The DOI matches its Crossref record; 39 of the 39 references it cites were found in a registry or an index.
Generating procedural and conceptual knowledge of fractions by pre-service teachers
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“In preservice mathematics teacher education, this problem is especially visible because candidates frequently show uneven profiles across content knowledge, task design, instructional reasoning, and responsive teaching”
From Reducing classification risk in developmental performance assessment using fuzzy logic: evidence from preservice mathematics teacher education (2026) · cites this paper as Chinnappan and Forrester, 2014
Citations
Cites
The Measurement of Observer Agreement for Categorical Data
Landis, J. R., & Koch, G. G. (1977) · Biometrics · doi:10.2307/2529310 · Cited by 81,148
Research Design: Qualitative, Quantitative, and Mixed Methods Approaches
Creswell, J. W. (1994) · Cited by 35,204
Research design: qualitative, quantitative, and mixed methods approaches
Caldas, M. P. (2003) · Revista de Administração Contemporânea · doi:10.1590/s1415-65552003000100015 · Cited by 18,745
Those Who Understand: Knowledge Growth in Teaching
SHULMAN, L. S. (1986) · Educational Researcher · doi:10.3102/0013189x015002004 · Cited by 18,546
Handbook of research on mathematics teaching and learning
(1992) · Choice Reviews Online · doi:10.5860/choice.30-2122 · Cited by 6,121
Content Knowledge for Teaching: What Makes It Special?
Loewenberg Ball, D., Thames, M. H., & Phelps, G. (2008) · Journal of Teacher Education · doi:10.1177/0022487108324554 · Cited by 5,388
Second Handbook of Research on Mathematics Teaching and Learning.
Lester, F. (2007) · Cited by 3,090
Journal for Research in Mathematics Education
(2023) · Journal for Research in Mathematics Education · doi:10.5951/jresematheduc · Cited by 2,764
Twycross, A. (2004) · Nurse Researcher · doi:10.7748/nr.12.1.82.s2 · Cited by 2,031
(1999) · Choice Reviews Online · doi:10.5860/choice.37-2294 · Cited by 1,829
Hill, H. C., Ball, D. L., & Schilling, S. G. (2008) · Journal for Research in Mathematics Education · doi:10.5951/jresematheduc.39.4.0372 · Cited by 1,679
Ma, L., & Ma, L. (1999) · Routledge eBooks · doi:10.4324/9781410602589 · Cited by 1,342
Developing conceptual understanding and procedural skill in mathematics: An iterative process.
Rittle-Johnson, B., Siegler, R. S., & Alibali, M. W. (2001) · Journal of Educational Psychology · doi:10.1037/0022-0663.93.2.346 · Cited by 1,075
Relational Understanding and Instrumental Understanding
Skemp, R. R. (2006) · Mathematics Teaching in the Middle School · doi:10.5951/mtms.12.2.0088 · Cited by 983
The Mathematical Understandings That Prospective Teachers Bring to Teacher Education
Ball, D. L. (1990) · The Elementary School Journal · doi:10.1086/461626 · Cited by 911
Ball, D. L., Hill, H. C., & Bass, H. (2005) · Digital Access to Scholarship at Harvard (DASH) (Harvard University) · Cited by 717
Conceptual and procedural knowledge of mathematics: Does one lead to the other?
Rittle‐Johnson, B., & Alibali, M. W. (1999) · Journal of Educational Psychology · doi:10.1037//0022-0663.91.1.175 · Cited by 613
The Australian Mathematics Teacher
(1945) · The Mathematical Gazette · doi:10.1017/s0025557200205354 · Cited by 434
Tirosh, D. (2000) · Journal for Research in Mathematics Education · doi:10.2307/749817 · Cited by 391
An Alternative Reconceptualization of Procedural and Conceptual Knowledge.
Baroody, A. J., Feil, Y. C., & Johnson, A. R. (2007) · Journal for Research in Mathematics Education · doi:10.2307/30034952 · Cited by 276
An Extensive Analysis of Preservice Elementary Teachers’ Knowledge of Fractions
Newton, K. J. (2008) · American Educational Research Journal · doi:10.3102/0002831208320851 · Cited by 201
The developmental relations between conceptual and procedural knowledge: A multimethod approach.
Schneider, M., & Stern, E. (2010) · Developmental Psychology · doi:10.1037/a0016701 · Cited by 188
Appreciating mathematical structure for all
Mason, J. H., Stephens, M., & Watson, A. (2009) · Mathematics Education Research Journal · doi:10.1007/bf03217543 · Cited by 177
Preservice Elementary Teachers' Conceptual and Procedural Knowledge of Mean, Median, and Mode
Groth, R. E., & Bergner, J. A. (2006) · Mathematical Thinking and Learning · doi:10.1207/s15327833mtl0801_3 · Cited by 171
Sparrow, L., Kissane, B. V., & Hurst, C. (2010) · Murdoch University Research Portal · Cited by 166
The array representation and primary children’s understanding and reasoning in multiplication
Barmby, P., Harries, T., Higgins, S., & Suggate, J. (2008) · Educational Studies in Mathematics · doi:10.1007/s10649-008-9145-1 · Cited by 148
Individual differences in conceptual and procedural knowledge when learning fractions.
