Using Deductive Reasoning to Solve a Problem

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This is an example of an illustration with instructions which I hand out to my classes.  Notice that the emphasis is not on “getting the answer” but rather on learning how to use deductive reasoning.  “Getting the answer” is relegated to technology or apps like PhotoMath.  I expect students to use a calculator for more

Rules for Deductive Reasoning – Syllogism in Mathematics

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A less precise, but correct, statement of The Transitive Property of Equality which is quite useful for constructing mathematical models is: It two expressions represent the same quantity, the two expressions must be equal. The key to every “word” problem, or “application” problem, or “modeling” problem is this interpretation of the The Transitive Property of