---
_id: '57895'
abstract:
- lang: eng
  text: "In our paper, we present a study in which we investigate which strategies
    pre-service teachers (PSTs) use to find and, if necessary, reject possible candidates
    for congruence theorems for quadrilaterals. This study was conducted before the
    PTSs attended a university geometry course. In this way, statements about learning
    prerequisites can be made. For the study, we analyzed group discussions of PSTs
    to identify typical approaches and evaluate them from a mathematical perspective.
    The results can be considered for the further development of courses for PSTs
    and generate hypotheses\r\nfor further research."
author:
- first_name: Max
  full_name: Hoffmann, Max
  id: '32202'
  last_name: Hoffmann
  orcid: 0000-0002-6964-7123
- first_name: Sarah
  full_name: Schlüter, Sarah
  last_name: Schlüter
citation:
  ama: 'Hoffmann M, Schlüter S. How Do Advanced Pre-Service Teachers Develop Congruence
    Theorems for Quadrilaterals? In: González-Martín AS, Gueudet G, Florensa I, Lombard
    N, eds. <i>Proceedings of the Fifth Conference of the International Network for
    Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)</i>.
    Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and
    INDRUM; 2024.'
  apa: Hoffmann, M., &#38; Schlüter, S. (2024). How Do Advanced Pre-Service Teachers
    Develop Congruence Theorems for Quadrilaterals? In A. S. González-Martín, G. Gueudet,
    I. Florensa, &#38; N. Lombard (Eds.), <i>Proceedings of the Fifth Conference of
    the International Network for Didactic Research in University Mathematics (INDRUM
    2024, 10-14 June 2024)</i>. Escola Univerist`aria Salesiana de Sarri`a – Univ.
    Aut`onoma de Barcelona and INDRUM.
  bibtex: '@inproceedings{Hoffmann_Schlüter_2024, place={Barcelona}, title={How Do
    Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?},
    booktitle={Proceedings of the Fifth Conference of the International Network for
    Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)}, publisher={Escola
    Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM},
    author={Hoffmann, Max and Schlüter, Sarah}, editor={González-Martín, Alejandro
    S. and Gueudet, Ghislaine and Florensa, Ignasi and Lombard, Nathan}, year={2024}
    }'
  chicago: 'Hoffmann, Max, and Sarah Schlüter. “How Do Advanced Pre-Service Teachers
    Develop Congruence Theorems for Quadrilaterals?” In <i>Proceedings of the Fifth
    Conference of the International Network for Didactic Research in University Mathematics
    (INDRUM 2024, 10-14 June 2024)</i>, edited by Alejandro S. González-Martín, Ghislaine
    Gueudet, Ignasi Florensa, and Nathan Lombard. Barcelona: Escola Univerist`aria
    Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM, 2024.'
  ieee: M. Hoffmann and S. Schlüter, “How Do Advanced Pre-Service Teachers Develop
    Congruence Theorems for Quadrilaterals?,” in <i>Proceedings of the Fifth Conference
    of the International Network for Didactic Research in University Mathematics (INDRUM
    2024, 10-14 June 2024)</i>, 2024.
  mla: Hoffmann, Max, and Sarah Schlüter. “How Do Advanced Pre-Service Teachers Develop
    Congruence Theorems for Quadrilaterals?” <i>Proceedings of the Fifth Conference
    of the International Network for Didactic Research in University Mathematics (INDRUM
    2024, 10-14 June 2024)</i>, edited by Alejandro S. González-Martín et al., Escola
    Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM,
    2024.
  short: 'M. Hoffmann, S. Schlüter, in: A.S. González-Martín, G. Gueudet, I. Florensa,
    N. Lombard (Eds.), Proceedings of the Fifth Conference of the International Network
    for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024),
    Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and
    INDRUM, Barcelona, 2024.'
date_created: 2025-01-02T10:45:53Z
date_updated: 2025-01-02T10:45:59Z
ddc:
- '370'
- '510'
department:
- _id: '97'
- _id: '643'
editor:
- first_name: Alejandro S.
  full_name: González-Martín, Alejandro S.
