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The Development of Counting Strategies for Single-Digit Addition
Abstract
Over 9 months, structured clinical interviews with 17 kindergartners were used to study (a) the learning of a concrete counting strategy for addition, (b) the transition from concrete to mental counting strategies, and (c) the role of the commutativity principle in developing more economical counting strategies. Kindergartners appear to differ in their readiness to use a concrete strategy. Many children persisted in counting all with objects. The most common sequence of mental counting strategies was counting all starting with the first addend, counting all starting with the larger addend, and then counting on from the larger addend. A knowledge of commutativity does not appear to be necessary to invent counting strategies that disregard addend order.
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Citations
Cited by
Children's mathematical development: Research and practical applications.
Geary, D. C. (1994) · doi:10.1037/10163-000 · Cited by 565
The importance of number sense to mathematics achievement in first and third grades
Jordan, N. C., Glutting, J., & Ramineni, C. (2010) · Learning and Individual Differences · doi:10.1016/j.lindif.2009.07.004 · Cited by 471
Research on Whole Number Addition and Subtraction
Fuson, K. C. (2006) · Handbook of Research on Mathematics Teaching and Learning · doi:10.1108/978-1-60752-874-620251016 · Cited by 377
Calvert, S. L. (2017) · Cognitive Development in Digital Contexts · doi:10.1016/b978-0-12-809481-5.00005-5 · Cited by 29
Metadata
- Authors
- Baroody, A. J.
- Venue
- Journal for Research in Mathematics Education
- Published
- 1987-03
- Volume
- 18
- Issue
- 2
- Pages
- 141
- ISSN
- 0021-8251 (ISSN-L)
- OpenAlex
- W2064589329
- Cited by
- 205
- References
- 0
- FWCI
- 8.52
- Type
- journal article
- Language
- en
- Open access
- closed
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- Baroody, A. J. (1987). The Development of Counting Strategies for Single-Digit Addition. Journal for Research in Mathematics Education. https://doi.org/10.2307/749248
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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).
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