An examination of pre-service mathematics teachers’ course-taking, beliefs, and preferred assessment practices
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This study uses structural equation modeling to investigate the relationships between pre-service teachers’ (PSTs’) course-taking history, beliefs about mathematics, beliefs about students’ mathematical ability, and opinions about (1) how student errors should be addressed when they occur and (2) how much emphasis should be given to various forms of assessment. The results indicate that some types of courses are strongly associated with beliefs about the nature of mathematics. Specifically, PSTs who have taken more mathematics courses are more likely to see mathematics as a set of rules. PSTs’ views about mathematics strongly predict their beliefs about who can do high-level mathematics, how they think student errors should be addressed, and which forms of assessment they think are most appropriate. Implications for teacher preparation programs are discussed.
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Studies on preservice teachers' beliefs, assessment preferences, and formative assessment in mathematics education suggest that conventional grading practices often fail to capture subtle but meaningful differences in learning and professional growth.
“Studies on preservice teachers' beliefs, assessment preferences, and formative assessment in mathematics education suggest that conventional grading practices often fail to capture subtle but meaningful differences in learning and professional growth”
From Reducing classification risk in developmental performance assessment using fuzzy logic: evidence from preservice mathematics teacher education (2026) · cites this paper as Wellberg, 2024
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Corkin, D., Ekmekci, A., & Papakonstantinou, A. (2015) · The Australian journal of teacher education · doi:10.14221/ajte.2015v40n9.3 · Cited by 19 · see citing works
Exploring Primary School Teachers’ Conceptions of “Assessment for Learning”
Rashid, R. A., & Jaidin, J. H. (2014) · International Education Studies · doi:10.5539/ies.v7n9p69 · Cited by 19 · see citing works
Liang, G., & Akiba, M. (2017) · Routledge eBooks · doi:10.4324/9781315710068-25 · Cited by 19 · see citing works
Davis, B., Towers, J., Chapman, O., Drefs, M. A., & Friesen, S. (2019) · Journal of Mathematics Teacher Education · doi:10.1007/s10857-019-09430-7 · Cited by 19 · see citing works
Teachers’ Error-handling Practices Within and Across Lesson Phases in the Mathematics Classroom
Kaufmann, O. T., Larsson, M., & Ryve, A. (2022) · International Journal of Science and Mathematics Education · doi:10.1007/s10763-022-10294-2 · Cited by 17 · see citing works
Using Students’ Assessment Mistakes and Learning Deficits to Enhance Motivation and Learning
McMillan, J. H. (2017) · Routledge eBooks · doi:10.4324/9781315650890 · Cited by 17 · see citing works
Chow, T.-C. F. (2011) · eSpace (Curtin University) · Cited by 16 · see citing works
Applying Geography in the Classroom Through Structured Discussions
Delaney, E. (1991) · Journal of Geography · doi:10.1080/00221349108979252 · Cited by 15 · see citing works
What TIMSS Tells Us about Instructional Practice in K-12 Mathematics Education
Lee, D., & Huh, Y. (2014) · Contemporary Educational Technology · doi:10.30935/cedtech/6131 · Cited by 9 · see citing works
Primary Teachers' Mathematics Beliefs, Teaching Practices and Curriculum Reform Experiences
Yates, S. M. (2006) · Flinders Academic Commons (Flinders University) · Cited by 9 · see citing works
Burroughs, N. A., & Schmidt, W. H. (2013) · Advances in mathematics education · doi:10.1007/978-94-007-6437-8_13 · Cited by 8 · see citing works
Write Is Right: Using Graphic Organizers to Improve Student Mathematical Problem Solving
Zollman, A. (2012) · Investigations in Mathematics Learning · doi:10.1080/24727466.2012.11790316 · Cited by 7 · see citing works
Graded Response Method: Does Question Type Influence the Assessment of Critical Thinking?