  last_name: González-Martín
- first_name: Ghislaine
  full_name: Gueudet, Ghislaine
  last_name: Gueudet
- first_name: Ignasi
  full_name: Florensa, Ignasi
  last_name: Florensa
- first_name: Nathan
  full_name: Lombard, Nathan
  last_name: Lombard
file:
- access_level: closed
  content_type: application/pdf
  creator: maxh
  date_created: 2025-01-02T10:42:21Z
  date_updated: 2025-01-02T10:42:21Z
  file_id: '57896'
  file_name: 2024_Hoffmann_Schlueter_CongruenceQuadrilaterals.pdf
  file_size: 315111
  relation: main_file
  success: 1
file_date_updated: 2025-01-02T10:42:21Z
has_accepted_license: '1'
keyword:
- Teachers’ and students’ practices at university level
- Transition to
- across and from university mathematics
- Teaching and learning of specific topics in university mathematics
- Congruence
- Quadrilaterals
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://indrum2024.sciencesconf.org/data/pages/Proceedings_INDRUM2024.pdf
oa: '1'
place: Barcelona
publication: Proceedings of the Fifth Conference of the International Network for
  Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)
publication_status: published
publisher: Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona
  and INDRUM
quality_controlled: '1'
status: public
title: How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?
type: conference
user_id: '32202'
year: '2024'
...
---
_id: '31849'
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. Student Teachers ’ Knowledge of Congruence before a
    University Course on Geometry. In: Trigueros M, Barquero B, Hochmuth R, Peters
    J, eds. <i>Proceedings of the Fourth Conference of the International Network for
    Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)</i>.
    University of Hannover and INDRUM.; 2023.'
  apa: Hoffmann, M., &#38; Biehler, R. (2023). Student Teachers ’ Knowledge of Congruence
    before a University Course on Geometry. In M. Trigueros, B. Barquero, R. Hochmuth,
    &#38; J. Peters (Eds.), <i>Proceedings of the Fourth Conference of the International
    Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October
    2022)</i>. University of Hannover and INDRUM.
  bibtex: '@inproceedings{Hoffmann_Biehler_2023, place={Hannover}, title={Student
    Teachers ’ Knowledge of Congruence before a University Course on Geometry}, booktitle={Proceedings
    of the Fourth Conference of the International Network for Didactic Research in
    University Mathematics (INDRUM 2022, 19-22 October 2022)}, publisher={University
    of Hannover and INDRUM.}, author={Hoffmann, Max and Biehler, Rolf}, editor={Trigueros,
    Marı́a and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}, year={2023}
    }'
  chicago: 'Hoffmann, Max, and Rolf Biehler. “Student Teachers ’ Knowledge of Congruence
    before a University Course on Geometry.” In <i>Proceedings of the Fourth Conference
    of the International Network for Didactic Research in University Mathematics (INDRUM
    2022, 19-22 October 2022)</i>, edited by Marı́a Trigueros, Berta Barquero, Reinhard
    Hochmuth, and Jana Peters. Hannover: University of Hannover and INDRUM., 2023.'
  ieee: M. Hoffmann and R. Biehler, “Student Teachers ’ Knowledge of Congruence before
    a University Course on Geometry,” in <i>Proceedings of the Fourth Conference of
    the International Network for Didactic Research in University Mathematics (INDRUM
    2022, 19-22 October 2022)</i>, 2023.
  mla: Hoffmann, Max, and Rolf Biehler. “Student Teachers ’ Knowledge of Congruence
    before a University Course on Geometry.” <i>Proceedings of the Fourth Conference
    of the International Network for Didactic Research in University Mathematics (INDRUM
    2022, 19-22 October 2022)</i>, edited by Marı́a Trigueros et al., University of
    Hannover and INDRUM., 2023.
  short: 'M. Hoffmann, R. Biehler, in: M. Trigueros, B. Barquero, R. Hochmuth, J.
