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Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten. <i>Stochastik in der Schule</i>, <i>45</i>(2), 9–16.","chicago":"Podworny, Susanne, Yannik Fleischer, and Rolf Biehler. “Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten.” <i>Stochastik in der Schule</i> 45, no. 2 (2025): 9–16.","ieee":"S. Podworny, Y. Fleischer, and R. Biehler, “Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten,” <i>Stochastik in der Schule</i>, vol. 45, no. 2, pp. 9–16, 2025."},"year":"2025","volume":45,"author":[{"last_name":"Podworny","orcid":"0000-0002-6313-5987","full_name":"Podworny, Susanne","id":"30619","first_name":"Susanne"},{"orcid":"https://orcid.org/0000-0003-0318-0329","last_name":"Fleischer","full_name":"Fleischer, Yannik","id":"42660","first_name":"Yannik"},{"first_name":"Rolf","id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler"}],"date_created":"2025-07-02T09:45:14Z","date_updated":"2025-07-02T09:45:22Z","title":"Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten","publication":"Stochastik in der Schule","type":"journal_article","status":"public","department":[{"_id":"363"}],"user_id":"37888","_id":"60495","language":[{"iso":"ger"}]},{"status":"public","publication":"Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria","type":"book_chapter","language":[{"iso":"eng"}],"_id":"60532","department":[{"_id":"363"}],"user_id":"37888","year":"2025","citation":{"apa":"Biehler, R., &#38; Schulte, C. (2025). Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines. In <i>Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria</i>.","mla":"Biehler, Rolf, and Carsten Schulte. “Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines.” <i>Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria</i>, 2025.","short":"R. Biehler, C. Schulte, in: Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria, 2025.","bibtex":"@inbook{Biehler_Schulte_2025, title={Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines.}, booktitle={Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria}, author={Biehler, Rolf and Schulte, Carsten}, year={2025} }","ama":"Biehler R, Schulte C. Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines. In: <i>Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria</i>. ; 2025.","chicago":"Biehler, Rolf, and Carsten Schulte. “Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines.” In <i>Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria</i>, 2025.","ieee":"R. Biehler and C. Schulte, “Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines.,” in <i>Proceedings of the 1st Symposium on Integrating AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria</i>, 2025."},"title":"Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools Across Disciplines.","main_file_link":[{"open_access":"1","url":"https://openreview.net/forum?id=TGsuaghKD3"}],"date_updated":"2025-07-07T07:24:35Z","oa":"1","author":[{"first_name":"Rolf","id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler"},{"first_name":"Carsten","id":"60311","full_name":"Schulte, Carsten","last_name":"Schulte"}],"date_created":"2025-07-07T07:24:30Z"},{"citation":{"chicago":"Fleischer, Franz Yannik, and Rolf Biehler. “ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM.” In <i>Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 </i>, edited by C. Cornejo, P. Felmer, D.M. Gomez, P. Dartnell, P. Araya, A. Peri, and V. Randolph, 267–74, 2025.","ieee":"F. Y. Fleischer and R. Biehler, “ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM,” in <i>Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 </i>, 2025, pp. 267–274.","ama":"Fleischer FY, Biehler R. ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM. In: Cornejo C, Felmer P, Gomez DM, et al., eds. <i>Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 </i>. ; 2025:267-274.","apa":"Fleischer, F. Y., &#38; Biehler, R. (2025). ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM. In C. Cornejo, P. Felmer, D. M. Gomez, P. Dartnell, P. Araya, A. Peri, &#38; V. Randolph (Eds.), <i>Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 </i> (pp. 267–274).","bibtex":"@inproceedings{Fleischer_Biehler_2025, title={ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM}, booktitle={Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 }, author={Fleischer, Franz Yannik and Biehler, Rolf}, editor={Cornejo, C. and Felmer, P. and Gomez, D.M. and Dartnell, P. and Araya, P. and Peri, A. and Randolph, V.}, year={2025}, pages={267–274} }","mla":"Fleischer, Franz Yannik, and Rolf Biehler. “ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM.” <i>Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 </i>, edited by C. Cornejo et al., 2025, pp. 267–74.","short":"F.Y. Fleischer, R. Biehler, in: C. Cornejo, P. Felmer, D.M. Gomez, P. Dartnell, P. Araya, A. Peri, V. Randolph (Eds.), Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 , 2025, pp. 267–274."},"page":"267-274","year":"2025","author":[{"full_name":"Fleischer, Franz Yannik","id":"42660","last_name":"Fleischer","orcid":"https://orcid.org/0000-0003-0318-0329","first_name":"Franz Yannik"},{"first_name":"Rolf","id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler"}],"date_created":"2025-08-04T07:15:39Z","date_updated":"2025-08-04T07:17:59Z","title":"ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM","type":"conference","publication":"Proceedings of the 48th Conference of the International Group for the Psychology of Mathematics Education: Research Reports, Vol. 1 ","status":"public","editor":[{"last_name":"Cornejo","full_name":"Cornejo, C.","first_name":"C."},{"last_name":"Felmer","full_name":"Felmer, P.","first_name":"P."},{"first_name":"D.M.","full_name":"Gomez, D.M.","last_name":"Gomez"},{"full_name":"Dartnell, P.","last_name":"Dartnell","first_name":"P."