Hallett, D., Nuñes, T., & Bryant, P. (2010) · Journal of Educational Psychology · doi:10.1037/a0017486 · Cited by 148
Booker, G. (2004) · Griffith Research Online · Cited by 119
Mack, N. K. (2001) · Journal for Research in Mathematics Education · doi:10.2307/749828 · Cited by 117
National numeracy review report
Stanley, G. V. (2008) · Cited by 95
Knowledge of future primary teachers for teaching mathematics: an international comparative study
Senk, S. L., Tatto, M. T., Reckase, M. D., Rowley, G., Peck, R., & Банков, К. (2012) · ZDM · doi:10.1007/s11858-012-0400-7 · Cited by 68
Teacher knowledge as fundamental to effective teaching practice
Walshaw, M. (2012) · Journal of Mathematics Teacher Education · doi:10.1007/s10857-012-9217-0 · Cited by 53
Knowledge of Future Primary Teachers for Teaching Mathematics: An International Comparative Study
Senk, S. L., Tatto, M. T., Reckase, M. D., ROWLEY, G. L., Peck, R., & Банков, К. (2013) · Advances in mathematics education · doi:10.1007/978-94-007-6437-8_4 · Cited by 38
Professional Knowledge of Practising Teachers of Mathematics
Bobis, J., Higgins, J., Cavanagh, M., & Roche, A. (2012) · SensePublishers eBooks · doi:10.1007/978-94-6091-970-1_15 · Cited by 22
Stretching student teachers’ understanding of fractions
Harvey, R. (2012) · Mathematics Education Research Journal · doi:10.1007/s13394-012-0050-7 · Cited by 20
Managing Cognitive Load in the Mathematics Classroom
Chinnappan, M., & Chandler, P. (2010) · Research Online (University of Wollongong) · Cited by 13
Self-citationAspects of teachers' knowledge for helping students learn about ratio
Chick, H. (2010) · eCite Digital Repository (University of Tasmania) · Cited by 10
Wallace, J. P. (2009) · Canadian Journal of Science Mathematics and Technology Education · doi:10.1080/14926150902853337 · Cited by 9
Popham, W. J. (1975) · Educational Researcher · doi:10.3102/0013189x004003004 · Cited by 3
Research works printed but not linked: 5
- Board of Studies NSW. (2002). Mathematics K-6: syllabus 2002. Sydney: Author.
- Board of Studies NSW. (2003). Mathematics years 7–10 syllabus. Sydney: Author.
- Flores, A. (2002). Profound understanding of division of fractions. In B. Litwiller & G. Bright (Eds.), NCTM handbook: Making sense of fractions, ratios and proportions (pp. 237–246). Reston: National Council of Teachers of Mathematics.
- NSW Department of Education and Training. (2003). Fractions, pikelets and lamingtons. Ryde: Author.
- Siebert, D. (2002). Connecting informal thinking and algorithms: the case of division of fractions. In B. Litwiller & G. Bright (Eds.), NCTM yearbook: Making sense of fractions, ratios and proportions (pp. 247–256). Reston: National Council of Teachers of Mathematics.
Cited by
Naccache, H., & Hleiss, R. (2026) · Frontiers in Education · doi:10.3389/feduc.2026.1840093
Metadata
- Authors
- Chinnappan, M., & Forrester, T.
- Affiliations
- University of South Australia (AU)
- University of Wollongong (AU)
- Corresponding author
- Chinnappan, Mohan
- ORCID
- Chinnappan, Mohan
- Venue
- Mathematics Education Research Journal
- Published
- 2014-07-15
- Volume
- 26
- Issue
- 4
- Pages
- 871-896
- ISSN
- 1033-2170 (ISSN-L)
- 2211-050X
- OpenAlex
- W1976970228
- Cited by
- 58
- References
- 39
- Citations by year
- 2026: 3 · 2025: 1 · 2024: 5 · 2023: 2 · 2022: 7 · 2021: 8 · 2020: 6 · 2019: 4 · 2018: 10 · 2017: 7 · 2016: 4 · 2015: 1
- FWCI
- 20.55
- Type
- journal article
- Language
- en
- Open access
- green
- hdl.handle.net
- Licence
- other-oa
- www.springer.com/tdm (tdm)
- Locations
- Mathematics Education Research Journal (publishedVersion)
- Research Online (University of Wollongong) (submittedVersion)
- Adelaide Research & Scholarship (AR&S) (University of Adelaide) (submittedVersion, other-oa)
- Figshare (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
- fractions, pre-service teachers, procedural knowledge, conceptual knowledge, content knowledge, pedagogical content knowledge, teaching and learning approaches, teacher professional development, numeracy
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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.