    Peters (Eds.), Proceedings of the Fourth Conference of the International Network
    for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022),
    University of Hannover and INDRUM., Hannover, 2023.'
date_created: 2022-06-12T11:07:34Z
date_updated: 2023-03-25T10:11:35Z
ddc:
- '370'
- '510'
department:
- _id: '97'
editor:
- first_name: Marı́a
  full_name: Trigueros, Marı́a
  last_name: Trigueros
- first_name: Berta
  full_name: Barquero, Berta
  last_name: Barquero
- first_name: Reinhard
  full_name: Hochmuth, Reinhard
  last_name: Hochmuth
- first_name: Jana
  full_name: Peters, Jana
  last_name: Peters
file:
- access_level: closed
  content_type: application/pdf
  creator: maxh
  date_created: 2023-03-25T10:01:03Z
  date_updated: 2023-03-25T10:01:03Z
  file_id: '43096'
  file_name: HoffmannBiehler2022_indrum_congruence.pdf
  file_size: 201942
  relation: main_file
  success: 1
file_date_updated: 2023-03-25T10:01:03Z
has_accepted_license: '1'
keyword:
- Teaching and learning of specific topics in university mathematics
- Transition to
- across and from university mathematics
- Student Teachers
- Geometry
- Congruence
- Double Discontinuity.
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://hal.univ-reims.fr/INDRUM2022/
oa: '1'
place: Hannover
publication: Proceedings of the Fourth Conference of the International Network for
  Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)
publication_status: published
publisher: University of Hannover and INDRUM.
quality_controlled: '1'
status: public
title: Student Teachers ’ Knowledge of Congruence before a University Course on Geometry
type: conference
user_id: '32202'
year: '2023'
...
---
_id: '8575'
abstract:
- lang: eng
  text: The transition from high school to university mathematics has proven to be
    difficult for many students but especially for pre-service secondary teachers.
    To support these students at mastering this transition, various universities have
    introduced support measures of various kinds. The WiGeMath project developed a
    taxonomy that makes it possible to describe and compare these measures concerning
    their goals as well as their frame characteristics. We will exemplify the use
    of the taxonomy in the description of one specific innovative measure that was
    part of the WiGeMath evaluations. Moreover, we will present first results concerning
    the goal-fulfilment of this measure concerning affective characteristics of the
    student cohort and their predominant beliefs.
author:
- first_name: Christiane
  full_name: Kuklinski, Christiane
  last_name: Kuklinski
- first_name: Elena
  full_name: Leis, Elena
  last_name: Leis
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: Reinhard
  full_name: Hochmuth, Reinhard
  last_name: Hochmuth
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Elisa
  full_name: Lankeit, Elisa
  last_name: Lankeit
- first_name: Silke
  full_name: Neuhaus, Silke
  last_name: Neuhaus
- first_name: Niclas
  full_name: Schaper, Niclas
  last_name: Schaper
- first_name: Mirko
  full_name: Schürmann, Mirko
  id: '59707'
  last_name: Schürmann
  orcid: 0000-0003-2646-085X
citation:
  ama: 'Kuklinski C, Leis E, Liebendörfer M, et al. Evaluating Innovative Measures
    in University Mathematics – The Case of Affective Outcomes in a Lecture focused
    on Problem-Solving. In: Durand-Guerrier V, Hochmuth R, Goodchild S, Hogstad NM,
    eds. <i>Proceedings of the Second Conference of the International Network for
    Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)</i>.
    INDRUM Network, University of Agder; 2018:527-536.'
  apa: Kuklinski, C., Leis, E., Liebendörfer, M., Hochmuth, R., Biehler, R., Lankeit,
    E., Neuhaus, S., Schaper, N., &#38; Schürmann, M. (2018). Evaluating Innovative
    Measures in University Mathematics – The Case of Affective Outcomes in a Lecture
    focused on Problem-Solving. In V. Durand-Guerrier, R. Hochmuth, S. Goodchild,
    &#38; N. M. Hogstad (Eds.), <i>Proceedings of the Second Conference of the International
    Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April
    2018)</i> (pp. 527–536). INDRUM Network, University of Agder.
