---
_id: '40371'
abstract:
- lang: eng
  text: <jats:p>Multimode integrated interferometers have great potential for both
    spectral engineering and metrological applications. However, the material dispersion
    of integrated platforms constitutes an obstacle that limits the performance and
    precision of such interferometers. At the same time, two-colour nonlinear interferometers
    present an important tool for metrological applications, when measurements in
    a certain frequency range are difficult. In this manuscript, we theoretically
    developed and investigated an integrated multimode two-colour SU(1,1) interferometer
    operating in a supersensitive mode. By ensuring the proper design of the integrated
    platform, we suppressed the dispersion, thereby significantly increasing the visibility
    of the interference pattern. The use of a continuous wave pump laser provided
    the symmetry between the spectral shapes of the signal and idler photons concerning
    half the pump frequency, despite different photon colours. We demonstrate that
    such an interferometer overcomes the classical phase sensitivity limit for wide
    parametric gain ranges, when up to 3×104 photons are generated.</jats:p>
article_number: '552'
author:
- first_name: Alessandro
  full_name: Ferreri, Alessandro
  last_name: Ferreri
- first_name: Polina R.
  full_name: Sharapova, Polina R.
  id: '60286'
  last_name: Sharapova
citation:
  ama: Ferreri A, Sharapova PR. Two-Colour Spectrally Multimode Integrated SU(1,1)
    Interferometer. <i>Symmetry</i>. 2022;14(3). doi:<a href="https://doi.org/10.3390/sym14030552">10.3390/sym14030552</a>
  apa: Ferreri, A., &#38; Sharapova, P. R. (2022). Two-Colour Spectrally Multimode
    Integrated SU(1,1) Interferometer. <i>Symmetry</i>, <i>14</i>(3), Article 552.
    <a href="https://doi.org/10.3390/sym14030552">https://doi.org/10.3390/sym14030552</a>
  bibtex: '@article{Ferreri_Sharapova_2022, title={Two-Colour Spectrally Multimode
    Integrated SU(1,1) Interferometer}, volume={14}, DOI={<a href="https://doi.org/10.3390/sym14030552">10.3390/sym14030552</a>},
    number={3552}, journal={Symmetry}, publisher={MDPI AG}, author={Ferreri, Alessandro
    and Sharapova, Polina R.}, year={2022} }'
  chicago: Ferreri, Alessandro, and Polina R. Sharapova. “Two-Colour Spectrally Multimode
    Integrated SU(1,1) Interferometer.” <i>Symmetry</i> 14, no. 3 (2022). <a href="https://doi.org/10.3390/sym14030552">https://doi.org/10.3390/sym14030552</a>.
  ieee: 'A. Ferreri and P. R. Sharapova, “Two-Colour Spectrally Multimode Integrated
    SU(1,1) Interferometer,” <i>Symmetry</i>, vol. 14, no. 3, Art. no. 552, 2022,
    doi: <a href="https://doi.org/10.3390/sym14030552">10.3390/sym14030552</a>.'
  mla: Ferreri, Alessandro, and Polina R. Sharapova. “Two-Colour Spectrally Multimode
    Integrated SU(1,1) Interferometer.” <i>Symmetry</i>, vol. 14, no. 3, 552, MDPI
    AG, 2022, doi:<a href="https://doi.org/10.3390/sym14030552">10.3390/sym14030552</a>.
  short: A. Ferreri, P.R. Sharapova, Symmetry 14 (2022).
date_created: 2023-01-26T13:54:00Z
date_updated: 2025-12-16T11:27:11Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '429'
- _id: '230'
- _id: '9'
- _id: '27'
doi: 10.3390/sym14030552
intvolume: '        14'
issue: '3'
keyword:
- Physics and Astronomy (miscellaneous)
- General Mathematics
- Chemistry (miscellaneous)
- Computer Science (miscellaneous)
language:
- iso: eng
project:
- _id: '53'
  name: 'TRR 142: TRR 142'
- _id: '56'
  name: 'TRR 142 - C: TRR 142 - Project Area C'
- _id: '72'
  name: 'TRR 142 - C2: TRR 142 - Subproject C2'
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Symmetry
publication_identifier:
  issn:
  - 2073-8994
publication_status: published
publisher: MDPI AG
status: public
title: Two-Colour Spectrally Multimode Integrated SU(1,1) Interferometer
type: journal_article
user_id: '16199'
volume: 14
year: '2022'
...
---
_id: '30864'
article_number: '117357'
author:
- first_name: Andreas
  full_name: Schulz, Andreas
  last_name: Schulz
- first_name: Christian
  full_name: Wecker, Christian
  last_name: Wecker
- first_name: Venkatesh
  full_name: Inguva, Venkatesh
  last_name: Inguva
- first_name: Alexey S.
  full_name: Lopatin, Alexey S.
  last_name: Lopatin
- first_name: Eugeny Y.
  full_name: Kenig, Eugeny Y.
  last_name: Kenig
citation:
  ama: Schulz A, Wecker C, Inguva V, Lopatin AS, Kenig EY. A PLIC-based method for
    species mass transfer at free fluid interfaces. <i>Chemical Engineering Science</i>.
    2021;251. doi:<a href="https://doi.org/10.1016/j.ces.2021.117357">10.1016/j.ces.2021.117357</a>
  apa: Schulz, A., Wecker, C., Inguva, V., Lopatin, A. S., &#38; Kenig, E. Y. (2021).
    A PLIC-based method for species mass transfer at free fluid interfaces. <i>Chemical
    Engineering Science</i>, <i>251</i>, Article 117357. <a href="https://doi.org/10.1016/j.ces.2021.117357">https://doi.org/10.1016/j.ces.2021.117357</a>
  bibtex: '@article{Schulz_Wecker_Inguva_Lopatin_Kenig_2021, title={A PLIC-based method
    for species mass transfer at free fluid interfaces}, volume={251}, DOI={<a href="https://doi.org/10.1016/j.ces.2021.117357">10.1016/j.ces.2021.117357</a>},
    number={117357}, journal={Chemical Engineering Science}, publisher={Elsevier BV},
    author={Schulz, Andreas and Wecker, Christian and Inguva, Venkatesh and Lopatin,
    Alexey S. and Kenig, Eugeny Y.}, year={2021} }'
  chicago: Schulz, Andreas, Christian Wecker, Venkatesh Inguva, Alexey S. Lopatin,
    and Eugeny Y. Kenig. “A PLIC-Based Method for Species Mass Transfer at Free Fluid
    Interfaces.” <i>Chemical Engineering Science</i> 251 (2021). <a href="https://doi.org/10.1016/j.ces.2021.117357">https://doi.org/10.1016/j.ces.2021.117357</a>.
  ieee: 'A. Schulz, C. Wecker, V. Inguva, A. S. Lopatin, and E. Y. Kenig, “A PLIC-based
    method for species mass transfer at free fluid interfaces,” <i>Chemical Engineering
    Science</i>, vol. 251, Art. no. 117357, 2021, doi: <a href="https://doi.org/10.1016/j.ces.2021.117357">10.1016/j.ces.2021.117357</a>.'
  mla: Schulz, Andreas, et al. “A PLIC-Based Method for Species Mass Transfer at Free
    Fluid Interfaces.” <i>Chemical Engineering Science</i>, vol. 251, 117357, Elsevier
    BV, 2021, doi:<a href="https://doi.org/10.1016/j.ces.2021.117357">10.1016/j.ces.2021.117357</a>.
  short: A. Schulz, C. Wecker, V. Inguva, A.S. Lopatin, E.Y. Kenig, Chemical Engineering
    Science 251 (2021).
date_created: 2022-04-12T11:39:54Z
date_updated: 2022-04-12T11:41:50Z
doi: 10.1016/j.ces.2021.117357
intvolume: '       251'
keyword:
- Applied Mathematics
- Industrial and Manufacturing Engineering
- General Chemical Engineering
- General Chemistry
language:
- iso: eng
publication: Chemical Engineering Science
publication_identifier:
  issn:
  - 0009-2509
publication_status: published
publisher: Elsevier BV
status: public
title: A PLIC-based method for species mass transfer at free fluid interfaces
type: journal_article
user_id: '63109'
volume: 251
year: '2021'
...
---
_id: '30907'
author:
- first_name: Alfonso
  full_name: Rodriguez, Alfonso
  last_name: Rodriguez
- first_name: Andres
  full_name: Otero, Andres
  last_name: Otero
- first_name: Marco
  full_name: Platzner, Marco
  id: '398'
  last_name: Platzner
- first_name: Eduardo
  full_name: De la Torre, Eduardo
  last_name: De la Torre
citation:
  ama: Rodriguez A, Otero A, Platzner M, De la Torre E. Exploiting Hardware-Based
    Data-Parallel and Multithreading Models for Smart Edge Computing in Reconfigurable
    FPGAs. <i>IEEE Transactions on Computers</i>. Published online 2021:1-1. doi:<a
    href="https://doi.org/10.1109/tc.2021.3107196">10.1109/tc.2021.3107196</a>
  apa: Rodriguez, A., Otero, A., Platzner, M., &#38; De la Torre, E. (2021). Exploiting
    Hardware-Based Data-Parallel and Multithreading Models for Smart Edge Computing
    in Reconfigurable FPGAs. <i>IEEE Transactions on Computers</i>, 1–1. <a href="https://doi.org/10.1109/tc.2021.3107196">https://doi.org/10.1109/tc.2021.3107196</a>
  bibtex: '@article{Rodriguez_Otero_Platzner_De la Torre_2021, title={Exploiting Hardware-Based
    Data-Parallel and Multithreading Models for Smart Edge Computing in Reconfigurable
    FPGAs}, DOI={<a href="https://doi.org/10.1109/tc.2021.3107196">10.1109/tc.2021.3107196</a>},
    journal={IEEE Transactions on Computers}, publisher={Institute of Electrical and
    Electronics Engineers (IEEE)}, author={Rodriguez, Alfonso and Otero, Andres and
    Platzner, Marco and De la Torre, Eduardo}, year={2021}, pages={1–1} }'
  chicago: Rodriguez, Alfonso, Andres Otero, Marco Platzner, and Eduardo De la Torre.
