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Ebers et al., WTM-Verlag, 2024, pp. 1073–76, doi:<a href=\"https://doi.org/10.37626/GA9783959872782.0\">10.37626/GA9783959872782.0</a>.","ama":"Lankeit E, Biehler R. Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene. In: Ebers P, Rösken F, Barzel B, Büchter A, Schacht F, Scherer P, eds. <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.</i> WTM-Verlag; 2024:1073-1076. doi:<a href=\"https://doi.org/10.37626/GA9783959872782.0\">10.37626/GA9783959872782.0</a>","bibtex":"@inbook{Lankeit_Biehler_2024, place={Münster}, title={Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene}, DOI={<a href=\"https://doi.org/10.37626/GA9783959872782.0\">10.37626/GA9783959872782.0</a>}, booktitle={Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.}, publisher={WTM-Verlag}, author={Lankeit, Elisa and Biehler, Rolf}, editor={Ebers, P. and Rösken, F. and Barzel, B. and Büchter, A. and Schacht, F. and Scherer, P.}, year={2024}, pages={1073–1076} }","apa":"Lankeit, E., &#38; Biehler, R. (2024). Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene. In P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, &#38; P. Scherer (Eds.), <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.</i> (pp. 1073–1076). WTM-Verlag. <a href=\"https://doi.org/10.37626/GA9783959872782.0\">https://doi.org/10.37626/GA9783959872782.0</a>","ieee":"E. Lankeit and R. Biehler, “Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene,” in <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.</i>, P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, Eds. Münster: WTM-Verlag, 2024, pp. 1073–1076.","chicago":"Lankeit, Elisa, and Rolf Biehler. “Bedeutungsfacetten der Beziehungen von Differenzierbarkeit und Stetigkeit im Ein- und Mehrdimensionalen: Ein Blick auf die semantische Ebene.” In <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.</i>, edited by P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, 1073–76. Münster: WTM-Verlag, 2024. <a href=\"https://doi.org/10.37626/GA9783959872782.0\">https://doi.org/10.37626/GA9783959872782.0</a>.","short":"E. Lankeit, R. Biehler, in: P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. 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Jahrestagung der Gesellschaft für Didaktik der Mathematik.</i>, P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, and P. Scherer, Eds. Münster: WTM-Verlag, 2024, pp. 1103–1106.","apa":"Mai, T., &#38; Biehler, R. (2024). Transitionen zwischen Vektorobjekten in Schulbüchern. In P. Ebers, F. Rösken, B. Barzel, A. Büchter, F. Schacht, &#38; P. Scherer (Eds.), <i>Beiträge zum Mathematikunterricht 2024 - 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik.</i> (pp. 1103–1106). 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Gueudet, I. Florensa, N. Lombard (Eds.), INDRUM2024 PROCEEDINGS - Fifth Conference of the International Network for Didactic Research in University Mathematics, Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM, 2024, pp. 65–74.","chicago":"Bauer, Thomas, Rolf Biehler, and Elisa Lankeit. “Designing a Concept Inventory for Real Analysis.” In <i>INDRUM2024 PROCEEDINGS - Fifth Conference of the International Network for Didactic Research in University Mathematics</i>, edited by A. S. Gonzalez-Martin, G. Gueudet, I. Florensa, and N. Lombard, 65–74. Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM, 2024.","apa":"Bauer, T., Biehler, R., &#38; Lankeit, E. (2024). Designing a Concept Inventory for Real Analysis. In A. S. Gonzalez-Martin, G. Gueudet, I. Florensa, &#38; N. Lombard (Eds.), <i>INDRUM2024 PROCEEDINGS - Fifth conference of the International Network for Didactic Research in University Mathematics</i> (pp. 65–74). Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM.","ieee":"T. Bauer, R. Biehler, and E. Lankeit, “Designing a Concept Inventory for Real Analysis,” in <i>INDRUM2024 PROCEEDINGS - Fifth conference of the International Network for Didactic Research in University Mathematics</i>, A. S. Gonzalez-Martin, G. Gueudet, I. Florensa, and N. Lombard, Eds. Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM, 2024, pp. 65–74.","ama":"Bauer T, Biehler R, Lankeit E. Designing a Concept Inventory for Real Analysis. In: Gonzalez-Martin AS, Gueudet G, Florensa I, Lombard N, eds. <i>INDRUM2024 PROCEEDINGS - Fifth Conference of the International Network for Didactic Research in University Mathematics</i>. Escola Univeristaria Salesiana de Sarria (Univ. 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The tool offers the possibility of implementing the design principle of profession orientation. In the article, we theoretically clarify what we understand by this principle and locate our innovative concept against this theoretical background. We empirically investigate the extent to which counteraction against the second discontinuity is successful by analyzing reflection texts created in the interface ePortfolio, focusing on PSTs’ perspectives. Our qualitative content analysis shows that most of them perceive the innovation as helpful in the intended sense and indicates that the course concept, in general, and the interface ePortfolio, in particular, have helped establish relevant links between the course content and their later work as teachers.","lang":"eng"}],"publication":"ZDM – Mathematics Education","department":[{"_id":"643"}],"type":"journal_article","keyword":["General Mathematics","Education"],"date_created":"2023-06-27T11:45:25Z","file":[{"creator":"maxh","date_created":"2023-07-13T09:40:02Z","date_updated":"2023-07-13T09:40:02Z","relation":"main_file","access_level":"closed","file_size":1460246,"file_name":"s11858-023-01505-3.pdf","content_type":"application/pdf","success":1,"file_id":"46041"}],"has_accepted_license":"1","status":"public","user_id":"37888","ddc":["510","370"],"_id":"45786","publisher":"Springer","quality_controlled":"1","citation":{"ama":"Hoffmann M, Biehler R. Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course. <i>ZDM – Mathematics Education</i>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s11858-023-01505-3\">10.1007/s11858-023-01505-3</a>","bibtex":"@article{Hoffmann_Biehler_2023, title={Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course}, DOI={<a href=\"https://doi.org/10.1007/s11858-023-01505-3\">10.1007/s11858-023-01505-3</a>}, journal={ZDM – Mathematics Education}, publisher={Springer}, author={Hoffmann, Max and Biehler, Rolf}, year={2023} }","mla":"Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as a Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s Perspectives on Interface Activities in the Context of a Geometry Course.” <i>ZDM – Mathematics Education</i>, Springer, 2023, doi:<a href=\"https://doi.org/10.1007/s11858-023-01505-3\">10.1007/s11858-023-01505-3</a>.","chicago":"Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as a Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s Perspectives on Interface Activities in the Context of a Geometry Course.” <i>ZDM – Mathematics Education</i>, 2023. <a href=\"https://doi.org/10.1007/s11858-023-01505-3\">https://doi.org/10.1007/s11858-023-01505-3</a>.","short":"M. 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Biehler, “Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course,” <i>ZDM – Mathematics Education</i>, 2023, doi: <a href=\"https://doi.org/10.1007/s11858-023-01505-3\">10.1007/s11858-023-01505-3</a>."