Mathematical Thinking on Probability One page outline Introduction The mathematical thinking process as defined in the Ontario math curriculum (with focus on probability) How students in grades 4-8 learn, view and understand probability (subjectively and objectively) Different teaching techniques that can be used to teach probability Probability and the mathematical thinking process behind how students in primary/junior level school understand, interpret and how different learners and students learn probability (focus on key themes and historical developments) Theoretical framework (1 or 2 theorists) Pros and cons vis-à-vis how learners learn and how to teach probability Questioning assumptions in the scholarly materials Conclusions...The end:
..... and knowing: a cognitive process. Journal of Education, 189(3): 55-64. Ontario Ministry of Education. (2005). The Ontario Curriculum, grades 1-8 (Mathematics). Retrieved April 9, 2010 from http://www.edu.gov.on.ca/eng/curriculum/elementary/math18curr.pdf Ramazan, G. (2007). The effects of computer-aided instruction on students’ conceptual development. Eurasian Journal of Educational Research, 28: 75-87. Swift, J. (n.d.). Piaget’s stages of cognitive development. Retrieved April 9, 2010 from http://www.telacommunications.com/nutshell/stages.htm Watson, J.M. & Moritz, J.B. (2003). Fairness of dice: A longitudinal study of students’ beliefs and strategies for making judgments. Journal for Research in Mathematics Education, 34(4): 270-304.