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INSIGHTS FROM A TEACHER PROFESSIONAL DEVELOPMENT COURSE: RONA’S CHANGING PERSPECTIVES REGARDING MATHEMATICALLY-TALENTED STUDENTS

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Abstract

This paper considers studying changes in teachers’ perspectives regarding the teaching of mathematically talented students learning in heterogeneous classes. We investigate these changes through a case study of Rona, a teacher who participated in the professional development program “From One End to the Other” held in The David Yellin College of Education, Israel. The analysis focuses on 3 categories of change: awareness, practice, and self-efficacy. The results concerning Rona, 1 of the participants, demonstrate a rise in awareness of talented students, a change in the ways of meeting the needs of these students, and a rise in self-efficacy regarding the teaching of talented students. Moreover, it was found that changes in 1 category are interwoven with changes in the other categories.

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References

  • Aitken, J. & Mildon, D. (1991). The dynamics of personal knowledge and teacher education. Curriculum Inquiry, 211, 141–162.

    Article  Google Scholar 

  • Applebaum, M., Freiman, V., & Leiken, R. (2008). Views on teaching mathematically promising students. In V. Freiman & A. Rejali (Eds.), Proceedings of Topic Study Group 6 of the 11th International Congress on Mathematical Education (pp. 69–79). Monterrey, Mexico.

  • Ball, D., Thames, M., & Phelps, G. (2008). Content knowledge for teaching. Journal of Teacher Education, 59(5), 389–407.

    Google Scholar 

  • Bandura, A. (1986). Social foundations of thought and action: A social cognitive theory. Englewood Cliffs, NJ: Prentice Hall.

    Google Scholar 

  • Bandura, A. (1997). Self-efficacy: The exercise of control. New York, NY: Freeman.

    Google Scholar 

  • Cobb, P., Wood, T., Yackel, E. & Perlwitz, M. (1992). A follow-up assessment of a second-grade problem-centered mathematics project. Educational Studies in Mathematics, 23, 483–504.

    Article  Google Scholar 

  • Diezmann, C. M. & Watters, J. J. (2000). Catering for mathematically gifted elementary students: Learning from challenging tasks. Gifted Child Today, 23(4), 14–19.

    Google Scholar 

  • Diezmann, C. & Watters, J. (2001). The collaboration of mathematically gifted students on challenging tasks. Journal for the Education of the Gifted, 25(1), 7–31.

    Google Scholar 

  • Diezmann, C. & Watters, J. (2002). Summing up the education of mathematically gifted students. In B. Barton, K. C. Irwin, M. Pfannkunch & M. J. Thomas (Eds.), Proceedings of the 25th Annual Conference of the Mathematics Education Research Group of Australasia (pp. 219–226). Auckland, New Zealand.

  • Dimitriadis, C. (2010). Developing mathematical giftedness within primary schools: A study of strategies for educating children who are gifted in mathematics. Unpublished doctoral dissertation, Brunel University, Uxbridge, London, UK.

  • Even, R. (1999). The development of teacher leaders and inservice teacher educators. Journal of Mathematics Teacher Education, 2(1), 3–24.

    Article  Google Scholar 

  • Even, R. & Karp, A. (2008). Mathematical creativity and giftedness in teacher professional development. In R. Leiken (Ed.), Proceedings of the 5th International Conference on Creativity in Mathematics and the Education of Gifted Students (pp. 441–443). Haifa, Israel.

  • Even, R., Karsenty, R. & Friedlander, A. (2009). Creativity and giftedness in teacher professional development. In R. Leikin, A. Berman & B. Koichu (Eds.), Creativity in mathematics and the education of gifted students (pp. 309–324). Rotterdam: Sense Publishers.

    Google Scholar 

  • Fennema, E., Carpenter, T. P., Franke, M, L., Levi, L., Jacobs, V., Empson, S. (1996). A longitudinal study of learning to use children's thinking in mathematics instruction. Journal for Research in Mathematics Education, 27, 403–434.

  • Gal, H. (2005). Identifying problematic learning situations in geometry instruction, and handling them within the framework of teacher training, Dissertation, Hebrew University of Jerusalem, Jerusalem (in Hebrew).

  • Gal, H. (2011). From another perspective—training teachers to cope with problematic learning situations in geometry. Educational Studies in Mathematics, 78(2), 183–203.

    Article  Google Scholar 

  • Gal, H. & Levenson, E. (2008). From one end to the other: Instruction of mathematically talented students in mixed-ability classes. In R. Leiken (Ed.), Proceedings of the 5th International Conference on Creativity in Mathematics and the Education of Gifted Students (pp. 323–328). Haifa, Israel.

  • Ghaith, G. & Yaghi, M. (1997). Relationships among experience, teacher efficacy and attitudes toward the implementation of instructional innovation. Teaching and Teacher Education, 13, 451–458.

    Article  Google Scholar 

  • Gross, M. (1993). Exceptionally gifted children. New York, NY: Routledge.

    Book  Google Scholar 

  • Hackenberg, A. (2010). Mathematical caring relations: A challenging case. Mathematics Education Research Journal, 22(3), 57–83.

    Article  Google Scholar 

  • Hill, H., Ball, D., & Schilling, S. (2008). Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers topic-specific knowledge of students. Journal for Research in Mathematics Education, 39(4), 372–400.

