[{"publication":"Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)","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."}],"date_created":"2025-01-02T10:45:53Z","file":[{"access_level":"closed","file_size":315111,"file_name":"2024_Hoffmann_Schlueter_CongruenceQuadrilaterals.pdf","date_updated":"2025-01-02T10:42:21Z","relation":"main_file","success":1,"content_type":"application/pdf","file_id":"57896","creator":"maxh","date_created":"2025-01-02T10:42:21Z"}],"department":[{"_id":"97"},{"_id":"643"}],"type":"conference","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"],"author":[{"first_name":"Max","last_name":"Hoffmann","orcid":"0000-0002-6964-7123","full_name":"Hoffmann, Max","id":"32202"},{"full_name":"Schlüter, Sarah","last_name":"Schlüter","first_name":"Sarah"}],"year":"2024","title":"How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?","date_updated":"2025-01-02T10:45:59Z","publication_status":"published","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://indrum2024.sciencesconf.org/data/pages/Proceedings_INDRUM2024.pdf"}],"citation":{"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} }","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.","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.","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.","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.","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."},"file_date_updated":"2025-01-02T10:42:21Z","quality_controlled":"1","place":"Barcelona","oa":"1","status":"public","has_accepted_license":"1","publisher":"Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM","_id":"57895","editor":[{"full_name":"González-Martín, Alejandro S.","last_name":"González-Martín","first_name":"Alejandro S."},{"last_name":"Gueudet","first_name":"Ghislaine","full_name":"Gueudet, Ghislaine"},{"full_name":"Florensa, Ignasi","first_name":"Ignasi","last_name":"Florensa"},{"first_name":"Nathan","last_name":"Lombard","full_name":"Lombard, Nathan"}],"ddc":["370","510"],"user_id":"32202"},{"has_accepted_license":"1","status":"public","ddc":["370","510"],"user_id":"32202","editor":[{"last_name":"Trigueros","first_name":"Marı́a","full_name":"Trigueros, Marı́a"},{"last_name":"Barquero","first_name":"Berta","full_name":"Barquero, Berta"},{"first_name":"Reinhard","last_name":"Hochmuth","full_name":"Hochmuth, Reinhard"},{"first_name":"Jana","last_name":"Peters","full_name":"Peters, Jana"}],"_id":"31849","publisher":"University of Hannover and INDRUM.","quality_controlled":"1","file_date_updated":"2023-03-25T10:01:03Z","citation":{"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.","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.","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.","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.","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.","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} }","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."},"oa":"1","place":"Hannover","date_updated":"2023-03-25T10:11:35Z","publication_status":"published","year":"2023","title":"Student Teachers ’ Knowledge of Congruence before a University Course on Geometry","author":[{"id":"32202","full_name":"Hoffmann, Max","orcid":"0000-0002-6964-7123","last_name":"Hoffmann","first_name":"Max"},{"last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf","id":"16274"}],"main_file_link":[{"url":"https://hal.univ-reims.fr/INDRUM2022/","open_access":"1"}],"language":[{"iso":"eng"}],"license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","publication":"Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)","keyword":["Teaching and learning of specific topics in university mathematics","Transition to","across and from university mathematics","Student Teachers","Geometry","Congruence","Double Discontinuity."],"type":"conference","department":[{"_id":"97"}],"file":[{"date_updated":"2023-03-25T10:01:03Z","relation":"main_file","access_level":"closed","file_size":201942,"file_name":"HoffmannBiehler2022_indrum_congruence.pdf","success":1,"content_type":"application/pdf","file_id":"43096","creator":"maxh","date_created":"2023-03-25T10:01:03Z"}],"date_created":"2022-06-12T11:07:34Z"},{"volume":12,"user_id":"42165","publisher":"Frontiers Media SA","_id":"32560","status":"public","oa":"1","citation":{"ama":"Tagliabue S, Zambelli M, Sorgente A, et al. Latent Congruence Model to Investigate Similarity and Accuracy in Family Members’ Perception: The Challenge of Cross-National and Cross-Informant Measurement (Non)Invariance. <i>Frontiers in Psychology</i>. 