},{"first_name":"P.","full_name":"Araya, P.","last_name":"Araya"},{"full_name":"Peri, A.","last_name":"Peri","first_name":"A."},{"full_name":"Randolph, V.","last_name":"Randolph","first_name":"V."}],"user_id":"37888","department":[{"_id":"363"}],"_id":"60860","language":[{"iso":"eng"}]},{"volume":33,"date_created":"2025-09-04T09:23:47Z","author":[{"first_name":"Rolf","last_name":"Biehler","id":"16274","full_name":"Biehler, Rolf"},{"full_name":"Liebendörfer, Michael","last_name":"Liebendörfer","first_name":"Michael"},{"full_name":"Schmitz, Angela","last_name":"Schmitz","first_name":"Angela"},{"first_name":"Birte","last_name":"Reich","full_name":"Reich, Birte"}],"publisher":"De Gruyter","oa":"1","date_updated":"2025-09-04T09:25:03Z","main_file_link":[{"url":"https://doi.org/10.1515/dmvm-2025-0053","open_access":"1"}],"title":"studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar","issue":"3","publication_status":"published","intvolume":"        33","page":"170–171","citation":{"apa":"Biehler, R., Liebendörfer, M., Schmitz, A., &#38; Reich, B. 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Reich, Mitteilungen der Deutschen Mathematiker-Vereinigung 33 (2025) 170–171.","ama":"Biehler R, Liebendörfer M, Schmitz A, Reich B. studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar. <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i>. 2025;33(3):170–171.","chicago":"Biehler, Rolf, Michael Liebendörfer, Angela Schmitz, and Birte Reich. “studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar.” <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i> 33, no. 3 (2025): 170–171.","ieee":"R. Biehler, M. Liebendörfer, A. Schmitz, and B. Reich, “studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar,” <i>Mitteilungen der Deutschen Mathematiker-Vereinigung</i>, vol. 33, no. 3, pp. 170–171, 2025."},"year":"2025","department":[{"_id":"363"}],"user_id":"37888","_id":"61125","language":[{"iso":"ger"}],"publication":"Mitteilungen der Deutschen Mathematiker-Vereinigung","type":"journal_article","status":"public"},{"doi":"10.18716/ojs/md/2025.2297","main_file_link":[{"url":"https://journals.ub.uni-koeln.de/index.php/mathematica_didactica/article/view/2297","open_access":"1"}],"title":"Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels","volume":48,"date_created":"2026-01-12T11:23:57Z","author":[{"full_name":"Biehler, Rolf","id":"16274","last_name":"Biehler","first_name":"Rolf"},{"first_name":"Joachim","full_name":"Engel, Joachim","last_name":"Engel"},{"first_name":"Daniel","last_name":"Frischemeier","full_name":"Frischemeier, Daniel"},{"last_name":"Podworny","full_name":"Podworny, Susanne","first_name":"Susanne"}],"date_updated":"2026-01-12T11:26:40Z","oa":"1","intvolume":"        48","citation":{"bibtex":"@article{Biehler_Engel_Frischemeier_Podworny_2025, title={Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels}, volume={48}, DOI={<a href=\"https://doi.org/10.18716/ojs/md/2025.2297\">10.18716/ojs/md/2025.2297</a>}, number={2}, journal={mathematica didactica}, author={Biehler, Rolf and Engel, Joachim and Frischemeier, Daniel and Podworny, Susanne}, year={2025} }","short":"R. Biehler, J. Engel, D. Frischemeier, S. Podworny, mathematica didactica 48 (2025).","mla":"Biehler, Rolf, et al. “Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels.” <i>mathematica didactica</i>, vol. 48, no. 2, 2025, doi:<a href=\"https://doi.org/10.18716/ojs/md/2025.2297\">10.18716/ojs/md/2025.2297</a>.","apa":"Biehler, R., Engel, J., Frischemeier, D., &#38; Podworny, S. (2025). Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels. <i>mathematica didactica</i>, <i>48</i>(2). <a href=\"https://doi.org/10.18716/ojs/md/2025.2297\">https://doi.org/10.18716/ojs/md/2025.2297</a>","chicago":"Biehler, Rolf, Joachim Engel, Daniel Frischemeier, and Susanne Podworny. “Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels.” <i>mathematica didactica</i> 48, no. 2 (2025). <a href=\"https://doi.org/10.18716/ojs/md/2025.2297\">https://doi.org/10.18716/ojs/md/2025.2297</a>.","ieee":"R. Biehler, J. Engel, D. Frischemeier, and S. Podworny, “Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels,” <i>mathematica didactica</i>, vol. 48, no. 2, 2025, doi: <a href=\"https://doi.org/10.18716/ojs/md/2025.2297\">10.18716/ojs/md/2025.2297</a>.","ama":"Biehler R, Engel J, Frischemeier D, Podworny S. Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels. <i>mathematica didactica</i>. 2025;48(2). doi:<a href=\"https://doi.org/10.18716/ojs/md/2025.2297\">10.18716/ojs/md/2025.2297</a>"},"year":"2025","issue":"2","language":[{"iso":"ger"}],"department":[{"_id":"363"}],"user_id":"37888","_id":"63556","status":"public","publication":"mathematica didactica","type":"journal_article"},{"language":[{"iso":"eng"}],"_id":"54144","department":[{"_id":"363"}],"user_id":"37888","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>In this paper, we propose a novel conceptual framework tailored for modeling the meaning of mathematical concepts in university-level mathematics, addressing their rigorous nature and their relationships with related concepts as well as interpretations in various contexts. Within this framework, we present a model of meaning for the concepts of total differentiability and total derivative that provides a variety of possible interpretations and aspects. We then use the proposed model of meaning as a tool for analyzing three different textbooks for mathematics majors on the topic of multidimensional differentiability. Our paper is an example of a subject matter analysis of a topic in university mathematics carried out in a structured way. The model of meaning for total differentiability presented in this paper could inspire course design and analysis including the design of assignments and assessments for students. Moreover, it could serve as a valuable research tool for further analyses. For example, it could be used as a framework for analyzing courses taught or as a basis for developing a test instrument to assess students’ understanding. With our textbook analysis, we begin to examine the landscape of textbooks regarding differentiability concepts in the multidimensional case, shedding light on the diversity of meaning facets that are covered in the textbooks. These results could be useful for guiding instructors and learners in selecting and using textbooks for teaching and learning based on their respective needs.