A cognitive gap between arithmetic and algebra
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Arithmetic is the foundation of algebra teaching despite the differences between arithmetic and algebra.
“Therefore, it is obvious that arithmetic constitutes the basis of algebra teaching despite the differences resulting from the natures of arithmetic and algebra (Herscovics & Linchevski, 1994;Kieran, 1981;Knuth, Alibali, McNeil, Weinmberg & Stephens, 2005;Knuth, Stephens, McNeil & Alibali, 2006).”
From Relational thinking: The bridge between arithmetic and algebra (2017) · cites this paper as Herscovics & Linchevski, 1994
The citation lists haven’t been fetched yet
References 16 · Cited by 364
- Authors
- Herscovics, N., & Linchevski, L.
- Affiliations
- Hebrew University of Jerusalem (IL)
- Venue
- Educational Studies in Mathematics
- Published
- 1994-07
- Volume
- 27
- Issue
- 1
- Pages
- 59-78
- ISSN
- 0013-1954 (ISSN-L)
- 1573-0816
- OpenAlex
- W1984655437
- Cited by
- 364
- References
- 16
- Citations by year
- 2026: 6 · 2025: 7 · 2024: 7 · 2023: 18 · 2022: 18 · 2021: 12 · 2020: 17 · 2019: 20 · 2018: 16 · 2017: 21 · 2016: 17 · 2015: 18 · 2014: 20 · 2013: 30 · 2012: 18
- FWCI
- 28.22
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Educational Studies in Mathematics (publishedVersion)
- Topics
- Social Sciences › Education › Mathematics Education and Teaching Techniques
- Physical Sciences › Mathematics › Applied Mathematics › Mathematics Education and Pedagogy
- Physical Sciences › Mathematics › Statistics and Probability › Cognitive and developmental aspects of mathematical skills
- Keywords
- first-degree equations, informal processes
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.
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