    “Exploiting Hardware-Based Data-Parallel and Multithreading Models for Smart Edge
    Computing in Reconfigurable FPGAs.” <i>IEEE Transactions on Computers</i>, 2021,
    1–1. <a href="https://doi.org/10.1109/tc.2021.3107196">https://doi.org/10.1109/tc.2021.3107196</a>.
  ieee: 'A. Rodriguez, A. Otero, M. Platzner, and E. De la Torre, “Exploiting Hardware-Based
    Data-Parallel and Multithreading Models for Smart Edge Computing in Reconfigurable
    FPGAs,” <i>IEEE Transactions on Computers</i>, pp. 1–1, 2021, doi: <a href="https://doi.org/10.1109/tc.2021.3107196">10.1109/tc.2021.3107196</a>.'
  mla: Rodriguez, Alfonso, et al. “Exploiting Hardware-Based Data-Parallel and Multithreading
    Models for Smart Edge Computing in Reconfigurable FPGAs.” <i>IEEE Transactions
    on Computers</i>, Institute of Electrical and Electronics Engineers (IEEE), 2021,
    pp. 1–1, doi:<a href="https://doi.org/10.1109/tc.2021.3107196">10.1109/tc.2021.3107196</a>.
  short: A. Rodriguez, A. Otero, M. Platzner, E. De la Torre, IEEE Transactions on
    Computers (2021) 1–1.
date_created: 2022-04-18T10:03:16Z
date_updated: 2022-04-18T10:04:21Z
department:
- _id: '78'
doi: 10.1109/tc.2021.3107196
keyword:
- Computational Theory and Mathematics
- Hardware and Architecture
- Theoretical Computer Science
- Software
language:
- iso: eng
page: 1-1
publication: IEEE Transactions on Computers
publication_identifier:
  issn:
  - 0018-9340
  - 1557-9956
  - 2326-3814
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
status: public
title: Exploiting Hardware-Based Data-Parallel and Multithreading Models for Smart
  Edge Computing in Reconfigurable FPGAs
type: journal_article
user_id: '398'
year: '2021'
...
---
_id: '34042'
author:
- first_name: Jiaao
  full_name: Li, Jiaao
  last_name: Li
- first_name: Yulai
  full_name: Ma, Yulai
  id: '92748'
  last_name: Ma
- first_name: Zhengke
  full_name: Miao, Zhengke
  last_name: Miao
- first_name: Yongtang
  full_name: Shi, Yongtang
  last_name: Shi
- first_name: Weifan
  full_name: Wang, Weifan
  last_name: Wang
- first_name: Cun-Quan
  full_name: Zhang, Cun-Quan
  last_name: Zhang
citation:
  ama: Li J, Ma Y, Miao Z, Shi Y, Wang W, Zhang C-Q. Nowhere-zero 3-flows in toroidal
    graphs. <i>Journal of Combinatorial Theory, Series B</i>. 2021;153:61-80. doi:<a
    href="https://doi.org/10.1016/j.jctb.2021.11.001">10.1016/j.jctb.2021.11.001</a>
  apa: Li, J., Ma, Y., Miao, Z., Shi, Y., Wang, W., &#38; Zhang, C.-Q. (2021). Nowhere-zero
    3-flows in toroidal graphs. <i>Journal of Combinatorial Theory, Series B</i>,
    <i>153</i>, 61–80. <a href="https://doi.org/10.1016/j.jctb.2021.11.001">https://doi.org/10.1016/j.jctb.2021.11.001</a>
  bibtex: '@article{Li_Ma_Miao_Shi_Wang_Zhang_2021, title={Nowhere-zero 3-flows in
    toroidal graphs}, volume={153}, DOI={<a href="https://doi.org/10.1016/j.jctb.2021.11.001">10.1016/j.jctb.2021.11.001</a>},
    journal={Journal of Combinatorial Theory, Series B}, publisher={Elsevier BV},
    author={Li, Jiaao and Ma, Yulai and Miao, Zhengke and Shi, Yongtang and Wang,
    Weifan and Zhang, Cun-Quan}, year={2021}, pages={61–80} }'
  chicago: 'Li, Jiaao, Yulai Ma, Zhengke Miao, Yongtang Shi, Weifan Wang, and Cun-Quan
    Zhang. “Nowhere-Zero 3-Flows in Toroidal Graphs.” <i>Journal of Combinatorial
    Theory, Series B</i> 153 (2021): 61–80. <a href="https://doi.org/10.1016/j.jctb.2021.11.001">https://doi.org/10.1016/j.jctb.2021.11.001</a>.'
  ieee: 'J. Li, Y. Ma, Z. Miao, Y. Shi, W. Wang, and C.-Q. Zhang, “Nowhere-zero 3-flows
    in toroidal graphs,” <i>Journal of Combinatorial Theory, Series B</i>, vol. 153,
    pp. 61–80, 2021, doi: <a href="https://doi.org/10.1016/j.jctb.2021.11.001">10.1016/j.jctb.2021.11.001</a>.'
  mla: Li, Jiaao, et al. “Nowhere-Zero 3-Flows in Toroidal Graphs.” <i>Journal of
    Combinatorial Theory, Series B</i>, vol. 153, Elsevier BV, 2021, pp. 61–80, doi:<a
    href="https://doi.org/10.1016/j.jctb.2021.11.001">10.1016/j.jctb.2021.11.001</a>.
  short: J. Li, Y. Ma, Z. Miao, Y. Shi, W. Wang, C.-Q. Zhang, Journal of Combinatorial
    Theory, Series B 153 (2021) 61–80.
date_created: 2022-11-09T08:43:55Z
date_updated: 2022-11-09T08:44:37Z
department:
- _id: '542'
doi: 10.1016/j.jctb.2021.11.001
intvolume: '       153'
keyword:
- Computational Theory and Mathematics
- Discrete Mathematics and Combinatorics
- Theoretical Computer Science
language:
- iso: eng
page: 61-80
publication: Journal of Combinatorial Theory, Series B
publication_identifier:
  issn:
  - 0095-8956
publication_status: published
publisher: Elsevier BV
status: public
title: Nowhere-zero 3-flows in toroidal graphs
type: journal_article
user_id: '15540'
volume: 153
year: '2021'
...
---
_id: '31261'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>For a compact
    Riemannian locally symmetric space $\\mathcal M$ of rank 1 and an associated vector
    bundle $\\mathbf V_{\\tau }$ over the unit cosphere bundle $S^{\\ast }\\mathcal
    M$, we give a precise description of those classical (Pollicott–Ruelle) resonant
    states on $\\mathbf V_{\\tau }$ that vanish under covariant derivatives in the
    Anosov-unstable directions of the chaotic geodesic flow on $S^{\\ast }\\mathcal
    M$. In particular, we show that they are isomorphically mapped by natural pushforwards
    into generalized common eigenspaces of the algebra of invariant differential operators
    $D(G,\\sigma )$ on compatible associated vector bundles $\\mathbf W_{\\sigma }$
    over $\\mathcal M$. As a consequence of this description, we obtain an exact band
    structure of the Pollicott–Ruelle spectrum. Further, under some mild assumptions
    on the representations $\\tau$ and $\\sigma$ defining the bundles $\\mathbf V_{\\tau
    }$ and $\\mathbf W_{\\sigma }$, we obtain a very explicit description of the generalized
    common eigenspaces. This allows us to relate classical Pollicott–Ruelle resonances
    to quantum eigenvalues of a Laplacian in a suitable Hilbert space of sections
    of $\\mathbf W_{\\sigma }$. Our methods of proof are based on representation theory
    and Lie theory.</jats:p>"
author:
- first_name: Benjamin
  full_name: Küster, Benjamin
  last_name: Küster
- first_name: Tobias
  full_name: Weich, Tobias
  last_name: Weich
citation:
  ama: Küster B, Weich T. Quantum-Classical Correspondence on Associated Vector Bundles
    Over Locally Symmetric Spaces. <i>International Mathematics Research Notices</i>.
    2021;2021(11):8225-8296. doi:<a href="https://doi.org/10.1093/imrn/rnz068">10.1093/imrn/rnz068</a>
  apa: Küster, B., &#38; Weich, T. (2021). Quantum-Classical Correspondence on Associated
    Vector Bundles Over Locally Symmetric Spaces. <i>International Mathematics Research
    Notices</i>, <i>2021</i>(11), 8225–8296. <a href="https://doi.org/10.1093/imrn/rnz068">https://doi.org/10.1093/imrn/rnz068</a>
  bibtex: '@article{Küster_Weich_2021, title={Quantum-Classical Correspondence on
    Associated Vector Bundles Over Locally Symmetric Spaces}, volume={2021}, DOI={<a
    href="https://doi.org/10.1093/imrn/rnz068">10.1093/imrn/rnz068</a>}, number={11},
    journal={International Mathematics Research Notices}, publisher={Oxford University
    Press (OUP)}, author={Küster, Benjamin and Weich, Tobias}, year={2021}, pages={8225–8296}
    }'
  chicago: 'Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence
    on Associated Vector Bundles Over Locally Symmetric Spaces.” <i>International
    Mathematics Research Notices</i> 2021, no. 11 (2021): 8225–96. <a href="https://doi.org/10.1093/imrn/rnz068">https://doi.org/10.1093/imrn/rnz068</a>.'
  ieee: 'B. Küster and T. Weich, “Quantum-Classical Correspondence on Associated Vector
    Bundles Over Locally Symmetric Spaces,” <i>International Mathematics Research
    Notices</i>, vol. 2021, no. 11, pp. 8225–8296, 2021, doi: <a href="https://doi.org/10.1093/imrn/rnz068">10.1093/imrn/rnz068</a>.'
  mla: Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated
    Vector Bundles Over Locally Symmetric Spaces.” <i>International Mathematics Research
    Notices</i>, vol. 2021, no. 11, Oxford University Press (OUP), 2021, pp. 8225–96,
    doi:<a href="https://doi.org/10.1093/imrn/rnz068">10.1093/imrn/rnz068</a>.
  short: B. Küster, T. Weich, International Mathematics Research Notices 2021 (2021)
    8225–8296.
date_created: 2022-05-17T12:00:36Z
date_updated: 2022-05-25T06:42:01Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.1093/imrn/rnz068
external_id:
  arxiv:
  - '1710.04625'
intvolume: '      2021'
issue: '11'
keyword:
- General Mathematics
language:
- iso: eng
page: 8225-8296
publication: International Mathematics Research Notices
publication_identifier:
  issn:
  - 1073-7928
  - 1687-0247
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Quantum-Classical Correspondence on Associated Vector Bundles Over Locally
  Symmetric Spaces
type: journal_article
user_id: '49178'
volume: 2021
year: '2021'
...
