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Relational Understanding and Instrumental Understanding
Abstract
Faux amis is a term used by the French to describe words which are the same, or very alike, in two languages, but whose meanings are different. For example: French word Meaning in English histoire story, not history libraire bookshop, not library chef head of any organisation, not only chief cook agrément pleasure or amusement, not agreement docteur doctor (higher degree) not medical practitioner médecin medical practitioner, not medicine parent relations in general, including parents One gets faux amis between English as spoken in different parts of the world. An Englishman asking in America for a biscuit would be given what we call a scone. To get what we call a biscuit, he would have to ask for a cookie. And between English as used in mathematics and in
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Citations
Cited by
Sfard, A. (1991) · Educational Studies in Mathematics · doi:10.1007/bf00302715 · Cited by 1,852
Learning and Teaching With Understanding
Hiebert, J., & Carpenter, T. P. (2006) · Handbook of Research on Mathematics Teaching and Learning · doi:10.1108/978-1-60752-874-620251006 · Cited by 964
A research framework for creative and imitative reasoning
Lithner, J. (2008) · Educational Studies in Mathematics · doi:10.1007/s10649-007-9104-2 · Cited by 508
Mathematics Education and Students with Learning Disabilities: Introduction to the Special Series
Rivera, D. P. (1997) · Journal of Learning Disabilities · doi:10.1177/002221949703000101 · Cited by 79
Iannone, P., Czichowsky, C., & Ruf, J. (2020) · Educational Studies in Mathematics · doi:10.1007/s10649-020-09937-4 · Cited by 42
Metadata
- Authors
- Skemp, R. R.
- Venue
- The Arithmetic Teacher
- Published
- 1978-11
- Volume
- 26
- Issue
- 3
- Pages
- 9-15
- ISSN
- 0004-136X (ISSN-L)
- OpenAlex
- W3185163171
- Cited by
- 1,290
- References
- 0
- FWCI
- 27.69
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Relational Understanding and Instrumental Understanding. https://app.cochat.ai/papers/10.5951/at.26.3.0009
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- Skemp, R. R. (1978). Relational Understanding and Instrumental Understanding. The Arithmetic Teacher. https://doi.org/10.5951/at.26.3.0009
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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.