Fukuzawa, S., & deBraga, M. (2019) · Journal of Curriculum and Teaching · doi:10.5430/jct.v8n1p1 · Cited by 7 · see citing works
Pagiling, S. L., Palobo, M., & Mayasari, D. (2021) · Journal of Physics Conference Series · doi:10.1088/1742-6596/1806/1/012111 · Cited by 6 · see citing works
Wellberg, S. (2022) · Research in Mathematics Education · doi:10.1080/14794802.2022.2103023 · Cited by 5 · see citing works
Self-citationTeachers’ Growth Mindsets and the Differential Treatment of High- and Low-Ability StudentsPreprint
Browman, A. S., Miele, D. B., O’Dwyer, L. M., & May, S. C. (2020) · doi:10.31219/osf.io/mkh4s · Cited by 3 · see citing works
Mathematics Teaching in the 21st Century
Schmidt, W. H. (2013) · ICPSR Data Holdings · doi:10.3886/icpsr34430 · Cited by 3 · see citing works
Wellberg, S., & Evans, C. M. (2024) · Scholarworks (University of Massachusetts Amherst) · doi:10.7275/pare.1334 · Cited by 2 · see citing works
Self-citation
Flagged first, then by citations
5 of the 149 references couldn’t be matched to a known paper.
Cited by
Sorted by citations
Pikk, K., Leijen, Ä., Radišić, J., & Uibu, K. (2025) · LUMAT International Journal on Math Science and Technology Education · doi:10.31129/lumat.13.1.2504 · Cited by 7 · see citing works
Pre-service teacher's beliefs in mathematics: A systematic literature review 2020-2024
Afrillia, Y. M., & Purnomo, Y. W. (2025) · Primary Jurnal Pendidikan Guru Sekolah Dasar · doi:10.33578/jpfkip-v14i2.p134-148 · Cited by 4 · see citing works
Mallea, U. A., & Vera-Gajardo, A. (2025) · Cultural Studies of Science Education · doi:10.1007/s11422-025-10272-4 · Cited by 2 · see citing works
Naccache, H., & Hleiss, R. (2026) · Frontiers in Education · doi:10.3389/feduc.2026.1840093
Canlas, I. P. (2025) · International Journal of Science Education · doi:10.1080/09500693.2025.2515620
The relationship between primary school teachers’ beliefs and their mathematics teaching practices
Pikk, K., Radišić, J., Leijen, Ä., & Uibu, K. (2025) · Scandinavian Journal of Educational Research · doi:10.1080/00313831.2025.2587962
Niveles de autoeficacia matemática y diferencias por género en futuros docentes de primaria
Santana, H. H., & Solís, Á. P. (2026) · Revista de Investigación y Evaluación Educativa · doi:10.47554/revie.vol13.num1.2026.pp97-114
Hasanah, L., Azizah, I. N., & Choirudin, C. (2026) · NUMERICAL Jurnal Matematika dan Pendidikan Matematika · doi:10.25217/numerical.v10i1.7546
Shixing, G., & Setambah, M. A. B. (2026) · Multidisciplinary Reviews · doi:10.31893/multirev.2026589
Vergara, C. R. (2026) · International Journal of ADVANCED AND APPLIED SCIENCES · doi:10.21833/ijaas.2026.07.025
- Authors
- Wellberg, S.
- Affiliations
- University of Virginia (US)
- Corresponding author
- Wellberg, Sarah
- ORCID
- Wellberg, Sarah
- Venue
- Journal of Mathematics Teacher Education
- Published
- 2024-06-18
- Volume
- 28
- Issue
- 7
- Pages
- 1567-1606
- ISSN
- 1386-4416 (ISSN-L)
- 1573-1820
- OpenAlex
- W4399786236
- Cited by
- 10
- References
- 149
- Citations by year
- 2026: 5 · 2025: 5
- FWCI
- 12.64
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Locations
- Journal of Mathematics Teacher Education (publishedVersion, cc-by)
- Topics
- Social Sciences › Education › Mathematics Education and Teaching Techniques
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Education, Achievement, and Giftedness
- Social Sciences › Education › Teacher Education and Leadership Studies
- Keywords
- pre-service mathematics teachers, mathematics beliefs, student errors, assessment practices, teacher education curriculum, nature of mathematics, mathematics teacher education
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.
What counts as a claim ›How we measure confidence ›How we check this ›
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