@inproceedings{65246,
  author       = {{Hoffmann, Max}},
  booktitle    = {{Proceedings of the Fourteenth Congress of the European Society for Research in Mathematics Education (CERME14)}},
  editor       = {{Bosch, Marianna and Bolondi, Giorgio and Carreira, Susana and Gaidoschik, Michael and Spagnolo, Camilla}},
  pages        = {{2245--2252}},
  publisher    = {{Free University of Bozen-Bolzano and ERME}},
  title        = {{{Using scriptwriting as a response format for interface tasks: Exemplary analyses in the context of symmetry}}},
  year         = {{2025}},
}

@article{52584,
  author       = {{Rezat, Sebastian}},
  journal      = {{ZDM – Mathematics Education}},
  publisher    = {{Springer}},
  title        = {{{Research on curriculum resources in mathematics education: a survey of the field}}},
  doi          = {{10.1007/s11858-024-01559-x}},
  year         = {{2024}},
}

@article{51841,
  abstract     = {{athematische Kompetenzen digital zu fördern und digitale Kompetenzen mathematisch zu fördern – dies ist eine Forderung der neuen Bildungsstandards mit Blick auf eine Bildung in der digitalen Welt. Gerade das Potenzial digitaler Medien für das fachliche Lernen wurde in vielen Studien bestätigt. Eine sinnvoll gestaltete Einbettung digitaler Medien bietet die Chance, allen fünf Prinzipien eines guten Unterrichts gerecht zu werden: Verstehensorientierung, Durchgängigkeit, kognitive Aktivierung, Lernendenorientierung & Adaptivität und Kommunikationsförderung. Die flächendeckende Nutzung digitaler Medien etabliert sich bislang nur zögerlich. Aber wie können wir Lehrkräfte stärken, digitale Medien sinnvoll einzusetzen? Wir möchten hier die Bandbreite der Möglichkeiten an Beispielen verdeutlichen, ihren Einsatz motivieren und Wege für einen guten Unterricht aufzeigen.}},
  author       = {{Barzel, Bärbel and Greefrath, Gilbert and Nagel, Mareike and Hoffmann, Max}},
  journal      = {{mathematik lehren}},
  pages        = {{42 -- 47}},
  title        = {{{Digitalisierung als Chance für alle Prinzipien guten Unterrichts}}},
  volume       = {{242}},
  year         = {{2024}},
}

@inbook{50554,
  author       = {{Prediger, Susanne and Wessel, Lena}},
  booktitle    = {{Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis}},
  editor       = {{Efing, Christian and Kalkavan-Aydin, Zeynep}},
  isbn         = {{978-3-11-074544-3}},
  pages        = {{363--372}},
  publisher    = {{DE GRUYTER}},
  title        = {{{31 Sprachbildung im berufsbezogenen Mathematikunterricht.}}},
  volume       = {{Band 3}},
  year         = {{2024}},
}

@article{54078,
  author       = {{Häsel-Weide, Uta and Graf, Lara Marie and Höveler, K. and Nührenbörger, M.}},
  journal      = {{HLZ – Herausforderung Lehrer*innenbildung}},
  number       = {{1}},
  title        = {{{Fachbezogene Professionalisierung von fachfremd Mathematik unterrichtenden Lehrkräften: Retrospektive Selbsteinschätzungen zur Expertise im Umgang mit Schwierigkeiten beim Mathematiklernen im Anfangsunterricht der Grundschule}}},
  doi          = {{10.11576/hlz-6727}},
  volume       = {{7}},
  year         = {{2024}},
}

@article{54144,
  abstract     = {{<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>}},
  author       = {{Lankeit, Elisa and Biehler, Rolf}},
  issn         = {{1863-9690}},
  journal      = {{ZDM – Mathematics Education}},
  publisher    = {{Springer Science and Business Media LLC}},
  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}},
  year         = {{2024}},
}

