Mathematical Thinking on Probability


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Essay #: 059282
Total text length is 20,676 characters (approximately 14.3 pages).

Excerpts from the Paper

The beginning:
Mathematical Thinking on Probability
One page outline
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
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
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
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.