</jats:p>"}],"status":"public","publication":"ZDM – Mathematics Education","type":"journal_article","title":"The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning","doi":"10.1007/s11858-024-01584-w","date_updated":"2024-05-10T07:49:19Z","publisher":"Springer Science and Business Media LLC","date_created":"2024-05-10T07:48:10Z","author":[{"first_name":"Elisa","last_name":"Lankeit","full_name":"Lankeit, Elisa"},{"first_name":"Rolf","id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler"}],"year":"2024","citation":{"apa":"Lankeit, E., &#38; Biehler, R. (2024). The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning. <i>ZDM – Mathematics Education</i>. <a href=\"https://doi.org/10.1007/s11858-024-01584-w\">https://doi.org/10.1007/s11858-024-01584-w</a>","short":"E. Lankeit, R. Biehler, ZDM – Mathematics Education (2024).","bibtex":"@article{Lankeit_Biehler_2024, title={The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning}, DOI={<a href=\"https://doi.org/10.1007/s11858-024-01584-w\">10.1007/s11858-024-01584-w</a>}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Lankeit, Elisa and Biehler, Rolf}, year={2024} }","mla":"Lankeit, Elisa, and Rolf Biehler. “The Meaning Landscape of the Concept of the Total Derivative in Multivariable Real Analysis Textbooks: An Analysis Based on a New Model of Meaning.” <i>ZDM – Mathematics Education</i>, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s11858-024-01584-w\">10.1007/s11858-024-01584-w</a>.","chicago":"Lankeit, Elisa, and Rolf Biehler. “The Meaning Landscape of the Concept of the Total Derivative in Multivariable Real Analysis Textbooks: An Analysis Based on a New Model of Meaning.” <i>ZDM – Mathematics Education</i>, 2024. <a href=\"https://doi.org/10.1007/s11858-024-01584-w\">https://doi.org/10.1007/s11858-024-01584-w</a>.","ieee":"E. Lankeit and R. Biehler, “The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning,” <i>ZDM – Mathematics Education</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s11858-024-01584-w\">10.1007/s11858-024-01584-w</a>.","ama":"Lankeit E, Biehler R. The meaning landscape of the concept of the total derivative in multivariable real analysis textbooks: an analysis based on a new model of meaning. <i>ZDM – Mathematics Education</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s11858-024-01584-w\">10.1007/s11858-024-01584-w</a>"},"publication_identifier":{"issn":["1863-9690","1863-9704"]},"publication_status":"published"},{"publication":"Statistics Education Research Journal","abstract":[{"lang":"eng","text":"<jats:p>This study investigates how 11- to 12-year-old students construct data-based decision trees using data cards for classification purposes. We examine the students' heuristics and reasoning during this process. The research is based on an eight-week teaching unit during which students labeled data, built decision trees, and assessed them using test data. They learned to manually construct decision trees to classify food items as recommendable or not. They utilized data cards with a heuristic that is a simplified form of a machine learning algorithm. We report on evidence that this topic is teachable to middle school students, along with insights for refining our teaching approach and broader implications for teaching machine learning at the school level.</jats:p>"}],"language":[{"iso":"eng"}],"issue":"1","year":"2024","publisher":"International Association for Statistical Education","date_created":"2024-08-21T09:59:33Z","title":"Teaching and Learning to Construct Data-Based Decision Trees Using Data Cards as the First Introduction to Machine Learning in Middle School","type":"journal_article","status":"public","_id":"55667","department":[{"_id":"363"}],"user_id":"37888","article_number":"3","publication_identifier":{"issn":["1570-1824"]},"publication_status":"published","intvolume":"        23","citation":{"short":"F.Y. Fleischer, S. Podworny, R. Biehler, Statistics Education Research Journal 23 (2024).","mla":"Fleischer, Franz Yannik, et al. “Teaching and Learning to Construct Data-Based Decision Trees Using Data Cards as the First Introduction to Machine Learning in Middle School.” <i>Statistics Education Research Journal</i>, vol. 23, no. 1, 3, International Association for Statistical Education, 2024, doi:<a href=\"https://doi.org/10.52041/serj.v23i1.450\">10.52041/serj.v23i1.450</a>.","bibtex":"@article{Fleischer_Podworny_Biehler_2024, title={Teaching and Learning to Construct Data-Based Decision Trees Using Data Cards as the First Introduction to Machine Learning in Middle School}, volume={23}, DOI={<a href=\"https://doi.org/10.52041/serj.v23i1.450\">10.52041/serj.v23i1.450</a>}, number={13}, journal={Statistics Education Research Journal}, publisher={International Association for Statistical Education}, author={Fleischer, Franz Yannik and Podworny, Susanne and Biehler, Rolf}, year={2024} }","apa":"Fleischer, F. Y., Podworny, S., &#38; Biehler, R. (2024). Teaching and Learning to Construct Data-Based Decision Trees Using Data Cards as the First Introduction to Machine Learning in Middle School. <i>Statistics Education Research Journal</i>, <i>23</i>(1), Article 3. <a href=\"https://doi.org/10.52041/serj.v23i1.450\">https://doi.org/10.52041/serj.v23i1.450</a>","ama":"Fleischer FY, Podworny S, Biehler R. Teaching and Learning to Construct Data-Based Decision Trees Using Data Cards as the First Introduction to Machine Learning in Middle School. <i>Statistics Education Research Journal</i>. 