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Employing the CAMTE Framework: Focusing on Preschool Teachers’ Knowledge and Self-efficacy Related to Students’ Conceptions

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Abstract

This chapter presents the Cognitive Affective Mathematics Teacher Education (CAMTE) framework, a framework used in planning and implementing professional development for teachers. The CAMTE framework takes into consideration teachers’ knowledge as well as self-efficacy beliefs to teach mathematics. The context of counting and enumeration is used to illustrate how the framework can be used to investigate preschool teachers’ knowledge and self-efficacy related to children’s conceptions. Different aspects of teachers’ knowledge, such as knowledge of students and knowledge of tasks are discussed. Ways of promoting teachers’ self-efficacy are also presented. Finally, the case of one preschool teacher is described in detail, showing how the teacher began to adopt a constructivist approach to instruction.

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References

  • Allinder, R. M. (1994). The relationship between efficacy and the instructional practices of special education teachers and consultants. Teacher Education and Special Education, 17(2), 86–95.

    Article  Google Scholar 

  • Arcavi, A. (2004). Education of mathematics teachers. In R. Strässer, G. Brandell, B. Grevholm, & O. Helenius (Eds.), Educating for the future. Proceedings of an international symposium on mathematics teacher education, The royal Swedish academy of sciences, (pp. 227–238). Malmö, Sweden.

    Google Scholar 

  • Ashton, P. T., & Webb, R. B. (1986). Making a difference: Teachers’ sense of efficacy and student achievement. New York: Longman.

    Google Scholar 

  • Australian Association of Mathematics Teachers and Early Childhood Australia (AAMT/ECA) (2006). Position paper on early childhood mathematics. http://www.aamt.edu.au/documentation/statements. Accessed 20 Jan 2009.

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

    Article  Google Scholar 

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

    Google Scholar 

  • Baroody, A. J. (1987). Children’s mathematical thinking: A developmental framework for preschool, primary, and special education teachers. New York: Teacher’s College Press.

    Google Scholar 

  • Baroody, A. J., & Wilkins, J. L. M. (1999). The development of informal counting, number, and arithmetic skills and concepts. In J. V. Copley (Ed.), Mathematics in the early years (pp. 48–65). Reston: National Council of Teachers of Mathematics.

    Google Scholar 

  • Cobb, P. (1988). The tension between theories of learning and instruction in mathematics education. Educational Psychologist, 23(2), 87–104.

    Article  Google Scholar 

  • Coladarci, T. (1992). Teachers’ sense of efficacy and commitment to teaching. Journal of Experimental Education, 60, 323–337.

    Article  Google Scholar 

  • Gelman, R., & Gallistel, C. (1978). The child’s understanding of number. Cambridge: Harvard University Press.

    Google Scholar 

  • Ginsburg, H. P., Lee, J. S., & Boyd, J. S. (2008). Mathematics education for young children: What it is and how to promote it. Social Policy Report, XXII(I), 1–22.

    Google Scholar 

  • Hackett, G., & Betz, N. (1989). An exploration of the mathematics self-efficacy/mathematics performance correspondence. Journal for Research in Mathematics Education, 20(3), 261–273.

    Article  Google Scholar 

  • Israel National Mathematics Preschool Curriculum (INMPC) (2008). http://meyda.education.gov.il/files/Tochniyot_Limudim/KdamYesodi/Math1.pdf. Accessed 7 Apr 2009.

  • Kaiser, G. (2002). Educational philosophies and their influence on mathematics education—An ethnographic study in English and German mathematics classrooms. ZDM-Zentralblatt für Didaktik der Mathematik/International Reviews on Mathematical Education, 34(6), 241–257.

    Article  Google Scholar 

  • National Association for the Education of Young Children and National Council of Teachers of Mathematics (NAEYC and NCTM) (2002). Position statement. Early childhood mathematics: Promoting good beginnings. www.naeyc.org/resources/position_statements/psmath.htm. Acceded 7 April 2009.

