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Cited by 1,852History and Theory of MathematicsMathematics Education and PedagogyMathematics Education and Teaching Techniques

The DOI matches its Crossref record; 45 of the 45 references it cites were found in a registry or an index.

On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin

Sfard, Anna·1991·Educational Studies in Mathematics
DOI 10.1007/bf00302715
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Crossref · 10.1007/bf00302715

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45 of 45 references verified0 citation errors · 0 not checkable

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Cites

Show all 44 references

Research works printed but not linked: 13

  1. Brownell, W. A.: 1935, ?Psychological considerations in learning and teaching arithmetic?, in The Teaching of Arithmetic: Tenth Yearbook of the NCTM, Columbia University Press, New York.
  2. Clements, K.: 1981, ?Visual imagery and school mathematics?, For the Learning of Mathematics 2(2), 33?38.
  3. Dörfler, W.: 1987, ?Empirical investigation of the construction of cognitive schemata from actions?, in Proceedings of the Eleventh International Conference of PME, Vol. III, pp. 3?9.
  4. Dörfler, W.: 1989, ?Protocols of actions as a cognitive tool for knowledge construction?, in Proceedings of the Thirteenth International Conference of PME, Paris, Vol. 1, pp. 212?9.
  5. Eisenberg, T. and Dreyfus, T. (eds.): 1989, Visualization in the mathematics curriculum, Special issue of Focus on Learning Problems in Mathematics 11(1&2).
  6. Kaput, J. J.: 1979, ?Mathematics and learning: Roots of epistemological status?, in Lochhead, J. and Clement, J. (eds.), Cognitive Process Instruction, Franklin Institute Press.
  7. Otte, M.: 1984, ?Komplementarität?, Dialektik 8, 60?75.
  8. Poincaré, H.: 1952, Science and Method, Dover Publications, New York.
  9. Sfard, A.: 1987, ?Two conceptions of mathematical notions: operational and structural?, in Proceedings of the Eleventh International Conference of PME, Montreal, Vol. 3, pp. 162?9.
  10. Sfard, A.: 1988, ?Operational vs structural method of teaching mathematics: A case study?, in Proceedings of the Twelfth International Conference of PME, Hungary, pp. 560?7.
  11. Sfard, A.: 1989, ?Transition from operational to structural conception: the notion of function revisited?, in Proceedings of the Thirteenth International Conference of PME, Paris, Vol. 3, pp. 151?8.
  12. Sinclair, H. and Sinclair, A.: 1986, ?Children's mastery of written numerals and the construction of basic number concepts?, in Hiebert, J. (ed.), Conceptual and Procedural Knowledge: The Case of Mathematics, Erlbaum, Hillsdale, N.J.
  13. Thompson, P. W.: 1985, ?Experience, problem solving, and learning mathematics: considerations in developing mathematical curricula?, in E. A.Silver (ed.), Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives, Erlbaum, Hillsdale, N.J.

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Metadata

Authors
Sfard, A.
Affiliations
Hebrew University of Jerusalem (IL)
Corresponding author
Sfard, Anna
ORCID
Sfard, Anna
Venue
Educational Studies in Mathematics
Publisher
Springer Science and Business Media LLC
Published
1991-02
Volume
22
Issue
1
Pages
1-36
ISSN
  • 0013-1954 (ISSN-L)
  • 1573-0816
DOI
10.1007/bf00302715
OpenAlex
W2072267223
Semantic Scholar
57d32a56079c7a2d6b9c89c668386a1e09441137
Cited by
1,852
References
44
Citations by year
2026: 51 · 2025: 44 · 2024: 54 · 2023: 48 · 2022: 82 · 2021: 69 · 2020: 68 · 2019: 78 · 2018: 55 · 2017: 72 · 2016: 87 · 2015: 90 · 2014: 93 · 2013: 102 · 2012: 72
FWCI
77.21
Type
journal article
Language
en
Open access
closed
Licence
www.springer.com/tdm (tdm)
Locations
Educational Studies in Mathematics (publishedVersion)
Topics
  • Social Sciences › Arts and Humanities › History and Philosophy of Science › History and Theory of Mathematics
  • Social Sciences › Education › Mathematics Education and Pedagogy
  • Social Sciences › Education › Mathematics Education and Teaching Techniques
Keywords
structural conception, reification, interiorization, condensation, concept formation, mathematics learning, problem solving

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