Introduction

• Applicable grade levels.
• Fundamental element of problem solving.
• Request-Response.
• Request-Response-Result.
• Organization of a solution.
• Compare algebra and arithmetic.
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A very simple word problem

• Introducing the problem.
• The first Request-Response.
• The second Request-Response.
• The Result.
• The problem solving process.
• The two parts of problem solving.
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A modification of a very simple word problem

• The first Request-Response.
• The second Request-Response.
• The Result.
• Conclusions.
• An exercise.
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A simple problem with two variables. A parallel structure.

• The first Request-Response.
• The second Request-Response.
• The third Request-Response.
• The result.
• Importance of the solution part.
• An exercise. Test your progress.
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A simple word problem with two parallel variables. A parallel structure.

• How to start.
• What to do next.
• Work left to right.
• The result.
• The look and feel of problems.
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A Real Life problem. A parallel structure.

• About Real Life problems.
• How to start.
• What to do next.
• The result.
• Distinguishing the Solution from the Result.
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Hierarchical problem solution structure.

• Review: Parallel structure.
• Introducing the hierarchical structure.
• An example of a hierarchical structure. The first step.
• The second step.
• The third step.
• The Result.
• Summary.
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Dealing with words. A hierarchical structure.

• An example. The solution
• The effect of different words.

Dealing with lots of words. A hierarchical structure.

• Getting started.
• Using Request-Response for the first step.
• and do the same thing for the next step.
• Simply generate the solution by responding to requests.
• With the solution completed the result is immedidiate.
• Summary. The same look and feel for all problems.

Putting it all together

• Pure parallel structure.
• Now we add a response that makes a request.
• Nested hierarchical structures. The big picture.
• Now we know what a solution looks like.
• Why all problem solutions have the same look and feel.
• The same hierarchical organization is widely used.

What you need to know to solve problems reliably

• The main thing.
• Explanation of the main thing.

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