2024;23(1). doi:<a href=\"https://doi.org/10.52041/serj.v23i1.450\">10.52041/serj.v23i1.450</a>","ieee":"F. Y. Fleischer, S. Podworny, and R. Biehler, “Teaching and Learning to Construct Data-Based Decision Trees Using Data Cards as the First Introduction to Machine Learning in Middle School,” <i>Statistics Education Research Journal</i>, vol. 23, no. 1, Art. no. 3, 2024, doi: <a href=\"https://doi.org/10.52041/serj.v23i1.450\">10.52041/serj.v23i1.450</a>.","chicago":"Fleischer, Franz Yannik, Susanne Podworny, and Rolf Biehler. “Teaching and Learning to Construct Data-Based Decision Trees Using Data Cards as the First Introduction to Machine Learning in Middle School.” <i>Statistics Education Research Journal</i> 23, no. 1 (2024). <a href=\"https://doi.org/10.52041/serj.v23i1.450\">https://doi.org/10.52041/serj.v23i1.450</a>."},"oa":"1","date_updated":"2024-08-21T10:02:38Z","volume":23,"author":[{"first_name":"Franz Yannik","full_name":"Fleischer, Franz Yannik","id":"42660","orcid":"https://orcid.org/0000-0003-0318-0329","last_name":"Fleischer"},{"first_name":"Susanne","full_name":"Podworny, Susanne","id":"30619","orcid":"0000-0002-6313-5987","last_name":"Podworny"},{"full_name":"Biehler, Rolf","id":"16274","last_name":"Biehler","first_name":"Rolf"}],"doi":"10.52041/serj.v23i1.450","main_file_link":[{"url":"https://doi.org/10.52041/serj.v23i1.450","open_access":"1"}]},{"publication_identifier":{"isbn":["9783658439637","9783658439644"]},"publication_status":"published","place":"Wiesbaden","year":"2024","citation":{"mla":"Biehler, Rolf, and Daniel Frischemeier. “Eine inklusive Lehr-Lernumgebung für die Leitidee „Daten und Zufall“ in der Primarstufe.” <i>Inklusives Lehren und Lernen von Mathematik</i>, Springer Fachmedien Wiesbaden, 2024, doi:<a href=\"https://doi.org/10.1007/978-3-658-43964-4_13\">10.1007/978-3-658-43964-4_13</a>.","bibtex":"@inbook{Biehler_Frischemeier_2024, place={Wiesbaden}, title={Eine inklusive Lehr-Lernumgebung für die Leitidee „Daten und Zufall“ in der Primarstufe}, DOI={<a href=\"https://doi.org/10.1007/978-3-658-43964-4_13\">10.1007/978-3-658-43964-4_13</a>}, booktitle={Inklusives Lehren und Lernen von Mathematik}, publisher={Springer Fachmedien Wiesbaden}, author={Biehler, Rolf and Frischemeier, Daniel}, year={2024} }","short":"R. Biehler, D. Frischemeier, in: Inklusives Lehren und Lernen von Mathematik, Springer Fachmedien Wiesbaden, Wiesbaden, 2024.","apa":"Biehler, R., &#38; Frischemeier, D. (2024). Eine inklusive Lehr-Lernumgebung für die Leitidee „Daten und Zufall“ in der Primarstufe. In <i>Inklusives Lehren und Lernen von Mathematik</i>. Springer Fachmedien Wiesbaden. <a href=\"https://doi.org/10.1007/978-3-658-43964-4_13\">https://doi.org/10.1007/978-3-658-43964-4_13</a>","ama":"Biehler R, Frischemeier D. Eine inklusive Lehr-Lernumgebung für die Leitidee „Daten und Zufall“ in der Primarstufe. In: <i>Inklusives Lehren und Lernen von Mathematik</i>. Springer Fachmedien Wiesbaden; 2024. doi:<a href=\"https://doi.org/10.1007/978-3-658-43964-4_13\">10.1007/978-3-658-43964-4_13</a>","chicago":"Biehler, Rolf, and Daniel Frischemeier. “Eine inklusive Lehr-Lernumgebung für die Leitidee „Daten und Zufall“ in der Primarstufe.” In <i>Inklusives Lehren und Lernen von Mathematik</i>. Wiesbaden: Springer Fachmedien Wiesbaden, 2024. <a href=\"https://doi.org/10.1007/978-3-658-43964-4_13\">https://doi.org/10.1007/978-3-658-43964-4_13</a>.","ieee":"R. Biehler and D. Frischemeier, “Eine inklusive Lehr-Lernumgebung für die Leitidee „Daten und Zufall“ in der Primarstufe,” in <i>Inklusives Lehren und Lernen von Mathematik</i>, Wiesbaden: Springer Fachmedien Wiesbaden, 2024."},"publisher":"Springer Fachmedien Wiesbaden","date_updated":"2024-08-26T09:33:50Z","oa":"1","date_created":"2024-08-26T09:18:57Z","author":[{"last_name":"Biehler","full_name":"Biehler, Rolf","id":"16274","first_name":"Rolf"},{"first_name":"Daniel","last_name":"Frischemeier","full_name":"Frischemeier, Daniel"}],"title":"Eine inklusive Lehr-Lernumgebung für die Leitidee „Daten und Zufall“ in der Primarstufe","doi":"10.1007/978-3-658-43964-4_13","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/978-3-658-43964-4_13"}],"publication":"Inklusives Lehren und Lernen von Mathematik","type":"book_chapter","status":"public","_id":"55756","department":[{"_id":"363"}],"user_id":"37888","language":[{"iso":"ger"}]},{"title":"Daten-Spürnasen auf Spurensuche: Datenanalyse in der Grundschule mit digitalen Werkzeugen","date_created":"2024-08-26T09:38:05Z","author":[{"last_name":"Biehler","id":"16274","full_name":"Biehler, Rolf","first_name":"Rolf"},{"first_name":"Daniel","last_name":"Frischemeier","full_name":"Frischemeier, Daniel"}],"publisher":"Klett Kallmeyer","date_updated":"2024-08-26T09:38:17Z","citation":{"short":"R. Biehler, D. Frischemeier, Daten-Spürnasen Auf Spurensuche: Datenanalyse in Der Grundschule Mit Digitalen Werkzeugen, Klett Kallmeyer, 2024.","bibtex":"@book{Biehler_Frischemeier_2024, title={Daten-Spürnasen auf Spurensuche: Datenanalyse in der Grundschule mit digitalen Werkzeugen}, publisher={Klett Kallmeyer}, author={Biehler, Rolf and Frischemeier, Daniel}, year={2024} }","mla":"Biehler, Rolf, and Daniel Frischemeier. <i>Daten-Spürnasen Auf Spurensuche: Datenanalyse in Der Grundschule Mit Digitalen Werkzeugen</i>. Klett Kallmeyer, 2024.","apa":"Biehler, R., &#38; Frischemeier, D. (2024). <i>Daten-Spürnasen auf Spurensuche: Datenanalyse in der Grundschule mit digitalen Werkzeugen</i>. Klett Kallmeyer.","ieee":"R. Biehler and D. Frischemeier, <i>Daten-Spürnasen auf Spurensuche: Datenanalyse in der Grundschule mit digitalen Werkzeugen</i>. Klett Kallmeyer, 2024.","chicago":"Biehler, Rolf, and Daniel Frischemeier. <i>Daten-Spürnasen Auf Spurensuche: Datenanalyse in Der Grundschule Mit Digitalen Werkzeugen</i>. Klett Kallmeyer, 2024.","ama":"Biehler R, Frischemeier D. <i>Daten-Spürnasen Auf Spurensuche: Datenanalyse in Der Grundschule Mit Digitalen Werkzeugen</i>. Klett Kallmeyer; 2024."