23 Questions
What is a crucial step before moving towards solving a problem?
Understanding what is involved in the problem
When working with a computer, what represents its knowledge base?
The instructions the computer can understand
To solve a problem involving calculus, one must:
Understand calculus
What is the purpose of identifying alternative ways to solve a problem?
To find more possible solutions
When selecting the best way to solve a problem, what should be evaluated?
The pros and cons of each solution
What should be established before selecting the best solution for a problem?
Criteria for evaluating possible solutions
Why is effective communication important when solving a problem?
To ensure all parties are on the same page
What should one do if the first solution to a problem is not optimal?
Identify alternative approaches
How does identifying alternative solutions contribute to effective problem-solving?
It provides more options for potential solutions.
What is the purpose of evaluating the solution?
To verify the correctness and satisfaction of the solution
What characterizes a problem with an algorithmic solution?
Direct set of steps lead to the solution
Which type of problems require reasoning built on knowledge and experience?
Problems with heuristic solutions
In what phase of problem-solving should the list of instructions be reviewed if the result is unsatisfactory?
Solution evaluation
What distinguishes a problem with heuristic solutions from a problem with algorithmic solutions?
Solution reached by reasoning based on knowledge and experience
Why is understanding the problem necessary in problem-solving?
To identify alternative ways to approach the problem
What should be done if a problem solver encounters an incorrect or unsatisfactory result?
Start from step 1 again
What is the first step in problem-solving according to the text?
Identify the problem.
Which step helps in ensuring the best decision solution for a given problem?
Select the best way to solve the problem from the list of alternative solutions.
Why is it important to understand the problem in problem-solving?
To make informed decisions and find an effective solution.
What is the purpose of listing instructions for the selected solution in problem-solving?
To enable you to solve the problem using a systematic approach.
How does identifying alternative ways to solve a problem contribute to effective problem-solving?
By allowing for flexibility and considering different approaches before selecting the best solution.
Which step in problem-solving involves selecting the best way to solve the problem from a list of alternatives?
Select the best way to solve the problem from the list of alternative solutions.
In problem-solving, what does it mean to identify alternative ways to solve a problem?
To consider various methods or strategies before choosing the best solution.
Study Notes
Problem Solving Concepts
- Problem-solving involves evaluating a solution to check its result and satisfy the needs of the person(s) with the problem.
Types of Problems
- Algorithmic Solution: can be solved with a series of actions
- Examples: find the maximum among a set of numbers, calculate the average of a set of numbers, check if a number is prime, find the factorial
- Heuristic Solutions: require reasoning built on knowledge and experience, and a process of trial and error
- Examples: company expansion, hiring new staff, prescribing medicine for a patient, buying the best stock
Heuristic Problem Example
- Step 1: Problem definition - define the problem
- Step 2: Understand the problem - ask guiding questions to understand the knowledge base of the person or machine
Problem Solving Steps
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- Identify the problem - make sure you identify the problem before solving it
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- Understand the problem - understand the knowledge base of the person or machine
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- Identify alternative ways to solve the problem - list all possible solutions
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- Select the best way to solve the problem - evaluate pros and cons of each solution
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- List instructions that enable you to solve the problem - use the selected solution
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- Evaluate the solution - check the result and satisfy the needs of the person(s) with the problem
Problem Solving in Everyday Life
- People make decisions every day to solve problems that affect their lives
- Problem-solving is important to make good decisions and avoid wasting time and resources
Learn about the step of evaluating the solution in the problem-solving process. Understand how to test a solution to ensure it is correct and meets the needs of the individual. Reviewing the list of instructions is crucial if the result is incorrect or unsatisfactory.
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