---
_id: '55393'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>The purpose of
    this study is to describe the knowledge that is required in exams on Analysis
    1 courses at German universities. To do so, we use the distinction between procedural
    and conceptual knowledge that is frequently used in the literature on mathematics
    education. For a more detailed analysis, we developed further categories for our
    coding scheme that better reflect the interaction of procedural and conceptual
    knowledge required to complete tasks. Using this coding scheme, we coded 49 exams
    from 12 out of 16 federal states in Germany, consisting of a total of 741 tasks.
    The analysis revealed that 69% of the tasks could be solved by recalling information
    or using procedural knowledge with only minor conceptual knowledge required, whilst
    31% required substantial conceptual knowledge. Based on this analysis, we assume
    that most exams can be passed by focusing the knowledge of facts and procedures.
    These results indicate a discrepancy between the teaching focus on conceptual
    knowledge and the knowledge assessed, which is discussed.</jats:p>"
author:
- first_name: Tim
  full_name: Kolbe, Tim
  last_name: Kolbe
- first_name: Michael
  full_name: Liebendörfer, Michael
  last_name: Liebendörfer
citation:
  ama: 'Kolbe T, Liebendörfer M. Which knowledge is required in exams on analysis
    1 courses at German universities? <i>Teaching Mathematics and its Applications:
    An International Journal of the IMA</i>. Published online 2024. doi:<a href="https://doi.org/10.1093/teamat/hrae012">10.1093/teamat/hrae012</a>'
  apa: 'Kolbe, T., &#38; Liebendörfer, M. (2024). Which knowledge is required in exams
    on analysis 1 courses at German universities? <i>Teaching Mathematics and Its
    Applications: An International Journal of the IMA</i>. <a href="https://doi.org/10.1093/teamat/hrae012">https://doi.org/10.1093/teamat/hrae012</a>'
  bibtex: '@article{Kolbe_Liebendörfer_2024, title={Which knowledge is required in
    exams on analysis 1 courses at German universities?}, DOI={<a href="https://doi.org/10.1093/teamat/hrae012">10.1093/teamat/hrae012</a>},
    journal={Teaching Mathematics and its Applications: An International Journal of
    the IMA}, publisher={Oxford University Press (OUP)}, author={Kolbe, Tim and Liebendörfer,
    Michael}, year={2024} }'
  chicago: 'Kolbe, Tim, and Michael Liebendörfer. “Which Knowledge Is Required in
    Exams on Analysis 1 Courses at German Universities?” <i>Teaching Mathematics and
    Its Applications: An International Journal of the IMA</i>, 2024. <a href="https://doi.org/10.1093/teamat/hrae012">https://doi.org/10.1093/teamat/hrae012</a>.'
  ieee: 'T. Kolbe and M. Liebendörfer, “Which knowledge is required in exams on analysis
    1 courses at German universities?,” <i>Teaching Mathematics and its Applications:
    An International Journal of the IMA</i>, 2024, doi: <a href="https://doi.org/10.1093/teamat/hrae012">10.1093/teamat/hrae012</a>.'
  mla: 'Kolbe, Tim, and Michael Liebendörfer. “Which Knowledge Is Required in Exams
    on Analysis 1 Courses at German Universities?” <i>Teaching Mathematics and Its
    Applications: An International Journal of the IMA</i>, Oxford University Press
    (OUP), 2024, doi:<a href="https://doi.org/10.1093/teamat/hrae012">10.1093/teamat/hrae012</a>.'
  short: 'T. Kolbe, M. Liebendörfer, Teaching Mathematics and Its Applications: An
    International Journal of the IMA (2024).'
date_created: 2024-07-26T07:46:20Z
date_updated: 2024-07-26T07:47:15Z
doi: 10.1093/teamat/hrae012
language:
- iso: eng
publication: 'Teaching Mathematics and its Applications: An International Journal
  of the IMA'
publication_identifier:
  issn:
  - 0268-3679
  - 1471-6976
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Which knowledge is required in exams on analysis 1 courses at German universities?
type: journal_article
user_id: '85819'
year: '2024'
...