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HOW TO SOLVE IT?. G.POLYA. G.POLYA. Polya ’ s Four-Step Model. G.Polya : …That good problem solvers tend to forget the details and focus on the structure of the problem, while poor problem solvers do the opposite …. Four-Step Process : 1. Understand the problem ( SEE )

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g polya
G.POLYA

Polya’s Four-Step Model

slide3

G.Polya :

…That good problem solvers tend to forget the details and focus on the structure of the problem, while poor problem solvers do the opposite ….

Four-Step Process:

1. Understand the problem (SEE)

2. Devise a plan (PLAN)

3. Carry out the plan (DO)

4. Look back (CHECK)

slide4

G.Polya :

1.Understand the problem (SEE)

Many students are overwhelmed just by reading a problem. At this point group discussion is beneficial.

Questions that may help you lead students to an understanding of the problem:

•What are you asked to find or show?

•What type of answer to you expect?

•What units will be used in the answer?

•Can you give an estimate?

•What information is given?

•If there enough or too little information given?

•Can you restate the problem in your own words?

slide5

G.Polya :

2. Devise a plan: (PLAN)

The plan is usually called a strategy.

Problem-solving strategies include:

•Act is out

•Make a drawing or diagram

•Look for a pattern

•Construct a table

•Identify all possibilities

•Guess and check

•Work backward

•Write an open sentence

•Solve a simpler or similar problem

•Change your point of view/logical reasoning

slide6

G.Polya :

3. Carry out the plan: (DO)

The original strategy may need to be modified. Students need to understand that not every problem will be solved in the first attempt. Cooperative learning teams can be very beneficial at this point.

slide7

G.Polya :

4. Look back: (CHECK)

This is simply checking all steps and calculations. Students should be reminded (and reminded) that they should not assume the problem is complete once a solution has been found. Instead, students should examine the problem to ensure that the solution makes sense.

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IMO CONTENS

ALGEBRA

PLANE GEOMETRI

SOLID GEOMETRI

GEOMETRI INEQUALITIES

COMBINATORIK & PROBABILITY

CALCULUS

NUMBER OF THEORY

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SOURCES

Burris, Anita (2005). Understanding the Math You Teach. Merrill Prentice Hall, ISBN 0-13-110737-2.

Math Strategies:

http://www.fcps.k12.va.us/DeerParkES/kids/diane/Math/

tenstrat.htm

Problem Solving Strategies:

http://math.about.com/cs/testprep/a/ps.htm