FOLLOWING
EXERCISES
The following is designed to assess a composite of attitudes, knowledge, and skills. The ability to think critically is generally regarded as a major goal of academic instruction. It is also known to play an important role in many kinds of occupations, particularly those in which careful, analytical thinking is an essential part of the job.
The following exercises help you assess your:
* ability to define a
problem
* ability to select pertinent information for the solution of a problem
* ability to recognize stated and unstated assumptions
* ability to formulate
and select relevant and promising hypotheses
* ability to draw valid
conclusions and judge the validity of inferences.
These five ability areas are measured by five subtests of the FOLLOWING EXERCISES. They are: inference, recognition of assumptions, deduction, interpretation, and evaluation of arguments. The questions on this test include problems, statements, arguments, and interpretations of data similar to those that are encountered on a daily basis at work, in the classroom, and in newspaper and magazine articles.
The FOLLOWING EXERCISES call for responses to two different
kinds of item content. Items having “neutral” content deal with the
weather, scientific facts or experiments, and other subject matter about which
people generally do not have strong feelings or prejudices. Items having
“controversial” content, although approximately parallel in logical
structure to neutral items, refer to political, economic, and social issues
that frequently provoke very strong feelings. Research has shown that strong
attitudes, opinions, and biases affect the ability of some people to think
critically. A description of each type of problem is provided below.
Inference
An inference is a conclusion a person can draw from certain
observed or supposed facts. For example, if the lights are on in a house and
music can be heard coming from the house, a person might infer that someone is
at home. But this inference may or may not be correct. Possibly the people in the
house did not turn the lights and the radio off when they left the house.
Each exercise begins with a statement of facts that you are to
regard as true. After each statement of facts you will find several possible
inference - that is, conclusions
that some persons might draw from the stated facts. Examine each inference
separately, and make a decision as to its degree of truth or falsity.
For each inference you will find spaces labeled T, PT, ID, PF, F. For each inference make a mark under the appropriate heading as follows:
T – if you think the inference is definitely TRUE: that
it properly follows beyond a reasonable doubt from the statement of facts
given.
PT – if, in the light of the facts given, you think the
inference is PROBABLY TRUE; that it is more likely to be true rather than
false.
ID – if you decide that there are INSUFFICIENT DATA; that
you cannot tell from the facts given whether the inference is likely to be true
or false; if the facts provide no basis for judging one way or the other.
PF – if, in the light of the facts given, you think the
inference is PROBABLY FALSE; that it is more likely to be false than true.
F – if you think the inference is definitely FALSE; that
it is wrong, either because it misinterprets the facts given, or because it
contradicts the facts or necessary inferences from those facts.
Sometimes, in deciding whether an inference is probably true or
probably false, you will have to use certain commonly accepted knowledge or
information that practically every person has. This will be illustrated in the
example that follows.
Sample Inference Problems
Two hundred students in their early teens voluntarily attended
a recent weekend student conference in a Midwestern city. At this conference, the
topics of race relations and means of achieving lasting world peace were
discussed, since these were the problems the students selected as being most
vital in today's world.
1. As a group, the students who attended this conference showed
a keener interest in broad social problems than do most other students in their
early teens.
T
PT
ID
PF
F
2. The majority of the students had not previously discussed
the conference topics in their schools.
T
PT
ID
PF
F
3. The students came from all sections of the country.
T
PT
ID
PF
F
4. The students discussed mainly labor relations problems.
T
PT
ID
PF
F
5. Some teenage students felt it worthwhile to discuss problems
of race relations and ways of achieving world peace.
T
PT
ID
PF
F
Recognition of Assumptions
An assumption is something presupposed or taken for granted.
When you say, "I'll graduate in June," you take for granted or assume
that you will be alive in June, that your school will judge you to be eligible
for graduation in June, and similar things.
In the following exercise you will see a number of statements.
Each statement is followed by several proposed assumptions. You are to decide
for each assumption whether a person, in making the given statement, is really
making that assumption-that is, taking it for granted, justifiably or not.
If you think that the given assumption is taken for granted in
the statement, choose ASSUMPTION MADE as your answer. If you think the
assumption is not necessarily taken for granted in the statement, choose
ASSUMPTION NOT MADE as your answer.