},"file_date_updated":"2023-07-13T09:40:02Z","oa":"1"},{"date_updated":"2024-04-18T09:45:13Z","publication_status":"published","author":[{"last_name":"Ostsieker","first_name":"Laura","full_name":"Ostsieker, Laura"},{"first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf","id":"16274"}],"publication_identifier":{"issn":["1869-4918","1869-4926"],"isbn":["9783031141744","9783031141751"]},"year":"2023","title":"Supporting Students in Developing Adequate Concept Images and Definitions at University: The Case of the Convergence of Sequences","status":"public","doi":"10.1007/978-3-031-14175-1_9","user_id":"37888","language":[{"iso":"eng"}],"_id":"35697","publisher":"Springer International Publishing","page":"181-201","citation":{"ieee":"L. Ostsieker and R. Biehler, “Supporting Students in Developing Adequate Concept Images and Definitions at University: The Case of the Convergence of Sequences,” in <i>Practice-Oriented Research in Tertiary Mathematics Education</i>, Cham: Springer International Publishing, 2023, pp. 181–201.","apa":"Ostsieker, L., &#38; Biehler, R. (2023). Supporting Students in Developing Adequate Concept Images and Definitions at University: The Case of the Convergence of Sequences. In <i>Practice-Oriented Research in Tertiary Mathematics Education</i> (pp. 181–201). Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-031-14175-1_9\">https://doi.org/10.1007/978-3-031-14175-1_9</a>","short":"L. Ostsieker, R. 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In <i>Practice-Oriented Research in Tertiary Mathematics Education</i>. Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-031-14175-1_1\">https://doi.org/10.1007/978-3-031-14175-1_1</a>","ieee":"R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, “Practice-Oriented Research in Tertiary Mathematics Education – An Introduction,” in <i>Practice-Oriented Research in Tertiary Mathematics Education</i>, Cham: Springer International Publishing, 2023.","chicago":"Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen, and Carl Winsløw. “Practice-Oriented Research in Tertiary Mathematics Education – An Introduction.” In <i>Practice-Oriented Research in Tertiary Mathematics Education</i>. Cham: Springer International Publishing, 2023. <a href=\"https://doi.org/10.1007/978-3-031-14175-1_1\">https://doi.org/10.1007/978-3-031-14175-1_1</a>.","short":"R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, in: Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, Cham, 2023."},"date_created":"2023-01-10T08:46:17Z","place":"Cham","type":"book_chapter","department":[{"_id":"363"},{"_id":"625"}],"year":"2023","title":"Practice-Oriented Research in Tertiary Mathematics Education – An Introduction","status":"public","author":[{"first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf","id":"16274"},{"first_name":"Michael","orcid":"0000-0001-9887-2074","last_name":"Liebendörfer","full_name":"Liebendörfer, Michael","id":"30933"},{"full_name":"Gueudet, Ghislaine","last_name":"Gueudet","first_name":"Ghislaine"},{"last_name":"Rasmussen","first_name":"Chris","full_name":"Rasmussen, Chris"},{"first_name":"Carl","last_name":"Winsløw","full_name":"Winsløw, Carl"}],"publication_identifier":{"isbn":["9783031141744","9783031141751"],"issn":["1869-4918","1869-4926"]},"publication_status":"published","date_updated":"2024-04-18T10:08:52Z","_id":"35669","publisher":"Springer International Publishing","language":[{"iso":"eng"}],"user_id":"37888","doi":"10.1007/978-3-031-14175-1_1"},{"page":"91-117","_id":"35681","language":[{"iso":"eng"}],"publisher":"Springer International Publishing","user_id":"37888","doi":"10.1007/978-3-031-14175-1_5","title":"Framing Goals of Mathematics Support