What are the 2 methods of reasoning?
- Inductive
- Deductive
This form of reasoning goes from specific to general.
Inductive reasoning.
This form of reasoning goes from general to specific.
Deductive reasoning.
Inductive reasoning forms conclusions based on…
the examination of specific examples.
It is what you call the conclusion in inductive reasoning.
Conjecture.
The conclusion may or may not be correct.
A counterexample is a case for which…
a true statement is not true, i.e., false statement.
Deductive reasoning forms conclusions by applying…
general assumptions, procedures, or principles.
A logic puzzle uses _ reasoning and a _.
deductive, chart
A KenKen puzzle is an _ based _ puzzle.
arithmetic, logic
The KenKen puzzle was invented by _ _ in the year _.
Tetsuya Miyamoto, 2004
“Ken” means _ or _.
knowledge, awareness
It is a logic puzzle similar to Sudoku.
KenKen puzzle.
George Polya developed a framework for problem solving, known as…
Polya’s Four Step.
What are the 4 steps in George Polya’s problem solving strategy?
- Understand the problem
- Devise the plan
- Carry out the plan
- Review the solution
3 questions in the first step of Polya’s framework.
- Can you restate the problem in your own words?
- What is the goal?
- Can you determine what is known about these types of problems?
3 checklists in the second step of Polya’s framework.
- Make a list of the known information
- Work backwards
- Look for a pattern
3 checklists in the third step of Polya’s framework.
- Work carefully
- Document all attempts
- Realise that some of your initial plans may not work and that you may have to devise another plan or modify your existing plan
3 checklists in the fourth step of Polya’s framework.
- Ensure that the solution is consistent with the facts of the problem
- Interpret the solution in the context of the problem
- Ask yourself whether there are generalisations of the solution that could apply to other problems
