@inproceedings{57895,
  abstract     = {{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
for further research.}},
  author       = {{Hoffmann, Max and Schlüter, Sarah}},
  booktitle    = {{Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)}},
  editor       = {{González-Martín, Alejandro S. and Gueudet, Ghislaine and Florensa, Ignasi and Lombard, Nathan}},
  keywords     = {{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}},
  publisher    = {{Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM}},
  title        = {{{How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?}}},
  year         = {{2024}},
}

@inproceedings{31849,
  author       = {{Hoffmann, Max and Biehler, Rolf}},
  booktitle    = {{Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)}},
  editor       = {{Trigueros, Marı́a and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}},
  keywords     = {{Teaching and learning of specific topics in university mathematics, Transition to, across and from university mathematics, Student Teachers, Geometry, Congruence, Double Discontinuity.}},
  publisher    = {{University of Hannover and INDRUM.}},
  title        = {{{Student Teachers ’ Knowledge of Congruence before a University Course on Geometry}}},
  year         = {{2023}},
}

@article{32560,
  abstract     = {{Several methods are available to answer questions regarding similarity and accuracy,
each of which has specific properties and limitations. This study focuses on the
Latent Congruence Model (LCM; Cheung, 2009), because of its capacity to deal
with cross-informant measurement invariance issues. Until now, no cross-national
applications of LCM are present in the literature, perhaps because of the difficulty
to deal with both cross-national and cross-informant measurement issues implied by
those models. This study presents a step-by-step procedure to apply LCM to dyadic
cross-national research designs controlling for both cross-national and cross-informant
measurement invariance. An illustrative example on parent–child support exchanges in
Italy and Germany is provided. Findings help to show the different possible scenarios
of partial invariance, and a discussion related to how to deal with those scenarios is
provided. Future perspectives in the study of parent–child similarity and accuracy in
cross-national research will be discussed.}},
  author       = {{Tagliabue, Semira and Zambelli, Michela and Sorgente, Angela and Sommer, Sabrina and Hoellger, Christian and Buhl, Heike M. and Lanz, Margherita}},
  issn         = {{1664-1078}},
  journal      = {{Frontiers in Psychology}},
  keywords     = {{latent congruence model, measurement invariance, similarity, accuracy, cross-national, cross-informant, parent-child relationship, support exchanges}},
  publisher    = {{Frontiers Media SA}},
  title        = {{{Latent Congruence Model to Investigate Similarity and Accuracy in Family Members' Perception: The Challenge of Cross-National and Cross-Informant Measurement (Non)Invariance}}},
  doi          = {{10.3389/fpsyg.2021.672383}},
  volume       = {{12}},
  year         = {{2021}},
}