Measures","status":"public","year":"2023","publication_identifier":{"issn":["1869-4918","1869-4926"],"isbn":["9783031141744","9783031141751"]},"author":[{"full_name":"Liebendörfer, Michael","first_name":"Michael","orcid":"0000-0001-9887-2074","last_name":"Liebendörfer","id":"30933"},{"full_name":"Büdenbender-Kuklinski, Christiane","last_name":"Büdenbender-Kuklinski","first_name":"Christiane"},{"first_name":"Elisa","last_name":"Lankeit","full_name":"Lankeit, Elisa"},{"id":"59707","orcid":"0000-0003-2646-085X","last_name":"Schürmann","first_name":"Mirko","full_name":"Schürmann, Mirko"},{"id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"},{"full_name":"Schaper, Niclas","last_name":"Schaper","first_name":"Niclas"}],"publication_status":"published","date_updated":"2024-04-18T10:10:22Z","date_created":"2023-01-10T08:55:08Z","place":"Cham","type":"book_chapter","department":[{"_id":"363"},{"_id":"423"},{"_id":"625"}],"publication":"Practice-Oriented Research in Tertiary Mathematics Education","citation":{"bibtex":"@inbook{Liebendörfer_Büdenbender-Kuklinski_Lankeit_Schürmann_Biehler_Schaper_2023, place={Cham}, title={Framing Goals of Mathematics Support Measures}, DOI={<a href=\"https://doi.org/10.1007/978-3-031-14175-1_5\">10.1007/978-3-031-14175-1_5</a>}, booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer International Publishing}, author={Liebendörfer, Michael and Büdenbender-Kuklinski, Christiane and Lankeit, Elisa and Schürmann, Mirko and Biehler, Rolf and Schaper, Niclas}, year={2023}, pages={91–117} }","ama":"Liebendörfer M, Büdenbender-Kuklinski C, Lankeit E, Schürmann M, Biehler R, Schaper N. Framing Goals of Mathematics Support Measures. In: <i>Practice-Oriented Research in Tertiary Mathematics Education</i>. Springer International Publishing; 2023:91-117. doi:<a href=\"https://doi.org/10.1007/978-3-031-14175-1_5\">10.1007/978-3-031-14175-1_5</a>","mla":"Liebendörfer, Michael, et al. “Framing Goals of Mathematics Support Measures.” <i>Practice-Oriented Research in Tertiary Mathematics Education</i>, Springer International Publishing, 2023, pp. 91–117, doi:<a href=\"https://doi.org/10.1007/978-3-031-14175-1_5\">10.1007/978-3-031-14175-1_5</a>.","short":"M. Liebendörfer, C. Büdenbender-Kuklinski, E. Lankeit, M. Schürmann, R. Biehler, N. Schaper, in: Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, Cham, 2023, pp. 91–117.","chicago":"Liebendörfer, Michael, Christiane Büdenbender-Kuklinski, Elisa Lankeit, Mirko Schürmann, Rolf Biehler, and Niclas Schaper. “Framing Goals of Mathematics Support Measures.” In <i>Practice-Oriented Research in Tertiary Mathematics Education</i>, 91–117. Cham: Springer International Publishing, 2023. <a href=\"https://doi.org/10.1007/978-3-031-14175-1_5\">https://doi.org/10.1007/978-3-031-14175-1_5</a>.","ieee":"M. Liebendörfer, C. Büdenbender-Kuklinski, E. Lankeit, M. Schürmann, R. Biehler, and N. Schaper, “Framing Goals of Mathematics Support Measures,” in <i>Practice-Oriented Research in Tertiary Mathematics Education</i>, Cham: Springer International Publishing, 2023, pp. 91–117.","apa":"Liebendörfer, M., Büdenbender-Kuklinski, C., Lankeit, E., Schürmann, M., Biehler, R., &#38; Schaper, N. (2023). Framing Goals of Mathematics Support Measures. In <i>Practice-Oriented Research in Tertiary Mathematics Education</i> (pp. 91–117). Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-031-14175-1_5\">https://doi.org/10.1007/978-3-031-14175-1_5</a>"}},{"department":[{"_id":"363"},{"_id":"625"}],"type":"book_editor","date_created":"2023-07-26T10:16:08Z","place":"Cham","citation":{"bibtex":"@book{Biehler_Liebendörfer_Gueudet_Rasmussen_Winsløw_2023, place={Cham}, title={Practice-Oriented Research in Tertiary Mathematics Education}, DOI={<a href=\"https://doi.org/10.1007/978-3-031-14175-1\">10.1007/978-3-031-14175-1</a>}, publisher={Springer International Publishing}, year={2023} }","ama":"Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winsløw C, eds. <i>Practice-Oriented Research in Tertiary Mathematics Education</i>. Springer International Publishing; 2023. doi:<a href=\"https://doi.org/10.1007/978-3-031-14175-1\">10.1007/978-3-031-14175-1</a>","mla":"Biehler, Rolf, et al., editors. <i>Practice-Oriented Research in Tertiary Mathematics Education</i>. Springer International Publishing, 