Word Problems
Word problems are often difficult for many students, but all good word
problem should provide you with information that describe the input and
out variables and some clue as to the rules or function types, or model
to use to related the input to the output. However, some word problems
provide only implicit or indirect clues on all 3 information types.
A good approach to attempting to solve word problems is to first ask
yourself these questions:
1. What is given - variables, attributes descriptions / values ?
2. What is being asked - what output is expected?
3. What model best describes or explains the problem or fit the information
given?
One of the first step in solving any word problem is to paraphrase the
problems or restate the problems the obtain a clear understanding of the
problems to be solved. Often in the rephrasing of the problem the solution
jumps out at you.
The next step is to find out what information is given and what solution
is requested or asked.
This is obtained by asking the questions above.
The most difficult part and most important part of a problems is the
solution strategy: This include finding the best model to solve the problems
and deciding on a approach to solving the problem (algebraic or graphical
or logical). Though we stress algebraic or graphical approaches to problems,
students may find unique ways to solve problems, but must be able to defend
solution by the final step below:
Usually one final step after a solution is obtained is often not performed
by most students when working out the solution(s) to a problem; that is,
checking the consistency of your answers.
Even in checking you may not know for sure if the answer is the correct
solution to a problem; however checking validates the following:
1. Corrects application of mathematical model - formula
2. Checks Input with output and output with inputs for consistency
3. Verifies reasonability of solution(s)
4. Corrects computational errors
Since this is a graphics intense text students should use their calculators
to verify solutions graphically.
There are various approaches to attacking word problems that will be
developed during the lectures associated with this text - strategies for
solving problems and making decisions given a set of alternatives.
The best way to master word problems is to Practice, Practice, Practice!
You must work out problems on your own, having the instructor or teacher
solve your problem for you is not a substitute for working each problem
out on your own.
"I teach you what is mine, what you learn by doing becomes yours",
GB
Remember we learn:
10% of what we read
20% of what we hear
30% of what we see
50% of what we see and hear
70% of what we say
90% of what we say and do
The worked out solutions in this text provide amply opportunities for
examining some of the strategies for solving word problems.
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