suite for Intel and
Xilinx FPGAs using OpenCL. Journal of Parallel and Distributed Computing.
Published online 2022. doi:10.1016/j.jpdc.2021.10.007
apa: Meyer, M., Kenter, T., & Plessl, C. (2022). In-depth FPGA Accelerator Performance
Evaluation with Single Node Benchmarks from the HPC Challenge Benchmark Suite
for Intel and Xilinx FPGAs using OpenCL. Journal of Parallel and Distributed
Computing. https://doi.org/10.1016/j.jpdc.2021.10.007
bibtex: '@article{Meyer_Kenter_Plessl_2022, title={In-depth FPGA Accelerator Performance
Evaluation with Single Node Benchmarks from the HPC Challenge Benchmark Suite
for Intel and Xilinx FPGAs using OpenCL}, DOI={10.1016/j.jpdc.2021.10.007},
journal={Journal of Parallel and Distributed Computing}, author={Meyer, Marius
and Kenter, Tobias and Plessl, Christian}, year={2022} }'
chicago: Meyer, Marius, Tobias Kenter, and Christian Plessl. “In-Depth FPGA Accelerator
Performance Evaluation with Single Node Benchmarks from the HPC Challenge Benchmark
Suite for Intel and Xilinx FPGAs Using OpenCL.” Journal of Parallel and Distributed
Computing, 2022. https://doi.org/10.1016/j.jpdc.2021.10.007.
ieee: 'M. Meyer, T. Kenter, and C. Plessl, “In-depth FPGA Accelerator Performance
Evaluation with Single Node Benchmarks from the HPC Challenge Benchmark Suite
for Intel and Xilinx FPGAs using OpenCL,” Journal of Parallel and Distributed
Computing, 2022, doi: 10.1016/j.jpdc.2021.10.007.'
mla: Meyer, Marius, et al. “In-Depth FPGA Accelerator Performance Evaluation with
Single Node Benchmarks from the HPC Challenge Benchmark Suite for Intel and Xilinx
FPGAs Using OpenCL.” Journal of Parallel and Distributed Computing, 2022,
doi:10.1016/j.jpdc.2021.10.007.
short: M. Meyer, T. Kenter, C. Plessl, Journal of Parallel and Distributed Computing
(2022).
date_created: 2021-11-10T14:36:27Z
date_updated: 2023-09-26T10:26:56Z
department:
- _id: '27'
- _id: '518'
doi: 10.1016/j.jpdc.2021.10.007
language:
- iso: eng
project:
- _id: '52'
name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Journal of Parallel and Distributed Computing
publication_identifier:
issn:
- 0743-7315
publication_status: published
quality_controlled: '1'
status: public
title: In-depth FPGA Accelerator Performance Evaluation with Single Node Benchmarks
from the HPC Challenge Benchmark Suite for Intel and Xilinx FPGAs using OpenCL
type: journal_article
user_id: '15278'
year: '2022'
...
---
_id: '47520'
author:
- first_name: Lara Marie
full_name: Graf, Lara Marie
id: '89837'
last_name: Graf
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: Marcus
full_name: Nührenbörger, Marcus
last_name: Nührenbörger
- first_name: Karina
full_name: Höveler, Karina
last_name: Höveler
citation:
ama: 'Graf LM, Häsel-Weide U, Nührenbörger M, Höveler K. Lernwege von fachfremd
unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen. In: IDMI-Primar
Goethe-Universität Frankfurt, ed. Beiträge Zum Mathematikunterricht 2022 -
56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. ; 2022:773-776.'
apa: Graf, L. M., Häsel-Weide, U., Nührenbörger, M., & Höveler, K. (2022). Lernwege
von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen.
In IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge zum Mathematikunterricht
2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (pp.
773–776).
bibtex: '@inproceedings{Graf_Häsel-Weide_Nührenbörger_Höveler_2022, title={Lernwege
von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen},
booktitle={Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik}, author={Graf, Lara Marie and Häsel-Weide, Uta and
Nührenbörger, Marcus and Höveler, Karina}, editor={IDMI-Primar Goethe-Universität
Frankfurt}, year={2022}, pages={773–776} }'
chicago: Graf, Lara Marie, Uta Häsel-Weide, Marcus Nührenbörger, and Karina Höveler.
