---
_id: '65386'
abstract:
- lang: eng
text: "Abstract\r\n \r\n Risk
is an integral part of modern societies and therefore school education, and in
particular mathematics education, should develop students’ risk literacy. Students’
risk literacy is part of the interdisciplinary research project siMINT (Understanding
complex STEM topics: Using simulations to promote competences for the 21st century).
One first challenge in this project was to find a common ground for the inconsistently
conceptualised terms of risk and risk literacy. Consequently, the aim of this
paper is to contribute to the conceptualisation of risk and risk literacy. The
first part of this paper provides a literature review on these areas, resulting
in a working conceptualisation of the two concepts. We further carried out two
consecutive steps of a Delphi study with\r\n N\r\n
\ = 15 and\r\n N\r\n
\ = 12 experts respectively, to develop a common conceptualisation
based on the plurality of different dimensions and elements of risk and risk literacy.
Based on the results of the first step of the Delphi study, we modified our working
conceptualisation, using a common model of risk and risk literacy with different
dimensions. In the second step of the Delphi study, the experts comment on (i) the
dimensions and (ii) the elements of risk and risk literacy in these dimensions.
The results showed that the experts are able to locate their individual definitions
of risk in the model with three dimensions (relation between risk/uncertainty,
connotation, and mathematical object) that we developed and to formulate reasons
for their allocation. Furthermore, the results revealed that risk literacy consists
of subsets of mathematical and non-mathematical elements that the experts rate
differently with regard to their importance. In general, the results contribute
to clarifying the constructs of risk and risk literacy as a basis for developing
approaches to improve risk literacy.\r\n "
article_number: '2'
author:
- first_name: Andreas
full_name: Eichler, Andreas
last_name: Eichler
- first_name: Theresa
full_name: Büchter, Theresa
last_name: Büchter
- first_name: Karin
full_name: Binder, Karin
id: '83381'
last_name: Binder
citation:
ama: Eichler A, Büchter T, Binder K. Conceptualising Risk and Risk Literacy—results
of a Delphi Study Konzeptualisierung von Risiko und Risikokompetenz – Ergebnisse
einer Delphi-Studie. Journal für Mathematik-Didaktik. 2026;47(1). doi:10.1007/s13138-026-00268-0
apa: Eichler, A., Büchter, T., & Binder, K. (2026). Conceptualising Risk and
Risk Literacy—results of a Delphi Study Konzeptualisierung von Risiko und Risikokompetenz –
Ergebnisse einer Delphi-Studie. Journal Für Mathematik-Didaktik, 47(1),
Article 2. https://doi.org/10.1007/s13138-026-00268-0
bibtex: '@article{Eichler_Büchter_Binder_2026, title={Conceptualising Risk and Risk
Literacy—results of a Delphi Study Konzeptualisierung von Risiko und Risikokompetenz –
Ergebnisse einer Delphi-Studie}, volume={47}, DOI={10.1007/s13138-026-00268-0},
number={12}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science
and Business Media LLC}, author={Eichler, Andreas and Büchter, Theresa and Binder,
Karin}, year={2026} }'
chicago: Eichler, Andreas, Theresa Büchter, and Karin Binder. “Conceptualising Risk
and Risk Literacy—Results of a Delphi Study Konzeptualisierung von Risiko Und
Risikokompetenz – Ergebnisse Einer Delphi-Studie.” Journal Für Mathematik-Didaktik
47, no. 1 (2026). https://doi.org/10.1007/s13138-026-00268-0.
ieee: 'A. Eichler, T. Büchter, and K. Binder, “Conceptualising Risk and Risk Literacy—results
of a Delphi Study Konzeptualisierung von Risiko und Risikokompetenz – Ergebnisse
einer Delphi-Studie,” Journal für Mathematik-Didaktik, vol. 47, no. 1,
Art. no. 2, 2026, doi: 10.1007/s13138-026-00268-0.'
