Publications

Journal Articles

  • Fonger, N. L., Stephens, A., Blanton, M., Isler, I., Knuth, E., Gardiner, A. (2018). Developing a learning progression for curriculum, instruction, and student learning: An example from mathematics education. Cognition and Instruction, 36(1), 30-55.
  • Stephens, A., Fonger, N., Strachota, S., Isler, I., Blanton, M., Knuth, E., & Gardiner, A. (2017).  A Learning Progression for Elementary Students’ Functional Thinking. Mathematical Thinking and Learning, 19(3), 143-166.
  • Blanton, M., Stephens, A., Knuth, E., Gardiner, A., Isler, I., & Kim, J. (2015). The Development of Children’s Algebraic Thinking: The Impact of a Comprehensive Early Algebra Intervention in Third Grade. Journal for Research in Mathematics Education, 46(1), 39-87.
  • Isler, I., Marum, T., Stephens, A., Blanton, M., Knuth, E., & Gardiner, A. (2014/2015). The string task: Not just for high school. Teaching Children Mathematics, 21 (5), 282-292.
  • Stephens, A., Blanton, M., Knuth, E., Isler, I., & Gardiner, A. (2015) Just say YES to early algebra! Teaching Children Mathematics, 22(2), 92–101.
  • Stephens, A. C., Knuth, E. J., Blanton, M. L., Isler, I., Gardiner, A., & Marum, T. (2013).  Equation structure and the meaning of the equal sign: The impact of task selection in eliciting elementary students’ understandings. Journal of Mathematical Behavior, 32(2), 173-182.

Book Chapter

  • Blanton, M., Brizuela, B., Stephens, A., Knuth, E., Isler, I., Gardiner, A., Stroud, R., Fonger, N., & Stylianou, D. (2018). Implementing a Framework for Early Algebra. In: C. Kieran C. (Ed.), Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds: The Global Evolution of an Emerging Field of Research and Practice ICME-13 Monographs (pp. 27-49). Cham, Switzerland: Springer International Publishing.

Conference Proceedings

  • Alapala, B. & Isler-Baykal, I. (2018). Elementary pre-service mathematics teachers’ conceptions of algebra. 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, p. 6). Umeå, Sweden: PME
  • Çelikdemir, K., Kaplan, G., İşler, I. & Çakıroğlu, E. (2017). Matematik performansında 4. sınıftan 8. sınıfa olan değişimler: TIMSS türkiye verilerinin başarı ve bilişsel derinlik açısından incelenmesi. Türk Bilgisayar ve Matematik Eğitimi Sempozyumu-3 Bildiri Özetleri, (ss. 526 – 528), Afyon, Türkiye.
  • Isler, I., Strachota, S., Stephens, A., Fonger, N., Blanton, M., Gardiner, A., & Knuth, E. (2017). Grade 6 students’ abilities to represent function rules. In Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education (pp. 432 – 439). Dublin, Ireland: DCU Institute of Education and ERME.
  • Haser, Ç. & İşler, I. (2017). Tracing mathematics-related belief change in teacher education programs. In Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education (pp. 1106 – 1113). Dublin, Ireland: DCU Institute of Education and ERME.
  • Prough, S., Strachota, S., Veltri, R., Isler, I., Blanton, M., Gardiner, A., Knuth, E., & Stephens, A. (2017). Fostering Generalizations: a classroom discourse analysis. Paper presented at 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics (p. 287 – 290). Indianapolis, IN: Purdue University.
  • Stephens, A., Strachota, S., Knuth, E., Blanton, M., Isler, I., & Gardiner, A. (2017). The interplay between students’ understandings of proportional and functional relationships. Paper presented at 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics (p. 251-258). Indianapolis, IN: Purdue University.
  • Strachota, S., Isler, I., Fonger, N., Blanton, M., & Gardiner, A. M. (2016). Analyzing Generalizations Through Discourse. Poster presented at 38th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (p. 213). Tucson, AZ.
  • Strachota, S., Isler, I., Kang, H. (2015). Arithmetic Properties as a Route into Algebraic Reasoning. Poster presented at the 37th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (p. 263). East Lansing, MI: Michigan State University.
  • Isler, I., Blanton, M., Gardiner, A., Knuth, E., Stephens, A., Kang, H. (2014). A comparison of elementary and middle grades students’ algebraic reasoning. Proceedings of the Joint Meeting of PME 38 and PME-NA 36 (Vol. 6, pp. 110). Vancouver, Canada.
  •  Isler, I., Stephens, A., Gardiner, A., Knuth, E., & Blanton, M. (2013). Third-graders’ generalizations about even numbers and odd numbers: The impact of an early algebra intervention. Proceedings of the Thirty-Fifth Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 140-143). Chicago, IL.
  •  Isler, I. & Knuth, E. (2013). Preservice teachers’ conceptions of algebra and knowledge of student thinking. Proceedings of the Thirty-Seventh Annual Conference of the International Group for the Psychology of Mathematics Education (Vol. 5, pp. 77). Kiel, Germany.
  • Stephens, A., Isler, I., Marum, T., Blanton, M., Knuth, E., & Gardiner, A. (2012). From recursive pattern to correspondence rule: Developing students’ abilities to engage in functional thinking. Proceedings of the Thirty-Fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 821-828). Kalamazoo, MI.
  • Marum, T., Isler, I., Stephens, A., Gardiner, A., Blanton, M., Knuth, E. (2011). From specific value to variable: Developing students’ abilities to represent unknowns. Proceedings of the Thirty-Third Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 106-113). Reno, NV.
  •  Isler, I. & Isiksal, M. (2010). Developing Preservice Teachers Knowledge on Patterns: Creative Drama as an Alternative Approach. Proceedings of the Thirty-Fourth Annual Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 47). Belo Horizonte, Brazil.
  •  Isler, I. & Cakiroglu, E. (2009). Teachers’ efficacy beliefs and perceptions regarding the implementation of new primary mathematics curriculum. Proceedings of the Sixth Congress of European Research in Mathematics Education (pp. 1704-1713). Lyon, France.