Research

  • Álvarez, J.A.M., Jorgensen, T., & Beach, J. (2022). Probing Prospective Secondary Mathematics Teachers’ Understanding of Visual Representations of Function Transformations: A Multiple Scripting Task Approach. In Fernández, C., Llinares, S., Gutiérrez, A., & Planas, N. (Eds.). Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 3-10). Alicante, Spain: PME.
  • Beach, J. M. (2020). Examining the Concept Images of Function Held by Preservice Secondary Mathematics Teachers with Varying Levels of Prior Mathematical Experience. [Doctoral Dissertation]. The University of Texas at Arlington.
  • Álvarez, J.A.M., Rhoads, K., & Jorgensen, T. (2020). Mathematics teacher educators learning from efforts to facilitate the learning of key mathematics concepts while modelling evidence-based teaching practice. In K. Beswick & O. Chapman (Eds.), The International Handbook of Mathematics Teacher Education: Volume 4 (2nd Ed.) (pp. 305-341). Koninklijke Brill NV, Leiden.
  • Beach, J., Álvarez, J.A.M., & Jorgensen, T. (2020). Mathematics Teacher Preparation Standards in a Research-based Mathematics Course for Prospective Secondary Mathematics Teachers: Exploring Student Experiences and Curriculum Writers’ Perspectives. Issues in the Undergraduate Mathematics Preparation of School Teachers Journal. Vol 1 (Content Knowledge), April 2020 [www.k-12prep.math.ttu.edu]
  • Beach, J. & Álvarez, J.A.M. (2020). A preservice teacher’s emerging concept image of function: The case of Sofia. In S. Karunakaran, Z. Reed, & A. Higgins (Eds.). Proceedings of the 23rd Annual Conference on Research in Undergraduate Mathematics Education (pp. 37-44). Boston, MA: RUME.
  • Beach, J., Álvarez, J. A. M. & Jorgensen, T. (2019). Using a Scripting Task to Probe Preservice Secondary Mathematics Teachers’ Understanding of Function and Equation. In A. Weinberg, D. Moore-Russo, H. Soto, & M. Wawro (Eds.). Proceedings of the 22nd Annual Conference on Research in Undergraduate Mathematics Education (pp. 1127-1128). Oklahoma City, OK: RUME.
  • Beach, J., Álvarez, J. A. M., Jorgensen, T., & Rhoads, K. (2018). Features of tasks and instructor actions that promote preservice secondary mathematics teachers’ understanding of functions. In A. Weinberg, C. Rasmussen, J. Rabin, M. Wawro, & S. Brown (Eds.). Proceedings of the 21st Annual Conference on Research in Undergraduate Mathematics Education (pp. 1605-1606). San Diego, CA: RUME.
  • Álvarez, J. A. M., Jorgensen, T. A. & Rhoads, K. (2018). Identifying subtleties in preservice secondary mathematics teachers’ distinctions between functions and equations. In A. Weinberg, C. Rasmussen, J. Rabin, M. Wawro, & S. Brown (Eds.). Proceedings of the 21st Annual Conference on Research in Undergraduate Mathematics Education (pp. 1562-1567). San Diego, CA: RUME.
  • Rhoads, K., Jorgensen, T. & Álvarez, J. A. M. (2018). Resolving cognitive conflicts about functions: Preservice secondary mathematics teachers’ interactions with tasks. In E. Bergqvist, M. Österholm, C. Granberg, & L. Sumpter (Eds.). Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education (vol. 5, pp. 147). Umeå, Sweden: PME.