Mathematik und Informatik

Prof. Dr. Gilbert Greefrath, Institut für Didaktik der Mathematik und Informatik

Private Homepagehttps://www.uni-muenster.de/IDMI/arbeitsgruppen/ag-greefrath/greefrath.shtml
Research InterestsMathematical modelling
Use of digital ressources
Transition from school to university
Development of test and examination items
Selected PublicationsQuarder J; Greefrath G; Gerber S; Siller H Pedagogical content knowledge for simulations and mathematical modelling with digital tools: a quasi-experimental study with pre-service mathematics teachers. ZDM - Mathematics Education Vol. 57 (2-3), 2025 online
Basendowski, Sven; Greefrath, Gilbert Anwendungsbezug in Mathematik-Large-Scale-Assessments im Bildungsmonitoring für den Sekundarstufe I – Bildungsgang des sonderpädagogischen Schwerpunkts Lernen. Journal für Mathematik-Didaktik Vol. 45 (1), 2024 online
Brnic, Maxim; Greefrath, Gilbert; Reinhold, Frank Working with digital textbooks or printed materials: A study with boys and girls on conditional probability. ZDM - Mathematics Education Vol. 56 (4), 2024 online
Wirth, Laura; Greefrath, Gilbert Working with an instructional video on mathematical modeling: upper-secondary students’ perceived advantages and challenges. ZDM - Mathematics Education Vol. 56 (4), 2024 online
Greefrath, Gilbert; Oldenburg, Reinhard; Siller, Hans-Stefan; Ulm, Volker; Weigand, Hans-Georg Mathematics Students’ Characteristics of Basic Mental Models of the Derivative. Journal für Mathematik-Didaktik Vol. 44, 2023 online
Kirsten, K.; Greefrath, G. On-Campus vs Distance Tutorials in Preparatory Courses for Mathematics Student Teachers. Performance Gains and Influencing Factors.. International Journal of Research in Undergraduate Mathematics Education Vol. 10 (2), 2024 online
Greefrath G, Siller HS, Klock H, Wess R Pre-service secondary teachers’ pedagogical content knowledge for the teaching of mathematical modelling. Educational Studies in Mathematics Vol. 109 (2), 2022, pp 383-407 online
Greefrath, Gilbert; Siller, Hans-Stefan; Vorhölter, Katrin; Kaiser, Gabriele Mathematical modelling and discrete mathematics: opportunities for modern mathematics teaching. ZDM - Mathematics Education Vol. 54 (4), 2022 online
Greefrath, Gilbert; Wess, Raphael Mathematical Modeling in Teacher Education — Developing Professional Competence of Pre-Service Teachers in a Teaching–Learning Lab. Proceedings of the Singapore National Academy of Science Vol. 16 (1), 2022 online
Greefrath G, Oldenburg R, Siller HS, Ulm V, Weigand HG Basic mental models of integrals: theoretical conception, development of a test instrument, and first results. ZDM - Mathematics Education Vol. 53 (3), 2021, pp 649-661 online
Selected ProjectsStructure of mathematical modelling competence with digital tool

Following research on the acquisition of mathematical modelling competence by secondary school students, the ModiWe project will investigate the structure and acquisition of modelling competence with a digital mathematics tool. While modelling competence without the use of digital tools can be empirically described as a four-dimensional construct of sub-competences, this is an open question for modelling competence with a digital tool. In ModiWe, the structure of modelling competence with digital tools is therefore to be empirically determined with the help of a new test instrument and the influence of the use of a digital tool in mathematical modelling, compared to modelling without digital tools, on the acquisition of modelling competence with digital tools is to be investigated.

online
Sozial-inklusive Finanzbildung. Entwicklung und Erprobung und Evaluation kompetenzrahmenbasierter fächerverbindender Lehr-Lern-Arrangements (SoFi) - Teilvorhaben: Mathematische Kompetenzen

Das Projekt SoFi zielt auf die Entwicklung qualitätsgesicherter Lehr-Lern-Arrangements sozial-inklusiver finanzieller Bildung für die Ankerfächer ökonomischer Bildung sowie den Mathematikunterricht. Die Lehr-Lern-Arrangements fokussieren exemplarische Ausschnitte der Inhaltsfelder auf Basis des Kompetenzrahmens.

online
Unterrichts- und Fortbildungs-Qualität in Mathematik entwickeln Die Unterrichtsqualität entscheidet, welche Lerngelegenheiten Kinder und Jugendliche erhalten. Im Fach Mathematik sollen alle Lernenden zum aktiven Denken angeregt werden und durch Gespräche ein mathematisches Verständnis entwickeln. Daher ist es wichtig, den Unterricht zielgerichtet weiterzuentwickeln – an diesem Punkt setzt das Projekt QuaMath der KMK gemeinsam mit dem Deutschen Zentrum für Lehrkräftebildung Mathematik und dem IPN an. online
Digital Education Material

The DEM project aims to bring the use of digital textbooks to the next level: providing practical guidelines and specific samples of how to develop and produce a digital textbook considering all didactical, design, technical and accessibility aspects. In other words, the DEM project permits digital textbooks that meet the needs of all the stakeholders involved in the production and use of digital schoolbooks.

