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 Mathematik - Ve...  
 Course

SoSe 24: AUSGELAUFEN: Masterstudiengang für das Lehramt an Grundschulen bis 30.09.2022

Mathematik - Vertiefungsfach

0440a_m25

  • Proseminar Mathematics - Teacher Training

    0082fA3.2
    • 19200810 Proseminar
      Undergraduate Seminar: History + Contextualization of Mathematics (Anina Mischau)
      Schedule: Do 12:00-14:00 (Class starts on: 2024-04-18)
      Location: A6/SR 032 Seminarraum (Arnimallee 6)

      Comments

      This proseminar, specially designed for teacher training students, focuses on the discovery and development of mathematics as part of culture and society. From the point of view of "becoming mathematics", the main focus will be on the intra-mathematical development of selected mathematical topics and findings, their historical and cultural contextualisation and the actors involved in this development. In addition, some of these topics and findings will be examined as examples of where and to what extent they have found their way into other areas and contexts, e.g. in art, music, architecture or other scientific disciplines.

      Suggested reading

      ... wird im Seminar bekannt gegeben.
    • 19203311 Seminar Cancelled
      Proseminar/Seminar Gruppentheorie (Kivanc Ersoy)
      Schedule: Di 14:00-16:00 (Class starts on: 2024-04-16)
      Location: A6/SR 009 Seminarraum (Arnimallee 6)

      Additional information / Pre-requisites

      Participants should feel comfortable with the contents of 'Linear algebra 1', and perhaps 'Linear algebra 2'. If there are interested students who have already done the 'Algebra und Zahlentheorie' module, we will also be able to find interesting topics for them.

      Comments

      Fundamental concepts of infinite group theory, series of subgroups, radicals and residuals, finiteness conditions: finitely generated and finitely presented groups, groups with finite rank, periodic and locally finite groups, maximal and minimal conditions. Solvable and nilpotent groups, properties of upper and lower central series, residually finite groups, generalized nilpotent groups, Engel groups, local theorems and generalized solvable groups.

      Textbook: Finiteness conditions and Generalized Solvable groups, Derek Robinson

      The course will be held in English
    • 19221917 Seminar / Undergraduate Course
      Introduction to Representation Theory (Georg Lehner)
      Schedule: Mi 10:00-12:00 (Class starts on: 2024-04-17)
      Location: A6/SR 007/008 Seminarraum (Arnimallee 6)

      Additional information / Pre-requisites

      Lineare Algebra I

      Comments

      If one has an object with symmetries, for example a polytope, or also a polynomial, one has a group - namely the group of symmetries of said object. The study of groups thus forms one of the most central topics in mathematics. A group can be studied by its action on such objects. We are going to study, in some sense, the easiest possible actions of finite groups: the linear actions on vector spaces. Such actions are called representations of finite groups. The study of such actions combines the methods of linear algebra with group theory, and has numerous applications in different areas of mathematics.

      Preliminary program:

      Generalities on linear representations, irreducible representations and operation on representations. Character theory, Schur’s lemma, decompositions of representations. Subgroups and induced representations. Explicit examples. Representations of the symmetric group.

      Suggested reading


      W. Fulton, J. Harris, Representation Theory - A First Course, GTM 129
    • 19229917 Seminar / Undergraduate Course
      Proofs from The Book (Pavle Blagojevic)
      Schedule: -
      Location: keine Angabe

      Comments

      The goal of the seminar is for students to get introduced to beautiful and important proofs from all areas of mathematics for which deep mathematical knowledge is not necessary. In the seminar we will read and present different chapters of the celebrated book "Proofs from THE BOOK" by Martin Aigner and Günter Ziegler. It is to our advantage that the book is available in multiple languages and is written in a very accessible way.
      The plan is to meet once a week. Each weak there will be a talk from one of the students.
      Further details will be discussed on the first meeting.

      -- Literature --


      Deutsche Version:
      https://link.springer.com/book/10.1007/978-3-642-02259-3

      English Version:
      https://link.springer.com/book/10.1007/978-3-662-57265-8

      Suggested reading

      Aigner & Ziegler: Das Buch der Beweise.

      Deutsche Version:
      https://link.springer.com/book/10.1007/978-3-642-02259-3

      English Version:
      https://link.springer.com/book/10.1007/978-3-662-57265-8
    • 19234810 Proseminar
      Women in the History of Mathematics and Computer Science (Anina Mischau)
      Schedule: Di 14:00-16:00 (Class starts on: 2024-04-16)
      Location: A6/SR 032 Seminarraum (Arnimallee 6)

      Additional information / Pre-requisites

      For mathematicians and computer scientists in a monobachelor's degree, creditable as ABV!

