The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
On Some Necessary Conditions of Learning
Abstract
The purpose of this article is to identify some necessary conditions of learning. To learn something, the learner must discern what is to be learned (the object of learning). Discerning the object of learning amounts to discerning its critical aspects. To discern an aspect, the learner must experience potential alternatives, that is, variation in a dimension corresponding to that aspect, against the background of invariance in other aspects of the same object of learning. (One could not discern the color of things, for instance, if there was only one color.) The study results illustrate that what students learn in a sequence of lessons is indeed a function of the pattern of variation and invariance constituted in that sequence. All teachers make use of variation and invariance in their teaching, but this study shows that teachers informed by a systematic framework do it more systematically, with striking effects on their students' learning.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
The Ecological Approach to Visual Perception
Bornstein, M. H., & Gibson, J. J. (1980) · The Journal of Aesthetics and Art Criticism · doi:10.2307/429816 · Cited by 22,935
(1999) · Cited by 12,812
The Ecological Approach to Visual Perception: Classic Edition
Gibson, J. J. (2014) · doi:10.4324/9781315740218 · Cited by 12,132
Review of research in education
Shulman, L. S., Mowry, S., & Berliner, D. C. (1973) · F.E. Peacock eBooks · Cited by 7,754
Brown, A. L. (1992) · Journal of the Learning Sciences · doi:10.1207/s15327809jls0202_2 · Cited by 4,000
Marton, F., & Booth, S. (2013) · Routledge eBooks · doi:10.4324/9780203053690 · Cited by 3,697
Self-citationDesign Experiments in Educational Research
Cobb, P., Confrey, J., diSessa, A., Lehrer, R., & Schauble, L. (2003) · Educational Researcher · doi:10.3102/0013189x032001009 · Cited by 3,548
Design-based research: Putting a stake in the ground
Barab, S., & Squire, K. (2004) · Journal of the Learning Sciences · doi:10.1207/s15327809jls1301_1 · Cited by 2,642 · cited 1×
“…certain important commonalities with and certain important differences from design experiments, as characterized in recent discussions (see, e.g., Barab & Squire, 2004; Cobb, Confrey, diSessa, Lehrer, & Schauble, 2003; Collins, Joseph, & Bielaczyc, 2004; Kelly, 2003; Shavelson, Phillips, Towne,…”
The Teaching Gap: Best Ideas from the World's Teachers for Improving Education in the Classroom
(2000) · Journal of Curriculum Studies · doi:10.1080/00220270050167215 · Cited by 2,546
Design Research: Theoretical and Methodological Issues
Collins, A., Joseph, D., & Bielaczyc, K. (2004) · Journal of the Learning Sciences · doi:10.1207/s15327809jls1301_2 · Cited by 1,923
Cited by
Greeno, J. G., & Engeström, Y. (2014) · The Cambridge Handbook of the Learning Sciences · doi:10.1017/cbo9781139519526.009 · Cited by 493
Lobato, J., Hohensee, C., Rhodehamel, B., & Diamond, J. (2012) · Mathematical Thinking and Learning · doi:10.1080/10986065.2012.656362 · Cited by 59
Exploring capability to move – somatic grasping of house-hopping
Nyberg, G. B., & Carlgren, I. M. (2015) · Physical Education and Sport Pedagogy · doi:10.1080/17408989.2014.882893 · Cited by 31
Maclellan, E., & Soden, R. (2012) · Instructional Science · doi:10.1007/s11251-011-9183-4 · Cited by 19
Metadata
- Authors
- Marton, F., & Pang, M. F.
- Venue
- Journal of the Learning Sciences
- Publisher
- Informa UK Limited
- Published
- 2006-04
- Volume
- 15
- Issue
- 2
- Pages
- 193-220
- ISSN
- 1050-8406 (ISSN-L)
- 1532-7809
- OpenAlex
- W1986138555
- Cited by
- 431
- References
- 24
- FWCI
- 10.08
- 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.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: On Some Necessary Conditions of Learning. https://app.cochat.ai/papers/10.1207/s15327809jls1502_2
- The paper
- Marton, F., & Pang, M. F. (2006). On Some Necessary Conditions of Learning. Journal of the Learning Sciences. https://doi.org/10.1207/s15327809jls1502_2
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.