Abstract
This chapter focuses on methodological issues related to investigating preschool teachers’ self-efficacy for teaching geometry. The first issue discussed is the specificity, as opposed to the generality, of self-efficacy and the need to design instruments which are sensitive to this aspect of self-efficacy. Specificity may be related to content, in this case geometry and the specific figures under investigation. In other words, self-efficacy for teaching triangles may differ from self-efficacy for teaching pentagons. Self-efficacy may also be related to the specific action being performed, such as designing tasks for promoting knowledge versus designing tasks for evaluating knowledge. The chapter also investigates the relationship between preschool teachers’ knowledge and self-efficacy for identifying geometrical figures, presenting a method for studying this relationship but also raising questions related to this method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
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, 86–95.
Ball, D., Thames, M., & Phelps, G. (2008). Content knowledge for teaching. Journal of Teacher Education, 59(5), 389–407.
Bandura, A. (1986). Social foundations of thought and action: A social cognitive theory. Englewood Cliffs: Prentice Hall.
Bandura, A. (2006). Guide for constructing self-efficacy scales. In F. Pajares & T. Urdan (Eds.), Self-efficacy beliefs of adolescents (pp. 1–43). Greenwich: Information Age.
Bandura, A., & Schunk, G. H. (1981). Cultivating competence, self-efficacy, and intrinsic interest through proximal self-motivation. Journal of Personality and Social Psychology, 41(3), 586–598.
Bates, A. B., Latham, N., & Kim, J. (2011). Linking preservice teachers’ mathematics self-efficacy and mathematics teaching efficacy to their mathematical performance. School Science and Mathematics, 111(7), 325–333.
Betz, N. E., & Hackett, G. (1993). Mathematics self-efficacy scale. Palo Alto: Mind Garden Press.
Caprara, G. V., Barbaranelli, C., Steca, P., & Malone, P. (2006). Teachers’ self-efficacy beliefs as determinants of job satisfaction and students’ academic achievement: A study at the school level. Journal of School Psychology, 22, 473–490.
Coladarci, T. (1992). Teachers’ sense of efficacy and commitment to teaching. Journal of Experimental Education, 60, 323–337.
Collins, J. (1982). Self-efficacy and ability in achievement behavior. Paper presented at the Meeting of the American Educational Research Association, New York.
Davis-Kean, P. E., Huesmann, L. R., Jager, J., Collins, W. A., Bates, J. E., & Lansford, J. (2008). Changes in the relation of beliefs and behaviors during middle childhood. Child Development, 79, 1257–1269.
Dellinger, A., Bobbett, J., Livier, D., & Ellett, C. (2008). Measuring teachers’ self-efficacy beliefs: Development and use of the TEBS-self. Teaching and Teacher Education, 24, 751–766.
Enochs, L. G., Smith, P. L., & Huinker, D. (2000). Establishing factorial validity of the mathematics teaching efficacy beliefs instrument. School Science and Mathematics, 100, 194–202.
Gelman, R., & Gallistel, C. (1978). The child’s understanding of number. Cambridge: Harvard University Press.
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.
Hackett, G., & Betz, N. (1989). An exploration of the mathematics self-efficacy/mathematics performance correspondence. Journal for Research in Mathematics Education, 20, 261–273.
Hershkowitz, R. (1990). Psychological aspects of learning geometry. In P. Nesher & J. Kilpatrick (Eds.), Mathematics and cognition (pp. 70–95). Cambridge: Cambridge University Press.
Israel National Mathematics Preschool Curriculum (INMPC). (2008). Retrieved April 7, 2009, from http://meyda.education.gov.il/files/Tochniyot_Limudim/KdamYesodi/Math1.pdf
Merenluoto, K. (2004). The cognitive – Motivational profiles of students dealing with decimal numbers and fractions. In M. J. Høines & A. B. Fuglestad (Eds.), Proceedings of the 28th conference of the international group for the psychology of mathematics education (Vol. 3, pp. 297–304).
National Association for the Education of Young Children & National Council of Teachers of Mathematics (NAEYC & NCTM). (2002). Position statement. Early childhood mathematics: Promoting good beginnings. Available: www.naeyc.org/resources/position_statements/psmath.htm
Pajares, F. (1996). Self efficacy believes in academic settings. Review of Educational Research, 66, 543–578.
Pajares, F., & Graham, L. (1999). Self-efficacy, motivation constructs, and mathematics performance of entering middle school students. Contemporary Educational Psychology, 24, 124–139.
Pajares, F., & Miller, M. D. (1994). Role of self-efficacy and self-concept beliefs in mathematical problem solving: A path analysis. Journal of Educational Psychology, 86, 193–203.
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.
Schulz, W. (2005, April 11–15). Mathematics self-efficacy and student expectations. Results from PISA 2003. Paper prepared for the annual meetings of the American Educational Research Association in Montreal.
Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14.
Skaalvik, E., & Skaalvik, S. (2007). Dimension of teacher self-efficacy and relations with strain factors, perceived collective teacher efficacy, and teacher burnout. Journal of Educational Psychology, 99(3), 611–625.
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.
Tirosh, D., & Tsamir, P. (2008). Starting right: Mathematics in preschool. Unpublished research report. In Hebrew.
Tirosh, D., Tsamir, P., Levenson, E., & Tabach, M. (2011). From preschool teachers’ professional development to children’s knowledge: Comparing sets. Journal of Mathematics Teacher Education, 14, 113–131.
Tsamir, P., Tirosh, D., & Levenson, E. (2008). Intuitive nonexamples: The case of triangles. Educational Studies in Mathematics, 69, 81–95.
Tsamir, P., Tirosh, D., Levenson, E., Tabach, M., & Barkai, R. (2014a). Employing the CAMTE framework: Focusing on preschool teachers’ knowledge and self-efficacy related to students’ conceptions. In C. Benz, B. Brandt, U. Kortenkamp, G. Krummheuer, S. Ladel, & R. Vogel (Eds.), Early mathematics learning – Selected papers from the POEM 2012 conference (pp. 291–306). New York: Springer.
Tsamir, P., Tirosh, D., Levenson, E., Tabach, M., & Barkai, R. (2014b). Developing preschool teachers’ knowledge of students’ number conceptions. Journal of Mathematics Teacher Education, 17(1), 61–83.
Wheatley, K. (2002). The potential benefits of teacher efficacy doubts for educational reform. Teaching and Teacher Education, 18(1), 5–22.
Zimmerman, B. J. (2000). Attainment of self-regulation: A social cognitive perspective. In M. Boekaerts, P. R. Pintrich, & M. Zeidner (Eds.), Handbook of self-regulation (pp. 13–39). San Diego: Academic.
Acknowledgements
This research was supported by THE ISRAEL SCIENCE FOUNDATION (grant No. 654/10). We would also like to thank Dr. Sigal Levy, from The Academic College of Tel Aviv Yaffo, for her assistance and advice regarding statistical analysis.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Tsamir, P., Tirosh, D., Levenson, E., Tabach, M., Barkai, R. (2015). Preschool Teachers’ Knowledge and Self-Efficacy Needed for Teaching Geometry: Are They Related?. In: Pepin, B., Roesken-Winter, B. (eds) From beliefs to dynamic affect systems in mathematics education. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-06808-4_16
Download citation
DOI: https://doi.org/10.1007/978-3-319-06808-4_16
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06807-7
Online ISBN: 978-3-319-06808-4
eBook Packages: Humanities, Social Sciences and LawEducation (R0)