---
_id: '32810'
article_number: '103451'
author:
- first_name: Jiaao
  full_name: Li, Jiaao
  last_name: Li
- first_name: Yulai
  full_name: Ma, Yulai
  id: '92748'
  last_name: Ma
- first_name: Yongtang
  full_name: Shi, Yongtang
  last_name: Shi
- first_name: Weifan
  full_name: Wang, Weifan
  last_name: Wang
- first_name: Yezhou
  full_name: Wu, Yezhou
  last_name: Wu
citation:
  ama: Li J, Ma Y, Shi Y, Wang W, Wu Y. On 3-flow-critical graphs. <i>European Journal
    of Combinatorics</i>. 2021;100. doi:<a href="https://doi.org/10.1016/j.ejc.2021.103451">10.1016/j.ejc.2021.103451</a>
  apa: Li, J., Ma, Y., Shi, Y., Wang, W., &#38; Wu, Y. (2021). On 3-flow-critical
    graphs. <i>European Journal of Combinatorics</i>, <i>100</i>, Article 103451.
    <a href="https://doi.org/10.1016/j.ejc.2021.103451">https://doi.org/10.1016/j.ejc.2021.103451</a>
  bibtex: '@article{Li_Ma_Shi_Wang_Wu_2021, title={On 3-flow-critical graphs}, volume={100},
    DOI={<a href="https://doi.org/10.1016/j.ejc.2021.103451">10.1016/j.ejc.2021.103451</a>},
    number={103451}, journal={European Journal of Combinatorics}, publisher={Elsevier
    BV}, author={Li, Jiaao and Ma, Yulai and Shi, Yongtang and Wang, Weifan and Wu,
    Yezhou}, year={2021} }'
  chicago: Li, Jiaao, Yulai Ma, Yongtang Shi, Weifan Wang, and Yezhou Wu. “On 3-Flow-Critical
    Graphs.” <i>European Journal of Combinatorics</i> 100 (2021). <a href="https://doi.org/10.1016/j.ejc.2021.103451">https://doi.org/10.1016/j.ejc.2021.103451</a>.
  ieee: 'J. Li, Y. Ma, Y. Shi, W. Wang, and Y. Wu, “On 3-flow-critical graphs,” <i>European
    Journal of Combinatorics</i>, vol. 100, Art. no. 103451, 2021, doi: <a href="https://doi.org/10.1016/j.ejc.2021.103451">10.1016/j.ejc.2021.103451</a>.'
  mla: Li, Jiaao, et al. “On 3-Flow-Critical Graphs.” <i>European Journal of Combinatorics</i>,
    vol. 100, 103451, Elsevier BV, 2021, doi:<a href="https://doi.org/10.1016/j.ejc.2021.103451">10.1016/j.ejc.2021.103451</a>.
  short: J. Li, Y. Ma, Y. Shi, W. Wang, Y. Wu, European Journal of Combinatorics 100
    (2021).
date_created: 2022-08-15T09:35:02Z
date_updated: 2022-08-15T09:35:32Z
department:
- _id: '542'
doi: 10.1016/j.ejc.2021.103451
intvolume: '       100'
keyword:
- Discrete Mathematics and Combinatorics
language:
- iso: eng
publication: European Journal of Combinatorics
publication_identifier:
  issn:
  - 0195-6698
publication_status: published
publisher: Elsevier BV
status: public
title: On 3-flow-critical graphs
type: journal_article
user_id: '15540'
volume: 100
year: '2021'
...
---
_id: '33657'
article_number: '110567'
author:
- first_name: Hossein
  full_name: Mirhosseini, Hossein
  id: '71051'
  last_name: Mirhosseini
  orcid: 0000-0001-6179-1545
- first_name: Hossein
  full_name: Tahmasbi, Hossein
  last_name: Tahmasbi
- first_name: Sai Ram
  full_name: Kuchana, Sai Ram
  last_name: Kuchana
- first_name: Alireza
  full_name: Ghasemi, Alireza
  id: '77282'
  last_name: Ghasemi
- first_name: Thomas
  full_name: Kühne, Thomas
  id: '49079'
  last_name: Kühne
citation:
  ama: Mirhosseini H, Tahmasbi H, Kuchana SR, Ghasemi A, Kühne T. An automated approach
    for developing neural network interatomic potentials with FLAME. <i>Computational
    Materials Science</i>. 2021;197. doi:<a href="https://doi.org/10.1016/j.commatsci.2021.110567">10.1016/j.commatsci.2021.110567</a>
  apa: Mirhosseini, H., Tahmasbi, H., Kuchana, S. R., Ghasemi, A., &#38; Kühne, T.
    (2021). An automated approach for developing neural network interatomic potentials
    with FLAME. <i>Computational Materials Science</i>, <i>197</i>, Article 110567.
    <a href="https://doi.org/10.1016/j.commatsci.2021.110567">https://doi.org/10.1016/j.commatsci.2021.110567</a>
  bibtex: '@article{Mirhosseini_Tahmasbi_Kuchana_Ghasemi_Kühne_2021, title={An automated
    approach for developing neural network interatomic potentials with FLAME}, volume={197},
    DOI={<a href="https://doi.org/10.1016/j.commatsci.2021.110567">10.1016/j.commatsci.2021.110567</a>},
    number={110567}, journal={Computational Materials Science}, publisher={Elsevier
    BV}, author={Mirhosseini, Hossein and Tahmasbi, Hossein and Kuchana, Sai Ram and
    Ghasemi, Alireza and Kühne, Thomas}, year={2021} }'
  chicago: Mirhosseini, Hossein, Hossein Tahmasbi, Sai Ram Kuchana, Alireza Ghasemi,
    and Thomas Kühne. “An Automated Approach for Developing Neural Network Interatomic
    Potentials with FLAME.” <i>Computational Materials Science</i> 197 (2021). <a
    href="https://doi.org/10.1016/j.commatsci.2021.110567">https://doi.org/10.1016/j.commatsci.2021.110567</a>.
  ieee: 'H. Mirhosseini, H. Tahmasbi, S. R. Kuchana, A. Ghasemi, and T. Kühne, “An
    automated approach for developing neural network interatomic potentials with FLAME,”
    <i>Computational Materials Science</i>, vol. 197, Art. no. 110567, 2021, doi:
    <a href="https://doi.org/10.1016/j.commatsci.2021.110567">10.1016/j.commatsci.2021.110567</a>.'
  mla: Mirhosseini, Hossein, et al. “An Automated Approach for Developing Neural Network
    Interatomic Potentials with FLAME.” <i>Computational Materials Science</i>, vol.
    197, 110567, Elsevier BV, 2021, doi:<a href="https://doi.org/10.1016/j.commatsci.2021.110567">10.1016/j.commatsci.2021.110567</a>.
  short: H. Mirhosseini, H. Tahmasbi, S.R. Kuchana, A. Ghasemi, T. Kühne, Computational
    Materials Science 197 (2021).
date_created: 2022-10-10T08:23:50Z
date_updated: 2022-10-10T08:24:13Z
department:
- _id: '613'
doi: 10.1016/j.commatsci.2021.110567
intvolume: '       197'
keyword:
- Computational Mathematics
- General Physics and Astronomy
- Mechanics of Materials
- General Materials Science
- General Chemistry
- General Computer Science
language:
- iso: eng
publication: Computational Materials Science
publication_identifier:
  issn:
  - 0927-0256
publication_status: published
publisher: Elsevier BV
status: public
title: An automated approach for developing neural network interatomic potentials
  with FLAME
type: journal_article
user_id: '71051'
volume: 197
year: '2021'
...
---
_id: '34827'
abstract:
- lang: eng
  text: <jats:title>Zusammenfassung</jats:title><jats:p>Zu den ersten geometrischen
    Begriffen, die Kinder bereits im Elementar- und Primarbereich lernen, zählen u. a.
    Viereck, Rechteck und Quadrat. Studien zeigen, dass Lernende bereits früh individuelle
    Vorstellungen, sog. <jats:italic>individuelle Begriffskonzepte,</jats:italic>
    zu diesen Begriffen aufbauen. Zwar wird die Entwicklung von Begriffsverständnis
    in verschiedenen mathematikdidaktischen Stufenmodellen dargestellt, diese sind
    jedoch generisch und beschreiben nicht explizit die Entwicklung der ersten <jats:italic>individuellen
    Begriffskonzepte </jats:italic>von Lernenden zu Viereck, Rechteck und Quadrat.