mla: Eichler, Andreas, et al. “Conceptualising Risk and Risk Literacy—Results of
a Delphi Study Konzeptualisierung von Risiko Und Risikokompetenz – Ergebnisse
Einer Delphi-Studie.” Journal Für Mathematik-Didaktik, vol. 47, no. 1,
2, Springer Science and Business Media LLC, 2026, doi:10.1007/s13138-026-00268-0.
short: A. Eichler, T. Büchter, K. Binder, Journal Für Mathematik-Didaktik 47 (2026).
date_created: 2026-04-10T05:49:41Z
date_updated: 2026-08-06T14:22:44Z
ddc:
- '370'
doi: 10.1007/s13138-026-00268-0
file:
- access_level: closed
content_type: application/pdf
creator: binder
date_created: 2026-04-20T16:20:33Z
date_updated: 2026-04-20T16:20:33Z
file_id: '65468'
file_name: Eichler Büchter Binder 2026 Conceptualising Risk and Risk Literacy -
results of a Delphi Study.pdf
file_size: 2030179
relation: main_file
success: 1
file_date_updated: 2026-04-20T16:20:33Z
has_accepted_license: '1'
intvolume: ' 47'
issue: '1'
language:
- iso: eng
project:
- _id: '2784'
name: '„Komplexe MINT-Themen verstehen: Mit Simulationen Kompetenzen für das 21.
Jahrhundert fördern“ (siMINT) - Teilprojekt siMINT Risk'
publication: Journal für Mathematik-Didaktik
publication_identifier:
issn:
- 0173-5322
- 1869-2699
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Conceptualising Risk and Risk Literacy—results of a Delphi Study Konzeptualisierung
von Risiko und Risikokompetenz – Ergebnisse einer Delphi-Studie
type: journal_article
user_id: '83381'
volume: 47
year: '2026'
...
---
_id: '64583'
author:
- first_name: Theresa
full_name: Büchter, Theresa
last_name: Büchter
- first_name: Karin
full_name: Binder, Karin
id: '83381'
last_name: Binder
- first_name: Andreas
full_name: Eichler, Andreas
last_name: Eichler
citation:
ama: 'Büchter T, Binder K, Eichler A. The integration of probability-based arguments
in risk-related contexts. In: Birk L, Loth G, Jotzo L, Binder K, Frischemeier
D, eds. Proceedings of the IASE 2025 Satellite Conference - Statistics and
Data Science Education in STEAM. International Association for Statistics
Education; 2026. doi:10.52041/iase25.125'
apa: Büchter, T., Binder, K., & Eichler, A. (2026). The integration of probability-based
arguments in risk-related contexts. In L. Birk, G. Loth, L. Jotzo, K. Binder,
& D. Frischemeier (Eds.), Proceedings of the IASE 2025 Satellite Conference
- Statistics and Data Science Education in STEAM. International Association
for Statistics Education. https://doi.org/10.52041/iase25.125
bibtex: '@inproceedings{Büchter_Binder_Eichler_2026, title={The integration of probability-based
arguments in risk-related contexts}, DOI={10.52041/iase25.125},
booktitle={Proceedings of the IASE 2025 Satellite Conference - Statistics and
Data Science Education in STEAM}, publisher={International Association for Statistics
Education}, author={Büchter, Theresa and Binder, Karin and Eichler, Andreas},
editor={Birk, Lisa and Loth, Gerrit and Jotzo, Luca and Binder, Karin and Frischemeier,
Daniel}, year={2026} }'
chicago: Büchter, Theresa, Karin Binder, and Andreas Eichler. “The Integration of
Probability-Based Arguments in Risk-Related Contexts.” In Proceedings of the
IASE 2025 Satellite Conference - Statistics and Data Science Education in STEAM,
edited by Lisa Birk, Gerrit Loth, Luca Jotzo, Karin Binder, and Daniel Frischemeier.