Remember to judge each assumption independently.
Sample Recognition of Assumptions Problems
Statement: "We need to save time in getting there so we'd
better go by plane."
Proposed assumptions:
6. Going by plane will take less time than going by some other
means of transportation.
ASSUMPTION MADE
ASSUMPTION NOT MADE
7. There is plane service available to us for at least part of
the distance to the destination.
ASSUMPTION MADE
ASSUMPTION NOT MADE
8. Travel by plane is more convenient than travel by train.
ASSUMPTION MADE
ASSUMPTION NOT MADE
Deduction
In the following, each exercise consists of several statements
(premises) followed by several suggested conclusions. For our purposes, consider
the statements in each exercise as true without exception. Read the first
conclusion beneath the statements. If you think it necessarily follows from the
statements given, choose CONCLUSION FOLLOWS as your answer. If you think it is
not a necessary conclusion from the statements given, choose CONCLUSION DOES
NOT FOLLOW as your answer, even though you may believe it to be true from your
general knowledge.
Likewise, read and judge each of the other conclusions. Try not
to let your prejudices influence your judgment-just stick to the given
statement (premises) and judge each conclusion as to whether it necessarily
follows from them.
The word "some" in any of these statements means an
indefinite part or quantity of a class of things. "Some" means at least
a portion, and perhaps all of the class. Thus, "SOME holidays are
rainy" MEANS AT LEAST ONE, possibly more than one, and perhaps even all
holidays are rainy.
Sample Deduction Problems
Statement: Some holidays are rainy. All rainy days are boring. Therefore-
Deductions:
9. No clear days are boring.
CONCLUSION FOLLOWS
CONCLUSION DOES NOT FOLLOW
10. Some holidays are boring.
CONCLUSION FOLLOWS
CONCLUSION DOES NOT FOLLOW
11. Some holidays are not boring.
CONCLUSION FOLLOWS
CONCLUSION DOES NOT FOLLOW
Interpretation
Each exercise consists of a short paragraph followed by several
suggested conclusions.
For our purposes, assume that everything in the short paragraph
is true. The problem is to judge whether or not each of the proposed
conclusions logically follows beyond a reasonable doubt from the information
given in the paragraph.
If you think that the proposed conclusion follows beyond a
reasonable doubt (even though it may not follow absolutely and necessarily),
choose CONCLUSION FOLLOWS as your answer. If you think that the conclusion does
not follow beyond a reasonable doubt from the facts given, then choose
CONCLUSION DOES NOT FOLLOW as your answer. Remember to judge each conclusion
independently.
Sample Interpretation Problems
Statement: A study of vocabulary growth in children from eight
months to six years old shows that the size of spoken vocabulary increases from
zero words at age eight months to 2562 words at age six years.
Interpretations:
12. None of the children in this study had learned to talk by
the age of six months.
CONCLUSION FOLLOWS
CONCLUSION DOES NOT FOLLOW
13. Vocabulary growth is slowest during the period when
children are learning to walk.
CONCLUSION FOLLOWS
CONCLUSION DOES NOT FOLLOW
Evaluation of Arguments
In making decision about important questions, it is desirable
to be able to distinguish between arguments that are strong and arguments that
are weak, as far as the question at issue is concerned. For an argument to be
strong, it must be both important and directly related to the question.
An argument is weak if it is not directly related to the
question (even though it may be of great general importance), or if it is of
minor importance, or if it is related only to trivial aspects of the question.
Each question is followed by several arguments. For our
purposes, you are to regard each argument as true. The problem then is to
decide whether it is a strong or weak argument.
Choose ARGUMENT STRONG as your answer if you think the argument
is strong, or ARGUMENT WEAK if you think the argument is weak. Judge each
argument separately on its own merit.
Sample Evaluation of Arguments Problems
Statement: Should all young men in the United States go to
college?
Evaluation of Arguments:
14. Yes; college provides an opportunity for them to learn
school songs and cheers.
ARGUMENT STRONG
ARGUMENT WEAK
15 No; a large percent of young men do not have enough ability
or interest to derive any benefit from college training.
ARGUMENT STRONG
ARGUMENT WEAK
16. No: excessive studying permanently warps an individual's
personality
ARGUMENT STRONG
ARGUMENT WEAK