“Lernwege von Fachfremd Unterrichtenden Lehrkräften Zur Ablösung Vom Zählenden
Rechnen.” In Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der
Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität
Frankfurt, 773–76, 2022.
ieee: L. M. Graf, U. Häsel-Weide, M. Nührenbörger, and K. Höveler, “Lernwege von
fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen,” in
Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik, Frankfurt am Main, 2022, pp. 773–776.
mla: Graf, Lara Marie, et al. “Lernwege von Fachfremd Unterrichtenden Lehrkräften
Zur Ablösung Vom Zählenden Rechnen.” Beiträge Zum Mathematikunterricht 2022
- 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by
IDMI-Primar Goethe-Universität Frankfurt, 2022, pp. 773–76.
short: 'L.M. Graf, U. Häsel-Weide, M. Nührenbörger, K. Höveler, in: IDMI-Primar
Goethe-Universität Frankfurt (Ed.), Beiträge Zum Mathematikunterricht 2022 - 56.
Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, 2022, pp. 773–776.'
conference:
end_date: 02.09.2022
location: Frankfurt am Main
name: 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik
start_date: 29.08.2022
corporate_editor:
- IDMI-Primar Goethe-Universität Frankfurt
date_created: 2023-09-27T10:01:52Z
date_updated: 2023-09-27T10:02:12Z
department:
- _id: '543'
language:
- iso: eng
page: 773-776
publication: Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik
status: public
title: Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden
Rechnen
type: conference
user_id: '44184'
year: '2022'
...
---
_id: '47519'
author:
- first_name: Imke
full_name: Schwerin, Imke
id: '48912'
last_name: Schwerin
citation:
ama: 'Schwerin I. Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und
Verständnis. In: IDMI-Primar Goethe-Universität Frankfurt, ed. Beiträge Zum
Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der
Mathematik. ; 2022:401-404.'
apa: Schwerin, I. (2022). Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen
und Verständnis. In IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge
zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik
der Mathematik (pp. 401–404).
bibtex: '@inproceedings{Schwerin_2022, title={Verdoppeln und Halbieren im 2. Schuljahr
- Vorgehensweisen und Verständnis}, booktitle={Beiträge zum Mathematikunterricht
2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, author={Schwerin,
Imke}, editor={IDMI-Primar Goethe-Universität Frankfurt}, year={2022}, pages={401–404}
}'
chicago: Schwerin, Imke. “Verdoppeln Und Halbieren Im 2. Schuljahr - Vorgehensweisen
Und Verständnis.” In Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung
Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität
Frankfurt, 401–4, 2022.
ieee: I. Schwerin, “Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und
Verständnis,” in Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung
der Gesellschaft für Didaktik der Mathematik, Frankfurt am Main, 2022, pp.
401–404.
mla: Schwerin, Imke. “Verdoppeln Und Halbieren Im 2. Schuljahr - Vorgehensweisen
Und Verständnis.” Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung
Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität
Frankfurt, 2022, pp. 401–04.
short: 'I. Schwerin, in: IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge
Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik, 2022, pp. 401–404.'
conference:
end_date: 02.09.2022
location: Frankfurt am Main
name: 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik
start_date: 29.08.2022
corporate_editor:
- IDMI-Primar Goethe-Universität Frankfurt
date_created: 2023-09-27T09:53:36Z
date_updated: 2023-09-27T09:54:00Z
department:
- _id: '543'
language:
- iso: eng
page: 401-404
publication: Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik
status: public
title: Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis
type: conference
user_id: '44184'
year: '2022'
...