2023, doi:<a href=\"https://doi.org/10.1007/978-3-031-14175-1\">10.1007/978-3-031-14175-1</a>.","short":"R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, eds., Practice-Oriented Research in Tertiary Mathematics Education, Springer International Publishing, Cham, 2023.","chicago":"Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen, and Carl Winsløw, eds. <i>Practice-Oriented Research in Tertiary Mathematics Education</i>. Cham: Springer International Publishing, 2023. <a href=\"https://doi.org/10.1007/978-3-031-14175-1\">https://doi.org/10.1007/978-3-031-14175-1</a>.","ieee":"R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, Eds., <i>Practice-Oriented Research in Tertiary Mathematics Education</i>. Cham: Springer International Publishing, 2023.","apa":"Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., &#38; Winsløw, C. (Eds.). (2023). <i>Practice-Oriented Research in Tertiary Mathematics Education</i>. Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-031-14175-1\">https://doi.org/10.1007/978-3-031-14175-1</a>"},"editor":[{"id":"16274","full_name":"Biehler, Rolf","first_name":"Rolf","last_name":"Biehler"},{"orcid":"0000-0001-9887-2074","first_name":"Michael","last_name":"Liebendörfer","full_name":"Liebendörfer, Michael","id":"30933"},{"last_name":"Gueudet","first_name":"Ghislaine","full_name":"Gueudet, Ghislaine"},{"first_name":"Chris","last_name":"Rasmussen","full_name":"Rasmussen, Chris"},{"first_name":"Carl","last_name":"Winsløw","full_name":"Winsløw, Carl"}],"user_id":"37888","doi":"10.1007/978-3-031-14175-1","_id":"46157","publisher":"Springer International Publishing","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2024-04-18T10:09:52Z","publication_identifier":{"issn":["1869-4918","1869-4926"],"isbn":["9783031141744","9783031141751"]},"year":"2023","title":"Practice-Oriented Research in Tertiary Mathematics Education","status":"public"},{"intvolume":"       114","date_updated":"2024-04-18T10:10:59Z","author":[{"id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"},{"id":"30933","last_name":"Liebendörfer","first_name":"Michael","orcid":"0000-0001-9887-2074","full_name":"Liebendörfer, Michael"},{"full_name":"Schmitz, A.","first_name":"A.","last_name":"Schmitz"}],"year":"2023","title":"Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos","status":"public","volume":114,"user_id":"37888","_id":"43504","language":[{"iso":"ger"}],"page":"8-12","citation":{"short":"R. Biehler, M. Liebendörfer, A. Schmitz, Mitteilungen der Gesellschaft für Didaktik der Mathematik 114 (2023) 8–12.","chicago":"Biehler, Rolf, Michael Liebendörfer, and A. Schmitz. “Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos.” <i>Mitteilungen der Gesellschaft für Didaktik der Mathematik</i> 114 (2023): 8–12.","ieee":"R. Biehler, M. Liebendörfer, and A. Schmitz, “Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos,” <i>Mitteilungen der Gesellschaft für Didaktik der Mathematik</i>, vol. 114, pp. 8–12, 2023.","apa":"Biehler, R., Liebendörfer, M., &#38; Schmitz, A. (2023). Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos. <i>Mitteilungen der Gesellschaft für Didaktik der Mathematik</i>, <i>114</i>, 8–12.","bibtex":"@article{Biehler_Liebendörfer_Schmitz_2023, title={Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos}, volume={114}, journal={Mitteilungen der Gesellschaft für Didaktik der Mathematik}, author={Biehler, Rolf and Liebendörfer, Michael and Schmitz, A.}, year={2023}, pages={8–12} }","ama":"Biehler R, Liebendörfer M, Schmitz A. Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos. <i>Mitteilungen der Gesellschaft für Didaktik der Mathematik</i>. 2023;114:8-12.","mla":"Biehler, Rolf, et al. “Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos.” <i>Mitteilungen der Gesellschaft für Didaktik der Mathematik</i>, vol. 114, 2023, pp. 8–12."