      Comments

      The seminar focuses on the development and rediscovery of the life stories and the work of some important mathematicians and computer scientists in the 19th and 20th centuries. The life and work of Sophie Germaine (1776-1831), Ada Lovelace (1815-1852), Sonja Kovalevskaya (1850-1891), Emmy Noether (1882-1935), Ruth Moufang (1905-1977), Grace Murray Hopper (1906-1992) and other female scientists are examined.

      The seminar is not about highlighting these women as an exception, because it would only set them on their exotic status. Rather, it is about a historical contextualization of their life and work. This not only enables an exemplary examination of social and cultural inclusion and exclusion processes along the gender category, but also the development of new perspectives on the traditional cultural history of both disciplines. The seminar is based on the approach of researching or discovering learning, i.e. the students will independently prepare and present individual seminar topics in group work. These presentations will then be discussed in the seminar. Through the use of observation sheets, a feedback culture is also to be tested that will be helpful in dealing with pupils and/or colleagues in later professional life.

  • Teaching and Learning Mathematics as Research and Development

    0439aA1.2
    • 122185 Seminar
      (II) LuL von Mathematik als F + Entw. (Hauke Straehler-Pohl)
      Schedule: Mi 10:00-12:00 (Class starts on: 2024-04-17)
      Location: 018 Seminarraum (Fabeckstr. 35 )

      Additional information / Pre-requisites

      BITTE DIESEN KURS NUR IM CAMPUS MANAGEMENT BUCHEN, WENN SIE IM WS 23/24 DEN KURS 122169 BESUCHT HABEN. (siehe Kommentar)

      Comments

      Bei diesem Kurs handelt es sich um die Fortsetzung des Kurses 122169 aus dem Wintersemester 23/24. Es werden nur Studierende zum Kurs zugelassen, die diesen Kurs schon im Wintersemester das Seminar 122169 belegt haben. Studierende, die sich über das Campus Management einen Platz buchen ohne den Kurs 122169 belegt zu haben, werden manuell wieder aus dem Kurs entfernt, damit die Teilnehmenden aus 122169 den für sie vorgesehenen Platz erhalten können.

    • 122186 Seminar
      (II) LuL von Mathematik als F + Entw. (Hauke Straehler-Pohl)
      Schedule: Mi 12:00-14:00 (Class starts on: 2024-04-17)
      Location: 018 Seminarraum (Fabeckstr. 35 )

      Information for students

      BITTE DIESEN KURS NUR IM CAMPUS MANAGEMENT BUCHEN, WENN SIE IM WS 23/24 DEN KURS 122170 BESUCHT HABEN. (siehe Kommentar)

      Comments

      Bei diesem Kurs handelt es sich um die Fortsetzung des Kurses 122170 aus dem Wintersemester 23/24. Es werden nur Studierende zum Kurs zugelassen, die diesen Kurs schon im Wintersemester das Seminar 122170 belegt haben. Studierende, die sich über das Campus Management einen Platz buchen ohne den Kurs 122170 belegt zu haben, werden manuell wieder aus dem Kurs entfernt, damit die Teilnehmenden aus 122170 den für sie vorgesehenen Platz erhalten können.

    • 122187 Seminar
      (II) LuL von Mathematik als F + Entw. (Wolfram Meyerhöfer)
      Schedule: Mi 10:00-12:00 (Class starts on: 2024-04-17)
      Location: KL 23/140 (Habelschwerdter Allee 45)
    • 122188 Seminar
      (II) LuL von Mathematik als F + Entw. (Wolfram Meyerhöfer)
      Schedule: Mi 14:00-16:00 (Class starts on: 2024-04-17)
      Location: KL 24/122d (Habelschwerdter Allee 45)
    • 122190 Seminar
      (II) LuL von Mathematik als F + Entw. (Felix Lensing)
      Schedule: Do 16:00-18:00 (Class starts on: 2024-04-18)
      Location: 019 Seminarraum (Fabeckstr. 35 )
    • 122191 Seminar
      (II) LuL von Mathematik als F + Entw. (Uwe Gellert, Eva Jablonka)
      Schedule: Do 14:00-16:00 (Class starts on: 2024-04-18)
      Location: KL 23/140 (Habelschwerdter Allee 45)
    • 122192 Seminar
      (II) LuL von Mathematik als F + Entw. (Uwe Gellert, Eva Jablonka)
      Schedule: Do 16:00-18:00 (Class starts on: 2024-04-18)
      Location: KL 24/122d (Habelschwerdter Allee 45)

  • Teaching methodology Mathematics - selected topics

    0563aA1.1
    • 19230015 Advanced seminar
      Mathematics Education - Selected Topics (Benedikt Weygandt)
      Schedule: Mi 12:00-15:00 (Class starts on: 2024-04-17)
      Location: A3/019 Seminarraum (Arnimallee 3-5)

      Additional information / Pre-requisites

      Hinweis: Parallel zu diesem fachdidaktischen Vertiefungsseminar findet auch die Lehrveranstaltung "Mathematik & Nachhaltigkeit" (LV 19248101) statt, in welcher die mathematischen Hintergründe und Anwendungen von Mathematik erarbeitet werden (anrechenbar für ausgewählte Mathematikmodule des Lehramtsmasterstudiengang). Eine parallele Belegung ist möglich, aber natürlich keine Voraussetzung für dieses Seminar.