},"year":"2024","language":[{"iso":"eng"}],"department":[{"_id":"363"}],"user_id":"37888","_id":"55758","status":"public","type":"book"},{"citation":{"ama":"Hoffmann M, Biehler R. Using academic mathematical knowledge when working on interface tasks–analyses of pre-service teachers’ arguments about rotationally symmetric figures. <i>ZDM – Mathematics Education</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s11858-024-01633-4\">10.1007/s11858-024-01633-4</a>","ieee":"M. Hoffmann and R. Biehler, “Using academic mathematical knowledge when working on interface tasks–analyses of pre-service teachers’ arguments about rotationally symmetric figures,” <i>ZDM – Mathematics Education</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s11858-024-01633-4\">10.1007/s11858-024-01633-4</a>.","chicago":"Hoffmann, Max, and Rolf Biehler. “Using Academic Mathematical Knowledge When Working on Interface Tasks–Analyses of Pre-Service Teachers’ Arguments about Rotationally Symmetric Figures.” <i>ZDM – Mathematics Education</i>, 2024. <a href=\"https://doi.org/10.1007/s11858-024-01633-4\">https://doi.org/10.1007/s11858-024-01633-4</a>.","apa":"Hoffmann, M., &#38; Biehler, R. (2024). Using academic mathematical knowledge when working on interface tasks–analyses of pre-service teachers’ arguments about rotationally symmetric figures. <i>ZDM – Mathematics Education</i>. <a href=\"https://doi.org/10.1007/s11858-024-01633-4\">https://doi.org/10.1007/s11858-024-01633-4</a>","bibtex":"@article{Hoffmann_Biehler_2024, title={Using academic mathematical knowledge when working on interface tasks–analyses of pre-service teachers’ arguments about rotationally symmetric figures}, DOI={<a href=\"https://doi.org/10.1007/s11858-024-01633-4\">10.1007/s11858-024-01633-4</a>}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Hoffmann, Max and Biehler, Rolf}, year={2024} }","mla":"Hoffmann, Max, and Rolf Biehler. “Using Academic Mathematical Knowledge When Working on Interface Tasks–Analyses of Pre-Service Teachers’ Arguments about Rotationally Symmetric Figures.” <i>ZDM – Mathematics Education</i>, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s11858-024-01633-4\">10.1007/s11858-024-01633-4</a>.","short":"M. Hoffmann, R. Biehler, ZDM – Mathematics Education (2024)."},"year":"2024","quality_controlled":"1","publication_identifier":{"issn":["1863-9690","1863-9704"]},"publication_status":"published","doi":"10.1007/s11858-024-01633-4","main_file_link":[{"url":"https://link.springer.com/content/pdf/10.1007/s11858-024-01633-4.pdf","open_access":"1"}],"title":"Using academic mathematical knowledge when working on interface tasks–analyses of pre-service teachers’ arguments about rotationally symmetric figures","date_created":"2024-09-04T09:32:26Z","author":[{"id":"32202","full_name":"Hoffmann, Max","last_name":"Hoffmann","orcid":"0000-0002-6964-7123","first_name":"Max"},{"id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"}],"date_updated":"2024-09-04T09:33:45Z","publisher":"Springer Science and Business Media LLC","oa":"1","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Special tasks for pre-service teachers (PSTs) in university mathematics courses (“interface tasks”) are a common innovation in recent years to overcome the second discontinuity. By this, we mean tasks that are situated by typical everyday challenges of mathematics teaching and in which PSTs must use their mathematical knowledge and skills in a professionally relevant way. In this paper, we analyze answers that PSTs have created to an interface task on symmetry. The PSTs were asked to clarify a student’s question from a mathematical perspective and then give a suitable elementarized answer. We situate these two steps theoretically and reconstruct the mathematical reasoning in PSTs' answers. Through qualitative content analysis, we examined how PSTs justify figures' symmetries from a university mathematics perspective and when responding to the fictitious student. The scenario of a student questioning the existence of 100° rotationally symmetrical figures elicited rich and varied responses, proving suitable for an interface task. We compared PSTs' reasoning related to mathematical clarification with the reasoning related to elementarization. In many cases, this revealed a productive use of course content. An interesting result is that there is no uniform picture as to whether the arguments are more detailed in the mathematical clarification or in the elementarization.