The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Those Who Understand: Knowledge Growth in Teaching
Abstract
Esta investigación tiene como propósito analizar algunos referentes teóricos sobre la Filosofía de las Matemáticas (FM) y el conocimiento del profesor de Matemáticas (CPM), con el fin de presentar evidencias de la articulación e integración de la FM en los modelos del CPM en función del quehacer docente, particularmente el sugerido por Stacey (2008). Por lo anterior, se sistematizan y describen los planteamientos de algunas fuentes bibliográficas referentes a la FM y a los modelos del CPM con la intención de aportar información sobre la relación que hay entre la Didáctica de las Matemáticas (DM), la FM, y el CPM.
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“PCK, as conceptualised by Shulman (1986), emphasises the transformation of subject matter knowledge into pedagogically meaningful and developmentally appropriate learning experiences.”
From Teaching Science anew in the Foundation Phase: Reimagining pre-service teacher learning for Inclusive Early Pedagogy (2026) · cites this paper as Shulman (1986)
In the citing paper
“it is often manifested and evidenced in their practices (e.g., Ball et al., 2008;Shulman, 1986;Tchoshanov, 2010).”
From Preservice teachers' mathematical knowledge for teaching: Focus on lesson planning and reflection (2024) · cites this paper as Shulman, 1986
Citations
Cites
Handbook of research on teaching
Wittrock, M. C. (1986) · Bibliothèque et Archives nationales du Québec (Québec government) · Cited by 10,630
Judgment under Uncertainty: Heuristics and Biases
(1982) · doi:10.1017/cbo9780511809477 · Cited by 8,240
Judgment Under Uncertainty: Heuristics and Biases.
Shafer, G. R., Kahnerman, D., Slovic, P., & Tversky, A. (1984) · Journal of the American Statistical Association · doi:10.2307/2288362 · Cited by 5,658
Discipline and group management in classrooms
Kounin, J. S. (1970) · Medical Entomology and Zoology · Cited by 1,329
Ramus, Method, and the Decay of Dialogue.
Scott, T. K., & Ong, W. J. (1962) · The Journal of Philosophy · doi:10.2307/2023714 · Cited by 647
Handbook of Teaching and Policy
Levin, H. M., Shulman, L. S., & Sykes, G. (1983) · Journal of Policy Analysis and Management · doi:10.2307/3324015 · Cited by 642
Self-citationScience, Curriculum, and Liberal Education: Selected Essays
Gowin, D. B., Schwab, J. J., Westbury, I., & Wilkof, N. J. (1981) · Educational Researcher · doi:10.2307/1175440 · Cited by 574
An Experimental Study of Effective Teaching in First-Grade Reading Groups
Anderson, L. M., Evertson, C. M., & Brophy, J. (1979) · The Elementary School Journal · doi:10.1086/461151 · Cited by 449
The Universities of Europe in the Middle Ages
Rashdall, H. (2010) · Cambridge University Press eBooks · doi:10.1017/cbo9780511722301 · Cited by 435
Disciplines of Inquiry in Education: An Overview
Shulman, L. S. (1981) · Educational Researcher · doi:10.3102/0013189x010006005 · Cited by 239
Self-citation
Research works printed but not linked: 4
- Geertz C, 1983, Local Knowledge
- Hoffman N, 1981, Women’s “true” profession
- Schwab JJ, 1978, Science, curriculum and liberal education
- Wheelwright P, 1951, Aristotle
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Metadata
- Authors
- SHULMAN, L. S.
- Affiliations
- Stanford University (US)
- Corresponding author
- SHULMAN, LEE S.
- Venue
- Educational Researcher
- Published
- 1986-02
- Volume
- 15
- Issue
- 2
- Pages
- 4-14
- ISSN
- 0013-189X (ISSN-L)
- 1935-102X
- OpenAlex
- W2140369176
- Cited by
- 18,546
- References
- 13
- Citations by year
- 2026: 836 · 2025: 784 · 2024: 667 · 2023: 879 · 2022: 1086 · 2021: 1085 · 2020: 1109 · 2019: 1133 · 2018: 1023 · 2017: 927 · 2016: 961 · 2015: 1127 · 2014: 886 · 2013: 915 · 2012: 780
- FWCI
- 301.39
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Educational Researcher (publishedVersion)
- Topics
- Social Sciences › Education › Mathematics Education and Teaching Techniques
- Social Sciences › Arts and Humanities › History and Philosophy of Science › History and Theory of Mathematics
- Social Sciences › Education › Mathematics Education and Pedagogy
- Keywords
- philosophy of mathematics, mathematical knowledge for teaching, mathematics education, teaching practice
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