@inproceedings{55191,
  author       = {{Rezat, Sebastian and Visnovska, Jana and Yan, Guorui and Leshota, Moneoang and Sabra, Hussein}},
  booktitle    = {{Proceedings of the 14th International Congress on Mathematical Education}},
  keywords     = {{Mathematics, Mathematik, Textbook, Curriculum Resources, Schulbuch}},
  pages        = {{537–545}},
  publisher    = {{World Scientific}},
  title        = {{{Topic Study Group 41: Research and development on textbooks and resources for learning and teaching mathematics}}},
  doi          = {{10.1142/9789811287152_0065}},
  volume       = {{1}},
  year         = {{2024}},
}

@book{55193,
  author       = {{Hoffmann, Max and Hilgert, Joachim and Weich, Tobias}},
  isbn         = {{9783662673560}},
  publisher    = {{Springer Berlin Heidelberg}},
  title        = {{{Ebene euklidische Geometrie. Algebraisierung, Axiomatisierung und Schnittstellen zur Schulmathematik}}},
  doi          = {{10.1007/978-3-662-67357-7}},
  year         = {{2024}},
}

@article{55667,
  abstract     = {{<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>}},
  author       = {{Fleischer, Franz Yannik and Podworny, Susanne and Biehler, Rolf}},
  issn         = {{1570-1824}},
  journal      = {{Statistics Education Research Journal}},
  number       = {{1}},
  publisher    = {{International Association for Statistical Education}},
  title        = {{{Teaching and Learning to Construct Data-Based Decision Trees Using Data Cards as the First Introduction to Machine Learning in Middle School}}},
  doi          = {{10.52041/serj.v23i1.450}},
  volume       = {{23}},
  year         = {{2024}},
}

@inbook{55756,
  author       = {{Biehler, Rolf and Frischemeier, Daniel}},
  booktitle    = {{Inklusives Lehren und Lernen von Mathematik}},
  isbn         = {{9783658439637}},
  publisher    = {{Springer Fachmedien Wiesbaden}},
  title        = {{{Eine inklusive Lehr-Lernumgebung für die Leitidee „Daten und Zufall“ in der Primarstufe}}},
  doi          = {{10.1007/978-3-658-43964-4_13}},
  year         = {{2024}},
}

@book{55758,
  author       = {{Biehler, Rolf and Frischemeier, Daniel}},
  publisher    = {{Klett Kallmeyer}},
  title        = {{{Daten-Spürnasen auf Spurensuche: Datenanalyse in der Grundschule mit digitalen Werkzeugen}}},
  year         = {{2024}},
}

@article{56016,
  abstract     = {{<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>}},
  author       = {{Hoffmann, Max and Biehler, Rolf}},
  issn         = {{1863-9690}},
  journal      = {{ZDM – Mathematics Education}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Using academic mathematical knowledge when working on interface tasks–analyses of pre-service teachers’ arguments about rotationally symmetric figures}}},
  doi          = {{10.1007/s11858-024-01633-4}},
  year         = {{2024}},
}

@inbook{56021,
  author       = {{Häsel-Weide, Uta and Nührenbörger, M.}},
  booktitle    = {{Inklusives Lehren und Lernen von Mathematik: Konzepte und Beispiele mit Fokus auf Grund- und Förderschule}},
  editor       = {{Barzel, B. and Büchter, A. and Rütten, C. and Schacht, F. and Weskamp-Kleine, S.}},
  pages        = {{97--113}},
  publisher    = {{Springer Fachmedien Wiesbaden}},
  title        = {{{Produktives Fördern im inklusiven Mathematikunterricht}}},
  doi          = {{https://doi.org/10.1007/978-3-658-43964-4_7 }},
  year         = {{2024}},
}

@article{56022,
  author       = {{Häsel-Weide, Uta and Wallner, Melina}},
  journal      = {{Journal für Mathematik-Didaktik}},
  number       = {{2}},
  title        = {{{Achsensymmetrisch?! Praktiken, soziale und sozio-mathematische Normen der Begründung der Achsensymmetrie ebener Figuren in der Grundschule}}},
  doi          = {{https://doi.org/10.1007/s13138-024-00241-9}},
  volume       = {{45}},
  year         = {{2024}},
}

