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Thinking Mathematically

Thinking Mathematically. Problem Solving and Critical Thinking. Example. You purchased textbooks for 4 classes. Each book cost more than $50.00. Inductive Reasoning. “Inductive reasoning” is the process of arriving at a general conclusion based on observations of specific examples.

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Thinking Mathematically

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  1. Thinking Mathematically Problem Solving and Critical Thinking

  2. Example You purchased textbooks for 4 classes. Each book cost more than $50.00. Inductive Reasoning “Inductive reasoning” is the process of arriving at a general conclusion based on observations of specific examples. Conclusion: College textbooks cost more than $50.00.

  3. Inductive Reasoning There is no guarantee that the conclusions reached by “inductive reasoning” are correct with no exceptions. Even though all your textbooks this term cost more than $50.00 it is still possible (and even probable) that a textbook for some course will cost less than $50.00.

  4. Inductive Reasoning In mathematics “inductive reasoning” is often used to find patterns. Find the pattern in the following sequence of 6 numbers and use that pattern to decide what the next number should be. 1,4,16,64,256,1024,? Each number is obtained from the previous one by multiplying by 4. The next number is 4106

  5. The catalog states that all entering freshmen must take a mathematics placement test. Deductive Reasoning “Deductive reasoning” is the process of proving a specific conclusion from one or more general statements. A conclusion that is proved true by deductive reasoning is called a theorem. For example: You are an entering freshman. Conclusion: You will have to take a mathematics placement test.

  6. Thinking Mathematically Problem Solving and Critical Thinking

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