Problem Solving and Reasoning

Question 1

What are the 2 methods of reasoning?

Answer 1

1. Inductive
2. Deductive

Question 2

This form of reasoning goes from specific to general.

Answer 2

Inductive reasoning.

Question 3

This form of reasoning goes from general to specific.

Answer 3

Deductive reasoning.

Question 4

Inductive reasoning forms conclusions based on…

Answer 4

the examination of specific examples.

Question 5

It is what you call the conclusion in inductive reasoning.

Answer 5

Conjecture.

The conclusion may or may not be correct.

Question 6

A counterexample is a case for which…

Answer 6

a true statement is not true, i.e., false statement.

Question 7

Deductive reasoning forms conclusions by applying…

Answer 7

general assumptions, procedures, or principles.

Question 8

A logic puzzle uses _ reasoning and a _.

Answer 8

deductive, chart

Question 9

A KenKen puzzle is an _ based _ puzzle.

Answer 9

arithmetic, logic

Question 10

The KenKen puzzle was invented by _ _ in the year _.

Answer 10

Tetsuya Miyamoto, 2004

Question 11

“Ken” means _ or _.

Answer 11

knowledge, awareness

Question 12

It is a logic puzzle similar to Sudoku.

Answer 12

KenKen puzzle.

Question 13

George Polya developed a framework for problem solving, known as…

Answer 13

Polya’s Four Step.

Question 14

What are the 4 steps in George Polya’s problem solving strategy?

Answer 14

1. Understand the problem
2. Devise the plan
3. Carry out the plan
4. Review the solution

Question 15

3 questions in the first step of Polya’s framework.

Answer 15

1. Can you restate the problem in your own words?
2. What is the goal?
3. Can you determine what is known about these types of problems?

Question 16

3 checklists in the second step of Polya’s framework.

Answer 16

1. Make a list of the known information
2. Work backwards
3. Look for a pattern

Question 17

3 checklists in the third step of Polya’s framework.

Answer 17

1. Work carefully
2. Document all attempts
3. Realise that some of your initial plans may not work and that you may have to devise another plan or modify your existing plan

Question 18

3 checklists in the fourth step of Polya’s framework.

Answer 18

1. Ensure that the solution is consistent with the facts of the problem
2. Interpret the solution in the context of the problem
3. Ask yourself whether there are generalisations of the solution that could apply to other problems