    Aus empirischer Sicht liegen verschiedene Studien vor, die einzelne Aspekte der
    individuellen Begriffskonzepte von Lernenden unterschiedlicher Altersgruppen zu
    diesen Begriffen ausleuchten. Um Begriffsbildungsprozesse aus empirischer Sicht
    detaillierter entlang der jeweils vorherrschenden individuellen Begriffskonzepte
    zu beschreiben, fehlen insbesondere Studien in der Grundschule, die alle vier
    Klassenstufen betrachten und dabei differenzierte Erkenntnisse zu verschiedenen
    theoretischen Indikatoren des Begriffsverständnisses liefern. Daher geht die vorliegende
    Studie der Frage nach, welches Verständnis der Begriffe Viereck, Rechteck und
    Quadrat Schülerinnen und Schüler der Jahrgangsstufen 1, 2, 3 und 4 zeigen. Dazu
    wurde eine Quasi-Längsschnittstudie mit <jats:italic>N</jats:italic> = 456 Grundschulkindern
    (ca. 100 pro Jahrgangsstufe) durchgeführt. Die Ergebnisse geben detaillierte Einblicke
    in die individuellen Begriffskonzepte der Lernenden und zeigen, dass Lernende
    zunehmend Eigenschaften der Figuren berücksichtigen, jedoch individuelle Begriffskonzepte
    über lange Zeit auch prototypisch geprägt sind. Implikationen dieser Ergebnisse
    für Forschung und Praxis werden diskutiert.</jats:p>
author:
- first_name: Julia
  full_name: Bruns, Julia
  id: '72183'
  last_name: Bruns
  orcid: https://orcid.org/0000-0002-6604-5864
- first_name: Elisabeth
  full_name: Unterhauser, Elisabeth
  last_name: Unterhauser
- first_name: Hedwig
  full_name: Gasteiger, Hedwig
  last_name: Gasteiger
citation:
  ama: Bruns J, Unterhauser E, Gasteiger H. Geometrisches Begriffsverständnis in der
    Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat. <i>Journal
    für Mathematik-Didaktik</i>. 2021;42(2):581-623. doi:<a href="https://doi.org/10.1007/s13138-021-00185-4">10.1007/s13138-021-00185-4</a>
  apa: Bruns, J., Unterhauser, E., &#38; Gasteiger, H. (2021). Geometrisches Begriffsverständnis
    in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat. <i>Journal
    für Mathematik-Didaktik</i>, <i>42</i>(2), 581–623. <a href="https://doi.org/10.1007/s13138-021-00185-4">https://doi.org/10.1007/s13138-021-00185-4</a>
  bibtex: '@article{Bruns_Unterhauser_Gasteiger_2021, title={Geometrisches Begriffsverständnis
    in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat}, volume={42},
    DOI={<a href="https://doi.org/10.1007/s13138-021-00185-4">10.1007/s13138-021-00185-4</a>},
    number={2}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science
    and Business Media LLC}, author={Bruns, Julia and Unterhauser, Elisabeth and Gasteiger,
    Hedwig}, year={2021}, pages={581–623} }'
  chicago: 'Bruns, Julia, Elisabeth Unterhauser, and Hedwig Gasteiger. “Geometrisches
    Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck
    und Quadrat.” <i>Journal für Mathematik-Didaktik</i> 42, no. 2 (2021): 581–623.
    <a href="https://doi.org/10.1007/s13138-021-00185-4">https://doi.org/10.1007/s13138-021-00185-4</a>.'
  ieee: 'J. Bruns, E. Unterhauser, and H. Gasteiger, “Geometrisches Begriffsverständnis
    in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat,” <i>Journal
    für Mathematik-Didaktik</i>, vol. 42, no. 2, pp. 581–623, 2021, doi: <a href="https://doi.org/10.1007/s13138-021-00185-4">10.1007/s13138-021-00185-4</a>.'
  mla: Bruns, Julia, et al. “Geometrisches Begriffsverständnis in der Grundschule
    am Beispiel der Begriffe Viereck, Rechteck und Quadrat.” <i>Journal für Mathematik-Didaktik</i>,
    vol. 42, no. 2, Springer Science and Business Media LLC, 2021, pp. 581–623, doi:<a
    href="https://doi.org/10.1007/s13138-021-00185-4">10.1007/s13138-021-00185-4</a>.
  short: J. Bruns, E. Unterhauser, H. Gasteiger, Journal für Mathematik-Didaktik 42
    (2021) 581–623.
date_created: 2022-12-22T09:26:39Z
date_updated: 2023-10-23T11:14:59Z
department:
- _id: '97'
- _id: '611'
doi: 10.1007/s13138-021-00185-4
intvolume: '        42'
issue: '2'
keyword:
- Education
- General Mathematics
language:
- iso: ger
page: 581-623
publication: Journal für Mathematik-Didaktik
publication_identifier:
  issn:
  - 0173-5322
  - 1869-2699
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe
  Viereck, Rechteck und Quadrat
type: journal_article
user_id: '72183'
volume: 42
year: '2021'
...
---
_id: '47567'
article_number: '116779'
author:
- first_name: Bastian
  full_name: Bruns, Bastian
  last_name: Bruns
- first_name: Alessandro
  full_name: Di Pretoro, Alessandro
  last_name: Di Pretoro
- first_name: Marcus
  full_name: Grünewald, Marcus
  last_name: Grünewald
- first_name: Julia
  full_name: Riese, Julia
  id: '101499'
  last_name: Riese
  orcid: 0000-0002-3053-0534
citation:
  ama: 'Bruns B, Di Pretoro A, Grünewald M, Riese J. Flexibility analysis for demand-side
    management in large-scale chemical processes: An ethylene oxide production case
    study. <i>Chemical Engineering Science</i>. 2021;243. doi:<a href="https://doi.org/10.1016/j.ces.2021.116779">10.1016/j.ces.2021.116779</a>'
  apa: 'Bruns, B., Di Pretoro, A., Grünewald, M., &#38; Riese, J. (2021). Flexibility
    analysis for demand-side management in large-scale chemical processes: An ethylene
    oxide production case study. <i>Chemical Engineering Science</i>, <i>243</i>,
    Article 116779. <a href="https://doi.org/10.1016/j.ces.2021.116779">https://doi.org/10.1016/j.ces.2021.116779</a>'
  bibtex: '@article{Bruns_Di Pretoro_Grünewald_Riese_2021, title={Flexibility analysis
    for demand-side management in large-scale chemical processes: An ethylene oxide
    production case study}, volume={243}, DOI={<a href="https://doi.org/10.1016/j.ces.2021.116779">10.1016/j.ces.2021.116779</a>},
    number={116779}, journal={Chemical Engineering Science}, publisher={Elsevier BV},
    author={Bruns, Bastian and Di Pretoro, Alessandro and Grünewald, Marcus and Riese,
    Julia}, year={2021} }'
  chicago: 'Bruns, Bastian, Alessandro Di Pretoro, Marcus Grünewald, and Julia Riese.
    “Flexibility Analysis for Demand-Side Management in Large-Scale Chemical Processes:
    An Ethylene Oxide Production Case Study.” <i>Chemical Engineering Science</i>
    243 (2021). <a href="https://doi.org/10.1016/j.ces.2021.116779">https://doi.org/10.1016/j.ces.2021.116779</a>.'
  ieee: 'B. Bruns, A. Di Pretoro, M. Grünewald, and J. Riese, “Flexibility analysis
    for demand-side management in large-scale chemical processes: An ethylene oxide
    production case study,” <i>Chemical Engineering Science</i>, vol. 243, Art. no.
    116779, 2021, doi: <a href="https://doi.org/10.1016/j.ces.2021.116779">10.1016/j.ces.2021.116779</a>.'
  mla: 'Bruns, Bastian, et al. “Flexibility Analysis for Demand-Side Management in
    Large-Scale Chemical Processes: An Ethylene Oxide Production Case Study.” <i>Chemical
    Engineering Science</i>, vol. 243, 116779, Elsevier BV, 2021, doi:<a href="https://doi.org/10.1016/j.ces.2021.116779">10.1016/j.ces.2021.116779</a>.'
  short: B. Bruns, A. Di Pretoro, M. Grünewald, J. Riese, Chemical Engineering Science
    243 (2021).
date_created: 2023-10-04T14:16:25Z
date_updated: 2024-03-08T11:38:05Z
doi: 10.1016/j.ces.2021.116779
extern: '1'
intvolume: '       243'
keyword:
- Applied Mathematics
- Industrial and Manufacturing Engineering
- General Chemical Engineering
- General Chemistry
language:
- iso: eng
publication: Chemical Engineering Science
publication_identifier:
  issn:
  - 0009-2509
publication_status: published
publisher: Elsevier BV
quality_controlled: '1'
status: public
title: 'Flexibility analysis for demand-side management in large-scale chemical processes:
  An ethylene oxide production case study'
type: journal_article
user_id: '101499'
volume: 243
year: '2021'
...
---
_id: '45962'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>An algorithm
    is proposed for generalized mean curvature flow of closed two-dimensional surfaces,
    which include inverse mean curvature flow and powers of mean and inverse mean
    curvature flow. Error estimates are proved for semidiscretizations and full discretizations
    for the generalized flow. The algorithm proposed and studied here combines evolving
    surface finite elements, whose nodes determine the discrete surface, and linearly
    implicit backward difference formulae for time integration. The numerical method
    is based on a system coupling the surface evolution to nonlinear second-order
    parabolic evolution equations for the normal velocity and normal vector. A convergence
    proof is presented in the case of finite elements of polynomial degree at least
    2 and backward difference formulae of orders 2 to 5. The error analysis combines
    stability estimates and consistency estimates to yield optimal-order $H^1$-norm
    error bounds for the computed surface position, velocity, normal vector, normal
    velocity and therefore for the mean curvature. The stability analysis is performed
    in the matrix–vector formulation and is independent of geometric arguments, which
    only enter the consistency analysis. Numerical experiments are presented to illustrate
    the convergence results and also to report on monotone quantities, e.g. Hawking
    mass for inverse mean curvature flow, and complemented by experiments for nonconvex
    surfaces.</jats:p>"
author:
- first_name: Tim
  full_name: Binz, Tim
  last_name: Binz
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Binz T, Kovács B. A convergent finite element algorithm for generalized mean
    curvature flows of closed surfaces. <i>IMA Journal of Numerical Analysis</i>.
