Monday, January 23, 2012

Math Problem Solving


Math Problem Solving, There are four basic steps in solving a problem that has been widely accepted, and is sourced from the book George Polya in 1945 titled "How to Solve It".
The four steps are:
a. Understanding the problem / issue - as complete as possible.
To be able to perform phase 1 well, the necessary training to understand
problem either in the form of stories and questions about non-story, especially in terms of:

1). Any question, the question can be simplified,
2). Any data that belongs to the question / problem, select the relevant data,
3). What the relationships of existing data.

b. Choosing a settlement plan - of some possible alternatives.
To be able to conduct phase 2 well, the necessary skills and
understanding of the various problem-solving strategies (this will be discussed more
further in a separate section).

c. Implementing the plan - with precise, accurate and true.
To be able to perform step 3 properly, it needs to be trained on:
1). numeracy skills,
2). manipulate algebraic skills,
3). Make an explanation (explanation) and arguments (reasoning).

d. Checking the answer - whether it is correct, complete, clear and argumentative
(grounded).
To be able to perform phase 4 well, it is necessary to practice on:
1). Check completion / response (test or tested response),
2). Check whether the answers obtained reasonable,
3). Check the work, is there anything wrong calculation or analysis,
4). Check the work, is there a less complete or less clear.
Students often get stuck at stage 3 only, often forgotten stage 4 and neglect
stage 1 and stage 2.

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