</jats:p>","lang":"eng"}],"publication":"ZDM – Mathematics Education","type":"journal_article","language":[{"iso":"eng"}],"article_type":"original","department":[{"_id":"97"},{"_id":"643"}],"user_id":"32202","_id":"56016"},{"status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Special tasks for pre-service teachers (PSTs) in university mathematics courses (“interface tasks”) are a common innovation in recent years to overcome the second discontinuity. By this, we mean tasks that are situated by typical everyday challenges of mathematics teaching and in which PSTs must use their mathematical knowledge and skills in a professionally relevant way. In this paper, we analyze answers that PSTs have created to an interface task on symmetry. The PSTs were asked to clarify a student’s question from a mathematical perspective and then give a suitable elementarized answer. We situate these two steps theoretically and reconstruct the mathematical reasoning in PSTs' answers. Through qualitative content analysis, we examined how PSTs justify figures' symmetries from a university mathematics perspective and when responding to the fictitious student. The scenario of a student questioning the existence of 100° rotationally symmetrical figures elicited rich and varied responses, proving suitable for an interface task. We compared PSTs' reasoning related to mathematical clarification with the reasoning related to elementarization. In many cases, this revealed a productive use of course content. An interesting result is that there is no uniform picture as to whether the arguments are more detailed in the mathematical clarification or in the elementarization.</jats:p>"}],"type":"journal_article","publication":"ZDM – Mathematics Education","language":[{"iso":"eng"}],"user_id":"37888","department":[{"_id":"363"}],"_id":"56197","citation":{"bibtex":"@article{Hoffmann_Biehler_2024, title={Using academic mathematical knowledge when working on interface tasks–analyses of pre-service teachers’ arguments about rotationally symmetric figures}, DOI={<a href=\"https://doi.org/10.1007/s11858-024-01633-4\">10.1007/s11858-024-01633-4</a>}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Hoffmann, Max and Biehler, Rolf}, year={2024} }","short":"M. Hoffmann, R. Biehler, ZDM – Mathematics Education (2024).","mla":"Hoffmann, Max, and Rolf Biehler. “Using Academic Mathematical Knowledge When Working on Interface Tasks–Analyses of Pre-Service Teachers’ Arguments about Rotationally Symmetric Figures.” <i>ZDM – Mathematics Education</i>, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s11858-024-01633-4\">10.1007/s11858-024-01633-4</a>.","apa":"Hoffmann, M., &#38; Biehler, R. (2024). Using academic mathematical knowledge when working on interface tasks–analyses of pre-service teachers’ arguments about rotationally symmetric figures. <i>ZDM – Mathematics Education</i>. <a href=\"https://doi.org/10.1007/s11858-024-01633-4\">https://doi.org/10.1007/s11858-024-01633-4</a>","chicago":"Hoffmann, Max, and Rolf Biehler. “Using Academic Mathematical Knowledge When Working on Interface Tasks–Analyses of Pre-Service Teachers’ Arguments about Rotationally Symmetric Figures.” <i>ZDM – Mathematics Education</i>, 2024. <a href=\"https://doi.org/10.1007/s11858-024-01633-4\">https://doi.org/10.1007/s11858-024-01633-4</a>.","ieee":"M. Hoffmann and R. Biehler, “Using academic mathematical knowledge when working on interface tasks–analyses of pre-service teachers’ arguments about rotationally symmetric figures,” <i>ZDM – Mathematics Education</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s11858-024-01633-4\">10.1007/s11858-024-01633-4</a>.","ama":"Hoffmann M, Biehler R. Using academic mathematical knowledge when working on interface tasks–analyses of pre-service teachers’ arguments about rotationally symmetric figures. <i>ZDM – Mathematics Education</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s11858-024-01633-4\">10.1007/s11858-024-01633-4</a>"},"year":"2024","publication_status":"published","publication_identifier":{"issn":["1863-9690","1863-9704"]},"main_file_link":[{"url":"https://doi.org/10.1007/s11858-024-01633-4"}],"doi":"10.1007/s11858-024-01633-4","title":"Using academic mathematical knowledge when working on interface tasks–analyses of pre-service teachers’ arguments about rotationally symmetric figures","date_created":"2024-09-23T07:36:35Z","author":[{"first_name":"Max","last_name":"Hoffmann","orcid":"0000-0002-6964-7123","full_name":"Hoffmann, Max","id":"32202"},{"last_name":"Biehler","id":"16274","full_name":"Biehler, Rolf","first_name":"Rolf"}],"date_updated":"2024-09-23T07:44:49Z","publisher":"Springer Science and Business Media LLC"},{"editor":[{"last_name":"Liebendörfer","orcid":"0000-0001-9887-2074","id":"30933","full_name":"Liebendörfer, Michael","first_name":"Michael"},{"last_name":"Schmitz","full_name":"Schmitz, Angelika","first_name":"Angelika"},{"first_name":"Rolf","full_name":"Biehler, Rolf","id":"16274","last_name":"Biehler"}],"year":"2024","status":"public","citation":{"mla":"Liebendörfer, Michael, et al., editors. <i>Lernvideos in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität Paderborn und der TH Köln</i>. 2024.","short":"M. Liebendörfer, A. Schmitz, R. Biehler, eds., Lernvideos in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität Paderborn und der TH Köln, 2024.","bibtex":"@book{Liebendörfer_Schmitz_Biehler_2024, title={Lernvideos in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität Paderborn und der TH Köln}, year={2024} }","apa":"Liebendörfer, M., Schmitz, A., &#38; Biehler, R. (Eds.). (2024). <i>Lernvideos in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität Paderborn und der TH Köln</i>.","chicago":"Liebendörfer, Michael, Angelika Schmitz, and Rolf Biehler, eds. <i>Lernvideos in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität Paderborn und der TH Köln</i>, 2024.","ieee":"M. Liebendörfer, A. Schmitz, and R. Biehler, Eds., <i>Lernvideos in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität Paderborn und der TH Köln</i>. 2024.","ama":"Liebendörfer M, Schmitz A, Biehler R, eds. <i>Lernvideos in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität Paderborn und der TH Köln</i>.; 2024."