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Expressing Generality and Roots of Algebra
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Citations
Cited by
Early algebra and mathematical generalization
Carraher, D. W., Martinez, M. V., & Schliemann, A. D. (2008) · ZDM · doi:10.1007/s11858-007-0067-7 · Cited by 243
Lannin, J. K. (2005) · Mathematical Thinking and Learning · doi:10.1207/s15327833mtl0703_3 · Cited by 195
Generalization of patterns: The tension between algebraic thinking and algebraic notation
Zazkis, R., & Liljedahl, P. (2002) · Educational Studies in Mathematics · doi:10.1023/a:1020291317178 · Cited by 183
Amit, M., & Neria, D. (2008) · ZDM · doi:10.1007/s11858-007-0069-5 · Cited by 93
Recursive and explicit rules: How can we build student algebraic understanding?
Lannin, J. K., Barker, D. D., & Townsend, B. E. (2006) · The Journal of Mathematical Behavior · doi:10.1016/j.jmathb.2006.11.004 · Cited by 76
Bringing Out the Algebraic Character of Arithmetic: From Children’s Ideas to Classroom Practice
Schliemann, A. D., Carraher, D. W., & Brizuela, B. M. (2006) · doi:10.4324/9780203827192 · Cited by 75
Kieran, C. (2022) · ZDM – Mathematics Education · doi:10.1007/s11858-022-01435-6 · Cited by 68
A schematic-theoretic view of problem solving and development of algebraic thinking
Steele, D. F., & Johanning, D. I. (2004) · Educational Studies in Mathematics · doi:10.1023/b:educ.0000047054.90668.f9 · Cited by 58
Blanton, M., Isler-Baykal, I., Stroud, R., Stephens, A., Knuth, E., & Gardiner, A. M. (2019) · Educational Studies in Mathematics · doi:10.1007/s10649-019-09894-7 · Cited by 46
Generalizations of third and fifth graders within a functional approach to early algebra
Pinto, E., & Cañadas, M. C. (2021) · Mathematics Education Research Journal · doi:10.1007/s13394-019-00300-2 · Cited by 61
“This result could be explained by authors who argue that young students are naturally predisposed to perceiving regularities and generalizing, even when they are unable to represent these processes clearly (Mason 1996).”
BackgroundEl Mouhayar, R. R., & Jurdak, M. E. (2013) · Educational Studies in Mathematics · doi:10.1007/s10649-012-9434-6 · Cited by 40
Yeşildere İmre, S., & Akkoç, H. (2012) · Journal of Mathematics Teacher Education · doi:10.1007/s10857-012-9203-6 · Cited by 33
Pittalis, M., Pitta-Pantazi, D., & Christou, C. (2020) · Journal for Research in Mathematics Education · doi:10.5951/jresematheduc-2020-0164 · Cited by 57
Generalization in fifth graders within a functional approach
Pinto, E., & Cañadas, M. C. (2018) · PNA. Revista de Investigación en Didáctica de la Matemática · doi:10.30827/pna.v12i3.6643 · Cited by 18
“According to some researchers, generalization is the key element in algebra (e.g., Mason, 1996).”
Magiera, M. T., & Zambak, V. S. (2021) · International Journal of STEM Education · doi:10.1186/s40594-020-00263-y · Cited by 17
(2019) · Mathematics teacher education and development · Cited by 10
Metadata
- Authors
- Mason, J.
- Venue
- Approaches to Algebra
- Publisher
- Springer Netherlands
- Published
- 1996
- Pages
- 65-86
- OpenAlex
- W215067024
- Cited by
- 388
- References
- 0
- FWCI
- 4.60
- Type
- book chapter
- Language
- en
- Open access
- closed
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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.
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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.