Examining preservice teachers' descriptions of the Standards for Mathematical Practice

Authors

Keywords:

Preservice teachers, Standards for Mathematical Practice, CCSSM

Abstract

The widespread adoption of the Standards for Mathematical Practice (SMPs) in state K-12 mathematics standards implies preservice teachers (PST) must understand these standards to be prepared, beginner teachers. To date, limited research has investigated PST understanding of the SMPs. This paper shares a study that examined which components of the Common Core SMP descriptions PSTs attended to in their own descriptions of the SMPs. Study findings indicate PSTs focused on broad overarching ideas or specific actions involved in SMP engagement depending on which SMP they were describing. Implications for teacher educators and standards authors are discussed.

References

Association of Mathematics Teacher Educators. (2017). Standards for Preparing Teachers of Mathematics. [https://amte.net/standards](https://amte.net/standards)

Baldinger, E. (2014). Studying abstract algebra to teach high school algebra: Investigating future teachers’ development of mathematical knowledge for teaching [Doctoral dissertation, Stanford University].

Baldinger, E. (2015). Pre-service secondary teachers learning to engage in mathematical practices. North American Chapter of the International Group for the Psychology of Mathematics Education, 608–615.

Ball, D. L. (2000). Bridging practices: Intertwining content and pedagogy in teaching and learning to teach. Journal of Teacher Education, 51(3), 241–247. [https://doi.org/10.1177/0022487100051003013](https://doi.org/10.1177/0022487100051003013)

Bleiler, S. K., Baxter, W. A., Stephens, D. C., & Barlow, A. T. (2015). Constructing meaning: Standards for mathematical practice. Teaching Children Mathematics, 21(6), 336–344. [https://doi.org/10.5951/teacchilmath.21.6.0336](https://doi.org/10.5951/teacchilmath.21.6.0336)

Bostic, J., & Matney, G. T. (2014). Role-playing the Standards for Mathematical Practice: A professional development tool. NCSM Journal, 3–10.

Colen, J. (2019). Elementary school teachers’ conceptions of The Common Core State Standards for Mathematical Practice [Doctoral dissertation, The Pennsylvania State University].

Conference Board of the Mathematical Sciences. (2012). The mathematical education of teachers II (Vol. 17). American Mathematical Society.

Disney, A., & Eisenreich, H. (2021). Developing PSTs’ understanding of the mathematical practices. Proceedings of the 48th Annual Meeting of the Research Council on Mathematics Learning, 35–42.

Dykema, K., Knighten, L., & Martin, K. (2024). High School Mathematics Reimagined, Revitalized, and Relevant. National Council of Teachers of Mathematics.

Garfunkel, S. A., Montgomery, M., Consortium for Mathematics and Its Applications (U.S.), & National Council of Teachers of Mathematics. (2016). GAIMME: Guidelines for assessment & instruction in mathematical modeling education. [http://www.siam.org/reports/gaimme-full_color_for_online_viewing.pdf](http://www.siam.org/reports/gaimme-full_color_for_online_viewing.pdf)

Jung, H., & Newton, J. A. (2018). Preservice mathematics teachers’ conceptions and enactments of modeling standards. School Science and Mathematics, 118(5), 169–178. [https://doi.org/10.1111/ssm.12275](https://doi.org/10.1111/ssm.12275)

Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding It up: Helping children learn mathematics. National Academy Press.

Marshall, C., & Rossman, G. B. (2016). Designing qualitative research (6th ed.). SAGE Publications.

Matney, G., Roberts, A. C., Bostic, J., & Roberts, T. (2025). Assessing teacher candidate knowledge of the mathematical practices. School Science and Mathematics. [https://doi.org/10.1111/ssm.18327](https://doi.org/10.1111/ssm.18327)

Max, B., & Welder, R. M. (2020). Mathematics teacher educators’ addressing the common core standards for mathematical practice in content courses for prospective elementary teachers: A focus on critiquing the reasoning of others. The Mathematics Enthusiast, 17(2 & 3), 843–881.

Nardi, E., Biza, I., & Zachariades, T. (2012). ‘Warrant’ revisited: Integrating mathematics teachers’ pedagogical and epistemological considerations into Toulmin’s model for argumentation. Educational Studies in Mathematics, 79(2), 157–173. [https://doi.org/10.1007/s10649-011-9345-y](https://doi.org/10.1007/s10649-011-9345-y)

National Council of Teachers of Mathematics. (2014). Principles to actions: Ensuring mathematical success for all.

National Governors Association for Best Practices. (2010). Common Core State Standards Mathematics. National Governors Association for Best Practices, CCSSO. [http://www.corestandards.org/wp-content/uploads/Math_Standards.pdf](http://www.corestandards.org/wp-content/uploads/Math_Standards.pdf)

Olson, T. A., Olson, M., & Capen, S. (2014). The Common Core standards for mathematical practice: Teachers’ initial perceptions and implementation considerations. NCSM Journal, 11.

Seaman, C. E., & Szydlik, J. E. (2007). Mathematical sophistication among preservice elementary teachers. Journal of Mathematics Teacher Education, 10(3), 167–182. [https://doi.org/10.1007/s10857-007-9033-0](https://doi.org/10.1007/s10857-007-9033-0)

Shelton, R. N., Kerschen, K., & Wilkerson, T. L. (2020). Investigating teachers’ understanding of mathematical practices and mathematics teaching practices using a vignette activity sequence in a professional development setting. School-University Partnerships, 13(2), 37–45.

Son, J.-W., & Lee, M. Y. (2021). Exploring the relationship between preservice teachers’ conceptions of problem solving and their problem-solving performances. International Journal of Science and Mathematics Education, 19(1), 129–150. [https://doi.org/10.1007/s10763-019-10045-w](https://doi.org/10.1007/s10763-019-10045-w)

Stoddard, E. (2022). Learning about the Standards for Mathematical Practice: An investigation of opportunities within two teacher education contexts. [Dissertation]. Oregon State University.

Stohlmann, M., Maiorca, C., & Olson, T. A. (2015). Preservice secondary teachers’ conceptions from a mathematical modeling activity and connections to the Common Core State Standards. The Mathematics Educator, 24(1), 21–43.

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Published

2025-05-31

How to Cite

Elyssa Stoddard. (2025). Examining preservice teachers’ descriptions of the Standards for Mathematical Practice. hio ournal of chool athematics, 99(1), 19–29. etrieved from http://voyager.janeway.systems:9999/index.php/OJSM/article/view/10455

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