    2021;42(3):2545-2588. doi:<a href="https://doi.org/10.1093/imanum/drab043">10.1093/imanum/drab043</a>
  apa: Binz, T., &#38; Kovács, B. (2021). A convergent finite element algorithm for
    generalized mean curvature flows of closed surfaces. <i>IMA Journal of Numerical
    Analysis</i>, <i>42</i>(3), 2545–2588. <a href="https://doi.org/10.1093/imanum/drab043">https://doi.org/10.1093/imanum/drab043</a>
  bibtex: '@article{Binz_Kovács_2021, title={A convergent finite element algorithm
    for generalized mean curvature flows of closed surfaces}, volume={42}, DOI={<a
    href="https://doi.org/10.1093/imanum/drab043">10.1093/imanum/drab043</a>}, number={3},
    journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press
    (OUP)}, author={Binz, Tim and Kovács, Balázs}, year={2021}, pages={2545–2588}
    }'
  chicago: 'Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for
    Generalized Mean Curvature Flows of Closed Surfaces.” <i>IMA Journal of Numerical
    Analysis</i> 42, no. 3 (2021): 2545–88. <a href="https://doi.org/10.1093/imanum/drab043">https://doi.org/10.1093/imanum/drab043</a>.'
  ieee: 'T. Binz and B. Kovács, “A convergent finite element algorithm for generalized
    mean curvature flows of closed surfaces,” <i>IMA Journal of Numerical Analysis</i>,
    vol. 42, no. 3, pp. 2545–2588, 2021, doi: <a href="https://doi.org/10.1093/imanum/drab043">10.1093/imanum/drab043</a>.'
  mla: Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Generalized
    Mean Curvature Flows of Closed Surfaces.” <i>IMA Journal of Numerical Analysis</i>,
    vol. 42, no. 3, Oxford University Press (OUP), 2021, pp. 2545–88, doi:<a href="https://doi.org/10.1093/imanum/drab043">10.1093/imanum/drab043</a>.
  short: T. Binz, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2545–2588.
date_created: 2023-07-10T11:44:41Z
date_updated: 2024-04-03T09:18:40Z
department:
- _id: '841'
doi: 10.1093/imanum/drab043
intvolume: '        42'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 2545-2588
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: A convergent finite element algorithm for generalized mean curvature flows
  of closed surfaces
type: journal_article
user_id: '100441'
volume: 42
year: '2021'
...
---
_id: '45957'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>A proof of convergence is given for
    a bulk–surface finite element semidiscretisation of the Cahn–Hilliard equation
    with Cahn–Hilliard-type dynamic boundary conditions in a smooth domain. The semidiscretisation
    is studied in an abstract weak formulation as a second-order system. Optimal-order
    uniform-in-time error estimates are shown in the $L^2$- and $H^1$-norms. The error
    estimates are based on a consistency and stability analysis. The proof of stability
    is performed in an abstract framework, based on energy estimates exploiting the
    anti-symmetric structure of the second-order system. Numerical experiments illustrate
    the theoretical results.</jats:p>
author:
- first_name: Paula
  full_name: Harder, Paula
  last_name: Harder
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Harder P, Kovács B. Error estimates for the Cahn–Hilliard equation with dynamic
    boundary conditions. <i>IMA Journal of Numerical Analysis</i>. 2021;42(3):2589-2620.
    doi:<a href="https://doi.org/10.1093/imanum/drab045">10.1093/imanum/drab045</a>
  apa: Harder, P., &#38; Kovács, B. (2021). Error estimates for the Cahn–Hilliard
    equation with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>,
    <i>42</i>(3), 2589–2620. <a href="https://doi.org/10.1093/imanum/drab045">https://doi.org/10.1093/imanum/drab045</a>
  bibtex: '@article{Harder_Kovács_2021, title={Error estimates for the Cahn–Hilliard
    equation with dynamic boundary conditions}, volume={42}, DOI={<a href="https://doi.org/10.1093/imanum/drab045">10.1093/imanum/drab045</a>},
    number={3}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University
    Press (OUP)}, author={Harder, Paula and Kovács, Balázs}, year={2021}, pages={2589–2620}
    }'
  chicago: 'Harder, Paula, and Balázs Kovács. “Error Estimates for the Cahn–Hilliard
    Equation with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i>
    42, no. 3 (2021): 2589–2620. <a href="https://doi.org/10.1093/imanum/drab045">https://doi.org/10.1093/imanum/drab045</a>.'
  ieee: 'P. Harder and B. Kovács, “Error estimates for the Cahn–Hilliard equation
    with dynamic boundary conditions,” <i>IMA Journal of Numerical Analysis</i>, vol.
    42, no. 3, pp. 2589–2620, 2021, doi: <a href="https://doi.org/10.1093/imanum/drab045">10.1093/imanum/drab045</a>.'
  mla: Harder, Paula, and Balázs Kovács. “Error Estimates for the Cahn–Hilliard Equation
    with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i>, vol.
    42, no. 3, Oxford University Press (OUP), 2021, pp. 2589–620, doi:<a href="https://doi.org/10.1093/imanum/drab045">10.1093/imanum/drab045</a>.
  short: P. Harder, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2589–2620.
date_created: 2023-07-10T11:43:28Z
date_updated: 2024-04-03T09:20:15Z
department:
- _id: '841'
doi: 10.1093/imanum/drab045
intvolume: '        42'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 2589-2620
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 estimates for the Cahn–Hilliard equation with dynamic boundary conditions
type: journal_article
user_id: '100441'
volume: 42
year: '2021'
...
---
_id: '45961'
author:
- first_name: Jörg
  full_name: Nick, Jörg
  last_name: Nick
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  ama: 'Nick J, Kovács B, Lubich C. Correction to: Stable and convergent fully discrete
    interior–exterior coupling of Maxwell’s equations. <i>Numerische Mathematik</i>.
    2021;147(4):997-1000. doi:<a href="https://doi.org/10.1007/s00211-021-01196-6">10.1007/s00211-021-01196-6</a>'
  apa: 'Nick, J., Kovács, B., &#38; Lubich, C. (2021). Correction to: Stable and convergent
    fully discrete interior–exterior coupling of Maxwell’s equations. <i>Numerische
    Mathematik</i>, <i>147</i>(4), 997–1000. <a href="https://doi.org/10.1007/s00211-021-01196-6">https://doi.org/10.1007/s00211-021-01196-6</a>'
  bibtex: '@article{Nick_Kovács_Lubich_2021, title={Correction to: Stable and convergent
    fully discrete interior–exterior coupling of Maxwell’s equations}, volume={147},
    DOI={<a href="https://doi.org/10.1007/s00211-021-01196-6">10.1007/s00211-021-01196-6</a>},
    number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Nick, Jörg and Kovács, Balázs and Lubich, Christian}, year={2021},
    pages={997–1000} }'
  chicago: 'Nick, Jörg, Balázs Kovács, and Christian Lubich. “Correction to: Stable
    and Convergent Fully Discrete Interior–Exterior Coupling of Maxwell’s Equations.”
    <i>Numerische Mathematik</i> 147, no. 4 (2021): 997–1000. <a href="https://doi.org/10.1007/s00211-021-01196-6">https://doi.org/10.1007/s00211-021-01196-6</a>.'
  ieee: 'J. Nick, B. Kovács, and C. Lubich, “Correction to: Stable and convergent
    fully discrete interior–exterior coupling of Maxwell’s equations,” <i>Numerische
    Mathematik</i>, vol. 147, no. 4, pp. 997–1000, 2021, doi: <a href="https://doi.org/10.1007/s00211-021-01196-6">10.1007/s00211-021-01196-6</a>.'
  mla: 'Nick, Jörg, et al. “Correction to: Stable and Convergent Fully Discrete Interior–Exterior
    Coupling of Maxwell’s Equations.” <i>Numerische Mathematik</i>, vol. 147, no.
    4, Springer Science and Business Media LLC, 2021, pp. 997–1000, doi:<a href="https://doi.org/10.1007/s00211-021-01196-6">10.1007/s00211-021-01196-6</a>.'
  short: J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 147 (2021) 997–1000.
date_created: 2023-07-10T11:44:25Z
date_updated: 2024-04-03T09:18:52Z
department:
- _id: '841'
doi: 10.1007/s00211-021-01196-6
intvolume: '       147'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 997-1000
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Correction to: Stable and convergent fully discrete interior–exterior coupling
  of Maxwell’s equations'
type: journal_article
user_id: '100441'
volume: 147
year: '2021'
...
---
_id: '45959'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  last_name: Kovács
- first_name: Buyang
  full_name: Li, Buyang
  last_name: Li
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  ama: Kovács B, Li B, Lubich C. A convergent evolving finite element algorithm for
    Willmore flow of closed surfaces. <i>Numerische Mathematik</i>. 2021;149(3):595-643.
    doi:<a href="https://doi.org/10.1007/s00211-021-01238-z">10.1007/s00211-021-01238-z</a>
  apa: Kovács, B., Li, B., &#38; Lubich, C. (2021). A convergent evolving finite element
    algorithm for Willmore flow of closed surfaces. <i>Numerische Mathematik</i>,
    <i>149</i>(3), 595–643. <a href="https://doi.org/10.1007/s00211-021-01238-z">https://doi.org/10.1007/s00211-021-01238-z</a>
  bibtex: '@article{Kovács_Li_Lubich_2021, title={A convergent evolving finite element
    algorithm for Willmore flow of closed surfaces}, volume={149}, DOI={<a href="https://doi.org/10.1007/s00211-021-01238-z">10.1007/s00211-021-01238-z</a>},
    number={3}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2021},
    pages={595–643} }'
  chicago: 'Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Evolving
    Finite Element Algorithm for Willmore Flow of Closed Surfaces.” <i>Numerische
    Mathematik</i> 149, no. 3 (2021): 595–643. <a href="https://doi.org/10.1007/s00211-021-01238-z">https://doi.org/10.1007/s00211-021-01238-z</a>.'
  ieee: 'B. Kovács, B. Li, and C. Lubich, “A convergent evolving finite element algorithm
    for Willmore flow of closed surfaces,” <i>Numerische Mathematik</i>, vol. 149,
    no. 3, pp. 595–643, 2021, doi: <a href="https://doi.org/10.1007/s00211-021-01238-z">10.1007/s00211-021-01238-z</a>.'
  mla: Kovács, Balázs, et al. “A Convergent Evolving Finite Element Algorithm for
    Willmore Flow of Closed Surfaces.” <i>Numerische Mathematik</i>, vol. 149, no.
    3, Springer Science and Business Media LLC, 2021, pp. 595–643, doi:<a href="https://doi.org/10.1007/s00211-021-01238-z">10.1007/s00211-021-01238-z</a>.
  short: B. Kovács, B. Li, C. Lubich, Numerische Mathematik 149 (2021) 595–643.
date_created: 2023-07-10T11:43:59Z
date_updated: 2024-04-03T09:19:20Z
department:
- _id: '841'
doi: 10.1007/s00211-021-01238-z
intvolume: '       149'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 595-643
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A convergent evolving finite element algorithm for Willmore flow of closed
  surfaces
type: journal_article
user_id: '100441'
volume: 149
year: '2021'
...
