Tuesday, May 5, 2009

Deductive or Inductive? For My Students

Way back in the beginning of the year you learned about 2 kinds of reasoning. Later you learned to write proofs. Remember how much fun that was!!!!

Inductive Reasoning: This kind of reasoning is based on patterns that you observe. Here's an ex.
1+3=4
1+3+5=9
1+3+5+7=16
1+3+5+7+9=25
Based on this pattern, what is the sum of the first 9 consecutive positive odd numbers?
a. 49
b. 64
c. 81
d. 100

Answer: c Do you see the pattern?.

Deductive Reasoning: This kind of reasoning is based on facts...theorems, postulates, properties. When you write a proof using theorems, you are using deductive reasoning.

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