AUSGELAUFEN: Masterstudiengang für das Lehramt an Grundschulen bis 30.09.2022

• Mathematical Panorama (5 CP)

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  • 19236101 Lecture
    Mathematisches Panorama (Anina Mischau, Sarah Wolf)
    Schedule: Mi 12:00-14:00, zusätzliche Termine siehe LV-Details (Class starts on: 2025-10-15)
    Location: T9/SR 005 Übungsraum (Takustr. 9)
    

    Comments

    This is for a course in German - Short explanation in English:

    Mathematical Panorama is a two-hour overview course for First-Semester students of Mathematics (in particular, but not only, for teacher students) that presents the wide field of modern Mathematics - its history, its topics, its problems, its methods, some basic concepts, applications, etc.

     

    Suggested reading

    • Günter M. Ziegler und Andreas Loos: Panorama der Mathematik, Springer-Spektrum 2018, in Vorbereitung (wird in Auszügen zur Verfügung gestellt)
    • Hans Wußing, 6000 Jahre Mathematik: Eine kulturgeschichtliche Zeitreise, Springer 2009
      • Band 1: Von den Anfängen bis Leibniz und Newton
      • Band 2: Von Euler bis zur Gegenwart
    • Heinz-Wilhelm Alten et al., 4000 Jahre Algebra, Springer 2008
    • Christoph J. Scriba, 5000 Jahre Geometrie, Springer 2009
    • Heinz Niels Jahnke, Geschichte der Analysis: Texte zur Didaktik der Mathematik, Spektrum 1999
    • Richard Courant und Herbert Robbins, What is Mathematics?, Oxford UP 1941 (deutsch: Springer 2010)
    • Phillip J. Davis, Reuben Hersh, The Mathematical Experience, Mariner Books 1999

  • 19236102 Practice seminar
    Übung zu: Mathematisches Panorama (Anina Mischau)
    Schedule: Mo 14:00-16:00, Do 14:00-16:00, Do 16:00-18:00, Fr 12:00-14:00 (Class starts on: 2025-10-20)
    Location: A6/SR 007/008 Seminarraum (Arnimallee 6)
    

• Proseminar Mathematics - Teacher Training

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  • 19201510 Proseminar Cancelled
    Undergraduate Seminar: Linar Algebra (Alexander Schmitt)
    Schedule: Mo 14:00-16:00 (Class starts on: 2025-10-13)
    Location: A3/SR 119 (Arnimallee 3-5)
    

    Comments

    
     

  • 19214010 Proseminar
    Undergraduate Seminar "Magic Tricks with Mathematical Background" (Ehrhard Behrends)
    Schedule: Mo 14:00-16:00 (Class starts on: 2025-10-20)
    Location: A3/ 024 Seminarraum (Arnimallee 3-5)
    

    Comments

    Magic tricks with a mathematical background will be analyzed.

    Suggested reading

    Literatur: Mein 2017 bei Springer Spektrum erschienenes Buch "Zaubern und Mathematik" sowie einige Originalarbeiten zum Thema.

  • 19214210 Proseminar Cancelled
    Proseminar "Mathematik für die Öffentlichkeit“ (Anna Maria Hartkopf)
    Schedule: Termine siehe LV-Details (Class starts on: 2026-03-25)
    Location: A6/SR 032 Seminarraum (Arnimallee 6)
    
  • 19240317 Seminar / Undergraduate Course
    Advancing mathematics with AI (Georg Loho)
    Schedule: Di 14:00-16:00 (Class starts on: 2025-10-14)
    Location: A3/SR 120 (Arnimallee 3-5)
    

    Comments

    The course will probably be held in German. 