---
_id: '34629'
article_number: '113061'
author:
- first_name: Kerstin
  full_name: Hesse, Kerstin
  id: '42608'
  last_name: Hesse
  orcid: 0000-0003-4125-1941
- first_name: Ian H.
  full_name: Sloan, Ian H.
  last_name: Sloan
- first_name: Robert S.
  full_name: Womersley, Robert S.
  last_name: Womersley
citation:
  ama: Hesse K, Sloan IH, Womersley RS. Local RBF-based penalized least-squares approximation
    on the sphere with noisy scattered data. <i>Journal of Computational and Applied
    Mathematics</i>. 2021;382. doi:<a href="https://doi.org/10.1016/j.cam.2020.113061">10.1016/j.cam.2020.113061</a>
  apa: Hesse, K., Sloan, I. H., &#38; Womersley, R. S. (2021). Local RBF-based penalized
    least-squares approximation on the sphere with noisy scattered data. <i>Journal
    of Computational and Applied Mathematics</i>, <i>382</i>, Article 113061. <a href="https://doi.org/10.1016/j.cam.2020.113061">https://doi.org/10.1016/j.cam.2020.113061</a>
  bibtex: '@article{Hesse_Sloan_Womersley_2021, title={Local RBF-based penalized least-squares
    approximation on the sphere with noisy scattered data}, volume={382}, DOI={<a
    href="https://doi.org/10.1016/j.cam.2020.113061">10.1016/j.cam.2020.113061</a>},
    number={113061}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier
    BV}, author={Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S.}, year={2021}
    }'
  chicago: Hesse, Kerstin, Ian H. Sloan, and Robert S. Womersley. “Local RBF-Based
    Penalized Least-Squares Approximation on the Sphere with Noisy Scattered Data.”
    <i>Journal of Computational and Applied Mathematics</i> 382 (2021). <a href="https://doi.org/10.1016/j.cam.2020.113061">https://doi.org/10.1016/j.cam.2020.113061</a>.
  ieee: 'K. Hesse, I. H. Sloan, and R. S. Womersley, “Local RBF-based penalized least-squares
    approximation on the sphere with noisy scattered data,” <i>Journal of Computational
    and Applied Mathematics</i>, vol. 382, Art. no. 113061, 2021, doi: <a href="https://doi.org/10.1016/j.cam.2020.113061">10.1016/j.cam.2020.113061</a>.'
  mla: Hesse, Kerstin, et al. “Local RBF-Based Penalized Least-Squares Approximation
    on the Sphere with Noisy Scattered Data.” <i>Journal of Computational and Applied
    Mathematics</i>, vol. 382, 113061, Elsevier BV, 2021, doi:<a href="https://doi.org/10.1016/j.cam.2020.113061">10.1016/j.cam.2020.113061</a>.
  short: K. Hesse, I.H. Sloan, R.S. Womersley, Journal of Computational and Applied
    Mathematics 382 (2021).
date_created: 2022-12-20T17:26:44Z
date_updated: 2024-04-03T11:04:23Z
department:
- _id: '10'
doi: 10.1016/j.cam.2020.113061
intvolume: '       382'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
publication: Journal of Computational and Applied Mathematics
publication_identifier:
  issn:
  - 0377-0427
publication_status: published
publisher: Elsevier BV
status: public
title: Local RBF-based penalized least-squares approximation on the sphere with noisy
  scattered data
type: journal_article
user_id: '49063'
volume: 382
year: '2021'
...
---
_id: '53363'
abstract:
- lang: eng
  text: '<jats:title>Abstract</jats:title><jats:p>In this survey paper we aim to provide
    an overview of research on mathematics textbooks and, more broadly, curriculum
    resources as instruments for change related to mathematical content, instructional
    goals and practices, and student learning of mathematics. In particular, we elaborate
    on the following themes: (1) The role of curriculum resources as instruments for
    change from a theoretical perspective; (2) The design of curriculum resources
    to mediate the implementation of reform ideas and innovative practice; (3) Teachers’
    influence on the implementation of change through curriculum resources; (4) Students’
    influence on the implementation of change through curriculum resources; and (5)
    Evidence of curriculum resources yielding changes in student-related factors or
    variables. We claim that, whilst textbooks and curriculum resources are influential,
    they alone cannot change teachers’ teaching nor students’ learning practices in
    times of curricular change. Moreover, more knowledge is needed about features
    of curriculum resources that support the implementation of change. We contend
    that curriculum innovations are likely to be successful, if teachers and students
    are supported to co- and re-design the relevant curriculum trajectories and materials
    in line with the reform efforts and their own individual needs.</jats:p>'
author:
- first_name: Sebastian
  full_name: Rezat, Sebastian
  id: '31132'
  last_name: Rezat
- first_name: Lianghuo
  full_name: Fan, Lianghuo
  last_name: Fan
- first_name: Birgit
  full_name: Pepin, Birgit
  last_name: Pepin
citation:
  ama: Rezat S, Fan L, Pepin B. Mathematics textbooks and curriculum resources as
    instruments for change. <i>ZDM – Mathematics Education</i>. 2021;53(6):1189-1206.
    doi:<a href="https://doi.org/10.1007/s11858-021-01309-3">10.1007/s11858-021-01309-3</a>
  apa: Rezat, S., Fan, L., &#38; Pepin, B. (2021). Mathematics textbooks and curriculum
    resources as instruments for change. <i>ZDM – Mathematics Education</i>, <i>53</i>(6),
    1189–1206. <a href="https://doi.org/10.1007/s11858-021-01309-3">https://doi.org/10.1007/s11858-021-01309-3</a>
  bibtex: '@article{Rezat_Fan_Pepin_2021, title={Mathematics textbooks and curriculum
    resources as instruments for change}, volume={53}, DOI={<a href="https://doi.org/10.1007/s11858-021-01309-3">10.1007/s11858-021-01309-3</a>},
    number={6}, journal={ZDM – Mathematics Education}, publisher={Springer Science
    and Business Media LLC}, author={Rezat, Sebastian and Fan, Lianghuo and Pepin,
    Birgit}, year={2021}, pages={1189–1206} }'
  chicago: 'Rezat, Sebastian, Lianghuo Fan, and Birgit Pepin. “Mathematics Textbooks
    and Curriculum Resources as Instruments for Change.” <i>ZDM – Mathematics Education</i>
    53, no. 6 (2021): 1189–1206. <a href="https://doi.org/10.1007/s11858-021-01309-3">https://doi.org/10.1007/s11858-021-01309-3</a>.'
  ieee: 'S. Rezat, L. Fan, and B. Pepin, “Mathematics textbooks and curriculum resources
    as instruments for change,” <i>ZDM – Mathematics Education</i>, vol. 53, no. 6,
    pp. 1189–1206, 2021, doi: <a href="https://doi.org/10.1007/s11858-021-01309-3">10.1007/s11858-021-01309-3</a>.'
  mla: Rezat, Sebastian, et al. “Mathematics Textbooks and Curriculum Resources as
    Instruments for Change.” <i>ZDM – Mathematics Education</i>, vol. 53, no. 6, Springer
    Science and Business Media LLC, 2021, pp. 1189–206, doi:<a href="https://doi.org/10.1007/s11858-021-01309-3">10.1007/s11858-021-01309-3</a>.
  short: S. Rezat, L. Fan, B. Pepin, ZDM – Mathematics Education 53 (2021) 1189–1206.
date_created: 2024-04-09T06:50:36Z
date_updated: 2024-04-18T07:51:53Z
department:
- _id: '360'
doi: 10.1007/s11858-021-01309-3
intvolume: '        53'
issue: '6'
keyword:
- General Mathematics
- Education
language:
- iso: eng
page: 1189-1206
publication: ZDM – Mathematics Education
publication_identifier:
  issn:
  - 1863-9690
  - 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Mathematics textbooks and curriculum resources as instruments for change
type: journal_article
user_id: '31132'
volume: 53
year: '2021'
...
---
_id: '44683'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>One of the most prevalent features
    of digital mathematics textbooks, compared to traditional ones, is the provision
    of automated feedback on students’ solutions. Since feedback is regarded as an
    important factor that influences learning, this is often seen as an affordance
    of digital mathematics textbooks. While there is a large body of mainly quantitative
    research on the effectiveness of feedback in general, very little is known about
    how feedback actually affects students’ individual content specific learning processes
    and conceptual development. A theoretical framework based on Rabardel’s theory
    of the instrument and Vergnaud’s theory of conceptual fields is developed to study
    qualitatively how feedback actually functions in the learning process. This framework
    was applied in a case study of two elementary school students’ learning processes
    when working on a probability task from a German 3rd grade digital textbook. The
    analysis allowed detailed reconstruction of how students made sense of the information
    provided by the feedback and adjusted their behavior accordingly. This in-depth
    analysis unveiled that feedback does not necessarily foster conceptual development
    in the desired way, and a correct solution does not always coincide with conceptual
    understanding. The results point to some obstacles that students face when working
    individually on tasks from digital mathematics textbooks with automated feedback,
    and indicate that feedback needs to be developed in design-based research cycles
    in order to yield the desired effects.</jats:p>
author:
- first_name: Sebastian
  full_name: Rezat, Sebastian
  id: '31132'
  last_name: Rezat
citation:
  ama: 'Rezat S. How automated feedback from a digital mathematics textbook affects
    primary students’ conceptual development: two case studies. <i>ZDM Mathematics
    Education</i>. 2021;53(6):1433-1445. doi:<a href="https://doi.org/10.1007/s11858-021-01263-0">10.1007/s11858-021-01263-0</a>'
  apa: 'Rezat, S. (2021). How automated feedback from a digital mathematics textbook
    affects primary students’ conceptual development: two case studies. <i>ZDM Mathematics
    Education</i>, <i>53</i>(6), 1433–1445. <a href="https://doi.org/10.1007/s11858-021-01263-0">https://doi.org/10.1007/s11858-021-01263-0</a>'
  bibtex: '@article{Rezat_2021, title={How automated feedback from a digital mathematics
    textbook affects primary students’ conceptual development: two case studies},
    volume={53}, DOI={<a href="https://doi.org/10.1007/s11858-021-01263-0">10.1007/s11858-021-01263-0</a>},
    number={6}, journal={ZDM Mathematics Education}, publisher={Springer}, author={Rezat,
    Sebastian}, year={2021}, pages={1433–1445} }'
  chicago: 'Rezat, Sebastian. “How Automated Feedback from a Digital Mathematics Textbook
    Affects Primary Students’ Conceptual Development: Two Case Studies.” <i>ZDM Mathematics
    Education</i> 53, no. 6 (2021): 1433–45. <a href="https://doi.org/10.1007/s11858-021-01263-0">https://doi.org/10.1007/s11858-021-01263-0</a>.'
