How to Solve It Principles

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Questions and Answers

What is the first step suggested by George Pólya when solving a mathematical problem?

Understand the problem (correct)
Look back on your work
Carry out the plan
Make a plan

According to Pólya, what should be done if one cannot solve the proposed problem?

Take a break and come back to it later
Abandon the problem and move on
Seek help from others immediately
Try to solve first some related problem (correct)

What does Pólya emphasize as often neglected in mathematics classes?

Looking back on your work
Carrying out the plan
Understanding the problem (correct)
Making a plan

According to Pólya, why are students often stymied in their efforts to solve a problem?

They don't understand the problem fully (A) Signup and view all the answers

What does Pólya advise teachers to do in order to prompt each student with appropriate questions?

Prompt each student with appropriate questions (A) Signup and view all the answers

What is statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. Signup and view all the answers

What is the conventional starting point when applying statistics to a problem?

It is conventional to begin with a statistical population or a statistical model to be studied. Signup and view all the answers

What does statistics deal with?

Statistics deals with every aspect of data, including the planning of data collection in terms of the design of surveys and experiments. Signup and view all the answers

How do statisticians collect data when census data cannot be collected?

Statisticians collect data by developing specific experiment designs and survey samples. Signup and view all the answers

What does representative sampling assure?

Representative sampling assures that inferences and conclusions can reasonably extend from the sample to the population as a whole. Signup and view all the answers

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