### Preparing pre-school teachers for teaching probability

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Ajzen, I., & Fishbein, M. (2000). Attitudes and the attitude-behavior relation: reasoned and automatic processes. In W. Stroebe & M. Hewstone (Eds), European Review of Social Psychology (Vol. 11, pp. 1–33). Chichester, UK: Wiley.

Amir, G. S., & Williams, J. S., (1999). Cultural influences on children’s probabilistic thinking. Journal of Mathematical Behavior, 18(1), 85-107.

Antonopoulos, K., & Zacharos, K. (2013). Probability constructs in preschool education and how they are taught. Teachers and Teaching: Theory and Practice, 19(5), 575-589.

Ball, D. L., Lubienski, S. T., & Mewborn, D. S. (2001). Research on teaching mathematics: the unsolved problem of teachers’ mathematical knowledge. In V. Richardson (Ed.), Handbook of research on teaching (pp. 433-456). Washington, DC: American Educational Research Association.

Bandura, A. (1997). Self-efficacy: the exercise of control. NY: W. H. Freeman and Company.

Batanero, C., Henry, M., & Parzysz, B. (2005). The nature of chance and probability. In G. A. Jones (Ed.), Exploring probability in school. Challenges for teaching and learning (pp. 15-37). N.Y, U.S.A: Springer.

Batanero, C., Burrill, G., & Readin, C. (2011). Overview: challenges for teaching statistics in school mathematics and preparing mathematics teachers. In C. Batanero, G. Burrill & C. Reading (Eds), Teaching statistics in school mathematics-challenges for teaching and teacher education: a joint ICMI/IASE study, (pp. 407-418). Heidelberg etc: Springer.

Batanero, C., & Diaz, C. (2012). Training school teachers to teach probability: reflections and challenges. Chilean Journal of Statistics, 3(1), 3-13.

Batanero, C., Arteaga, P., Serrano, L., & Ruiz, B. (2014). Prospective primary school teachers’ perception of randomness. In E. J. Chernoff & B. Sriraman (Eds), Probabilistic thinking. Presenting plural perspectives (pp. 345-366). Dordrecht etc: Springer.

Baturo, A., Cooper, T., Doyle, K., & Grant, E. (2007). Using three levels in design of effective teacher-education tasks: the case of promoting conflicts with intuitive understandings in probability. Journal of Mathematics Teacher Education, 10(4/6), 251-259.

Begg, A., & Edwards, R. (1999). Teachers’ ideas about teaching statistics. Proceedings of the 1999 Combined Conference of the Australian Association for Research in Education and New Zealand Association for Research in Education. Melbourne: AARE & NZARE. Retrieved from www.qqre.edu.au/99pap/beg99082.htm.

Borim, C., & Coutinho, C. (2008). Reasoning about variation of a univariate distribution: a study with secondary mathematics teachers. In C. Batanero, G. Burrill, C. Reading & A. Rossman (Eds), Joint ICMI/IASE study: teaching statistics in school mathematics. Challenges for Teaching and Teacher Education. Proceedings of the ICMI Study 18 and 2008 IASE Round Table Conference, ICMI and IASE, Monterrey. Retrieved from http://www.ugr.es/~icmi/iase_study.

Borovcnik, M., & Peard, R. (1996). Probability. In A. J. Bishop, K. Clements, C. Keitel, J. Kilpatrick & C. Laborde (Eds), International Handbook of Mathematics Education (pp. 239-288). Dordrecht: Kluwer.

Chester, M. D., & Beaudin, B. Q. (1996). Efficacy beliefs of newly hired teachers in urban schools. American Educational Research Journal, 33(1), 233-257.

Copley, J. V. (2004). The early childhood collaborative: a professional development model to communicate and implement. In D. H. Clements & J. Sarama (Eds), Engaging young children in mathematics, standards for Early Childhood Mathematics Education, (pp. 401-414). London: Lawrence Erlbaum Associates.

Estrada, A., Batanero, C., & Lancaster, S. (2011). Teachers’ attitudes towards statistics. In C. Batanero, G. Burrill & C. Reading (Eds), Teaching statistics in school mathematics. Challenges for teaching and teacher education (pp. 163-174). Dordrecht etc: Springer.

Fullan, G. M. (1991). The new meaning of educational change. New York: Cassell.

Franklin, C., Kader, G., Mewborn, D. S., Moreno, J., Peck, R., Perry, M., & Scheaffer, R. (2005). A curriculum framework for K-12 statistics education. GAISE Report. American Statistical Association. Retrieved from http://www.amstat.org/education/gaise.

Ghaith, G., & Shaaban, K. (1999). The relationship between perceptions of teaching concerns, teacher efficacy, and selected teacher characteristics. Teaching and Teacher Education, 15, 487-496.

Greer, B., & Mukhopadhyay, S. (2005). Teaching and learning the mathematization of uncertainty: historical, cultural, social and political contexts. In G. A. Jones (Ed.), Exploring probability in school. Challenges for teaching and learning (pp. 344-366). N.Y, U.S.A: Springer.

Grootenboer, P., & Hemmings, B. (2007). Mathematics performance and the role played by affective and background factors. Mathematics Education Research Journal, 19(3), 3-20.

