401-9951-58L  Didactics of Mathematics at the College Level I (University of Zurich)

SemesterAutumn Semester 2018
LecturersR. Schelldorfer
Periodicityyearly recurring course
Language of instructionGerman
CommentNo enrolment to this course at ETH Zurich. Book the corresponding module directly at UZH.
UZH Module Code: 090MaDgU

Enrolment only possible with matriculation in Teaching Diploma or TC at ETH or in Teaching Diploma at UZH.

Mind the enrolment deadlines at UZH:
https://www.uzh.ch/cmsssl/en/studies/application/mobilitaet.html


AbstractStudents are familiarised with the subjects taught at high-school level I (the first three years of the full-length high school, or the first year of the reduced-length high school). The central contents of geometry, arithmetic and algebra, and also written mathematical problems are explained.
Learning objectiveIn the teaching given at high-school level I (the first three years of the full-length high school or the first year of the reduced-length high school), central concepts and approaches adopted in mathematics are introduced and observed in greater depth. These include variables, function, proof. This calls for a careful didactic analysis on the part of the teacher, requiring them to study and reflect on the prerequisites for the pupils and the requirements in terms of mathematics and cognitive psychology.
ContentBeispiele von Schülerarbeiten geben in diesem Seminar einen Einblick in die mathematische Denkwelt der Schülerinnen und Schüler. Vielfältige Aufgaben zum Einsatz im Unterricht werden vorgestellt, selber gelöst und diskutiert.

- Arithmetik und Algebra: Zahlbereiche, Form und Inhalt in der Algebra
- Geometrie: Konstruieren-Berechnen-Beweisen, dynamische Geometrie (Geogebra).
- Sachrechnen: Funktionsbegriff, mathematische Modellierung.
- Aktuelle mathematikdidaktische Aspekte wie Lernprozesse, Grundvorstellungen, Kompetenzen, offene Aufgaben.
Lecture notesZahlreiche begleitende Unterlagen werden abgegeben.
Prerequisites / NoticeSeminar mit Übungen