},"publication":"Mitteilungen der Gesellschaft für Didaktik der Mathematik","department":[{"_id":"363"},{"_id":"625"}],"type":"journal_article","date_created":"2023-04-14T09:25:18Z"},{"language":[{"iso":"eng"}],"main_file_link":[{"url":"https://hal.univ-reims.fr/INDRUM2022/","open_access":"1"}],"author":[{"id":"32202","full_name":"Hoffmann, Max","first_name":"Max","last_name":"Hoffmann","orcid":"0000-0002-6964-7123"},{"first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf","id":"16274"}],"year":"2023","title":"Student Teachers ’ Knowledge of Congruence before a University Course on Geometry","publication_status":"published","date_updated":"2023-03-25T10:11:35Z","date_created":"2022-06-12T11:07:34Z","file":[{"date_created":"2023-03-25T10:01:03Z","creator":"maxh","file_id":"43096","success":1,"content_type":"application/pdf","file_name":"HoffmannBiehler2022_indrum_congruence.pdf","access_level":"closed","file_size":201942,"relation":"main_file","date_updated":"2023-03-25T10:01:03Z"}],"department":[{"_id":"97"}],"type":"conference","keyword":["Teaching and learning of specific topics in university mathematics","Transition to","across and from university mathematics","Student Teachers","Geometry","Congruence","Double Discontinuity."],"publication":"Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)","_id":"31849","publisher":"University of Hannover and INDRUM.","editor":[{"last_name":"Trigueros","first_name":"Marı́a","full_name":"Trigueros, Marı́a"},{"full_name":"Barquero, Berta","first_name":"Berta","last_name":"Barquero"},{"full_name":"Hochmuth, Reinhard","first_name":"Reinhard","last_name":"Hochmuth"},{"first_name":"Jana","last_name":"Peters","full_name":"Peters, Jana"}],"user_id":"32202","ddc":["370","510"],"status":"public","has_accepted_license":"1","place":"Hannover","oa":"1","citation":{"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.","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."},"file_date_updated":"2023-03-25T10:01:03Z","quality_controlled":"1"},{"issue":"4","publication":"ZDM – Mathematics Education","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Intending to counteract Klein’s second discontinuity in teacher education, we explored and applied the innovation of “<jats:italic>interface ePortfolio</jats:italic>” in the context of a geometry course for preservice teachers (PSTs). The tool offers the possibility of implementing the design principle of <jats:italic>profession orientation</jats:italic>. In the article, we theoretically clarify what we understand by this principle and locate our innovative concept against this theoretical background. We empirically investigate the extent to which counteraction against the second discontinuity is successful by analyzing reflection texts created in the interface ePortfolio, focusing on PSTs’ perspectives. Our qualitative content analysis shows that most of them perceive the innovation as helpful in the intended sense and indicates that the course concept, in general, and the interface ePortfolio, in particular, have helped establish relevant links between the course content and their later work as teachers.</jats:p>","lang":"eng"}],"date_created":"2024-09-23T07:51:34Z","department":[{"_id":"363"}],"type":"journal_article","author":[{"full_name":"Hoffmann, Max","last_name":"Hoffmann","orcid":"0000-0002-6964-7123","first_name":"Max","id":"32202"},{"id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"}],"publication_identifier":{"issn":["1863-9690","1863-9704"]},"year":"2023","title":"Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course","intvolume":"        55","date_updated":"2024-09-25T08:26:34Z","publication_status":"published","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://link.springer.com/article/10.1007/s11858-023-01505-3"}],"doi":"10.1007/s11858-023-01505-3","citation":{"apa":"Hoffmann, M., &#38; Biehler, R. (2023). Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course. <i>ZDM – Mathematics Education</i>, <i>55</i>(4), 737–751. <a href=\"https://doi.org/10.1007/s11858-023-01505-3\">https://doi.org/10.1007/s11858-023-01505-3</a>","ieee":"M. Hoffmann and R. Biehler, “Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course,” <i>ZDM – Mathematics Education</i>, vol. 55, no. 4, pp. 737–751, 2023, doi: <a href=\"https://doi.org/10.1007/s11858-023-01505-3\">10.1007/s11858-023-01505-3</a>.","chicago":"Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as a Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s Perspectives on Interface Activities in the Context of a Geometry Course.” <i>ZDM – Mathematics Education</i> 55, no. 4 (2023): 737–51. <a href=\"https://doi.org/10.1007/s11858-023-01505-3\">https://doi.org/10.1007/s11858-023-01505-3</a>.","short":"M. Hoffmann, R. Biehler, ZDM – Mathematics Education 55 (2023) 737–751.","mla":"Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as a Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s Perspectives on Interface Activities in the Context of a Geometry Course.” <i>ZDM – Mathematics Education</i>, vol. 55, no. 4, Springer Science and Business Media LLC, 2023, pp. 737–51, doi:<a href=\"https://doi.org/10.1007/s11858-023-01505-3\">10.1007/s11858-023-01505-3</a>.","ama":"Hoffmann M, Biehler R. Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course. <i>ZDM – Mathematics Education</i>. 2023;55(4):737-751. doi:<a href=\"https://doi.org/10.1007/s11858-023-01505-3\">10.1007/s11858-023-01505-3</a>","bibtex":"@article{Hoffmann_Biehler_2023, title={Implementing profession orientation as a design principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives on interface activities in the context of a geometry course}, volume={55}, DOI={<a href=\"https://doi.org/10.1007/s11858-023-01505-3\">10.1007/s11858-023-01505-3</a>}, number={4}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Hoffmann, Max and Biehler, Rolf}, year={2023}, pages={737–751} }"},"status":"public","publisher":"Springer Science and Business Media LLC","_id":"56200","page":"737-751","volume":55,"user_id":"37888"},{"_id":"58097","publisher":"WTM-Verlag","language":[{"iso":"ger"}],"user_id":"37888","ddc":["510"],"author":[{"last_name":"Mai","first_name":"Tobias","full_name":"Mai, Tobias"},{"id":"16274","first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf"}],"corporate_editor":["IDMI-Primar Goethe-Universität Frankfurt"],"status":"public","year":"2023","title":"Einblicke in ein Referenzmodell zur Analyse der Einführung von Vektoren in Schulbüchern","has_accepted_license":"1","date_updated":"2025-01-08T08:17:40Z","date_created":"2025-01-08T08:17:35Z","place":"Münster","file":[{"creator":"krueter","date_created":"2025-01-08T08:17:16Z","file_name":"Mai aus Beitraege_2022___ISBN9783959872089-3.pdf","file_size":546218,"access_level":"closed","relation":"main_file","date_updated":"2025-01-08T08:17:16Z","file_id":"58098","success":1,"content_type":"application/pdf"}],"department":[{"_id":"363"}],"type":"book_chapter","citation":{"ieee":"T. Mai and R. Biehler, “Einblicke in ein Referenzmodell zur Analyse der Einführung von Vektoren in Schulbüchern,” in <i>Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i>, IDMI-Primar Goethe-Universität Frankfurt, Ed. Münster: WTM-Verlag, 2023.","apa":"Mai, T., &#38; Biehler, R. (2023). Einblicke in ein Referenzmodell zur Analyse der Einführung von Vektoren in Schulbüchern. In IDMI-Primar Goethe-Universität Frankfurt (Ed.), <i>Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i>. WTM-Verlag.","mla":"Mai, Tobias, and Rolf Biehler. “Einblicke in ein Referenzmodell zur Analyse der Einführung von Vektoren in Schulbüchern.” <i>Beiträge zum Mathematikunterricht 2022. 56. 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