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MATH PROBLEMS??? NO PROBLEM!!! GOAL: to show different strategies in teaching problem solving techniques by Mind Map: MATH PROBLEMS??? NO PROBLEM!!!   GOAL:  to show different strategies in teaching problem solving techniques
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MATH PROBLEMS??? NO PROBLEM!!! GOAL: to show different strategies in teaching problem solving techniques

Functions, Coordinates and Graphs

Functions

Rectangular coordinates

Linear functions and slope

Polya's Problem Solving Principles

Understanding the problem

Polya suggest that a problem solver needs to become better acquainted with a problem and work toward a clearer understanding of it before progressing toward a solution.

Devising a plan

Experience and practice are the best teachers for devising plans.

Carrying out the plan

Your plan will give a general outline of direction.  Write down your thinking so your steps can be retraced.

Looking back

When a result has been reached, verify or check it by referring to the original problem.

Strategies for Solving Word Problems

Here are 5 different problem solving techniques...

Using a model

Models are important aids for visualizing a problem and suggesting a solution.

Work Backwards

By working backwards, one can retrace the steps of the problem to find a solution.

Make a Drawing

This is one of the most helpful strategies for understanding a problem and obtaining ideas for a solution.

Make a Table

A problem can sometimes be solved by listing some or all of the possibilities.  A table is a great way of organizing such a list.

Guess and check

Even if guessing doesn't produce the right answer, it may increase the understanding of the problem and obtain an idea for solving it.

A PROBLEM IS...

A problem exist when there is a situation you want to resolve but no solution is readily apparent.

PROBLEM SOLVING IS...

Problem solving is the process by which the unfamiliar situation is resolved.

Patterns and problem solving

Properties of Equality

Solving Inequalities

Sets

Venn Diagrams

When using Venn diagrams, it becomes easier to establish sets, union of sets, intersection of sets, etc.

Manipulatives

Manipulatives are a great way to allow students to picture and reason in their mind, why things look and work the way they do.

Deductive reasoning

Deductive reasoning in math is very important when forming conclusions and seeking a solution.

Logic