International Association for Statistics Education, 2026. https://doi.org/10.52041/iase25.125.
ieee: 'T. Büchter, K. Binder, and A. Eichler, “The integration of probability-based
arguments in risk-related contexts,” in Proceedings of the IASE 2025 Satellite
Conference - Statistics and Data Science Education in STEAM, 2026, doi: 10.52041/iase25.125.'
mla: Büchter, Theresa, et al. “The Integration of Probability-Based Arguments in
Risk-Related Contexts.” Proceedings of the IASE 2025 Satellite Conference -
Statistics and Data Science Education in STEAM, edited by Lisa Birk et al.,
International Association for Statistics Education, 2026, doi:10.52041/iase25.125.
short: 'T. Büchter, K. Binder, A. Eichler, in: L. Birk, G. Loth, L. Jotzo, K. Binder,
D. Frischemeier (Eds.), Proceedings of the IASE 2025 Satellite Conference - Statistics
and Data Science Education in STEAM, International Association for Statistics
Education, 2026.'
date_created: 2026-02-22T10:00:03Z
date_updated: 2026-08-06T14:22:09Z
ddc:
- '370'
doi: 10.52041/iase25.125
editor:
- first_name: Lisa
full_name: Birk, Lisa
last_name: Birk
- first_name: Gerrit
full_name: Loth, Gerrit
last_name: Loth
- first_name: Luca
full_name: Jotzo, Luca
last_name: Jotzo
- first_name: Karin
full_name: Binder, Karin
last_name: Binder
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
file:
- access_level: closed
content_type: application/pdf
creator: binder
date_created: 2026-04-20T16:23:48Z
date_updated: 2026-04-20T16:23:48Z
file_id: '65469'
file_name: Büchter Binder Eichler 2025 The integration of probability-based arguments
in risk-related contexts.pdf
file_size: 498856
relation: main_file
success: 1
file_date_updated: 2026-04-20T16:23:48Z
has_accepted_license: '1'
language:
- iso: eng
project:
- _id: '2784'
name: '„Komplexe MINT-Themen verstehen: Mit Simulationen Kompetenzen für das 21.
Jahrhundert fördern“ (siMINT) - Teilprojekt siMINT Risk'
publication: Proceedings of the IASE 2025 Satellite Conference - Statistics and Data
Science Education in STEAM
publication_status: published
publisher: International Association for Statistics Education
status: public
title: The integration of probability-based arguments in risk-related contexts
type: conference
user_id: '83381'
year: '2026'
...
---
_id: '66676'
citation:
ama: Büchter T, Eichler A, Binder K, eds. Simulationen in Der MINT-Bildung -
Impulse Für Den Mathematikunterricht. Vol 72. Friedrich Verlag; 2026:2-5.
apa: Simulationen in der MINT-Bildung - Impulse für den Mathematikunterricht. (2026).
In T. Büchter, A. Eichler, & K. Binder (Eds.), Der Mathematikunterricht
(Vol. 72, Issue 3, pp. 2–5). Friedrich Verlag.
bibtex: '@book{Büchter_Eichler_Binder_2026, title={Simulationen in der MINT-Bildung
- Impulse für den Mathematikunterricht}, volume={72}, number={3}, journal={Der
Mathematikunterricht}, publisher={Friedrich Verlag}, year={2026}, pages={2–5}
}'
chicago: Büchter, Theresa, Andreas Eichler, and Karin Binder, eds. Simulationen
in Der MINT-Bildung - Impulse Für Den Mathematikunterricht. Der Mathematikunterricht.
