The DOI matches its Crossref record; 31 of the 31 references it cites were found in a registry or an index.
Revealing educationally critical aspects of rate
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“Researchers investigating secondary students' conceptions of function, rate, and variation have made extensive use of DCEs in their studies (e.g., Ellis et al., 2015;Herbert & Pierce, 2012;Johnson, 2012;Lobato et al., 2012;Saldanha & Thompson, 1998).”
From A link between students’ discernment of variation in unidirectional change and their use of quantitative variational reasoning (2018) · cites this paper as Herbert & Pierce, 2012
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“yet important for secondary students' study of key mathematical concepts such as function and rate (e.g., Ellis, Özgür, Kulow, Williams, & Amidon, 2015;Herbert & Pierce, 2012;Johnson, 2012;Lobato, Hohensee, Rhodehamel, & Diamond, 2012).”
From A link between students’ discernment of variation in unidirectional change and their use of quantitative variational reasoning (2018) · cites this paper as Herbert & Pierce, 2012
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Cites
Handbook of research on mathematics teaching and learning
(1992) · Choice Reviews Online · doi:10.5860/choice.30-2122 · Cited by 6,121
Marton, F., & Booth, S. (2013) · Routledge eBooks · doi:10.4324/9780203053690 · Cited by 3,697
Classroom Discourse and the Space of Learning
Marton, F., Tsui, A. B. M., Chik, P. P. M., Ko, P. Y., & Lo, M. L. (2004) · Routledge eBooks · doi:10.4324/9781410609762 · Cited by 1,048
Technology and mathematics education
Konold, C., & Lehrer, R. (2015) · Handbook of International Research in Mathematics Education · doi:10.4324/9780203930236.ch4 · Cited by 448
School Science and Mathematics 101
Flick, L. B., & Lederman, N. G. (2002) · School Science and Mathematics · doi:10.1111/j.1949-8594.2002.tb18142.x · Cited by 447
Doing developmental phenomenography
Bowden, J. A., & Green, P. (2005) · Swinburne figshare (Swinburne University of Technology) · Cited by 433
Lamon, S. J. (1999) · Cited by 410
Images of rate and operational understanding of the fundamental theorem of calculus
Thompson, P. W. (1994) · Educational Studies in Mathematics · doi:10.1007/bf01273664 · Cited by 366
Students' understanding of differentiation
Orton, A. (1983) · Educational Studies in Mathematics · doi:10.1007/bf00410540 · Cited by 337
Marton, F., Runesson, U., & Tsui, A. Β. M. (2004) · Cited by 267
Research works printed but not linked: 7
- Bell, A., & Onslow, B. (1987). Multiplicative structures: Development of the understanding of rates (intensive quantities). In J. Bergeron, N. Herscovics, & C. Kieran (Eds.), Proceedings of the 11th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 275–281). Montreal: PME.
- Bowden, J. (1994). The nature of phenomenographic research. In J. Bowden & E. Walsh (Eds.), Phenomenographic research: Variations in method (pp. 43–55). Melbourne: RMIT Publications.
- Cope, C. (2000). Educationally critical aspects of the experience of learning about the concept of an information system. Unpublished PhD thesis [On-line]. Accessed 29 January, 2010 from http://www.ironbark.bendigo.latrobe.edu.au/staff/cope/cope-thesis.pdf
- Kaput, J., & Schorr, R. (2002). Changing representational infrastructures changes most everything: The case of SimCalc, algebra & calculus. In K. Heid & G. Blume (Eds.), Research on the impact of technology on the teaching and learning of mathematics (pp. 47–75). Mahwah: Erlbaum.
- Oliveros, R., & Santos-Trigo, M. (1997). Students' cognitive approaches to the concept of rate. In J. A. Dossey, J. O. Swafford, M. Parmantie, & A. E. Dossey (Eds.), Proceedings of the Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 31–36). Bloomington-Normal: NA-PME.
- Stewart, J. (2007). Essential calculus. Pacific Grove: Brooks/Cole.
- Tall, D. (1985). Understanding the calculus. Mathematics Teaching, 110, 49–53.
Cited by
Johnson, H. L. (2015) · Educational Studies in Mathematics · doi:10.1007/s10649-014-9590-y · Cited by 58
Johnson, H. L., & McClintock, E. (2018) · Educational Studies in Mathematics · doi:10.1007/s10649-017-9799-7 · Cited by 23
“Researchers investigating secondary students ’ conceptions of function, rate, and variation have made extensive use of DCEs in their studies (e.g., Ellis et al., 2015; Herbert & Pierce, 2012; Johnson, 2012; Lobato et al., 2012; Saldanha & Thompson, 1998).”
BackgroundAyalon, M., Watson, A., & Lerman, S. (2015) · Educational Studies in Mathematics · doi:10.1007/s10649-015-9628-9 · Cited by 22
Metadata
- Authors
- Herbert, S., & Pierce, R.
- Affiliations
- Deakin University (AU)
- The University of Melbourne (AU)
- Corresponding author
- Herbert, Sandra
- Venue
- Educational Studies in Mathematics
- Published
- 2011-12-14
- Volume
- 81
- Issue
- 1
- Pages
- 85-101
- ISSN
- 0013-1954 (ISSN-L)
- 1573-0816
- OpenAlex
- W2086040051
- Cited by
- 41
- References
- 31
- Citations by year
- 2026: 1 · 2025: 4 · 2024: 3 · 2023: 2 · 2022: 4 · 2021: 2 · 2020: 6 · 2019: 3 · 2018: 5 · 2017: 3 · 2016: 1 · 2015: 4 · 2014: 1 · 2013: 2
- FWCI
- 4.62
- Type
- journal article
- Language
- en
- Open access
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Educational Studies in Mathematics (publishedVersion)
- Minerva Access (University of Melbourne) (submittedVersion)
- Topics
- Social Sciences › Education › Mathematics Education and Teaching Techniques
- Social Sciences › Education › Mathematics Education and Pedagogy
- Social Sciences › Education › Science Education and Pedagogy
- Keywords
- rate of change, phenomenography, Year 10 students, misconceptions, mathematics education, calculus readiness
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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