      Comments

      The course discusses the objectives of a school-based treatment of various contents of analysis lessons, the course on analytical geometry and stochastics in upper secondary school. Selected examples are used to develop concepts for didactic analysis and reduction of individual teaching units and to discuss conclusions for teaching and with regard to the Central Abitur.

      The use of digital media (computer algebra systems, interactive whiteboards, teaching software) in the upper secondary school is demonstrated with examples. In a block seminar, first experiences with the interactive whiteboard are gained and its use in the classroom is discussed.
    • 19230115 Advanced seminar
      Mathematics Education - Selected Topics (Martina Lenze)
      Schedule: Termine siehe LV-Details (Class starts on: 2024-07-22)
      Location: Virtueller Raum 04

      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).
    • 19230215 Advanced seminar
      Mathematics Education - Selected Topics (Thorsten Scheiner)
      Schedule: So Sa 10:00-18:00 (Class starts on: 2024-05-31)
      Location: A3/019 Seminarraum (Arnimallee 3-5)

      Comments

       

  • Teaching methodology Mathematics - development, evaluation and research

    0563aA1.2
    • 19230515 Advanced seminar Cancelled
      Mathematics Education - Development, Evaluation and Research (Brigitte Lutz-Westphal)
      Schedule: Mo 12:00-14:00 (Class starts on: 2024-04-15)
      Location: A3/ 024 Seminarraum (Arnimallee 3-5)

      Additional information / Pre-requisites

      Seminar times are 12:00 (s.t.) to 14:00 (s.t.) and additional online appointments or eventual school visits will be agreed on together upon announcement.

       

      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.

      Seminar times are 12:00 (s.t.) to 14:00 (s.t.) and additional online appointments or eventual school visits will be agreed on together upon announcement.

      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
      Mathematics Education - Development, Evaluation and Research (Thorsten Scheiner)
      Schedule: So Sa 10:00-18:00 (Class starts on: 2024-07-19)
      Location: A3/019 Seminarraum (Arnimallee 3-5)

      Comments

      Titel des Seminars: Stärkenbasierter Mathematikunterricht

      Seminarbeschreibung: Ziel dieses Seminars ist es, Lehramtsstudierenden die Fähigkeit zu vermitteln, die mathematischen Fähigkeiten ihrer Schüler:innen zu identifizieren und diese gezielt zu fördern. Durch den Einsatz praktischer Analysewerkzeuge und die Reflexion von Schülerbeispielen erlernen die Teilnehmer:innen, wie sie ein Lernumfeld schaffen können, das alle Schüler:innen in ihren individuellen Stärken unterstützt und motiviert. Besonderes Augenmerk liegt zudem auf der Schaffung eines positiven Lernumfelds, das für die Entwicklung einer starken mathematischen Identität und Selbstwirksamkeit der Schüler:innen essentiell ist.

      Das Seminar findet als Blockveranstaltung an zwei Wochenenden statt (siehe Termine).

      Aktive Teilnahmeformen umfassen die Lektüre von Texten, das Verfassen schriftlicher Ausarbeitungen zu Seminaraufgaben, die Analyse von Schülerarbeiten und eigenen Wahrnehmungsaktivitäten sowie die aktive Teilnahme an den Seminarsitzungen. Des Weiteren wird ein Reflektionsportfolio erstellt.

      Modulprüfung: Hausarbeit  
    • 19230915 Advanced seminar
      Mathematics Education - Development, Evaluation and Research (Brigitte Lutz-Westphal)
      Schedule: Di 12:00-14:00 (Class starts on: 2024-04-16)
      Location: A3/ 024 Seminarraum (Arnimallee 3-5)

      Comments

      Refer to German description. Courses of Mathematics Education are part of the German teacher-training and held in German only.

  • Elective module: Mathematics teaching methodology, colloquium for Master's thesis

    0439aA2.1

  • Modules w/o courses in this semester

    4 Modules
    • Mathematical Panorama (5 CP) 0082fA1.3
    • Elective module: proseminar Mathematics - specialisation for teaching 0213bA1.6
    • Current research issues, subject-related, didactic and methodological supplements for teaching Mathematics 0439aA1.1
    • Teaching methodology Mathematics - selected topics ISS 0460aA1.1