2021;12. doi:<a href=\"https://doi.org/10.3389/fpsyg.2021.672383\">10.3389/fpsyg.2021.672383</a>","short":"S. Tagliabue, M. Zambelli, A. Sorgente, S. Sommer, C. Hoellger, H.M. Buhl, M. Lanz, Frontiers in Psychology 12 (2021).","chicago":"Tagliabue, Semira, Michela Zambelli, Angela Sorgente, Sabrina Sommer, Christian Hoellger, Heike M. Buhl, and Margherita Lanz. “Latent Congruence Model to Investigate Similarity and Accuracy in Family Members’ Perception: The Challenge of Cross-National and Cross-Informant Measurement (Non)Invariance.” <i>Frontiers in Psychology</i> 12 (2021). <a href=\"https://doi.org/10.3389/fpsyg.2021.672383\">https://doi.org/10.3389/fpsyg.2021.672383</a>.","bibtex":"@article{Tagliabue_Zambelli_Sorgente_Sommer_Hoellger_Buhl_Lanz_2021, title={Latent Congruence Model to Investigate Similarity and Accuracy in Family Members’ Perception: The Challenge of Cross-National and Cross-Informant Measurement (Non)Invariance}, volume={12}, DOI={<a href=\"https://doi.org/10.3389/fpsyg.2021.672383\">10.3389/fpsyg.2021.672383</a>}, number={672383}, journal={Frontiers in Psychology}, publisher={Frontiers Media SA}, author={Tagliabue, Semira and Zambelli, Michela and Sorgente, Angela and Sommer, Sabrina and Hoellger, Christian and Buhl, Heike M. and Lanz, Margherita}, year={2021} }","apa":"Tagliabue, S., Zambelli, M., Sorgente, A., Sommer, S., Hoellger, C., Buhl, H. M., &#38; Lanz, M. (2021). Latent Congruence Model to Investigate Similarity and Accuracy in Family Members’ Perception: The Challenge of Cross-National and Cross-Informant Measurement (Non)Invariance. <i>Frontiers in Psychology</i>, <i>12</i>, Article 672383. <a href=\"https://doi.org/10.3389/fpsyg.2021.672383\">https://doi.org/10.3389/fpsyg.2021.672383</a>","mla":"Tagliabue, Semira, et al. “Latent Congruence Model to Investigate Similarity and Accuracy in Family Members’ Perception: The Challenge of Cross-National and Cross-Informant Measurement (Non)Invariance.” <i>Frontiers in Psychology</i>, vol. 12, 672383, Frontiers Media SA, 2021, doi:<a href=\"https://doi.org/10.3389/fpsyg.2021.672383\">10.3389/fpsyg.2021.672383</a>.","ieee":"S. Tagliabue <i>et al.</i>, “Latent Congruence Model to Investigate Similarity and Accuracy in Family Members’ Perception: The Challenge of Cross-National and Cross-Informant Measurement (Non)Invariance,” <i>Frontiers in Psychology</i>, vol. 12, Art. no. 672383, 2021, doi: <a href=\"https://doi.org/10.3389/fpsyg.2021.672383\">10.3389/fpsyg.2021.672383</a>."},"doi":"10.3389/fpsyg.2021.672383","language":[{"iso":"eng"}],"article_number":"672383","main_file_link":[{"open_access":"1","url":"https://www.frontiersin.org/articles/10.3389/fpsyg.2021.672383/pdf"}],"intvolume":"        12","publication_status":"published","date_updated":"2022-08-29T06:38:34Z","publication_identifier":{"issn":["1664-1078"]},"author":[{"last_name":"Tagliabue","first_name":"Semira","full_name":"Tagliabue, Semira"},{"first_name":"Michela","last_name":"Zambelli","full_name":"Zambelli, Michela"},{"last_name":"Sorgente","first_name":"Angela","full_name":"Sorgente, Angela"},{"first_name":"Sabrina","last_name":"Sommer","full_name":"Sommer, Sabrina"},{"last_name":"Hoellger","first_name":"Christian","full_name":"Hoellger, Christian"},{"first_name":"Heike M.","last_name":"Buhl","full_name":"Buhl, Heike M.","id":"27152"},{"first_name":"Margherita","last_name":"Lanz","full_name":"Lanz, Margherita"}],"year":"2021","title":"Latent Congruence Model to Investigate Similarity and Accuracy in Family Members' Perception: The Challenge of Cross-National and Cross-Informant Measurement (Non)Invariance","department":[{"_id":"427"}],"type":"journal_article","keyword":["latent congruence model","measurement invariance","similarity","accuracy","cross-national","cross-informant","parent-child relationship","support exchanges"],"date_created":"2022-08-03T05:59:20Z","abstract":[{"lang":"eng","text":"Several methods are available to answer questions regarding similarity and accuracy,\r\neach of which has specific properties and limitations. This study focuses on the\r\nLatent Congruence Model (LCM; Cheung, 2009), because of its capacity to deal\r\nwith cross-informant measurement invariance issues. Until now, no cross-national\r\napplications of LCM are present in the literature, perhaps because of the difficulty\r\nto deal with both cross-national and cross-informant measurement issues implied by\r\nthose models. This study presents a step-by-step procedure to apply LCM to dyadic\r\ncross-national research designs controlling for both cross-national and cross-informant\r\nmeasurement invariance. An illustrative example on parent–child support exchanges in\r\nItaly and Germany is provided. Findings help to show the different possible scenarios\r\nof partial invariance, and a discussion related to how to deal with those scenarios is\r\nprovided. Future perspectives in the study of parent–child similarity and accuracy in\r\ncross-national research will be discussed."}],"publication":"Frontiers in Psychology"}]