[{"has_accepted_license":"1","status":"public","ddc":["370","510"],"user_id":"32202","editor":[{"first_name":"Alejandro S.","last_name":"González-Martín","full_name":"González-Martín, Alejandro S."},{"full_name":"Gueudet, Ghislaine","last_name":"Gueudet","first_name":"Ghislaine"},{"first_name":"Ignasi","last_name":"Florensa","full_name":"Florensa, Ignasi"},{"full_name":"Lombard, Nathan","last_name":"Lombard","first_name":"Nathan"}],"_id":"57895","publisher":"Escola Univerist`aria Salesiana de Sarri`a – Univ. Aut`onoma de Barcelona and INDRUM","quality_controlled":"1","file_date_updated":"2025-01-02T10:42:21Z","citation":{"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.","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.","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} }","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.","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."},"oa":"1","place":"Barcelona","date_updated":"2025-01-02T10:45:59Z","publication_status":"published","title":"How Do Advanced Pre-Service Teachers Develop Congruence Theorems for Quadrilaterals?","year":"2024","author":[{"id":"32202","full_name":"Hoffmann, Max","orcid":"0000-0002-6964-7123","first_name":"Max","last_name":"Hoffmann"},{"first_name":"Sarah","last_name":"Schlüter","full_name":"Schlüter, Sarah"}],"main_file_link":[{"url":"https://indrum2024.sciencesconf.org/data/pages/Proceedings_INDRUM2024.pdf","open_access":"1"}],"language":[{"iso":"eng"}],"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."}],"publication":"Proceedings of the Fifth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2024, 10-14 June 2024)","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"],"type":"conference","department":[{"_id":"97"},{"_id":"643"}],"file":[{"file_size":315111,"access_level":"closed","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"}],"date_created":"2025-01-02T10:45:53Z"},{"file":[{"file_name":"HoffmannBiehler2022_indrum_congruence.pdf","file_size":201942,"access_level":"closed","relation":"main_file","date_updated":"2023-03-25T10:01:03Z","file_id":"43096","success":1,"content_type":"application/pdf","creator":"maxh","date_created":"2023-03-25T10:01:03Z"}],"date_created":"2022-06-12T11:07:34Z","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"}],"publication":"Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)","main_file_link":[{"open_access":"1","url":"https://hal.univ-reims.fr/INDRUM2022/"}],"language":[{"iso":"eng"}],"year":"2023","title":"Student Teachers ’ Knowledge of Congruence before a University Course on Geometry","author":[{"last_name":"Hoffmann","orcid":"0000-0002-6964-7123","first_name":"Max","full_name":"Hoffmann, Max","id":"32202"},{"id":"16274","first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf"}],"publication_status":"published","date_updated":"2023-03-25T10:11:35Z","place":"Hannover","oa":"1","file_date_updated":"2023-03-25T10:01:03Z","citation":{"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.","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.","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.","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.","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.","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} }","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."},"quality_controlled":"1","_id":"31849","publisher":"University of Hannover and INDRUM.","user_id":"32202","ddc":["370","510"],"editor":[{"first_name":"Marı́a","last_name":"Trigueros","full_name":"Trigueros, Marı́a"},{"full_name":"Barquero, Berta","last_name":"Barquero","first_name":"Berta"},{"full_name":"Hochmuth, Reinhard","first_name":"Reinhard","last_name":"Hochmuth"},{"first_name":"Jana","last_name":"Peters","full_name":"Peters, Jana"}],"status":"public","has_accepted_license":"1"}]