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Abstract:
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The author of this paper submits the thesis that learning requires doing; only through genuine inquiry is authentic learning achieved, and hence this paper proposes a programme of use of a modified Moore method (MMM) in a Probability and Mathematical Statistics (PAMS) course sequence to teach students PAMS. Furthermore, the author of this paper opines that set theory should be the core of the course's pre-requisite with logic and calculus as antecedents to the set theory, an introduction to the theory of functions as subsets of the Cartesian plane as consequents of set theory. The connections between logic, set theory, and proofs about probability, random variables & processes, and inferential mathematical statistics cannot be understated-- the better the student's pre-requisite knowledge the easier it is for the student to understand probability theory and flourish in PAMS sequence.
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