QUIZ MMW

Question 1

The father of problem solving

Answer 1

GEORGE POLYA 1887 - 1985

Question 2

a mathematics educator who strongly believed that the skill of problem solving can be taught

Answer 2

GEORGE POLYA 1887 - 1985

Question 3

Polya’s Four-Step Problem Solving
Strategy

Answer 3

Step 1 : Understand the problem.
Step 2 : Devise a plan.
Step 3: Carry out the plan.
Step 4: Review the solution

Question 4

Step 1 Understand the Problem

Answer 4

What is the goal?
What is being asked?
What is the condition?
What sort of a problem is it?
What is known or unknown?
Is there enough information?
Can you draw a figure to illustrate the
problem?
Is there a way to restate the problem in your own words?

Question 5

Step 2 Devise a plan

Answer 5

Act it out.
Be systematic.
Work backwards.
Consider special cases.
Eliminate possibilities.
Perform an experiment.
Draw a picture/diagram.
Make a list or table/chart.
Use a variable, such as x.
Look for a formula/formulas.
Write an equation or model.
Look for a pattern/patterns.
Use direct or indirect reasoning.
Solve a simple version of the problem.
Guess and check your answer (trial and error).

Question 6

Step 3 Carry out the plan

Answer 6

Be patient.
Work carefully.
Modify the plan or try a new plan.
Keep trying until something works.
Implement the strategy and strategies in step
Try another strategy if the first one isn’t
working.
Keep a complete and accurate record of your
work.
Be determined and don’t get discouraged if
the plan does not work immediately.

Question 7

step 4 review the solution

Answer 7

look for an easier solution
does the answer make sense?

check the results in the original problem

interpret the solution with the facts of the problem

recheck any computations involved in the solutions

can the solution be extended to a more general case?

ensure that all the conditions related to the problem are met

determine whether there is another method of finding the solution

ensure the consistency of the solution in the context of the problem

Question 8

process of translating a problem scenario into a drawing

Answer 8

strategy 1: draw a diagram picture or model

Question 9

In this strategy, data or information are organized by listing them or recording them systematically in
tables.

Answer 9

Strategy 2: Make a table or an organized list

Question 10

The data are then analyzed to discover
relationships and patterns and to draw out generalizations or solutions to the problem.

Answer 10

Strategy 3: GUESS AND CHECK

Question 11

Making a logical guess at the answer. The student learns more about the problem.

Answer 11

Strategy 3: GUESS AND CHECK

Question 12

Checking the guess.

Answer 12

Strategy 3: GUESS AND CHECK

Question 13

Using the information obtained in checking to make another guess if necessary. The student is left to make
his guess skip around so he can bracket the right answer.

Answer 13

Strategy 3: GUESS AND CHECK

Question 14

As to whether the next guess would be a smaller or a bigger number depends on how good the skill of the
learner is in estimating and logical thinking.

Answer 14

Strategy 3: GUESS AND CHECK

Question 15

Continuing the procedure until the correct answer
is obtained

Answer 15

Strategy 3: GUESS AND CHECK

Question 16

The “Work Backward” method works well for problems where a series of operations is done on an unknown number and you’re only given the result.

Answer 16

Strategy 5: Work backwards

Question 17

, start with the result and apply the operations in reverse order until you find the starting
number.

Answer 17

Strategy 5: Work backwards

Question 18

Acting out the Problem is a strategy in which people physically act out what is taking place in a word
problem

Answer 18

Strategy 4: Act it out!

Question 19

One may use people or objects exactly as described in the problem, or you might use items that represent
the people or objects.

Answer 19

Strategy 4: Act it out!

Question 20

people visualize and simulate the
actions described in the problem

Answer 20

Strategy 4: Act it out!

Question 21

Without mathematics,
there’s nothing you can
do. Everything around you is
mathematics. Everything
around you is numbers.”

Answer 21

Shakuntala Devi