The multidisciplinary partners will develop and create the outcomes of the project at international working meetings, in online meetings and in individual working groups during the entire project. Subsequently, the outcomes will be presented to technical-pedagogical experts as well as to publishers, parents, and students on the project website, in social media, in a series of publications, and at national and international conferences and meetings.

In addition to a scientific analysis of the digital textbook, which describes the current state of development and evaluates existing implementations, the DEM project develops practical guidelines that illustrate how digital, accessible textbooks should be created. Prototypes will be the practical implementation of the guidelines and are dedicated to specific examples and problems of everyday school life.

online
Evaluation von Aufgaben zur Überprüfung der Bildungsstandards im Fach Mathematik (VERA-8 und kontinuierliche Aufgabenentwicklung) online
Current TalksUnderstanding the concept of derivative through dynamisch visualisations by GeoGebra. 14th Congress of the European Society for Research in Mathematics Education, Bozen-Bolzano
Vorkenntnisse von Erstsemesterstudierenden – eine Langzeitanalyse am Fachbereich Elektro- und Informationstechnik der FH Aachen. Herbst-Kolloquium zur Hochchulmathematikdidaktik, Tübingen
Grundvorstellungen aufbauen – am Beispiel von Funktion und Ableitung. MNU-Herbsttagung, Kiel
Comparing the efficacy of dynamic vs. static visualisations in students‘ characteristics of basic mental models of the derivative. Mathematics Education in the Digital Age 4 (MEDA4), Bari
Technology-based vs. paper-pencil: Mode effects in large-scale assessments. MATHEMATICS EDUCATION IN THE DIGITAL AGE 4 (MEDA4), Bari
Instructional videos on proofs: Undergraduates' viewing strategies and their relation to proof comprehension . 15th International Congress on Mathematical Education, Sydney
Teachers‘ Beliefs about Modelling with Technology. 15th International Congress on Mathematical Education, Sydney
All different or all the same? Characteristics of first-year students in different study programs. 15th International Congress on Mathematical Education, Sydney
Pedagogical Content Knowledge about Digital-Based Simulation and Modelling Tasks - Empirical Analysis of the Promotion of Pre-Service Teachers. 15th International Congress on Mathematical Education , Sydney
Current PublicationsLaumann, D.; Krause, M.; Kremer, F. E.; Leibrock, B.; Ubben, M. S.; Forthmann, B.; Janzik, R.; Masemann, D.; Reer, F.; Denz, C.; Greefrath, G.; Heinicke, S.; Marohn, A.; Quandt, T.; Souvignier, E.; Heusler, S. Mobile learning in the classroom – Should students bring mobile devices for learning, or should these be provided by schools?. Education and Information Technologies Vol. 30 (7), 2025 online
Hankeln C; Greefrath G Von Waffeln, Kegeln und der Modellierung: mit einem Sachproblem den mathematischen Modellierungsprozess erschließen und reflektieren. Neue Materialien für einen realitätsbezogenen Mathematikunterricht 10: ISTRON-Band zum Modellieren in der Praxis: Lernumgebungen zur Kompetenzorientierung in den Sekundarstufen, 2025, pp 93-108 online
Quarder J; Greefrath G; Gerber S; Siller H Pedagogical content knowledge for simulations and mathematical modelling with digital tools: a quasi-experimental study with pre-service mathematics teachers. ZDM - Mathematics Education Vol. 57 (2-3), 2025 online
Nguyen, Hoang; Greefrath, Gilbert Ableitung dynamisch über Visualisierungen entdecken - Ein Arbeitsblatt-basierter Lernpfad mit interaktiven GeoGebra-Applets. , 2025 online
Frenken, L.; Klinger, M.; Greefrath, G.; Barzel, B. Kognitives Potenzial deutscher Abituraufgaben. Journal für Mathematik-Didaktik Vol. 45 (2), 2024 online
Greefrath, G.; Oldenburg, R.; Siller, H.-S.; Ulm, V.; Weigand, H.-G. Digitalisierung im Mathematikunterricht: Theorie und Praxis digitaler Medien in der Sekundarstufe I. Mathematik Primarstufe und Sekundarstufe I + II, 2024 online
Greefrath, G.; Carreira, S. Mathematical Applications and Modelling in Mathematics Education. Proceedings of the 14th International Congress on Mathematical Education, 2024 online
Wirth, Laura; Kirsten, Katharina; Serpé, Christian; Greefrath, Gilbert Strategische Videos zum Beweisen in der Studieneingangsphase – das Projekt ProVie. Lernvideos in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität Paderborn und der TH Köln, 2024 online
Nguyen, Hoang; Greefrath, Gilbert Comparing the efficacy of dynamic vs. static visualisations in students’ characteristics of basic mental models of the derivative. Proceedings of the 14th ERME Topic Conference, 2024 online
Current ProjectsEntwicklung und Evaluation technologiebasierter Aufgaben zur Überprüfung der weiterentwickelten Bildungsstandards im Fach Mathematik in der Sekundarstufe l - BiSta Test Mathematik


