---
_id: '31361'
abstract:
- lang: eng
text: At Paderborn University, a new 6th semester geometry-course for upper secondary
student teachers has been designed and taught by the first author of this paper.
To show links between academic mathematics and school mathematics we established
so-called interface weeks. These are weeks during a course in which lecture, exercises
and homework focus on topics that are related to the normal canon of content but
specially chosen for their relevance in school contexts. In this article, we want
to present our design for an interface week on the topic of congruence. In order
to do so, we first illustrate how so-called interface aspects are used to systematize
the mathematical background of the topic, thus giving future mathematics teachers
the chance to act professionally. We then show examples of learning activities
and first results of the accompanying research.
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Hoffmann M, Biehler R. Designing a Geometry Capstone Course for Student Teachers:
Bridging the gap between academic mathematics and school mathematics in the case
of congruence. In: * INDRUM 2020, Université de Carthage, Université de Montpellier,
Sep 2020, Cyberspace (Virtually from Bizerte), Tunisia*. ; 2020.'
apa: 'Hoffmann, M., & Biehler, R. (2020). Designing a Geometry Capstone Course
for Student Teachers: Bridging the gap between academic mathematics and school
mathematics in the case of congruence. * INDRUM 2020, Université de Carthage,
Université de Montpellier, Sep 2020, Cyberspace (Virtually from Bizerte), Tunisia*.'
bibtex: '@inproceedings{Hoffmann_Biehler_2020, title={Designing a Geometry Capstone
Course for Student Teachers: Bridging the gap between academic mathematics and
school mathematics in the case of congruence}, booktitle={ INDRUM 2020, Université
de Carthage, Université de Montpellier, Sep 2020, Cyberspace (virtually from Bizerte),
Tunisia}, author={Hoffmann, Max and Biehler, Rolf}, year={2020} }'
chicago: 'Hoffmann, Max, and Rolf Biehler. “Designing a Geometry Capstone Course
for Student Teachers: Bridging the Gap between Academic Mathematics and School
Mathematics in the Case of Congruence.” In * INDRUM 2020, Université de Carthage,
Université de Montpellier, Sep 2020, Cyberspace (Virtually from Bizerte), Tunisia*,
2020.'
ieee: 'M. Hoffmann and R. Biehler, “Designing a Geometry Capstone Course for Student
Teachers: Bridging the gap between academic mathematics and school mathematics
in the case of congruence,” 2020.'
mla: 'Hoffmann, Max, and Rolf Biehler. “Designing a Geometry Capstone Course for
Student Teachers: Bridging the Gap between Academic Mathematics and School Mathematics
in the Case of Congruence.” * INDRUM 2020, Université de Carthage, Université
de Montpellier, Sep 2020, Cyberspace (Virtually from Bizerte), Tunisia*, 2020.'
short: 'M. Hoffmann, R. Biehler, in: INDRUM 2020, Université de Carthage, Université
de Montpellier, Sep 2020, Cyberspace (Virtually from Bizerte), Tunisia, 2020.'
date_created: 2022-05-22T10:22:34Z
date_updated: 2023-01-11T15:29:45Z
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.archives-ouvertes.fr/hal-03113956/
oa: '1'
publication: ' INDRUM 2020, Université de Carthage, Université de Montpellier, Sep
2020, Cyberspace (virtually from Bizerte), Tunisia'
quality_controlled: '1'
status: public
title: 'Designing a Geometry Capstone Course for Student Teachers: Bridging the gap
between academic mathematics and school mathematics in the case of congruence'
type: conference
user_id: '32202'
year: '2020'
...