The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Rational Number, Ratio, and Proportion
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Citations
Cites
Categorization and Representation of Physics Problems by Experts and Novices*
Chi, M. T. H., Feltovich, P. J., & Glaser, R. (1981) · Cognitive Science · doi:10.1207/s15516709cog0502_2 · Cited by 5,248
The cognitive skill of teaching.
Leinhardt, G., & Greeno, J. G. (1986) · Journal of Educational Psychology · doi:10.1037//0022-0663.78.2.75 · Cited by 901
Three aspects of cognitive development
Siegler, R. S. (1976) · Cognitive Psychology · doi:10.1016/0010-0285(76)90016-5 · Cited by 666
Construction of Arithmetical Meanings and Strategies
Steffe, L. P., & Cobb, P. (1988) · Recent Research in Psychology · doi:10.1007/978-1-4612-3844-7 · Cited by 602
The Role of Implicit Models in Solving Verbal Problems in Multiplication and Division
Fischbein, E., Deri, M., Nello, M. S., & Marino, M. S. (1985) · Journal for Research in Mathematics Education · doi:10.2307/748969 · Cited by 471
Learning Fractions with Understanding: Building on Informal Knowledge
Mack, N. K. (1990) · Journal for Research in Mathematics Education · doi:10.2307/749454 · Cited by 282
The development of proportional reasoning and the ratio concept Part I ? Differentiation of stages
Noelting, G. (1980) · Educational Studies in Mathematics · doi:10.1007/bf00304357 · Cited by 278
Order and Equivalence of Rational Numbers: A Clinical Teaching Experiment
Behr, M. J., Wachsmuth, I., Post, T. R., & Lesh, R. (1984) · Journal for Research in Mathematics Education · doi:10.2307/748423 · Cited by 258
Self-citationCarpenter, T. P., Hiebert, J., & Moser, J. M. (1981) · Journal for Research in Mathematics Education · doi:10.2307/748656 · Cited by 211
Classes and collections: Conceptual organization and numerical abilities
Markman, E. M. (1979) · Cognitive Psychology · doi:10.1016/0010-0285(79)90018-5 · Cited by 96
Cited by
Hill, H. C., Ball, D. L., & Schilling, S. G. (2008) · Journal for Research in Mathematics Education · doi:10.5951/jresematheduc.39.4.0372 · Cited by 1,679
Ni, Y., & Zhou, Y.-D. (2005) · Educational Psychologist · doi:10.1207/s15326985ep4001_3 · Cited by 666
Cramer, K. A., Post, T. R., & delMas, R. C. (2002) · Journal for Research in Mathematics Education · doi:10.2307/749646 · Cited by 253
Self-citationPreservice teachers’ mathematical understanding exhibited in problem posing and problem solving
Yao, Y., Hwang, S., & Cai, J. (2021) · ZDM – Mathematics Education · doi:10.1007/s11858-021-01277-8 · Cited by 78
Lobato, J., Hohensee, C., Rhodehamel, B., & Diamond, J. (2012) · Mathematical Thinking and Learning · doi:10.1080/10986065.2012.656362 · Cited by 59
Metadata
- Authors
- Behr, M. J., Harel, G., Post, T., & Lesh, R.
- Venue
- Handbook of Research on Mathematics Teaching and Learning
- Publisher
- Emerald Publishing Limited
- Published
- 2006-11-16
- Pages
- 296-333
- OpenAlex
- W2246717614
- Cited by
- 403
- References
- 11
- FWCI
- 166.58
- Type
- book chapter
- 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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How to cite
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- This page
- CoChat. (2026). Citation check: Rational Number, Ratio, and Proportion. https://app.cochat.ai/papers/10.1108/978-1-60752-874-620251018
- The paper
- Behr, M. J., Harel, G., Post, T., & Lesh, R. (2006). Rational Number, Ratio, and Proportion. Handbook of Research on Mathematics Teaching and Learning. https://doi.org/10.1108/978-1-60752-874-620251018
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.