online
Structure of mathematical modelling competence with digital tool

Following research on the acquisition of mathematical modelling competence by secondary school students, the ModiWe project will investigate the structure and acquisition of modelling competence with a digital mathematics tool. While modelling competence without the use of digital tools can be empirically described as a four-dimensional construct of sub-competences, this is an open question for modelling competence with a digital tool. In ModiWe, the structure of modelling competence with digital tools is therefore to be empirically determined with the help of a new test instrument and the influence of the use of a digital tool in mathematical modelling, compared to modelling without digital tools, on the acquisition of modelling competence with digital tools is to be investigated.

online
Sozial-inklusive Finanzbildung. Entwicklung und Erprobung und Evaluation kompetenzrahmenbasierter fächerverbindender Lehr-Lern-Arrangements (SoFi) - Teilvorhaben: Mathematische Kompetenzen

Das Projekt SoFi zielt auf die Entwicklung qualitätsgesicherter Lehr-Lern-Arrangements sozial-inklusiver finanzieller Bildung für die Ankerfächer ökonomischer Bildung sowie den Mathematikunterricht. Die Lehr-Lern-Arrangements fokussieren exemplarische Ausschnitte der Inhaltsfelder auf Basis des Kompetenzrahmens.

online
Evaluation von Aufgaben zur Überprüfung der Bildungsstandards im Fach Mathematik (VERA-8 und kontinuierliche Aufgabenentwicklung) online
Digital Education Material

The DEM project aims to bring the use of digital textbooks to the next level: providing practical guidelines and specific samples of how to develop and produce a digital textbook considering all didactical, design, technical and accessibility aspects. In other words, the DEM project permits digital textbooks that meet the needs of all the stakeholders involved in the production and use of digital schoolbooks.

The multidisciplinary partners will develop and create the outcomes of the project at international working meetings, in online meetings and in individual working groups during the entire project. Subsequently, the outcomes will be presented to technical-pedagogical experts as well as to publishers, parents, and students on the project website, in social media, in a series of publications, and at national and international conferences and meetings.

In addition to a scientific analysis of the digital textbook, which describes the current state of development and evaluates existing implementations, the DEM project develops practical guidelines that illustrate how digital, accessible textbooks should be created. Prototypes will be the practical implementation of the guidelines and are dedicated to specific examples and problems of everyday school life.

online
Unterrichts- und Fortbildungs-Qualität in Mathematik entwickeln Die Unterrichtsqualität entscheidet, welche Lerngelegenheiten Kinder und Jugendliche erhalten. Im Fach Mathematik sollen alle Lernenden zum aktiven Denken angeregt werden und durch Gespräche ein mathematisches Verständnis entwickeln. Daher ist es wichtig, den Unterricht zielgerichtet weiterzuentwickeln – an diesem Punkt setzt das Projekt QuaMath der KMK gemeinsam mit dem Deutschen Zentrum für Lehrkräftebildung Mathematik und dem IPN an. online
E-Mailgreefrath@uni-muenster.de
Phone+49 251 83-39396
FAX+49 251 83-32719
Room22, Henriette-Son-Str. 19
Secretary   Sekretariat Auffenberg
Frau Stephanie Auffenberg
Telefon +49 251 83-39378
Fax +49 251 83-32719
Zimmer 1, Henriette-Son-Str. 19
Sekretariat Hamsen
Frau Anja Hamsen
Telefon +49 251 83-33788
Fax +49 251 83-
Zimmer s. Sprechst.

AddressProf. Dr. Gilbert Greefrath
Institut für Didaktik der Mathematik und Informatik
Fachbereich Mathematik und Informatik der Universität Münster
Henriette Son-Straße (ehem. Apffelstaedtstraße) 19
48149 Münster
Diese Seite editieren