@article{56197,
  abstract     = {{<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>}},
  author       = {{Hoffmann, Max and Biehler, Rolf}},
  issn         = {{1863-9690}},
  journal      = {{ZDM – Mathematics Education}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Using academic mathematical knowledge when working on interface tasks–analyses of pre-service teachers’ arguments about rotationally symmetric figures}}},
  doi          = {{10.1007/s11858-024-01633-4}},
  year         = {{2024}},
}

@book{56199,
  editor       = {{Liebendörfer, Michael and Schmitz, Angelika and Biehler, Rolf}},
  title        = {{{Lernvideos in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität Paderborn und der TH Köln}}},
  year         = {{2024}},
}

@article{56780,
  abstract     = {{<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>}},
  author       = {{Biehler, Rolf and Durand-Guerrier, Viviane and Trigueros, María}},
  issn         = {{1863-9690}},
  journal      = {{ZDM – Mathematics Education}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{New trends in didactic research in university mathematics education}}},
  doi          = {{10.1007/s11858-024-01643-2}},
  year         = {{2024}},
}

@inbook{58269,
  author       = {{Dettelbach, Andrea and Häsel-Weide, Uta}},
  booktitle    = {{Förderung prozessbezogener Kompetenzen mit digitalen Medien. Mit mathematischen Objekten und Werkzeugen arbeiten}},
  editor       = {{Bierbrauer, C. and Ladel, S. and Platz, M.}},
  pages        = {{184--200}},
  publisher    = {{WTM-Verlag}},
  title        = {{{Operative Beziehungen erkennen, beschreiben und nutzen – Initiierung von Lernprozessen unter Einbeziehung der App ‚Rechenfeld‘}}},
  year         = {{2024}},
}

@inproceedings{58391,
  author       = {{Werth, Gerda}},
  booktitle    = {{Beiträge zum Mathematikunterricht 2024}},
  location     = {{Essen}},
  pages        = {{1505--1508}},
  title        = {{{Der Einzug der Mathematik in die Bildungspläne der höheren Mädchenschulen zu Beginn des 20. Jahrhunderts}}},
  doi          = {{https://doi.org/10.37626/GA9783959872782.0}},
  year         = {{2024}},
}

@inproceedings{59467,
  author       = {{Miller, Katherine M and Polman, Joseph L and Yoon, Susan A and Shim, Jooeun and Leung, Vivian Y and Nguyen, Yen and Rubin, Andee and Higgins, Traci and Karch, Jessica M and Hammerman, James KL and Matuk, Camillia and DesPortes, Kayla and Amato, Anna and Dikker, Suzanne and Ochoa, Xavier and Romero, Esteban and Podworny, Susanne and Fleischer, Yannik and Biehler, Rolf and Walker, Justice T. and Barany, Amanda and Acquah, Alex and Scarola, Andi and Reza, Sayed and Tran, Trang C. and Vacca, Ralph and Silander, Megan and Woods, Peter J. and Fernandez, Cassia and Eloy, Adelmo and Blikstein, Paulo and de Deus Lopes, Roseli and Radinsky, Josh and Tabak, Iris and Lee, Victor R. and Demszky, Dorottya and Levine, Sarah and Louie, Josephine}},
  booktitle    = {{Proceedings of the 18th International Conference of the Learning Sciences-ICLS 2024}},
  editor       = {{Lindgren, R. and Asino, T. I. and Kyza, E. A. and Looi, C. K. and Keifert, D. T. and Suárez, E.}},
  pages        = {{1863--1870}},
  publisher    = {{International Society of the Learning Sciences}},
  title        = {{{Data and Social Worlds: How Data Science Education Supports Civic Participation and Social Discourse}}},
  year         = {{2024}},
}