---
_id: '31407'
abstract:
- lang: eng
text: Students are not aware and have little understanding of collecting
and processing personal data in their everyday contexts of interaction with data-driven
digital artifacts. To be aware of where, how and why data are collected and processed
is important to be self-determined. Therefore, we develop and evaluate a teaching
sequence to provide reasoning about data as a fundamental aspect of statistical
literacy. This teaching sequences deals with the context of interaction with a
cellular network where location data are collected. Students get real location
data from an unknown person which can be explored with the aim to characterize
the person. Students gain different insights by using different basic filters
and explain how they achieve these. The results of the exploratory study indicate
that students learned to gain insights by exploring given location data and that
these insights may describe the person with detailed aspects that may not necessarily
be true.
author:
- first_name: Lukas
full_name: Höper, Lukas
id: '58041'
last_name: Höper
- first_name: Susanne
full_name: Podworny, Susanne
last_name: Podworny
- first_name: Carsten
full_name: Schulte, Carsten
id: '60311'
last_name: Schulte
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
citation:
ama: 'Höper L, Podworny S, Schulte C, Frischemeier D. Exploration of Location Data:
Real Data in the Context of Interaction with a Cellular Network. In: Proceedings
of the IASE 2021 Satellite Conference. International Association for Statistical
Education; 2022. doi:10.52041/iase.nkppy'
apa: 'Höper, L., Podworny, S., Schulte, C., & Frischemeier, D. (2022). Exploration
of Location Data: Real Data in the Context of Interaction with a Cellular Network.
Proceedings of the IASE 2021 Satellite Conference. https://doi.org/10.52041/iase.nkppy'
bibtex: '@inproceedings{Höper_Podworny_Schulte_Frischemeier_2022, title={Exploration
of Location Data: Real Data in the Context of Interaction with a Cellular Network},
DOI={10.52041/iase.nkppy}, booktitle={Proceedings
of the IASE 2021 Satellite Conference}, publisher={International Association for
Statistical Education}, author={Höper, Lukas and Podworny, Susanne and Schulte,
Carsten and Frischemeier, Daniel}, year={2022} }'
chicago: 'Höper, Lukas, Susanne Podworny, Carsten Schulte, and Daniel Frischemeier.
“Exploration of Location Data: Real Data in the Context of Interaction with a
Cellular Network.” In Proceedings of the IASE 2021 Satellite Conference.
International Association for Statistical Education, 2022. https://doi.org/10.52041/iase.nkppy.'
ieee: 'L. Höper, S. Podworny, C. Schulte, and D. Frischemeier, “Exploration of Location
Data: Real Data in the Context of Interaction with a Cellular Network,” 2022,
doi: 10.52041/iase.nkppy.'
mla: 'Höper, Lukas, et al. “Exploration of Location Data: Real Data in the Context
of Interaction with a Cellular Network.” Proceedings of the IASE 2021 Satellite
Conference, International Association for Statistical Education, 2022, doi:10.52041/iase.nkppy.'
short: 'L. Höper, S. Podworny, C. Schulte, D. Frischemeier, in: Proceedings of the
IASE 2021 Satellite Conference, International Association for Statistical Education,
2022.'
date_created: 2022-05-23T09:19:37Z
date_updated: 2024-09-16T08:31:25Z
department:
- _id: '67'
doi: 10.52041/iase.nkppy
language:
- iso: eng
publication: Proceedings of the IASE 2021 Satellite Conference
publication_status: published
publisher: International Association for Statistical Education
quality_controlled: '1'
status: public
title: 'Exploration of Location Data: Real Data in the Context of Interaction with
a Cellular Network'
type: conference
user_id: '58041'
year: '2022'
...
---
_id: '56201'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
citation:
ama: 'Biehler R, Hoffmann M. Fachwissen als Grundlage fachdidaktischer Urteilskompetenz
– Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher
und fachdidaktischer Lehre im gymnasialen Lehramtsstudium. In: Konzepte und
Studien zur Hochschuldidaktik und Lehrerbildung Mathematik. Springer Berlin
Heidelberg; 2022. doi:10.1007/978-3-662-63948-1_4'
apa: Biehler, R., & Hoffmann, M. (2022). Fachwissen als Grundlage fachdidaktischer
Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen
fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.
In Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik.
Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-63948-1_4
bibtex: '@inbook{Biehler_Hoffmann_2022, place={Berlin, Heidelberg}, title={Fachwissen
als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung
konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre
im gymnasialen Lehramtsstudium}, DOI={10.1007/978-3-662-63948-1_4},
booktitle={Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik},
publisher={Springer Berlin Heidelberg}, author={Biehler, Rolf and Hoffmann, Max},
year={2022} }'
chicago: 'Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer
Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen
fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.”
In Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik.
Berlin, Heidelberg: Springer Berlin Heidelberg, 2022. https://doi.org/10.1007/978-3-662-63948-1_4.'
ieee: 'R. Biehler and M. Hoffmann, “Fachwissen als Grundlage fachdidaktischer Urteilskompetenz
– Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher
und fachdidaktischer Lehre im gymnasialen Lehramtsstudium,” in Konzepte und
Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, Berlin, Heidelberg:
Springer Berlin Heidelberg, 2022.'
mla: Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer
Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen
fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.”
Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik,
Springer Berlin Heidelberg, 2022, doi:10.1007/978-3-662-63948-1_4.
short: 'R. Biehler, M. Hoffmann, in: Konzepte und Studien zur Hochschuldidaktik
und Lehrerbildung Mathematik, Springer Berlin Heidelberg, Berlin, Heidelberg,
2022.'
date_created: 2024-09-23T08:51:39Z
date_updated: 2024-09-25T08:26:46Z
department:
- _id: '363'
doi: 10.1007/978-3-662-63948-1_4
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-3-662-63948-1_4
place: Berlin, Heidelberg
publication: Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik
publication_identifier:
isbn:
- '9783662639474'
- '9783662639481'
issn:
- 2197-8751
- 2197-876X
publication_status: published
publisher: Springer Berlin Heidelberg
status: public
title: Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für
die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer
Lehre im gymnasialen Lehramtsstudium
type: book_chapter
user_id: '37888'
year: '2022'
...
---
_id: '56203'
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. Schnittstellenaufgaben in der Analysis I zur Verknüpfung
von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse einer Evaluationsstudie.
In: Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik.
Springer Fachmedien Wiesbaden; 2022. doi:10.1007/978-3-658-34067-4_20'
apa: Hoffmann, M., & Biehler, R. (2022). Schnittstellenaufgaben in der Analysis
I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse
einer Evaluationsstudie. In Konzepte und Studien zur Hochschuldidaktik und
Lehrerbildung Mathematik. Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-34067-4_20
bibtex: '@inbook{Hoffmann_Biehler_2022, place={Wiesbaden}, title={Schnittstellenaufgaben
in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel
und Ergebnisse einer Evaluationsstudie}, DOI={10.1007/978-3-658-34067-4_20},
booktitle={Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik},
publisher={Springer Fachmedien Wiesbaden}, author={Hoffmann, Max and Biehler,
Rolf}, year={2022} }'
chicago: 'Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis
I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse
einer Evaluationsstudie.” In Konzepte und Studien zur Hochschuldidaktik und
Lehrerbildung Mathematik. Wiesbaden: Springer Fachmedien Wiesbaden, 2022.
https://doi.org/10.1007/978-3-658-34067-4_20.'
ieee: 'M. Hoffmann and R. Biehler, “Schnittstellenaufgaben in der Analysis I zur
Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse
einer Evaluationsstudie,” in Konzepte und Studien zur Hochschuldidaktik und
Lehrerbildung Mathematik, Wiesbaden: Springer Fachmedien Wiesbaden, 2022.'
mla: Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis I
zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse
einer Evaluationsstudie.” Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung
Mathematik, Springer Fachmedien Wiesbaden, 2022, doi:10.1007/978-3-658-34067-4_20.
short: 'M. Hoffmann, R. Biehler, in: Konzepte und Studien zur Hochschuldidaktik
und Lehrerbildung Mathematik, Springer Fachmedien Wiesbaden, Wiesbaden, 2022.'
date_created: 2024-09-23T08:54:03Z
date_updated: 2024-09-25T08:27:00Z
department:
- _id: '363'
doi: 10.1007/978-3-658-34067-4_20
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-3-658-34067-4_20
place: Wiesbaden
publication: Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik
publication_identifier:
isbn:
- '9783658340667'
- '9783658340674'
issn:
- 2197-8751
- 2197-876X
publication_status: published
publisher: Springer Fachmedien Wiesbaden
status: public
title: Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik
– Aufgabenbeispiel und Ergebnisse einer Evaluationsstudie
type: book_chapter
user_id: '37888'
year: '2022'
...