  ieee: 'S. Rezat, “How automated feedback from a digital mathematics textbook affects
    primary students’ conceptual development: two case studies,” <i>ZDM Mathematics
    Education</i>, vol. 53, no. 6, pp. 1433–1445, 2021, doi: <a href="https://doi.org/10.1007/s11858-021-01263-0">10.1007/s11858-021-01263-0</a>.'
  mla: 'Rezat, Sebastian. “How Automated Feedback from a Digital Mathematics Textbook
    Affects Primary Students’ Conceptual Development: Two Case Studies.” <i>ZDM Mathematics
    Education</i>, vol. 53, no. 6, Springer, 2021, pp. 1433–45, doi:<a href="https://doi.org/10.1007/s11858-021-01263-0">10.1007/s11858-021-01263-0</a>.'
  short: S. Rezat, ZDM Mathematics Education 53 (2021) 1433–1445.
date_created: 2023-05-09T13:01:30Z
date_updated: 2024-04-18T08:23:20Z
department:
- _id: '360'
doi: 10.1007/s11858-021-01263-0
intvolume: '        53'
issue: '6'
keyword:
- General Mathematics
- Education
language:
- iso: eng
page: 1433-1445
publication: ZDM Mathematics Education
publication_identifier:
  issn:
  - 1863-9690
  - 1863-9704
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
title: 'How automated feedback from a digital mathematics textbook affects primary
  students’ conceptual development: two case studies'
type: journal_article
user_id: '31132'
volume: 53
year: '2021'
...
---
_id: '35778'
abstract:
- lang: eng
  text: '<jats:title>Abstract</jats:title><jats:p>The aim of the special issue is
    to bring together important current international research on innovative teaching
    and learning practices in mathematics in engineering education, and to develop
    deeper understandings of the characteristics of current teaching and learning
    practices that can inform the design and implementation of future innovative practice.
    The focus of this review paper is to provide a state-of-the-art overview of this
    emerging field at the cross-roads between mathematics and engineering education,
    in addition to introducing the papers of this special issue. To guide this paper,
    we posed three review questions: (1) How can current (teaching/learning/study)
    practices of mathematics in engineering education be characterized with a view
    towards innovation?; (2) What are the ‘resources’ (cognitive, material, digital,
    social) used, and what are those that appear also well suited for innovative courses?;
    (3) What are promising innovative practices in mathematics in engineering education,
    and what are the implications for curriculum reform? Looking back across the studies
    we summarized in the review, we conclude that they are lagging behind the more
    fundamental changes that are happening in engineering education, whilst addressing
    selected aspects of innovative changes within the current system of engineering
    education. At the same time, the nine papers of this special issue contribute
    new perspectives for innovative practices in mathematics in engineering education,
    for a better understanding of current practices and for future research.</jats:p>'
author:
- first_name: Birgit
  full_name: Pepin, Birgit
  last_name: Pepin
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Ghislaine
  full_name: Gueudet, Ghislaine
  last_name: Gueudet
citation:
  ama: 'Pepin B, Biehler R, Gueudet G. Mathematics in Engineering Education: a Review
    of the Recent Literature with a View towards Innovative Practices. <i>International
    Journal of Research in Undergraduate Mathematics Education</i>. 2021;7(2):163-188.
    doi:<a href="https://doi.org/10.1007/s40753-021-00139-8">10.1007/s40753-021-00139-8</a>'
  apa: 'Pepin, B., Biehler, R., &#38; Gueudet, G. (2021). Mathematics in Engineering
    Education: a Review of the Recent Literature with a View towards Innovative Practices.
    <i>International Journal of Research in Undergraduate Mathematics Education</i>,
    <i>7</i>(2), 163–188. <a href="https://doi.org/10.1007/s40753-021-00139-8">https://doi.org/10.1007/s40753-021-00139-8</a>'
  bibtex: '@article{Pepin_Biehler_Gueudet_2021, title={Mathematics in Engineering
    Education: a Review of the Recent Literature with a View towards Innovative Practices},
    volume={7}, DOI={<a href="https://doi.org/10.1007/s40753-021-00139-8">10.1007/s40753-021-00139-8</a>},
    number={2}, journal={International Journal of Research in Undergraduate Mathematics
    Education}, publisher={Springer Science and Business Media LLC}, author={Pepin,
    Birgit and Biehler, Rolf and Gueudet, Ghislaine}, year={2021}, pages={163–188}
    }'
  chicago: 'Pepin, Birgit, Rolf Biehler, and Ghislaine Gueudet. “Mathematics in Engineering
    Education: A Review of the Recent Literature with a View towards Innovative Practices.”
    <i>International Journal of Research in Undergraduate Mathematics Education</i>
    7, no. 2 (2021): 163–88. <a href="https://doi.org/10.1007/s40753-021-00139-8">https://doi.org/10.1007/s40753-021-00139-8</a>.'
  ieee: 'B. Pepin, R. Biehler, and G. Gueudet, “Mathematics in Engineering Education:
    a Review of the Recent Literature with a View towards Innovative Practices,” <i>International
    Journal of Research in Undergraduate Mathematics Education</i>, vol. 7, no. 2,
    pp. 163–188, 2021, doi: <a href="https://doi.org/10.1007/s40753-021-00139-8">10.1007/s40753-021-00139-8</a>.'
  mla: 'Pepin, Birgit, et al. “Mathematics in Engineering Education: A Review of the
    Recent Literature with a View towards Innovative Practices.” <i>International
    Journal of Research in Undergraduate Mathematics Education</i>, vol. 7, no. 2,
    Springer Science and Business Media LLC, 2021, pp. 163–88, doi:<a href="https://doi.org/10.1007/s40753-021-00139-8">10.1007/s40753-021-00139-8</a>.'
  short: B. Pepin, R. Biehler, G. Gueudet, International Journal of Research in Undergraduate
    Mathematics Education 7 (2021) 163–188.
date_created: 2023-01-10T10:43:08Z
date_updated: 2024-04-18T09:48:52Z
department:
- _id: '363'
doi: 10.1007/s40753-021-00139-8
intvolume: '         7'
issue: '2'
keyword:
- Education
- Mathematics (miscellaneous)
language:
- iso: eng
page: 163-188
publication: International Journal of Research in Undergraduate Mathematics Education
publication_identifier:
  issn:
  - 2198-9745
  - 2198-9753
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Mathematics in Engineering Education: a Review of the Recent Literature with
  a View towards Innovative Practices'
type: journal_article
user_id: '37888'
volume: 7
year: '2021'
...
---
_id: '35702'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>Mathematics Learning Support Centres
    are becoming more and more common in higher education both internationally and
    in Germany. Whereas it is clear that their quality largely depends on a functioning
    interaction in consultations, little is known about how such consultations proceed
    in detail. On the basis of models from the literature and recorded support sessions
    (N = 36), we constructed a process model that divides consultations into four
    ideal–typical phases. In the individual consultations, forward or backward leaps
    occur, but overall the model seems to describe the data well. A high intercoder
    reliability shows that it can be applied consistently on real data by different
    researchers. An analysis of the consultations between students and tutors shows
    that both mainly work on past attempts or thoughts of the students to solve the
    exercise or problems and on concrete strategies to solve a problem within the
    session. In contrast, very little time is dedicated to summarizing and reflecting
    the solution. The data allows for a more in-depth discussion of what constitutes
    quality in advising processes and how it might be further explored. Practically,
    the model may structure support sessions and help in focussing on different goals
    in different phases.</jats:p>
author:
- first_name: Mirko
  full_name: Schürmann, Mirko
  id: '59707'
  last_name: Schürmann
  orcid: 0000-0003-2646-085X
- first_name: Anja
  full_name: Panse, Anja
  last_name: Panse
- first_name: Zain
  full_name: Shaikh, Zain
  last_name: Shaikh
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Niclas
  full_name: Schaper, Niclas
  last_name: Schaper
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Schürmann M, Panse A, Shaikh Z, et al. Consultation Phases in Mathematics Learning
    and Support Centres. <i>International Journal of Research in Undergraduate Mathematics
    Education</i>. 2021;8(1):94-120. doi:<a href="https://doi.org/10.1007/s40753-021-00154-9">10.1007/s40753-021-00154-9</a>
  apa: Schürmann, M., Panse, A., Shaikh, Z., Biehler, R., Schaper, N., Liebendörfer,
    M., &#38; Hilgert, J. (2021). Consultation Phases in Mathematics Learning and
    Support Centres. <i>International Journal of Research in Undergraduate Mathematics
    Education</i>, <i>8</i>(1), 94–120. <a href="https://doi.org/10.1007/s40753-021-00154-9">https://doi.org/10.1007/s40753-021-00154-9</a>
  bibtex: '@article{Schürmann_Panse_Shaikh_Biehler_Schaper_Liebendörfer_Hilgert_2021,
    title={Consultation Phases in Mathematics Learning and Support Centres}, volume={8},
    DOI={<a href="https://doi.org/10.1007/s40753-021-00154-9">10.1007/s40753-021-00154-9</a>},
    number={1}, journal={International Journal of Research in Undergraduate Mathematics
    Education}, publisher={Springer Science and Business Media LLC}, author={Schürmann,
    Mirko and Panse, Anja and Shaikh, Zain and Biehler, Rolf and Schaper, Niclas and
    Liebendörfer, Michael and Hilgert, Joachim}, year={2021}, pages={94–120} }'
  chicago: 'Schürmann, Mirko, Anja Panse, Zain Shaikh, Rolf Biehler, Niclas Schaper,
    Michael Liebendörfer, and Joachim Hilgert. “Consultation Phases in Mathematics
    Learning and Support Centres.” <i>International Journal of Research in Undergraduate
    Mathematics Education</i> 8, no. 1 (2021): 94–120. <a href="https://doi.org/10.1007/s40753-021-00154-9">https://doi.org/10.1007/s40753-021-00154-9</a>.'