Hannigan, A., Gill, O., & Leavy, A. M. (2013). An investigation of prospective secondary mathematics teachers’ conceptual knowledge of and attitudes towards statistics. Journal of Mathematics Teacher Education, 16(6), 427-449.

Hunter, L. T., & Markman, B. A. (2016). Proposing an operational definition of science teacher beliefs. Journal of Science Teacher Education, 27(6), 675-691.

Jones, G. A. (2005). Introduction. In G. A. Jones (Ed.), Exploring probability in school. Challenges for teaching and learning (pp. 1-12). New York: Springer.

Jones, G. A., & Thornton, C. (2005). An overview of research into the teaching and learning of probability. In G. A. Jones (Ed.), Exploring probability in school. Challenges for teaching and learning (pp. 65-92). N.Y, U.S.A: Springer.

Kafoussi, S. (2004). Can kindergarten children be successfully involved in probabilistic tasks? Statistics Education Research Journal, 3(1), 29-39.

Kyriakides, L. (2005). Evaluating school policy on parents working with their children in class. The Journal of Educational Research, 98(5), 281-298.

Markman, A. B., & Dietrich, E. (2000). In defense of representation. Cognitive Psychology, 40, 138–171.

National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: Retrieved from http://standards.nctm.org/.

Piaget, J., & Inhelder, B. (1975). The origin of the idea of chance in children. London: Routledge & Kegan Paul.

Pajares, M. F. (1992). Teachers’ beliefs and educational research: cleaning up a messy construct. Review of Educational Research, 62(3), 307-332.

Peterson, P. L., Fennema, E., Carpenter, T. P., & Loef, M. (1989). Teachers’ pedagogical content beliefs in mathematics. Cognition and Instruction, 6(1), 1-40.

Philippou, G. N., & Christou, C. (1998). The effects of a preparatory mathematics program in changing prospective teachers’ attitudes toward mathematics. Educational Studies in Mathematics, 35, 189-206.

Ruffell, M., Mason, J., & Allen, B. (1998). Studying attitude to mathematics. Educational Studies in Mathematics, 35, 1-18.

Sachs, J. (1997). Reclaiming the agenda of teacher professionalism: an Australian experience. Journal of Education for Teaching, 23, 263–275.

Shiakalli, M. A., & Zacharos, K. (2014). Building meaning through problem solving practices: the case of four-year olds. Journal of Mathematical Behavior, 35, 58-73.

Shiakalli, M. A., & Zacharos. K. (2012). The contribution of external representations in pre-school mathematical problem solving. International Journal of Early Years Education, 20(4), 315-331.

Shulman, L. S. (1987). Knowledge and teaching: foundations of the new reform. Harvard Educational Review, 57, 1-22.

Skoumpourdi, C., Kafoussi, S., & Tatsis, K. (2009). Designing probabilistic tasks for kindergartners. Journal of Early Childhood Research, 7(2), 153-172.

Soodak, L., & Podell, D. M. (1996). Teacher efficacy: toward the understanding of a multi-faceted construct. Teaching & Teacher Education, 12(4), 401-411.

Stohl, H. (2005). Probability in teacher education and development. In G. A. Jones (Ed.), Exploring probability in school. Challenges for teaching and learning (pp. 344-366). N.Y, U.S.A: Springer.

Tarr, J. E. (2002). The confounding effects of "50-50 chance" in making conditional probability judgments. Focus on Learning Problems in Mathematics, 24, 35-53.

TIMSS (2007). International version of the background questionnaires – Population 2. Retrieved from http://timss.bc.edu/timss1995i/database/UG1_Sup2.pdf#page=93.

Tschannen-Moran, M., Woolfolk Hoy, A., & Hoy, W. K. (1998). Teacher efficacy: its meaning and measure. Review of Educational Research, 68(2), 202-248.

Vacc, N. N., & Bright, G. W. (1998). Elementary preservice teacher’s changing beliefs and instructional use of children’s mathematical thinking. Journal for Research in Mathematics Education, 29(3), 89-110.

Watson, J. (2001). Profiling teachers’ competence and confidence to teach particular mathematics topics: the case of chance and data. Journal of Mathematics Teacher Education, 4, 305-337.

Watson, J. M., Caney, A., & Kelly, B. A. (2004). Beliefs about chance in the middle years: longitudinal change. In I. Putt, R. Faragher & M. McLean (Eds), Mathematics education for the third millennium: towards 2010. Proceedings of the 27th Annual Conference of the Mathematics Education Research Group of Australasia (Vol. 2, pp. 581-588). Sydney, NSW: MERGA.

Wilkins, J. L. M. (2008). The relationship among elementary teachers’ content knowledge, attitudes, beliefs, and practices. Journal of Mathematics Teacher Education, 11(2), 139-164.

Williams, A., & Nisbet, S. (2014). Primary school students’ attitudes to and beliefs about probability. In J. Egan & S. Chernoff-Bharath (Eds), Probabilistic thinking. Presenting plural perspectives (pp. 683-708). Germany and USA: Springer.

Zacharos, K., Koliopoulos, D., Dokimaki, M., & Kassoumi, H. (2007). Attitudes and beliefs of prospective Early Childhood Education teachers towards mathematics and its instruction. European Journal of Teacher Education, 30(3), 305-318.

DOI: https://doi.org/10.26220/rev.2810

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