  bibtex: '@inproceedings{Kuklinski_Leis_Liebendörfer_Hochmuth_Biehler_Lankeit_Neuhaus_Schaper_Schürmann_2018,
    place={Kristiansand, Norway}, title={Evaluating Innovative Measures in University
    Mathematics – The Case of Affective Outcomes in a Lecture focused on Problem-Solving},
    booktitle={Proceedings of the Second Conference of the International Network for
    Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)}, publisher={INDRUM
    Network, University of Agder}, author={Kuklinski, Christiane and Leis, Elena and
    Liebendörfer, Michael and Hochmuth, Reinhard and Biehler, Rolf and Lankeit, Elisa
    and Neuhaus, Silke and Schaper, Niclas and Schürmann, Mirko}, editor={Durand-Guerrier,
    V. and Hochmuth, R. and Goodchild, S. and Hogstad, N.M.}, year={2018}, pages={527–536}
    }'
  chicago: 'Kuklinski, Christiane, Elena Leis, Michael Liebendörfer, Reinhard Hochmuth,
    Rolf Biehler, Elisa Lankeit, Silke Neuhaus, Niclas Schaper, and Mirko Schürmann.
    “Evaluating Innovative Measures in University Mathematics – The Case of Affective
    Outcomes in a Lecture Focused on Problem-Solving.” In <i>Proceedings of the Second
    Conference of the International Network for Didactic Research in University Mathematics
    (INDRUM 2018, 5-7 April 2018)</i>, edited by V. Durand-Guerrier, R. Hochmuth,
    S. Goodchild, and N.M. Hogstad, 527–36. Kristiansand, Norway: INDRUM Network,
    University of Agder, 2018.'
  ieee: C. Kuklinski <i>et al.</i>, “Evaluating Innovative Measures in University
    Mathematics – The Case of Affective Outcomes in a Lecture focused on Problem-Solving,”
    in <i>Proceedings of the Second Conference of the International Network for Didactic
    Research in University Mathematics (INDRUM 2018, 5-7 April 2018)</i>, 2018, pp.
    527–536.
  mla: Kuklinski, Christiane, et al. “Evaluating Innovative Measures in University
    Mathematics – The Case of Affective Outcomes in a Lecture Focused on Problem-Solving.”
    <i>Proceedings of the Second Conference of the International Network for Didactic
    Research in University Mathematics (INDRUM 2018, 5-7 April 2018)</i>, edited by
    V. Durand-Guerrier et al., INDRUM Network, University of Agder, 2018, pp. 527–36.
  short: 'C. Kuklinski, E. Leis, M. Liebendörfer, R. Hochmuth, R. Biehler, E. Lankeit,
    S. Neuhaus, N. Schaper, M. Schürmann, in: V. Durand-Guerrier, R. Hochmuth, S.
    Goodchild, N.M. Hogstad (Eds.), Proceedings of the Second Conference of the International
    Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April
    2018), INDRUM Network, University of Agder, Kristiansand, Norway, 2018, pp. 527–536.'
date_created: 2019-03-25T15:35:42Z
date_updated: 2023-01-17T23:36:13Z
department:
- _id: '10'
editor:
- first_name: V.
  full_name: Durand-Guerrier, V.
  last_name: Durand-Guerrier
- first_name: R.
  full_name: Hochmuth, R.
  last_name: Hochmuth
- first_name: S.
  full_name: Goodchild, S.
  last_name: Goodchild
- first_name: N.M.
  full_name: Hogstad, N.M.
  last_name: Hogstad
extern: '1'
keyword:
- Beliefs.
- Motivational developments
- Novel approaches to teaching
- Teacher education
- Transition to and across university mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://hal.archives-ouvertes.fr/INDRUM2018/public/Indrum2018Proceedings.pdf
oa: '1'
page: 527-536
place: Kristiansand, Norway
publication: Proceedings of the Second Conference of the International Network for
  Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)
publisher: INDRUM Network, University of Agder
quality_controlled: '1'
status: public
title: Evaluating Innovative Measures in University Mathematics – The Case of Affective
  Outcomes in a Lecture focused on Problem-Solving
type: conference
user_id: '14931'
year: '2018'
...
---
_id: '4421'
abstract:
- lang: eng
  text: In Switzerland, every student graduating from grammar school can begin to
    study at a university. This leads to high dropout rates. Although students’ motivation
    is considered a strong predictor of performance, the development of motivation
    during students’ transition from high school to university has rarely been investigated.