    Google Scholar 

  • Holton, D., Cheung, K.-C., Kesianye, S., de Losada, M. F., Leikin, R., Makrides, G., Meissner, H., et al. (2009). Teacher development and mathematical challenge. In E. Barbeau & P. Taylor (Eds.), Challenging mathematics in and beyond the classroom. The 16th ICMI Study (pp. 205–242). Berlin: Springer.

  • Koshy, V., Ernest, P. & Casey, R. (2009). Mathematically gifted and talented learners: Theory and practice. International Journal of Mathematical Education in Science and Technology, 40(2), 213–228.

    Article  Google Scholar 

  • Krutetskii, V. A. (1976). The psychology of mathematical abilities in schoolchildren. Chicago, IL: The University of Chicago Press.

    Google Scholar 

  • Leikin, R. (2004). Towards high quality geometrical tasks: Reformulation of a proof problem. In M. J. Hoines & A. B. Fuglestad (Eds.), Proceedings of the 28th International Conference for the Psychology of Mathematics Education, Vol. 3 (pp. 209–216). Bergen, Norway.

  • Leikin, R. (2011). Teaching the mathematically gifted: Featuring a teacher. Canadian Journal of Science, Mathematics, and Technology Education, 11(1), 78–89.

    Article  Google Scholar 

  • Leikin, R. & Stanger, O. (2011). Teachers’ images of gifted students and the roles assigned to them in heterogeneous mathematics classes. In B. Sriraman & K. H. Lee (Eds.), The elements of creativity and giftedness in mathematics (pp. 103–118). Rotterdam, the Netherlands: Sense Publishers.

    Chapter  Google Scholar 

  • Lénárt, I. (2008). Gifted and non-gifted students and teachers. In E. Velikova & A. Andžāns (Eds.), Proceedings of the Discussion Group 9 of the 11th International Congress on Mathematical Education (pp. 69–79). Monterrey, Mexico.

  • Levenson, E., Tirosh, D. & Tsamir, P. (2009). Students’ perceived sociomathematical norms: The missing paradigm. The Journal of Mathematical Behavior, 28(2–3), 83–95.

    Google Scholar 

  • Mason, J. (1998). Enabling teachers to be real teachers: Necessary levels of awareness and structure of attention. Journal of Mathematics Teacher Education, 1, 243–267.

    Article  Google Scholar 

  • Middleton, J. A. (1995). A study of intrinsic motivation in the mathematics classroom: A personal constructs approach. Journal for Research in Mathematics Education, 26, 254–279.

    Article  Google Scholar 

  • Milgram, R. M. (1989). Teaching gifted and talented learners in regular classrooms. Springfield, IL: Thomas.

    Google Scholar 

  • Mingus, T. & Grassl, R. (1999). What constitutes a nurturing environment for the growth of mathematically gifted students? School Science and Mathematics, 99(6), 286–293.

    Article  Google Scholar 

  • Reed, C. (2004). Mathematically gifted in the heterogeneously group mathematics classroom: What is a teacher to do? Journal of Secondary Gifted Education, 15(3), 89–95.

    Google Scholar 

  • Reis, S. M. & Renzulli, J. (2004). Current research on the social and emotional development of gifted and talented students: Good news and future possibilities. Psychology in the Schools, 41(1), 119–130.

    Article  Google Scholar 

  • Sarikaya, H., Cakiroglu, J. & Tekkaya, C. (2005). Self-efficacy, attitude and science knowledge. Academic Exchange Quarterly, Winter, 2005.

  • Shulman, L. S. (1987). Knowledge and teaching: Foundations of new reform. Harvard Educational Review, 57(1), 1–22.

    Google Scholar 

  • Sowder, J. (2007). The mathematical education and development of teachers. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 157–223). Charlotte, NC: Information Age Publishing.

    Google Scholar 

  • Shayshon & Tesler (2008). Does it make a difference? Studying the impact of teachers’ program aimed at meeting mathematically talented students’ needs. In R. Leikin (Ed.), Proceedings of the 5th International Conference Creativity in Mathematics and the Education of Gifted Students (pp. 217–221). Haifa, Israel.

  • Sriraman, B. (2003). Mathematical giftedness, problem solving, and the ability to formulate generalizations. Journal of Secondary Gifted Education, 14, 151–165.

    Google Scholar 

  • Tirosh, D. & Graeber, O. A. (2003). Challenging and changing mathematics teaching classroom practices. In A. J. Bishop, M. A. Clements, C. Keitel, J. Kilpatrick & F. K. S. Leung (Eds.), Second international handbook of mathematics education (pp. 643–687). Dordrecht, the Netherlands: Kluwer.

    Chapter  Google Scholar 

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Authors and Affiliations

  1. Tel Aviv University, P.O. Box 39040, Tel Aviv, 69978, Israel

    Esther Levenson

  2. The David Yellin Academic College of Education, Jerusalem, P.O. Box 3578, Beit Hakerem, Jerusalem, 91035, Israel

    Hagar Gal

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  1. Esther Levenson
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  2. Hagar Gal
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Correspondence to Esther Levenson.

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Levenson, E., Gal, H. INSIGHTS FROM A TEACHER PROFESSIONAL DEVELOPMENT COURSE: RONA’S CHANGING PERSPECTIVES REGARDING MATHEMATICALLY-TALENTED STUDENTS. Int J of Sci and Math Educ 11, 1087–1114 (2013). https://doi.org/10.1007/s10763-012-9368-6

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  • DOI: https://doi.org/10.1007/s10763-012-9368-6

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