The DOI matches its Crossref record.
Relational Understanding and Instrumental Understanding
Abstract
In this article, the author defines relational and instrumental understanding. He then explains the impact he feels these two disparate goals have on the attitudes and understanding of students. We believe the reader will find his ideas about the teaching and learning of mathematics remarkably contemporary and thought-provoking.
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Citations
Cited by
Growth in mathematical understanding: How can we characterise it and how can we represent it?
Pirie, S., & Kieren, T. (1994) · Educational Studies in Mathematics · doi:10.1007/bf01273662 · Cited by 404
Generating procedural and conceptual knowledge of fractions by pre-service teachers
Chinnappan, M., & Forrester, T. (2014) · Mathematics Education Research Journal · doi:10.1007/s13394-014-0131-x · Cited by 58
Iannone, P., Czichowsky, C., & Ruf, J. (2020) · Educational Studies in Mathematics · doi:10.1007/s10649-020-09937-4 · Cited by 42
Kinnear, G. (2021) · International Journal of Research in Undergraduate Mathematics Education · doi:10.1007/s40753-020-00121-w · Cited by 16
Metadata
- Authors
- Skemp, R. R.
- Venue
- Mathematics Teaching in the Middle School
- Published
- 2006-09
- Volume
- 12
- Issue
- 2
- Pages
- 88-95
- ISSN
- 1072-0839 (ISSN-L)
- 2328-5486
- OpenAlex
- W23192525
- Cited by
- 983
- References
- 0
- FWCI
- 163.00
- Type
- journal article
- Language
- en
- Open access
- closed
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.
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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.
