The DOI matches its Crossref record; 58 of the 61 references it cites were found in a registry or an index.
Professional Noticing of Children's Mathematical Thinking
Abstract
The construct professional noticing of children's mathematical thinking is introduced as a way to begin to unpack the in-the-moment decision making that is foundational to the complex view of teaching endorsed in national reform documents. We define this expertise as a set of interrelated skills including (a) attending to children's strategies, (b) interpreting children's understandings, and (c) deciding how to respond on the basis of children's understandings. This construct was assessed in a cross-sectional study of 131 prospective and practicing teachers, differing in the amount of experience they had with children's mathematical thinking. The findings help to characterize what this expertise entails; provide snapshots of those with varied levels of expertise; and document that, given time, this expertise can be learned.
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“Teachers who notice student thinking, that is, identify and make sense of students ' mathematical and scientific ideas and build on these ideas appropriately while making pedagogical decisions, are positioned to support reformoriented, student-centered mathematics and science instruction.”
From Prospective K-8 teachers’ noticing of student justifications and generalizations in the context of analyzing written artifacts and video-records (2021) · cites this paper as Jacobs, Lamb, & Philipp, 2010
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
National Council of Teachers of Mathematics
(1979) · Mathematics Teacher Learning and Teaching PK-12 · doi:10.5951/mt.72.8.0637 · Cited by 8,511
REMEMBERING: A STUDY IN EXPERIMENTAL AND SOCIAL PSYCHOLOGY
Bartlett, F. C., & Burt, C. (1933) · British Journal of Educational Psychology · doi:10.1111/j.2044-8279.1933.tb02913.x · Cited by 7,475
Shiffrin, R. M., & Schneider, W. (1977) · Psychological Review · doi:10.1037/0033-295x.84.2.127 · Cited by 7,335
Handbook of research on mathematics teaching and learning
(1992) · Choice Reviews Online · doi:10.5860/choice.30-2122 · Cited by 6,131
Controlled and automatic human information processing: I. Detection, search, and attention.
Schneider, W., & Shiffrin, R. M. (1977) · Psychological Review · doi:10.1037/0033-295x.84.1.1 · Cited by 5,902
Adding It Up: Helping Children Learn Mathematics
Kilpatrick, J., Swafford, J. O., & Findell, B. R. (2013) · DSpace Biblioteca Universidad de Talca (Universidad de Talca) · Cited by 4,084
Gorillas in our midst: sustained inattentional blindness for dynamic events
Simons, D. J., & Chabris, C. F. (1999) · Perception · doi:10.1068/p281059 · Cited by 3,181
Second Handbook of Research on Mathematics Teaching and Learning.
Lester, F. (2007) · Cited by 3,090
(2000) · Cited by 2,779
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Lee, Y. (2024) · Journal of Mathematics Teacher Education · doi:10.1007/s10857-023-09616-0 · Cited by 10
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Magiera, M. T., van den Kieboom, L. A., & Moyer, J. C. (2017) · e-Publications@Marquette (Marquette University) · Cited by 4
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Metadata
- Authors
- Jacobs, V. R., Lamb, L. L. C., & Philipp, R. A.
- Affiliations
- San Diego State University (US)
- ORCID
- Jacobs, Victoria R.
- Venue
- Journal for Research in Mathematics Education
- Published
- 2010-03
- Volume
- 41
- Issue
- 2
- Pages
- 169-202
- ISSN
- 0021-8251 (ISSN-L)
- 1945-2306
- OpenAlex
- W23678119
- Cited by
- 1,433
- References
- 61
- Citations by year
- 2026: 132 · 2025: 148 · 2024: 120 · 2023: 127 · 2022: 127 · 2021: 127 · 2020: 130 · 2019: 101 · 2018: 93 · 2017: 90 · 2016: 61 · 2015: 61 · 2014: 50 · 2013: 25 · 2012: 19
- FWCI
- 95.16
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal for Research in Mathematics Education (publishedVersion)
- Topics
- Social Sciences › Education › Mathematics Education and Teaching Techniques
- Social Sciences › Education › Teacher Education and Leadership Studies
- Social Sciences › Education › Mathematics Education and Pedagogy
- Keywords
- professional noticing, children's mathematical thinking, teacher expertise, pre-service teachers, experienced teachers, teacher learning, mathematics education
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