---
_id: '43231'
author:
- first_name: Susanne
full_name: Podworny, Susanne
id: '30619'
last_name: Podworny
orcid: 0000-0002-6313-5987
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Podworny S, Frischemeier D, Biehler R. Civic Statistics for Prospective Teachers:
Developing Content and Pedagogical Content Knowledge Through Project Work. In:
Statistics for Empowerment and Social Engagement. Springer International
Publishing; 2022. doi:10.1007/978-3-031-20748-8_15'
apa: 'Podworny, S., Frischemeier, D., & Biehler, R. (2022). Civic Statistics
for Prospective Teachers: Developing Content and Pedagogical Content Knowledge
Through Project Work. In Statistics for Empowerment and Social Engagement.
Springer International Publishing. https://doi.org/10.1007/978-3-031-20748-8_15'
bibtex: '@inbook{Podworny_Frischemeier_Biehler_2022, place={Cham}, title={Civic
Statistics for Prospective Teachers: Developing Content and Pedagogical Content
Knowledge Through Project Work}, DOI={10.1007/978-3-031-20748-8_15},
booktitle={Statistics for Empowerment and Social Engagement}, publisher={Springer
International Publishing}, author={Podworny, Susanne and Frischemeier, Daniel
and Biehler, Rolf}, year={2022} }'
chicago: 'Podworny, Susanne, Daniel Frischemeier, and Rolf Biehler. “Civic Statistics
for Prospective Teachers: Developing Content and Pedagogical Content Knowledge
Through Project Work.” In Statistics for Empowerment and Social Engagement.
Cham: Springer International Publishing, 2022. https://doi.org/10.1007/978-3-031-20748-8_15.'
ieee: 'S. Podworny, D. Frischemeier, and R. Biehler, “Civic Statistics for Prospective
Teachers: Developing Content and Pedagogical Content Knowledge Through Project
Work,” in Statistics for Empowerment and Social Engagement, Cham: Springer
International Publishing, 2022.'
mla: 'Podworny, Susanne, et al. “Civic Statistics for Prospective Teachers: Developing
Content and Pedagogical Content Knowledge Through Project Work.” Statistics
for Empowerment and Social Engagement, Springer International Publishing,
2022, doi:10.1007/978-3-031-20748-8_15.'
short: 'S. Podworny, D. Frischemeier, R. Biehler, in: Statistics for Empowerment
and Social Engagement, Springer International Publishing, Cham, 2022.'
date_created: 2023-03-30T13:11:51Z
date_updated: 2024-09-25T08:29:42Z
department:
- _id: '363'
doi: 10.1007/978-3-031-20748-8_15
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.1007/978-3-031-20748-8_15
place: Cham
publication: Statistics for Empowerment and Social Engagement
publication_identifier:
isbn:
- '9783031207471'
- '9783031207488'
publication_status: published
publisher: Springer International Publishing
status: public
title: 'Civic Statistics for Prospective Teachers: Developing Content and Pedagogical
Content Knowledge Through Project Work'
type: book_chapter
user_id: '37888'
year: '2022'
...
