2.3 Problem Solving

This topic explains the process of analyzing a situation and taking action to generate a response, including the steps for solving simple and complex problems.

Definition

Problem Solving: Problem solving defines the process of analyzing some situation and accordingly behaving to generate some response.

Core Concept

Problem solving is like following a recipe to cook a meal. First, you understand what dish you want to make (define the problem). Then, you plan the steps (design a plan). Next, you actually cook (implement the plan). Finally, you taste the food to see if it's good (evaluate). For complex meals, you break them into smaller tasks—prep, cook, garnish—and handle each one. In computing, this structured approach ensures that problems are solved systematically, efficiently, and with fewer errors.

Detailed Explanation

Steps for Solving Simple Problems

For simple problems, the following 4 steps are used:

a. Define and analyze a problem: What is the problem and why is it happening?

b. Design a plan: What we are going to do (Algorithm).

c. Implement the plan: Code it by using some programming language.

d. Evaluate: Did our plan work?

Steps for Solving Complex Problems

For complex problems, the 6-step problem-solving process could be used:

a. Define and analyze a problem: Understand the problem thoroughly.

b. Decompose the problem: Make sub-problems that are manageable.

c. Identify potential plans for each sub-problem: Such as Plan A, Plan B, and Plan C.

d. Select and design best plan: Choose the most effective approach.

e. Implement that plan: Put the plan into action.

f. Evaluate: Check if the solution worked.

Importance of Defining and Analyzing a Problem

Before jumping into an action for a problem, it must be thoroughly investigated to capture all the relevant aspects of the problem. For this purpose, we properly define and analyze a problem. In defining a problem, there must be clarity and the objectives of the problem must be specified.

• Thorough investigation is essential.
• Capture all relevant aspects.
• Clarity in defining the problem.
• Objectives must be specified.

Intermediate Level

Problem solving is a systematic process. For simple problems, use the 4-step process: define and analyze (understand the problem and why it occurs), design a plan (create an algorithm), implement (code it), and evaluate (check if it worked). For complex problems, use the 6-step process: define and analyze, decompose (break into manageable sub-problems), identify potential plans (Plan A, B, C), select and design best plan, implement, and evaluate. Thorough investigation and clarity of objectives are essential before taking action.

Important Points

• - Problem solving = analyzing a situation and responding.
• - Simple problems: 4 steps (define, plan, implement, evaluate).
• - Complex problems: 6 steps (add decompose and select best plan).
• - Define and analyze: understand the problem and why it happens.
• - Design a plan: create an algorithm.
• - Implement: code the solution.
• - Evaluate: check if the plan worked.
• - Decompose: break into manageable sub-problems.
• - Clarity and objectives must be specified.

Remember

• - Simple Problems: Define → Plan → Implement → Evaluate.
• - Complex Problems: Define → Decompose → Identify Plans → Select Best → Implement → Evaluate.
• - Define: What and why.
• - Plan: Algorithm.
• - Implement: Code.
• - Evaluate: Did it work?
• - Decompose: Break into sub-problems.

Common Mistakes

• - Skipping problem definition: Many students jump to coding without understanding the problem.
• - Forgetting to evaluate: Evaluation is essential to confirm the solution works.
• - Not decomposing complex problems: Breaking into sub-problems makes complex problems manageable.
• - Choosing the first plan without comparing: Identifying multiple plans (A, B, C) helps select the best one.
• - Ignoring clarity and objectives: Without clear objectives, the solution may not meet requirements.

Quick Revision

Problem solving is the process of analyzing a situation and responding. For simple problems, use 4 steps: define and analyze, design a plan, implement, and evaluate. For complex problems, use 6 steps: define and analyze, decompose into sub-problems, identify potential plans, select and design the best plan, implement, and evaluate. Thorough investigation, clarity, and specified objectives are essential for effective problem solving.

60-Second Revision

• Problem Solving: Analyze situation → Respond.
• Simple Problems (4 steps): Define → Plan → Implement → Evaluate.
• Complex Problems (6 steps): Define → Decompose → Identify Plans → Select Best → Implement → Evaluate.
• Key Point: Understand the problem first, break complex problems into smaller parts, and always evaluate the solution.