Keeping Modeling with Mathematics as the Focus in Authentic Tasks

Authors

Keywords:

Mathematical modeling, teacher education, PK-5 mathematics

Abstract

Modeling with mathematics is essential in connecting mathematics to everyday life. In the preparation of teacher candidates, it becomes a mechanism to support the learning of mathematics as well as strengthening pedagogical approaches. This article focuses on a task that engaged teacher candidates in modeling with mathematics. After analyzing how teacher candidates solved problems, we categorized their methods into three categories of approaches. The alignment of the modeling task to the elementary mathe- matics curriculum is highlighted. Benefits of engaging teacher candidates in these types of tasks are also discussed.

Author Biographies

Ryan Griesmer, Bowling Green State University

Ryan Griesmer graduated from Bowling Green State University in 2023 with a degree in secondary mathematics education. Ryan is passion- ate about fostering positivity and advancing education through in- novative teaching methods. In addition to his academic interests, he is an avid runner who believes in maintaining a balanced and active lifestyle. His dedication to education and personal growth reflects his commitment to inspiring the next generation of learners.

Stefanie D. Livers, Bowling Green State University

Stefanie D. Livers is an Assistant Professor of Inclusive PK-5 STEAM in the School of Inclusive Teach- er Education at Bowling Green State University. A former elementary teacher and instructional coach, Dr. Livers’ research agenda focuses on teacher preparation, teacher sup- port, and equitable teacher practices. She is a National Board Certified Teacher who continues to work with schools and districts im- plementing cognitively demanding tasks and fostering equitable and just mathematical practices.

Thomas Roberts, Bowling Green State University

Thomas Roberts is an Associate Professor and PK-5 Co-Coordinator at the School of Inclusive Teacher Education at Bowling Green State University. Dr. Roberts’ research interests focus on STEM education, informal learning environments, and equity in educational outcomes. His work aims to bridge the gap between theory and practice, fostering inclusive and effective educational practices.

References

Ball, D. L., & Bass, H. (2000). Interweaving content and pedagogy in teaching and learning to teach: Knowing and using mathematics. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 83–104). Ablex Publishing.

Bezuk, N., Bay-Williams, J., Clements, D. H., Martin, W. G., Aguirre, J., Boerst, T., & Thomas, C. D. (2017). AMTE standards for mathematics teacher preparation.

Bostic, J. D. (2015). A blizzard of a value. Mathematics Teaching in the Middle School, 20(6), 350–357. https://doi.org/10.5951/mathteacmiddscho.20.6.0350

Bostic, J. D., Matney, G. T., & Sondergeld, T. A. (2017). A validation process for observation protocols: Using the revised SMPS look-for protocol as a lens on teachers’ promotion of the standards. Investigations in Mathematics Learning, 11(1), 69–82. https://doi.org/10.1080/19477503.2017.1379894

Chamberlin, S., Payne, A. M., & Kettler, T. (2020). Mathematical modeling: A positive learning approach to facilitate student sense making in mathematics. International Journal of Mathematical Education in Science and Technology, 53(4), 858–871.

de Araujo, Z. (2012). An examination of non-mathematical activities in the mathematics classroom. In Proceedings of the 34th annual meeting for the North American chapter for the Psychology of Mathematics Education (pp. 339–342). Kalamazoo, MI: Western Michigan University.

Greenhaus, K. (2016, May 24). Multiple entry points and rich math tasks. Casio Education. https://casioeducation.wordpress.com/2016/05/24/ multiple-entry-points-and-rich-math-tasks/

National Governors Association Center for Best Practices (NGA Center) and Council of Chief State School Officers (CCSSO). (2010). Common Core State Standards for Mathematics. Washington, DC: NGA Center and CCSSO. http://www.corestandards.org

Roberts, T., Bostic, J. D., & Matney, G. T. (2020). GPS: Modeling with mathematics in the moment. Mathematics Teacher: Learning and Teaching PK-12, 113(10), 864–867. https://doi.org/10.5951/mtlt.2020.0099

Sevinc, S., & Lesh, R. (2018). Training mathematics teachers for realistic math problems: a case of modeling-based teacher education courses. ZDM, 50, 301–314.

Swars, S. L., Smith, S. Z., Smith, M. E., & Hart, L. C. (2009). A longitudinal study of effects of a developmental teacher preparation program on elementary prospective teachers’ mathematics beliefs. Journal of Mathematics Teacher Education, 12, 47–66.

Wolf, N. B., & Ray-Riek, M. (2015). Modeling with mathematics: Authentic Problem Solving in middle school. Heinemann.

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Published

2024-07-02

How to Cite

Griesmer, R., Livers, S. D., & Roberts, T. (2024). Keeping Modeling with Mathematics as the Focus in Authentic Tasks. hio ournal of chool athematics, 97(1), 1–11. etrieved from http://voyager.janeway.systems:9999/index.php/OJSM/article/view/9770

Issue

Vol. 97: Summer 2024

Section

Articles

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