Assessing Measures of Mathematical Knowledge for Teaching: A Validity Argument Approach
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Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The reflection prompts were developed in alignment with prior work to invite PMTs to reflect on MKT in the six subdomains.
“We developed the prompts in alignment with Gonz alez et al. (2020), Schilling and Hill (2007), and Özgün-Koca et al. (2020).”
From Preservice teachers' mathematical knowledge for teaching: Focus on lesson planning and reflection (2024) · cites this paper as Schilling and Hill (2007)
The PMTs included some teacher actions by anticipating students' potential reasoning, a SCK descriptor.
“However, the PMTs included some teacher actions by “anticipating students' potential reasoning,” a SCK descriptor (Hill et al., 2005;Schilling & Hill, 2007).”
From Preservice teachers' mathematical knowledge for teaching: Focus on lesson planning and reflection (2024) · cites this paper as Schilling & Hill, 2007
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Preservice teachers' mathematical knowledge for teaching: Focus on lesson planning and reflection
Sapkota, B., & Hayes, A. H. (2024) · School Science and Mathematics · doi:10.1111/ssm.12644 · Cited by 6 · see citing works
- Authors
- Schilling, S. G., & Hill, H. C.
- Affiliations
- University of Michigan (US)
- Harvard University (US)
- Corresponding author
- Schilling, Stephen G.
- ORCID
- Hill, Heather C.
- Venue
- Measurement: Interdisciplinary Research and Perspectives
- Publisher
- Informa UK Limited
- Published
- 2007-08-01
- Volume
- 5
- Issue
- 2-3
- Pages
- 70-80
- ISSN
- 1536-6359 (ISSN-L)
- 1536-6367
- OpenAlex
- W2044365464
- Cited by
- 71
- References
- 0
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 3 · 2023: 1 · 2022: 2 · 2021: 3 · 2020: 3 · 2019: 6 · 2018: 5 · 2017: 4 · 2016: 5 · 2015: 3 · 2013: 11 · 2012: 10
- FWCI
- 11.79
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Measurement Interdisciplinary Research and Perspectives (publishedVersion)
- Funders
- National Science Foundation
- Topics
- Social Sciences › Education › Mathematics Education and Teaching Techniques
- Social Sciences › Education › Teacher Education and Assessments
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Keywords
- mathematical knowledge for teaching, validity argument, validity evidence, 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.
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