  • 19241710 Proseminar Cancelled
    Proseminar Mathematics Panorama (Anna Maria Hartkopf)
    Schedule: Mo 14:00-16:00 (Class starts on: 2025-10-20)
    Location: A6/SR 009 Seminarraum (Arnimallee 6)
    

    Suggested reading

    1. Hans Wußing, 6000 Jahre Mathematik: Eine kulturgeschichtliche Zeitreise;
    2. Band 1: Von den Anfängen bis Leibniz und Newton, Band 2: Von Euler bis zur Gegenwart, Springer 2009
    3. Heinz-Wilhelm Alten et al., 4000 Jahre Algebra, Springer 2008
    4. Christoph J. Scriba, 5000 Jahre Geometrie, Springer 2009
    5. Heinz-Niels Jahnke, Geschichte der Analysis: Texte zur Didaktik der Mathematik, Spektrum 1999
    6. Richard Courant und Herbert Robbins, Was ist Mathematik?, Springer 2010
    7. Phillip J. Davis, Reuben Hersh, The Mathematical Experience, Mariner Books 1999
    8. Knoebel, Arthur; Laubenbacher, Reinhard; Lodder, Jerry; Pengelley, David
    9. Mathematical masterpieces, Springer 2007
    10. Laubenbacher, Reinhard; Pengelley, David, Mathematical expeditions. Chronicles by the explorers, Springer 1999
    11. sowie abhängig vom Thema

  • 19245910 Proseminar
    Undergraduate Seminar: Good mathematical teaching at university level (Jan-Hendrik de Wiljes, Benedikt Weygandt)
    Schedule: Di 10:00-12:00 (Class starts on: 2025-10-14)
    Location: A3/019 Seminarraum (Arnimallee 3-5)
    

    Comments

    Undergraduate seminar “Good Mathematical Teaching at University”

    What actually happens when students reflect on university teaching and redesign it to promote learning?

    It is always easy to criticize existing concepts—but that alone does not change anything! That's why we want to take the frequently demanded student participation literally and give you the opportunity to contribute your experiences, expertise, and perspective as learners to the further development of good university teaching.

    Let's engage in a thought experiment—perhaps a crazy one?

    • What would happen if students designed a math lecture that was meaningful and useful to them? Or even an entire module?
    • What kind of tutorials do you think are useful? What activities (thinking, calculating, discussing...) should take place in the respective courses (lectures, exercises, central exercises...) and in what format (frontal, individual, group...)?
    • And what about the teaching materials: What should exercises look like? Lecture notes? Exams?

    Procedure

    After a short general introduction, we will devote three weeks to each topic (designing lectures, (central) exercises, lecture notes, exercise sheets, exams), gather inspiration, and then work out our “good” approaches in pairs.

    At the end of the semester, we want to discuss and try out the ideas, approaches, and concepts you have developed with university lecturers!

     

    Requirements

    It is essential that you already have some experience with university teaching! You should have attended at least 2‒3 introductory lectures in mathematics. The focus will not so much be on the content taught there, but rather on becoming familiar with mathematical work at the university. More important than the individual subject content is a basic understanding of mathematical thinking and working methods—and, in particular, an interest in contemporary teaching.    

    Note: It is not planned to write a bachelor's thesis based on this proseminar. If you would like to write a thesis on a topic related to your proseminar, we recommend one of the other courses offered.

• Didactics of Mathematics: Selected Topics

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  • 19230015 Advanced seminar
    Mathematics Education - Selected Topics (Björn Schwarz)
    Schedule: Mi 12:00-15:00 (Class starts on: 2025-10-15)
    Location: A3/019 Seminarraum (Arnimallee 3-5)
    

    Comments

     

  • 19230115 Advanced seminar
    Mathematics Education - Selected Topics (Björn Schwarz)
    Schedule: Di 12:00-15:00 (Class starts on: 2025-10-14)
    Location: A3/ 024 Seminarraum (Arnimallee 3-5)
    

    Comments

    Das Seminar fokussiert die prozessbezogene Kompetenz des mathematischen Modellierens im Mathematikunterricht der Sekundarstufe I und II. Dafür werden verschiedene theoretische Ansätze erarbeitet und mit konkreten unterrichtsbezogenen Beispielen in Beziehung gesetzt. Ein Schwerpunkt des Seminars liegt dabei in der eigenständigen Durchführung von Modellierungsprozessen zusammen mit einer theoriegeleiteten Reflexion unterrichtlicher Einsatzmöglichkeiten. Weiterhin wird das mathematische Modellieren im Mathematikunterricht im Seminar mit übergreifenden Aspekten von Mathematikunterricht (z. B. Medieneinsatz) in Verbindung gesetzt.