Vol. 72. Friedrich Verlag, 2026.
ieee: T. Büchter, A. Eichler, and K. Binder, Eds., Simulationen in der MINT-Bildung
- Impulse für den Mathematikunterricht, vol. 72, no. 3. Friedrich Verlag,
2026, pp. 2–5.
mla: Büchter, Theresa, et al., editors. “Simulationen in Der MINT-Bildung - Impulse
Für Den Mathematikunterricht.” Der Mathematikunterricht, vol. 72, no. 3,
Friedrich Verlag, 2026, pp. 2–5.
short: T. Büchter, A. Eichler, K. Binder, eds., Simulationen in Der MINT-Bildung
- Impulse Für Den Mathematikunterricht, Friedrich Verlag, 2026.
date_created: 2026-08-06T14:19:31Z
date_updated: 2026-08-06T14:21:43Z
department:
- _id: '983'
editor:
- first_name: Theresa
full_name: Büchter, Theresa
last_name: Büchter
- first_name: Andreas
full_name: Eichler, Andreas
last_name: Eichler
- first_name: Karin
full_name: Binder, Karin
id: '83381'
last_name: Binder
intvolume: ' 72'
issue: '3'
language:
- iso: eng
page: 2-5
project:
- _id: '2784'
name: '„Komplexe MINT-Themen verstehen: Mit Simulationen Kompetenzen für das 21.
Jahrhundert fördern“ (siMINT) - Teilprojekt siMINT Risk'
publication: Der Mathematikunterricht
publisher: Friedrich Verlag
status: public
title: Simulationen in der MINT-Bildung - Impulse für den Mathematikunterricht
type: journal_editor
user_id: '83381'
volume: 72
year: '2026'
...
---
_id: '66677'
author:
- first_name: Theresa
full_name: Büchter, Theresa
last_name: Büchter
- first_name: Karin
full_name: Binder, Karin
id: '83381'
last_name: Binder
- first_name: Andreas
full_name: Eichler, Andreas
last_name: Eichler
citation:
ama: Büchter T, Binder K, Eichler A. Unterschiedliche Typen von Simulationen - Klassifikation,
Beispiele und unterrichtlicher Einsatz. Der Mathematikunterricht. 2026;73(3):6-15.
apa: Büchter, T., Binder, K., & Eichler, A. (2026). Unterschiedliche Typen von
Simulationen - Klassifikation, Beispiele und unterrichtlicher Einsatz. Der
Mathematikunterricht, 73(3), 6–15.
bibtex: '@article{Büchter_Binder_Eichler_2026, title={Unterschiedliche Typen von
Simulationen - Klassifikation, Beispiele und unterrichtlicher Einsatz}, volume={73},
number={3}, journal={Der Mathematikunterricht}, author={Büchter, Theresa and Binder,
Karin and Eichler, Andreas}, year={2026}, pages={6–15} }'
chicago: 'Büchter, Theresa, Karin Binder, and Andreas Eichler. “Unterschiedliche
Typen von Simulationen - Klassifikation, Beispiele Und Unterrichtlicher Einsatz.”
Der Mathematikunterricht 73, no. 3 (2026): 6–15.'
ieee: T. Büchter, K. Binder, and A. Eichler, “Unterschiedliche Typen von Simulationen
- Klassifikation, Beispiele und unterrichtlicher Einsatz,” Der Mathematikunterricht,
vol. 73, no. 3, pp. 6–15, 2026.
mla: Büchter, Theresa, et al. “Unterschiedliche Typen von Simulationen - Klassifikation,
Beispiele Und Unterrichtlicher Einsatz.” Der Mathematikunterricht, vol.
73, no. 3, 2026, pp. 6–15.
short: T. Büchter, K. Binder, A. Eichler, Der Mathematikunterricht 73 (2026) 6–15.
date_created: 2026-08-06T14:21:24Z
date_updated: 2026-08-06T14:21:29Z
department:
- _id: '983'
intvolume: ' 73'
issue: '3'
language:
- iso: eng
page: 6-15
project:
- _id: '2784'
name: '„Komplexe MINT-Themen verstehen: Mit Simulationen Kompetenzen für das 21.
Jahrhundert fördern“ (siMINT) - Teilprojekt siMINT Risk'
publication: Der Mathematikunterricht
status: public
title: Unterschiedliche Typen von Simulationen - Klassifikation, Beispiele und unterrichtlicher
Einsatz
type: journal_article
user_id: '83381'
volume: 73
year: '2026'
...