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In Classical Deductive reasoning, you cannot say anything about Q -> P from P -> Q. However, probabilistic reasoning allows you to say something about the probability of Q given P from the probability of P given Q. The attached document explores this through two examples.
Tagsbiases probability exposition scientific inquiry justifying
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Providing students with the ability to justify claims is one of the basic commitments of Inquiry Oriented Education. The attached documents explores the concepts involved in justification as well as bunch of exercises and examples for students to engage with.
Tagsexposition mathematical inquiry scientific inquiry humanistic inquiry textbook chapter justifying
The attached document explores various ways of inuitively understanding negative numbers, especialy the product of two negative numbers. When working with positive numbers, repeated addition and scaling are ways to understand multiplication. However, the same techniques do not work in explaining the product of negative numbers.
Tagsexposition mathematics conceptual inquiry