},"publication_status":"published","type":"book_editor","title":"Lernvideos in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität Paderborn und der TH Köln","language":[{"iso":"ger"}],"main_file_link":[{"url":"https://kobra.uni-kassel.de/handle/123456789/15993"}],"_id":"56199","date_updated":"2024-09-25T08:26:10Z","department":[{"_id":"363"}],"date_created":"2024-09-23T07:42:26Z","user_id":"37888"},{"publication_status":"published","publication_identifier":{"issn":["1863-9690","1863-9704"]},"citation":{"chicago":"Biehler, Rolf, Viviane Durand-Guerrier, and María Trigueros. “New Trends in Didactic Research in University Mathematics Education.” <i>ZDM – Mathematics Education</i>, 2024. <a href=\"https://doi.org/10.1007/s11858-024-01643-2\">https://doi.org/10.1007/s11858-024-01643-2</a>.","ieee":"R. Biehler, V. Durand-Guerrier, and M. Trigueros, “New trends in didactic research in university mathematics education,” <i>ZDM – Mathematics Education</i>, 2024, doi: <a href=\"https://doi.org/10.1007/s11858-024-01643-2\">10.1007/s11858-024-01643-2</a>.","ama":"Biehler R, Durand-Guerrier V, Trigueros M. New trends in didactic research in university mathematics education. <i>ZDM – Mathematics Education</i>. Published online 2024. doi:<a href=\"https://doi.org/10.1007/s11858-024-01643-2\">10.1007/s11858-024-01643-2</a>","short":"R. Biehler, V. Durand-Guerrier, M. Trigueros, ZDM – Mathematics Education (2024).","mla":"Biehler, Rolf, et al. “New Trends in Didactic Research in University Mathematics Education.” <i>ZDM – Mathematics Education</i>, Springer Science and Business Media LLC, 2024, doi:<a href=\"https://doi.org/10.1007/s11858-024-01643-2\">10.1007/s11858-024-01643-2</a>.","bibtex":"@article{Biehler_Durand-Guerrier_Trigueros_2024, title={New trends in didactic research in university mathematics education}, DOI={<a href=\"https://doi.org/10.1007/s11858-024-01643-2\">10.1007/s11858-024-01643-2</a>}, journal={ZDM – Mathematics Education}, publisher={Springer Science and Business Media LLC}, author={Biehler, Rolf and Durand-Guerrier, Viviane and Trigueros, María}, year={2024} }","apa":"Biehler, R., Durand-Guerrier, V., &#38; Trigueros, M. (2024). New trends in didactic research in university mathematics education. <i>ZDM – Mathematics Education</i>. <a href=\"https://doi.org/10.1007/s11858-024-01643-2\">https://doi.org/10.1007/s11858-024-01643-2</a>"},"year":"2024","author":[{"id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"},{"last_name":"Durand-Guerrier","full_name":"Durand-Guerrier, Viviane","first_name":"Viviane"},{"first_name":"María","last_name":"Trigueros","full_name":"Trigueros, María"}],"date_created":"2024-10-29T09:22:06Z","date_updated":"2024-10-29T10:56:14Z","publisher":"Springer Science and Business Media LLC","main_file_link":[{"url":"https://link.springer.com/article/10.1007/s11858-024-01643-2"}],"doi":"10.1007/s11858-024-01643-2","title":"New trends in didactic research in university mathematics education","type":"journal_article","publication":"ZDM – Mathematics Education","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Recent research in university mathematics education has moved beyond the traditional focus on the transition from secondary to tertiary education and students' understanding of introductory courses such as pre-calculus and calculus. There is growing interest in the challenges students face as they move into more advanced mathematics courses that require a shift toward formal reasoning, proof, modeling, and problem-solving skills. This survey paper explores emerging trends and innovations in the field, focusing on three key areas: innovations in teaching and learning advanced mathematical topics, transitions between different levels and contexts of mathematics education, and the role of proof and proving in advanced university mathematics. The survey reflects the evolving landscape of mathematics education research and addresses the theoretical and practical challenges of teaching and learning advanced mathematics across various contexts.</jats:p>","lang":"eng"}],"user_id":"37888","department":[{"_id":"363"}],"_id":"56780","language":[{"iso":"eng"}]},{"ddc":["510"],"language":[{"iso":"eng"}],"file":[{"relation":"main_file","success":1,"content_type":"application/pdf","file_name":"ICLS2024_1863-1870.pdf","access_level":"closed","file_id":"59470","file_size":343448,"creator":"krueter","date_created":"2025-04-10T07:44:19Z","date_updated":"2025-04-10T07:44:19Z"}],"publication":"Proceedings of the 18th International Conference of the Learning Sciences-ICLS 2024","title":"Data and Social Worlds: How Data Science Education Supports Civic Participation and Social Discourse","publisher":"International Society of the Learning Sciences","date_created":"2025-04-10T07:38:59Z","year":"2024","file_date_updated":"2025-04-10T07:44:19Z","_id":"59467","department":[{"_id":"363"}],"user_id":"37888","editor":[{"first_name":"R.","last_name":"Lindgren","full_name":"Lindgren, R."},{"first_name":"T. I.","full_name":"Asino, T. I.","last_name":"Asino"},{"first_name":"E. A.","full_name":"Kyza, E. A.","last_name":"Kyza"},{"full_name":"Looi, C. K.","last_name":"Looi","first_name":"C. K."},{"first_name":"D. T.","last_name":"Keifert","full_name":"Keifert, D. 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WTM-Verlag. <a href=\"https://doi.org/10.37626/GA9783959872782.0\">https://doi.org/10.37626/GA9783959872782.0</a>","ama":"Mai T, Biehler R. Transitionen zwischen Vektorobjekten in Schulbüchern. 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; 2024:1103-1106. doi:<a href=\"https://doi.org/10.37626/GA9783959872782.0\">10.37626/GA9783959872782.0</a>","chicago":"Mai, Tobias, and Rolf Biehler. “Transitionen zwischen Vektorobjekten in Schulbüchern.” 