Chapter 3 | Problem Solving and Reasoning

Open Ended

What do you call to the conclusion formed by using inductive reasoning?

Open Ended

Do you agree that the conclusion of an inductive reasoning may or may not be valid? Justify your answer.

Open Ended

Do you agree that the conclusion of a deductive reasoning are valid and can be relied on? Justify your answer.

Open Ended

Duirng the past 10 years, a tree has produced plums every other year. Last year, the tree did not produce plums, so this year the tree will produce plums. What type of reasoning was used in the given argument? Justfiy your answer.

Open Ended

All home improvemnts cost more than the estimate. The contractor estimated that my home improvement will cost 1,000,000. Thus my home improvement will cost more than P1,000,000. What type of reasoning was used in the given argument?

Open Ended

When we examine a sequence, give two questions we naturally ask.

Open Ended

How do we generate the terms in a given sequence?

Open Ended

Explain how Fibonacci sequence contribute to problem solving with patterns.

Open Ended

Going back to your high school mathematics, what classification of problems do you usually encounter? Do you find them difficult to solve

Open Ended

Explain the concept behind heuristics.

Open Ended

Have a brief explanation on how Polya's framework will be carry out in porblem solving. 

Open Ended

Every person at a party of twenty-eight people said "hello" to each of the other people at the party exactly at once. How many "Hello's" were said at the party? Solve this using Polya's framew

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