The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
The development of proportional reasoning and the ratio concept Part I ? Differentiation of stages
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Cites
- STATISTICAL PACKAGE FOR SOCIAL SCIENCES
(2014) · Statistical Methods in Psychiatry Research and SPSS · doi:10.1201/b17560-26 · Cited by 12,056
Statistical Package for the Social Sciences
Greatorex, M. (2015) · Wiley Encyclopedia of Management · doi:10.1002/9781118785317.weom090665 · Cited by 4,389
Non-Parametric Statistics for the Behavioral Sciences.
Stuart, A., & Siegel, S. (1957) · Economica · doi:10.2307/2551606 · Cited by 3,383
Torgerson, W. S. (1958) · Medical Entomology and Zoology · Cited by 2,920
BMD : biomedical computer programs
Dixon, W. J. (1965) · University of California Press eBooks · Cited by 2,673
The psychology of meaningful verbal learning.
Ausubel, D. P. (1963) · Cited by 2,568
Nonparametric Statistics for the Behavioral Sciences.
David, F. N., & Siegel, S. (1957) · Biometrika · doi:10.2307/2332896 · Cited by 1,362
Mathematics as an Educational Task
Freudenthal, H. (1972) · doi:10.1007/978-94-010-2903-2 · Cited by 1,336
A Basis for Scaling Qualitative Data
Guttman, L. (1944) · American Sociological Review · doi:10.2307/2086306 · Cited by 1,317
Stouffer, S. A. (1950) · Princeton University Press eBooks · Cited by 1,244
LERNER, A. (1959) · American Journal of Psychiatry · doi:10.1176/ajp.116.2.190 · Cited by 1,002
The Cornell Technique for Scale and Intensity Analysis
Guttman, L. (1947) · Educational and Psychological Measurement · doi:10.1177/001316444700700204 · Cited by 208
La Genese de l'Idee de Hasard Chez l'Enfant
Sigel, I. E., Piaget, J., & Inhelder, B. (1953) · The American Journal of Psychology · doi:10.2307/1418993 · Cited by 143
Lifespan Developmental Psychology
Staudinger, U. M., & Baltes, P. B. (2001) · Springer eBooks · doi:10.1007/978-3-642-59519-6_43 · Cited by 85
Piagetian cognitive-development research and mathematical education
Rosskopf, M. F., Steffe, L. P., & Taback, S. F. (1971) · National Council of Teachers of Mathematics eBooks · Cited by 77
(1966) · Elsevier eBooks · doi:10.1016/c2013-0-12374-4 · Cited by 76
Methodology and Research Strategy in the Study of Developmental Change
Wohlwill, J. F. (1970) · Elsevier eBooks · doi:10.1016/b978-0-12-293850-4.50012-1 · Cited by 58
On Festinger's evaluation of scale analysis.
Guttman, L. (1947) · Psychological Bulletin · doi:10.1037/h0058931 · Cited by 37
Novillis, C. F. (1976) · Journal for Research in Mathematics Education · doi:10.5951/jresematheduc.7.3.0131 · Cited by 35
An Interpretation of Advanced Organizers
Lesh, R. (1976) · Journal for Research in Mathematics Education · doi:10.5951/jresematheduc.7.2.0069 · Cited by 14
Cited by
Bilingualism: consequences for mind and brain
Bialystok, E., Craik, F. I. M., & Luk, G. (2012) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2012.03.001 · Cited by 1,386
Stein, M. K., Engle, R. A., Smith, M. S., & Hughes, E. K. (2008) · Mathematical Thinking and Learning · doi:10.1080/10986060802229675 · Cited by 1,222
Functions, Graphs, and Graphing: Tasks, Learning, and Teaching
Leinhardt, G., Zaslavsky, O., & Stein, M. K. (1990) · Review of Educational Research · doi:10.3102/00346543060001001 · Cited by 1,103
Rational Number, Ratio, and Proportion
Behr, M. J., Harel, G., Post, T., & Lesh, R. (2006) · Handbook of Research on Mathematics Teaching and Learning · doi:10.1108/978-1-60752-874-620251018 · Cited by 403
The relationship between bilingualism and the development of cognitive processes in problem-solving
Bialystok, E., & Majumder, S. (1998) · Applied Psycholinguistics · doi:10.1017/s0142716400010584 · Cited by 292
Metadata
- Authors
- Noelting, G.
- Venue
- Educational Studies in Mathematics
- Published
- 1980-05
- Volume
- 11
- Issue
- 2
- Pages
- 217-253
- ISSN
- 0013-1954 (ISSN-L)
- 1573-0816
- OpenAlex
- W2041436215
- Cited by
- 278
- References
- 20
- FWCI
- 4.78
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