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, 1103–6. Münster: WTM-Verlag, 2024. <a href=\"https://doi.org/10.37626/GA9783959872782.0\">https://doi.org/10.37626/GA9783959872782.0</a>.","ieee":"T. Mai and R. Biehler, “Transitionen zwischen Vektorobjekten in Schulbüchern,” 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. 1103–1106."},"page":"1103-1106","date_updated":"2025-01-06T11:16:00Z","author":[{"last_name":"Mai","full_name":"Mai, Tobias","first_name":"Tobias"},{"id":"16274","full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"}],"main_file_link":[{"url":"https://doi.org/10.37626/GA9783959872782.0"}],"doi":"10.37626/GA9783959872782.0","type":"book_chapter","editor":[{"full_name":"Ebers, P.","last_name":"Ebers","first_name":"P."},{"first_name":"F.","last_name":"Rösken","full_name":"Rösken, F."},{"first_name":"B.","last_name":"Barzel","full_name":"Barzel, B."},{"first_name":"A.","last_name":"Büchter","full_name":"Büchter, A."},{"last_name":"Schacht","full_name":"Schacht, F.","first_name":"F."},{"last_name":"Scherer","full_name":"Scherer, P.","first_name":"P."}],"status":"public","_id":"57948","user_id":"37888","department":[{"_id":"363"}],"file_date_updated":"2025-01-06T11:10:08Z"},{"language":[{"iso":"eng"}],"_id":"57947","department":[{"_id":"363"}],"user_id":"37888","editor":[{"first_name":"A. S.","last_name":"Gonzalez-Martin","full_name":"Gonzalez-Martin, A. S."},{"first_name":"G.","full_name":"Gueudet, G.","last_name":"Gueudet"},{"full_name":"Florensa, I.","last_name":"Florensa","first_name":"I."},{"first_name":"N.","last_name":"Lombard","full_name":"Lombard, N."}],"status":"public","publication":"INDRUM2024 PROCEEDINGS - Fifth conference of the International Network for Didactic Research in University Mathematics","type":"book_chapter","title":"Designing a Concept Inventory for Real Analysis","main_file_link":[{"url":"https://research.utwente.nl/files/443812185/PreProceedings_INDRUM2024_comprimido.pdf#page=11"}],"publisher":"Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM","date_updated":"2025-01-06T11:00:23Z","author":[{"first_name":"Thomas","full_name":"Bauer, Thomas","last_name":"Bauer"},{"first_name":"Rolf","last_name":"Biehler","full_name":"Biehler, Rolf","id":"16274"},{"full_name":"Lankeit, Elisa","last_name":"Lankeit","first_name":"Elisa"}],"date_created":"2025-01-06T10:56:52Z","year":"2024","page":"65-74","citation":{"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. Autonoma de Barcelona) and INDRUM; 2024:65-74.","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.","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.","mla":"Bauer, Thomas, et al. “Designing a Concept Inventory for Real Analysis.” <i>INDRUM2024 PROCEEDINGS - Fifth Conference of the International Network for Didactic Research in University Mathematics</i>, edited by A. S. Gonzalez-Martin et al., Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM, 2024, pp. 65–74.","short":"T. Bauer, R. Biehler, E. Lankeit, in: A.S. Gonzalez-Martin, G. 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.","bibtex":"@inbook{Bauer_Biehler_Lankeit_2024, title={Designing a Concept Inventory for Real Analysis}, booktitle={INDRUM2024 PROCEEDINGS - Fifth conference of the International Network for Didactic Research in University Mathematics}, publisher={Escola Univeristaria Salesiana de Sarria (Univ. Autonoma de Barcelona) and INDRUM}, author={Bauer, Thomas and Biehler, Rolf and Lankeit, Elisa}, editor={Gonzalez-Martin, A. S. and Gueudet, G. and Florensa, I. and Lombard, N.}, year={2024}, pages={65–74} }","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."}},{"year":"2023","quality_controlled":"1","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","date_created":"2023-06-27T11:45:25Z","publisher":"Springer","file":[{"relation":"main_file","success":1,"content_type":"application/pdf","file_name":"s11858-023-01505-3.pdf","file_id":"46041","access_level":"closed","file_size":1460246,"creator":"maxh","date_created":"2023-07-13T09:40:02Z","date_updated":"2023-07-13T09:40:02Z"}],"abstract":[{"lang":"eng","text":"Intending to counteract Klein’s second discontinuity in teacher education, we explored and applied the innovation of “interface ePortfolio” in the context of a geometry course for preservice teachers (PSTs). 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."}],"publication":"ZDM – Mathematics Education","language":[{"iso":"eng"}],"ddc":["510","370"],"keyword":["General Mathematics","Education"],"citation":{"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>.","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>, 2023, 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>. Published online 2023. doi:<a href=\"https://doi.org/10.1007/s11858-023-01505-3\">10.1007/s11858-023-01505-3</a>","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>. <a href=\"https://doi.org/10.1007/s11858-023-01505-3\">https://doi.org/10.1007/s11858-023-01505-3</a>","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>.","short":"M. Hoffmann, R. Biehler, ZDM – Mathematics Education (2023).","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} }"},"publication_status":"published","has_accepted_license":"1","publication_identifier":{"issn":["1863-9690","1863-9704"]},"main_file_link":[{"url":"https://link.springer.com/article/10.1007/s11858-023-01505-3","open_access":"1"}],"doi":"10.1007/s11858-023-01505-3","author":[{"full_name":"Hoffmann, Max","id":"32202","orcid":"0000-0002-6964-7123","last_name":"Hoffmann","first_name":"Max"},{"full_name":"Biehler, Rolf","id":"16274","last_name":"Biehler","first_name":"Rolf"}],"oa":"1","date_updated":"2024-04-18T09:01:29Z","status":"public","type":"journal_article","file_date_updated":"2023-07-13T09:40:02Z","article_type":"original","user_id":"37888","department":[{"_id":"643"}],"_id":"45786"}]