The DOI matches its Crossref record; 58 of the 58 references it cites were found in a registry or an index.
Quality Teaching of Mathematical Modelling: What Do We Know, What Can We Do?
Open accessAbstract
The topic of this paper is mathematical modelling or—as it is often, more broadly, called—applications and modelling. This has been an important topic in mathematics education during the last few decades, beginning with Pollak’s survey lecture (New Trends in Mathematics Teaching IV, Paris, pp. 232–248, 1979) at ICME-3, Karlsruhe 1976. By using the term “applications and modelling”, both the products and the processes in the interplay between the real world and mathematics are addressed. In this paper, I will try to summarize some important aspects, in particular, concerning the teaching of applications and modelling. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
(2008) · Cited by 6,939
Handbook of research on mathematics teaching and learning
(1992) · Choice Reviews Online · doi:10.5860/choice.30-2122 · Cited by 6,121
International Encyclopedia of the Social Sciences.
Duncan, O. D., & Sills, D. L. (1968) · American Sociological Review · doi:10.2307/2092889 · Cited by 3,486
Handbook of Educational Psychology
(2013) · Routledge eBooks · doi:10.4324/9780203053874 · Cited by 3,212
Hattie, J. (2008) · doi:10.4324/9780203887332 · Cited by 3,051
Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics
Schoenfeld, A. H. (2006) · Handbook of Research on Mathematics Teaching and Learning · doi:10.1108/978-1-60752-874-620251019 · Cited by 2,785
Teachers’ Mathematical Knowledge, Cognitive Activation in the Classroom, and Student Progress
Baumert, J., Kunter, M., Blum, W., Brunner, M., Voss, T., Jordan, A., Klusmann, U., Krauss, S., Neubrand, M., & Tsai, Y.-M. (2010) · American Educational Research Journal · doi:10.3102/0002831209345157 · Cited by 2,100 · cited 1×
“…teaching on learning teacher competencies ! quality teaching ! student learning; the COACTIV project has shown, for a representative sample of German secondary mathematics teachers, that subject-related teacher competencies have a strong influence on students’ performance (see Baumert et al. 2010).”
BackgroundSelf-citationInternational encyclopedia of the social and behavioral sciences
(2015) · Choice Reviews Online · doi:10.5860/choice.192822 · Cited by 1,831
Mathematics as an Educational Task
Freudenthal, H. (1972) · doi:10.1007/978-94-010-2903-2 · Cited by 1,336
Didactical Phenomenology of Mathematical Structures
(2002) · Mathematics Education Library · doi:10.1007/0-306-47235-x · Cited by 1,046
Metadata
- Authors
- Blum, W.
- Venue
- The Proceedings of the 12th International Congress on Mathematical Education
- Publisher
- Springer International Publishing
- Published
- 2015
- Pages
- 73-96
- OpenAlex
- W41849125
- Cited by
- 347
- References
- 58
- FWCI
- 54.09
- Type
- book chapter
- Language
- en
- Open access
- hybrid
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Quality Teaching of Mathematical Modelling: What Do We Know, What Can We Do? https://app.cochat.ai/papers/10.1007/978-3-319-12688-3_9
- The paper
- Blum, W. (2015). Quality Teaching of Mathematical Modelling: What Do We Know, What Can We Do? The Proceedings of the 12th International Congress on Mathematical Education. https://doi.org/10.1007/978-3-319-12688-3_9
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