---
_id: '43230'
author:
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
- first_name: Susanne
full_name: Podworny, Susanne
id: '30619'
last_name: Podworny
orcid: 0000-0002-6313-5987
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Frischemeier D, Podworny S, Biehler R. Data Visualization Packages for Non-inferential
Civic Statistics in High School Classrooms. In: Statistics for Empowerment
and Social Engagement. Springer International Publishing; 2022:199-236. doi:10.1007/978-3-031-20748-8_9'
apa: Frischemeier, D., Podworny, S., & Biehler, R. (2022). Data Visualization
Packages for Non-inferential Civic Statistics in High School Classrooms. In Statistics
for Empowerment and Social Engagement (pp. 199–236). Springer International
Publishing. https://doi.org/10.1007/978-3-031-20748-8_9
bibtex: '@inbook{Frischemeier_Podworny_Biehler_2022, place={Cham}, title={Data Visualization
Packages for Non-inferential Civic Statistics in High School Classrooms}, DOI={10.1007/978-3-031-20748-8_9},
booktitle={Statistics for Empowerment and Social Engagement}, publisher={Springer
International Publishing}, author={Frischemeier, Daniel and Podworny, Susanne
and Biehler, Rolf}, year={2022}, pages={199–236} }'
chicago: 'Frischemeier, Daniel, Susanne Podworny, and Rolf Biehler. “Data Visualization
Packages for Non-Inferential Civic Statistics in High School Classrooms.” In Statistics
for Empowerment and Social Engagement, 199–236. Cham: Springer International
Publishing, 2022. https://doi.org/10.1007/978-3-031-20748-8_9.'
ieee: 'D. Frischemeier, S. Podworny, and R. Biehler, “Data Visualization Packages
for Non-inferential Civic Statistics in High School Classrooms,” in Statistics
for Empowerment and Social Engagement, Cham: Springer International Publishing,
2022, pp. 199–236.'
mla: Frischemeier, Daniel, et al. “Data Visualization Packages for Non-Inferential
Civic Statistics in High School Classrooms.” Statistics for Empowerment and
Social Engagement, Springer International Publishing, 2022, pp. 199–236, doi:10.1007/978-3-031-20748-8_9.
short: 'D. Frischemeier, S. Podworny, R. Biehler, in: Statistics for Empowerment
and Social Engagement, Springer International Publishing, Cham, 2022, pp. 199–236.'
date_created: 2023-03-30T13:08:32Z
date_updated: 2024-09-25T08:29:55Z
department:
- _id: '363'
doi: 10.1007/978-3-031-20748-8_9
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.1007/978-3-031-20748-8_9
page: 199-236
place: Cham
publication: Statistics for Empowerment and Social Engagement
publication_identifier:
isbn:
- '9783031207471'
- '9783031207488'
publication_status: published
publisher: Springer International Publishing
status: public
title: Data Visualization Packages for Non-inferential Civic Statistics in High School
Classrooms
type: book_chapter
user_id: '37888'
year: '2022'
...
---
_id: '39062'
author:
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: Angelo
full_name: Profeta, Angelo
last_name: Profeta
- first_name: Sandra
full_name: Krämer, Sandra
last_name: Krämer
- first_name: Sarah
full_name: Schlüter, Sarah
last_name: Schlüter
- first_name: Silvia
full_name: Becher, Silvia
last_name: Becher
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Tobias
full_name: Mai, Tobias
last_name: Mai
- first_name: Angela
full_name: Schmitz, Angela
last_name: Schmitz
citation:
ama: 'Liebendörfer M, Profeta A, Krämer S, et al. Enriching videos with interactive
questions to enhance students’ cognitive activity: concept and implementation.
In: ; 2022.'
apa: 'Liebendörfer, M., Profeta, A., Krämer, S., Schlüter, S., Becher, S., Biehler,
R., Mai, T., & Schmitz, A. (2022). Enriching videos with interactive questions
to enhance students’ cognitive activity: concept and implementation. Twelfth
Congress of the European Society for Research in Mathematics Education (CERME12),
Bozen-Bolzano, Italy.'
bibtex: '@inproceedings{Liebendörfer_Profeta_Krämer_Schlüter_Becher_Biehler_Mai_Schmitz_2022,
title={Enriching videos with interactive questions to enhance students’ cognitive
activity: concept and implementation}, author={Liebendörfer, Michael and Profeta,
Angelo and Krämer, Sandra and Schlüter, Sarah and Becher, Silvia and Biehler,
Rolf and Mai, Tobias and Schmitz, Angela}, year={2022} }'
chicago: 'Liebendörfer, Michael, Angelo Profeta, Sandra Krämer, Sarah Schlüter,
Silvia Becher, Rolf Biehler, Tobias Mai, and Angela Schmitz. “Enriching Videos
with Interactive Questions to Enhance Students’ Cognitive Activity: Concept and
Implementation,” 2022.'
