# Types of Problems & Problem Solving Strategies

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• 0:52 Types of Problems
• 3:10 Problem Solving Strategies
• 3:30 Algorithms
• 4:10 Heuristics
• 6:08 IDEAL Strategy
• 8:02 Lesson Summary

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Lesson Transcript
Instructor: Wind Goodfriend
We solve hundreds of small problems everyday. This lesson covers different types of problems, such as routine vs. non-routine, and many of the different problem-solving strategies we use, including algorithms, heuristics, graphic representations and the IDEAL Strategy.

## Types of Problems

In school and in everyday life, we all have to solve a wide variety of problems. In school, these problems might be how to complete an algebraic equation or remembering the order of U.S. Presidents. In everyday life, problems might be how to maintain a long-distance relationship or how to pay bills on a limited income. Either way, in order to be successful, we must have the ability to solve different types of problems using different types of solution strategies.

Problem solving is the application of ideas, skills or factual information to achieve the solution to a problem or to reach a desired outcome. Let's talk about different types of problems and different types of solutions.

Educational psychology has broken down problems in two different ways. The first way is to make a distinction between well-defined and poorly-defined problems. A well-defined problem is one that has a clear goal or solution, and problem solving strategies are easily developed. In contrast, a poorly-defined problem is the opposite. It's one that is unclear, abstract, or confusing, and that does not have a clear problem solving strategy.

For example, imagine that you are in school. If your teacher gives you a quiz that asks you to list the first ten U.S. Presidents in order and name one important historical fact about each, that would be a well-defined problem. The instructions and expected outcome is clear, and you can use a simple memory recall strategy to come up with the correct answer. However, if your teacher gives you a quiz that instead asks you, 'think about some history, then draw a picture and be sure to wash your hands,' you're not really sure what to do. What does the teacher expect of you? This is a poorly-defined problem, because you don't know how to reach a solution or answer.

The second way that educational psychology has broken down different types of problems is by making a distinction between routine and non-routine problems. Just like the name indicates, a routine problem is one that is typical and has a simple solution. In contrast, a non-routine problem is more abstract or subjective and requires a strategy to solve. Routine problems are what most people do in school: memorizing simple facts, how to do addition and subtraction, how to spell words, and so on. However, in more advanced years or in more advanced subjects in school, teachers might present students with non-routine problems that require critical thinking skills and subjective solutions. For example, the ethics of social issues such as the death penalty, or the role of civil rights in laws, or themes in famous literature, might be considered non-routine problems. Non-routine problems require more complicated or creative problem solving strategies. Let's talk about problem solving strategies now and go over several possible options.

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