    Additionally, little is known about the relation of motivational aspects with
    other influences on study performance. The present longitudinal study addresses
    this research gap and examines the development of economics and management students’
    study motivation. It encompasses four waves of data collected throughout the first
    year, using quantitative online surveys. In total, the sample consists of 820
    students. Data is analysed using latent change modelling. Results indicate that
    students start at a higher level of intrinsic motivation compared to extrinsic
    motivation. The variability of the starting value of the two constructs is also
    differing. The analysis also shows a gradual decline in students’ motivation.
    Above all, the transition from secondary to higher education seems to be a driver
    for this decline.
author:
- first_name: Taiga
  full_name: Brahm, Taiga
  last_name: Brahm
- first_name: Tobias
  full_name: Jenert, Tobias
  last_name: Jenert
- first_name: Dietrich
  full_name: Wagner, Dietrich
  last_name: Wagner
citation:
  ama: 'Brahm T, Jenert T, Wagner D. The crucial first year: a longitudinal study
    of students’ motivational development at a Swiss Business School. <i>Higher Education</i>.
    2016;73(3):459-478. doi:<a href="https://doi.org/10.1007/s10734-016-0095-8">10.1007/s10734-016-0095-8</a>'
  apa: 'Brahm, T., Jenert, T., &#38; Wagner, D. (2016). The crucial first year: a
    longitudinal study of students’ motivational development at a Swiss Business School.
    <i>Higher Education</i>, <i>73</i>(3), 459–478. <a href="https://doi.org/10.1007/s10734-016-0095-8">https://doi.org/10.1007/s10734-016-0095-8</a>'
  bibtex: '@article{Brahm_Jenert_Wagner_2016, title={The crucial first year: a longitudinal
    study of students’ motivational development at a Swiss Business School}, volume={73},
    DOI={<a href="https://doi.org/10.1007/s10734-016-0095-8">10.1007/s10734-016-0095-8</a>},
    number={3}, journal={Higher Education}, publisher={Springer Nature}, author={Brahm,
    Taiga and Jenert, Tobias and Wagner, Dietrich}, year={2016}, pages={459–478} }'
  chicago: 'Brahm, Taiga, Tobias Jenert, and Dietrich Wagner. “The Crucial First Year:
    A Longitudinal Study of Students’ Motivational Development at a Swiss Business
    School.” <i>Higher Education</i> 73, no. 3 (2016): 459–78. <a href="https://doi.org/10.1007/s10734-016-0095-8">https://doi.org/10.1007/s10734-016-0095-8</a>.'
  ieee: 'T. Brahm, T. Jenert, and D. Wagner, “The crucial first year: a longitudinal
    study of students’ motivational development at a Swiss Business School,” <i>Higher
    Education</i>, vol. 73, no. 3, pp. 459–478, 2016.'
  mla: 'Brahm, Taiga, et al. “The Crucial First Year: A Longitudinal Study of Students’
    Motivational Development at a Swiss Business School.” <i>Higher Education</i>,
    vol. 73, no. 3, Springer Nature, 2016, pp. 459–78, doi:<a href="https://doi.org/10.1007/s10734-016-0095-8">10.1007/s10734-016-0095-8</a>.'
  short: T. Brahm, T. Jenert, D. Wagner, Higher Education 73 (2016) 459–478.
date_created: 2018-09-18T08:58:54Z
date_updated: 2022-01-06T07:01:03Z
department:
- _id: '208'
- _id: '282'
doi: 10.1007/s10734-016-0095-8
extern: '1'
intvolume: '        73'
issue: '3'
keyword:
- Transition to higher education
- Motivation
- Longitudinal study
- Socio-cultural factors
- Latent change model
- Switzerland
page: 459-478
publication: Higher Education
publication_identifier:
  issn:
  - 0018-1560
  - 1573-174X
publication_status: published
publisher: Springer Nature
status: public
title: 'The crucial first year: a longitudinal study of students’ motivational development
  at a Swiss Business School'
type: journal_article
user_id: '51057'
volume: 73
year: '2016'
...