A Dramatic Transformation

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I taught my first math class in 1965.  I taught my last class in 2017.  A disturbing transformation has occurred in those 52 years. In those early years of my career we taught concepts, generalizations, abstractions, deductive reasoning, and critical thinking (although Richard Paul had not yet invented the term). The same things were taught

Rules for Deductive Reasoning – Modus Ponens

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Modus Ponens Modus ponens (frequently cited by Sheldon in The Big Bang Theory) is a deductive rule of inference frequently used in mathematics including beginning algebra. Modus ponens is the primary deductive rule of inference. The argument form is listed below: P → Q  (First premise is a conditional statement) P (Second premise is the