  • 19230215 Advanced seminar
    Mathematics Education - Selected Topics (Thorsten Scheiner)
    Schedule: Termine siehe LV-Details (Class starts on: 2025-11-07)
    Location: A3/019 Seminarraum (Arnimallee 3-5)
    

    Comments

    In line with the Science Council's demand for consideration of the growing importance of media literacy, according to which teachers should be enabled to prepare students for the competent use of information and communication technologies and to make digital media available for teaching and learning processes in schools, this seminar will focus on the following topics discuss the functions and effects of digital media in teaching and learning processes, analysing the possibilities of Internet and software use in mathematics lessons and demonstrate the advantages and disadvantages of using these digital tools using selected examples.

    The focus is on the practical handling of the possibilities of the Internet and selected programs (spreadsheet and dynamic geometry software). This is to take place in the form of intensive small group work. Afterwards, it is necessary to question the use of the respective tool with regard to achieving the goals of mathematics teaching and to work out examples for a problem-adequate application.

    Forms of active participation: active participation in discussions, working on tasks, presentations of projects. The module examination takes the form of an exam (60 min).

• Didactics of Mathematics: Development, Evaluation, and Research

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  • 19230515 Advanced seminar
    Mathematics Education - Development, Evaluation and Research (Brigitte Lutz-Westphal)
    Schedule: Di 09:00-12:00 (Class starts on: 2025-10-14)
    Location: A3/ 024 Seminarraum (Arnimallee 3-5)
    

    Comments

    In this seminar we will deal with a current field of research in mathematics education. Innovative teaching concepts (e.g. research-based/self-organized/dialogical learning) form the main focus of the seminar and are developed in a theoretical and practical context.

    On the basis, methods and results of mathematics education research, own questions for learning and teaching mathematics are formulated, discussed and concretely developed. The students gain an insight into the methods of mathematics education research.

    Individual meetings may be held in blocks.

    Suggested reading

    Ruf, Urs & Gallin, Peter (1998 bzw. spätere Auflagen): Dialogisches Lernen in Sprache und Mathematik, Band 1 und 2

    Ruf, Urs; Keller, Stefan & Winter, Felix (2008): Besser lernen im Dialog

    lerndialoge.ch

  • 19230615 Advanced seminar Cancelled
    Mathematics Education - Development, Evaluation and Research (N.N.)
    Schedule: Mi 12:00-15:00 (Class starts on: 2025-10-15)
    Location: keine Angabe
    

    Comments

    In this seminar we will deal with a current field of research in mathematics education. Innovative teaching concepts (e.g. research-based/self-organized/dialogical learning) form the main focus of the seminar and are developed in a theoretical and practical context.

    On the basis, methods and results of mathematics education research, own questions for learning and teaching mathematics are formulated, discussed and concretely developed. The students gain an insight into the methods of mathematics education research.

    Individual meetings may be held in blocks.

• Modules w/o courses in this semester

  5 Modules
  • Elective module: proseminar Mathematics - specialisation for teaching 0213bA1.6
  • Current research issues, subject-related, didactic and methodological supplements for teaching Mathematics 0439aA1.1
  • Teaching and Learning Mathematics as Research and Development 0439aA1.2
  • Teaching methodology Mathematics - selected topics ISS 0460aA1.1
  • Elective module: Mathematics teaching methodology, colloquium for Master's thesis 0439aA2.1