  • Pehkonen, E., & Törner, G. (1999). Teachers’ professional development: What are the key change factors for mathematics teachers? European Journal of Teacher Education, 22(2–3), 259–275.

    Google Scholar 

  • Piaget, J., & Inhelder, B. (1958). The growth of logical thinking from childhood to adolescence. New York: Basic Books.

    Google Scholar 

  • Practice Guidance for the Early Years Foundation Stage (2008). www.standards.dfes.gov.uk/eyfs/resources/downloads/practice-guidance.pdf. Accessed 9 Apr 2009.

  • Presmeg, N. (2012). A dance of instruction with construction in mathematics education. Paper presented at POEM 12 A Mathematics Education Perspective on early Mathematics Learning between the Poles of Instruction and Construction. http://cermat.org/poem2012/main/proceedings.html. Accessed 24 June 2012.

  • Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. In D. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 334–370). New York: Macmillan.

    Google Scholar 

  • Schoenfeld, A. H., & Kilpatrick, J. (2008). Toward a theory of proficiency in teaching mathematics. In D. Tirosh & T. Wood (Eds.), The international handbook of mathematics teacher education: Tools and processes in mathematics teacher education (Vol. 2, pp. 321–354). Rotterdam: Sense Publishers.

    Google Scholar 

  • Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14.

    Article  Google Scholar 

  • Simon, M., & Schifter, D. (1993). Toward a constructivist perspective: The impact of a mathematics teacher inservice program on students. Educational Studies in Mathematics, 25(4), 331–340.

    Article  Google Scholar 

  • Tabach, M., Levenson, E., Barkai, R., Tirosh, D., Tsamir, P., & Dreyfus, T. (2010). Secondary school teachers’ awareness of numerical examples as proof. Research in Mathematics Education, 12(2), 117–131.

    Article  Google Scholar 

  • Tall, D., & Vinner, S. (1981). Concept image and concept definition in mathematics, with special reference to limits and continuity. Educational Studies in Mathematics, 12(2), 151–169.

    Article  Google Scholar 

  • Tirosh, D., & Tsamir, P. (2008). Starting right: Mathematics in preschool. Unpublished research report. In Hebrew.

    Google Scholar 

  • Tirosh, D., Tsamir, P., Levenson, E., & Tabach, M. (2011). From kindergarten teachers’ professional development to children’s knowledge: The case of equivalence. Journal of Mathematics Teacher Education, 14(2), 113–131.

    Article  Google Scholar 

  • Törner, G. (2002). Mathematical beliefs. In G. C. Leder, E. Pehkonen, & G. Törner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 73–94). Dordrecht:: Kluwer Academic.

    Google Scholar 

  • Tsamir, P., & Tirosh, D. (2011). The pair-dialogue approach in mathematics teacher education. In P. Liljedahl, S. Oesterle, and D. Allen (Eds.), Proceedings of the 2011 annual meeting of the Canadian mathematics education study group. Burnaby: CMESG.

    Google Scholar 

  • Tsamir, P., Tirosh, D., & Levenson, E. (2008). Intuitive nonexamples: The case of triangles. Educational Studies in Mathematics, 69(2), 81–95.

    Article  Google Scholar 

  • Von Glaserfeld, E. (1991). Radical constructivism in mathematics education. Dordrecth: Kluwer Academic.

    Google Scholar 

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This research was partially supported by The Israel Science Foundation (grant no. 654/10).

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Correspondence to Pessia Tsamir .

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Tsamir, P., Tirosh, D., Levenson, E., Tabach, M., Barkai, R. (2014). Employing the CAMTE Framework: Focusing on Preschool Teachers’ Knowledge and Self-efficacy Related to Students’ Conceptions. In: Kortenkamp, U., Brandt, B., Benz, C., Krummheuer, G., Ladel, S., Vogel, R. (eds) Early Mathematics Learning. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4678-1_18

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