ieee: 'M. Liebendörfer et al., “Enriching videos with interactive questions
to enhance students’ cognitive activity: concept and implementation,” presented
at the Twelfth Congress of the European Society for Research in Mathematics Education
(CERME12), Bozen-Bolzano, Italy, 2022.'
mla: 'Liebendörfer, Michael, et al. Enriching Videos with Interactive Questions
to Enhance Students’ Cognitive Activity: Concept and Implementation. 2022.'
short: 'M. Liebendörfer, A. Profeta, S. Krämer, S. Schlüter, S. Becher, R. Biehler,
T. Mai, A. Schmitz, in: 2022.'
conference:
end_date: 2022-02-06
location: Bozen-Bolzano, Italy
name: Twelfth Congress of the European Society for Research in Mathematics Education
(CERME12)
start_date: 2022-02-02
date_created: 2023-01-24T08:53:20Z
date_updated: 2024-09-25T08:30:09Z
department:
- _id: '363'
- _id: '625'
language:
- iso: eng
main_file_link:
- url: https://hal.science/hal-03749054
status: public
title: 'Enriching videos with interactive questions to enhance students’ cognitive
activity: concept and implementation'
type: conference
user_id: '37888'
year: '2022'
...
---
_id: '39064'
author:
- first_name: Susanne
full_name: Podworny, Susanne
id: '30619'
last_name: Podworny
orcid: 0000-0002-6313-5987
- first_name: Franz Yannik
full_name: Fleischer, Franz Yannik
id: '42660'
last_name: Fleischer
orcid: https://orcid.org/0000-0003-0318-0329
- first_name: Dietlinde
full_name: Stroop, Dietlinde
last_name: Stroop
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Podworny S, Fleischer FY, Stroop D, Biehler R. An example of rich, real and
multivariate survey data for use in school. In: ; 2022.'
apa: Podworny, S., Fleischer, F. Y., Stroop, D., & Biehler, R. (2022). An
example of rich, real and multivariate survey data for use in school. Twelfth
Congress of the European Society for Research in Mathematics Education (CERME12),
Bozen-Bolzano, Italy.
bibtex: '@inproceedings{Podworny_Fleischer_Stroop_Biehler_2022, title={An example
of rich, real and multivariate survey data for use in school}, author={Podworny,
Susanne and Fleischer, Franz Yannik and Stroop, Dietlinde and Biehler, Rolf},
year={2022} }'
chicago: Podworny, Susanne, Franz Yannik Fleischer, Dietlinde Stroop, and Rolf Biehler.
“An Example of Rich, Real and Multivariate Survey Data for Use in School,” 2022.
ieee: S. Podworny, F. Y. Fleischer, D. Stroop, and R. Biehler, “An example of rich,
real and multivariate survey data for use in school,” presented at the Twelfth
Congress of the European Society for Research in Mathematics Education (CERME12),
Bozen-Bolzano, Italy, 2022.
mla: Podworny, Susanne, et al. An Example of Rich, Real and Multivariate Survey
Data for Use in School. 2022.
short: 'S. Podworny, F.Y. Fleischer, D. Stroop, R. Biehler, in: 2022.'
conference:
end_date: 2022-02-06
location: Bozen-Bolzano, Italy
name: Twelfth Congress of the European Society for Research in Mathematics Education
(CERME12)
start_date: 2022-02-02
date_created: 2023-01-24T08:55:09Z
date_updated: 2024-09-25T08:29:28Z
department:
- _id: '363'
language:
- iso: eng
main_file_link:
- url: https://hal.archives-ouvertes.fr/hal-03751842
status: public
title: An example of rich, real and multivariate survey data for use in school
type: conference
user_id: '37888'
year: '2022'
...