  ieee: 'M. Schürmann <i>et al.</i>, “Consultation Phases in Mathematics Learning
    and Support Centres,” <i>International Journal of Research in Undergraduate Mathematics
    Education</i>, vol. 8, no. 1, pp. 94–120, 2021, doi: <a href="https://doi.org/10.1007/s40753-021-00154-9">10.1007/s40753-021-00154-9</a>.'
  mla: Schürmann, Mirko, et al. “Consultation Phases in Mathematics Learning and Support
    Centres.” <i>International Journal of Research in Undergraduate Mathematics Education</i>,
    vol. 8, no. 1, Springer Science and Business Media LLC, 2021, pp. 94–120, doi:<a
    href="https://doi.org/10.1007/s40753-021-00154-9">10.1007/s40753-021-00154-9</a>.
  short: M. Schürmann, A. Panse, Z. Shaikh, R. Biehler, N. Schaper, M. Liebendörfer,
    J. Hilgert, International Journal of Research in Undergraduate Mathematics Education
    8 (2021) 94–120.
date_created: 2023-01-10T09:09:23Z
date_updated: 2024-04-18T10:09:08Z
department:
- _id: '363'
- _id: '423'
- _id: '91'
- _id: '625'
doi: 10.1007/s40753-021-00154-9
intvolume: '         8'
issue: '1'
keyword:
- Education
- Mathematics (miscellaneous)
language:
- iso: eng
page: 94-120
publication: International Journal of Research in Undergraduate Mathematics Education
publication_identifier:
  issn:
  - 2198-9745
  - 2198-9753
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Consultation Phases in Mathematics Learning and Support Centres
type: journal_article
user_id: '37888'
volume: 8
year: '2021'
...
---
_id: '35781'
author:
- 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: Podworny S, Biehler R. The process of actively building a model for a randomization
    test – insights into learners’ modeling activities based on a case study. <i>Mathematical
    Thinking and Learning</i>. 2021;24(4):291-311. doi:<a href="https://doi.org/10.1080/10986065.2021.1922837">10.1080/10986065.2021.1922837</a>
  apa: Podworny, S., &#38; Biehler, R. (2021). The process of actively building a
    model for a randomization test – insights into learners’ modeling activities based
    on a case study. <i>Mathematical Thinking and Learning</i>, <i>24</i>(4), 291–311.
    <a href="https://doi.org/10.1080/10986065.2021.1922837">https://doi.org/10.1080/10986065.2021.1922837</a>
  bibtex: '@article{Podworny_Biehler_2021, title={The process of actively building
    a model for a randomization test – insights into learners’ modeling activities
    based on a case study}, volume={24}, DOI={<a href="https://doi.org/10.1080/10986065.2021.1922837">10.1080/10986065.2021.1922837</a>},
    number={4}, journal={Mathematical Thinking and Learning}, publisher={Informa UK
    Limited}, author={Podworny, Susanne and Biehler, Rolf}, year={2021}, pages={291–311}
    }'
  chicago: 'Podworny, Susanne, and Rolf Biehler. “The Process of Actively Building
    a Model for a Randomization Test – Insights into Learners’ Modeling Activities
    Based on a Case Study.” <i>Mathematical Thinking and Learning</i> 24, no. 4 (2021):
    291–311. <a href="https://doi.org/10.1080/10986065.2021.1922837">https://doi.org/10.1080/10986065.2021.1922837</a>.'
  ieee: 'S. Podworny and R. Biehler, “The process of actively building a model for
    a randomization test – insights into learners’ modeling activities based on a
    case study,” <i>Mathematical Thinking and Learning</i>, vol. 24, no. 4, pp. 291–311,
    2021, doi: <a href="https://doi.org/10.1080/10986065.2021.1922837">10.1080/10986065.2021.1922837</a>.'
  mla: Podworny, Susanne, and Rolf Biehler. “The Process of Actively Building a Model
    for a Randomization Test – Insights into Learners’ Modeling Activities Based on
    a Case Study.” <i>Mathematical Thinking and Learning</i>, vol. 24, no. 4, Informa
    UK Limited, 2021, pp. 291–311, doi:<a href="https://doi.org/10.1080/10986065.2021.1922837">10.1080/10986065.2021.1922837</a>.
  short: S. Podworny, R. Biehler, Mathematical Thinking and Learning 24 (2021) 291–311.
date_created: 2023-01-10T10:44:50Z
date_updated: 2024-04-18T10:12:50Z
department:
- _id: '363'
doi: 10.1080/10986065.2021.1922837
intvolume: '        24'
issue: '4'
keyword:
- Developmental and Educational Psychology
- Education
- General Mathematics
language:
- iso: eng
page: 291-311
publication: Mathematical Thinking and Learning
publication_identifier:
  issn:
  - 1098-6065
  - 1532-7833
publication_status: published
publisher: Informa UK Limited
status: public
title: The process of actively building a model for a randomization test – insights
  into learners’ modeling activities based on a case study
type: journal_article
user_id: '37888'
volume: 24
year: '2021'
...
---
_id: '37443'
abstract:
- lang: eng
  text: '<jats:title>Abstract</jats:title><jats:p>The range of teaching materials
    now available is becoming increasingly diverse. Despite this, however, the use
    and influence of textbooks in teaching still remains very high. When instructing
    reading comprehension, teachers often use textbooks as the basis for teaching
    in language lessons. Establishing a good match between textbooks and the skills
    to be acquired is therefore essential. In this paper, I investigate whether textbooks
    used in Austrian schools can adequately support the teaching of reading comprehension
    skills. Since reading comprehension is the basis for acquiring knowledge in all
    subjects, science textbooks are examined in addition to (German) language lesson
    textbooks. Thus, the content pages of four language textbooks and four science
    textbooks for fourth and sixth grade were analysed in terms of five different
    categories, i.e. general structural setup, learning goals, text types, text structures,
    and activities. The results reveal clear variations with respect to learning goals
    in language textbooks. For example, the extent to which reading comprehension
    is addressed ranges from 13.64 to 69.70%, depending on the book used. Although
    not addressed as a learning goal in the science textbooks, reading comprehension
    is often presupposed, especially in sixth grade. While the instruction of reading
    comprehension ought to entail coverage of reading strategies, this is often neglected,
    or only dealt with indirectly. Given the diversity of textbooks analysed, it seems
    all the more important to stress that teachers should: 1) clarify the goals and
    teaching strategies of a book before using it, 2) become aware of strategies that
    support the development of students'' reading comprehension, and 3) use textbooks
    as a complementary (and not sole) tool to support reading comprehension in all
    subjects.</jats:p>'
author:
- first_name: Susanne
  full_name: Seifert, Susanne
  id: '97270'
  last_name: Seifert
citation:
  ama: Seifert S. Is Reading Comprehension Taken for Granted? An Analysis of Austrian
    Textbooks in Fourth and Sixth Grade. <i>Technology, Knowledge and Learning</i>.
    2021;26(2):383-405. doi:<a href="https://doi.org/10.1007/s10758-021-09490-w">10.1007/s10758-021-09490-w</a>
  apa: Seifert, S. (2021). Is Reading Comprehension Taken for Granted? An Analysis
    of Austrian Textbooks in Fourth and Sixth Grade. <i>Technology, Knowledge and
    Learning</i>, <i>26</i>(2), 383–405. <a href="https://doi.org/10.1007/s10758-021-09490-w">https://doi.org/10.1007/s10758-021-09490-w</a>
  bibtex: '@article{Seifert_2021, title={Is Reading Comprehension Taken for Granted?
    An Analysis of Austrian Textbooks in Fourth and Sixth Grade}, volume={26}, DOI={<a
    href="https://doi.org/10.1007/s10758-021-09490-w">10.1007/s10758-021-09490-w</a>},
    number={2}, journal={Technology, Knowledge and Learning}, publisher={Springer
    Science and Business Media LLC}, author={Seifert, Susanne}, year={2021}, pages={383–405}
    }'
  chicago: 'Seifert, Susanne. “Is Reading Comprehension Taken for Granted? An Analysis
    of Austrian Textbooks in Fourth and Sixth Grade.” <i>Technology, Knowledge and
    Learning</i> 26, no. 2 (2021): 383–405. <a href="https://doi.org/10.1007/s10758-021-09490-w">https://doi.org/10.1007/s10758-021-09490-w</a>.'
  ieee: 'S. Seifert, “Is Reading Comprehension Taken for Granted? An Analysis of Austrian
    Textbooks in Fourth and Sixth Grade,” <i>Technology, Knowledge and Learning</i>,
    vol. 26, no. 2, pp. 383–405, 2021, doi: <a href="https://doi.org/10.1007/s10758-021-09490-w">10.1007/s10758-021-09490-w</a>.'
  mla: Seifert, Susanne. “Is Reading Comprehension Taken for Granted? An Analysis
    of Austrian Textbooks in Fourth and Sixth Grade.” <i>Technology, Knowledge and
    Learning</i>, vol. 26, no. 2, Springer Science and Business Media LLC, 2021, pp.
    383–405, doi:<a href="https://doi.org/10.1007/s10758-021-09490-w">10.1007/s10758-021-09490-w</a>.
  short: S. Seifert, Technology, Knowledge and Learning 26 (2021) 383–405.
date_created: 2023-01-18T16:10:52Z
date_updated: 2023-01-18T16:45:42Z
department:
- _id: '645'
doi: 10.1007/s10758-021-09490-w
intvolume: '        26'
issue: '2'
keyword:
- Computer Science Applications
- Human-Computer Interaction
- Education
- Mathematics (miscellaneous)
language:
- iso: eng
page: 383-405
publication: Technology, Knowledge and Learning
publication_identifier:
  issn:
  - 2211-1662
  - 2211-1670
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Is Reading Comprehension Taken for Granted? An Analysis of Austrian Textbooks
  in Fourth and Sixth Grade
type: journal_article
user_id: '97270'
volume: 26
year: '2021'
...