THINKER'S ALMANAC - December 21

How, using a barometer, did a student give his teachers a lesson in creativity?

Subject: Creative Thinking - Functional Fixedness

Event:  The story “Angels on the Head of a Pin” appears in The Saturday Review, 1968

Children must be taught how to think, not what to think. -Margaret Mead

On this day in 1968, Alexander Calandra published a story in The Saturday Review magazine entitled “Angels on the Head of a Pin.”

In the story, Calandra recounts his interaction with a physics student who was referred to him by another instructor who requested that Calandra referee the student’s unconventional answer to a test question.

The question on the exam was “Show how it is possible to determine the height of a tall building with the aid of a barometer.”  

                                                            Image by OpenClipart-Vectors from Pixabay 

The student responded to the question as follows:  “Take a barometer to the top of the building, attach a long rope to it, lower the barometer to the street and then bring it up, measuring the length of the rope.  The length of the rope is the height of the building.”

Although the student’s answer was correct, it clearly did not reflect the instructor’s expectation that a student answers the question in a way that reveals a competence in physics.  A correct answer would involve using the barometer to measure the difference between the pressure at the top of the building and the bottom.

Offering the student a second chance to answer the question, Calandra gave the student six minutes.  This time the student-generated the following answer: 

"Take the barometer to the top of the building and lean over the edge of the roof. Drop that barometer, timing its fall with a stopwatch. Then using the formula S = ½ a t2, one could easily calculate the height of the building.”

Intrigued by the student’s thinking, Calandra asked him what other solutions he had to the problem.  The student then proceeds to give four more possible methods.  One, involving a comparison of the shadows cast by the barometer and the building; two, using the barometer as a ruler and marking off the length of the barometer on the wall while climbing the stairs; three, using the barometer on the end of a string to make a pendulum; and four, knocking on the janitor’s door and asking him the following: "I have a fine barometer which will be yours if you tell me the height of this building.”

The truly fascinating thing about Calandra’s parable is that it is the student who is being tested who becomes the teacher, supplying Calandra and the reader with a powerful lesson in flexible thinking.  Too often students are taught one, supposedly acceptable way to solve a problem, rather than being encouraged to use their creativity to explore multiple correct possibilities.  

The student was courageously resisting functional fixedness, the type of thinking that limits solutions to conventional, acceptable answers and discourages new ideas and innovative thinking.  

For example, try the following brain teaser:

What is the capital of Antarctica?

If you Google the question, searching for a city, you’ll discover that Antarctica has no cities, let alone a capital city.  However, if you look at the question with a bit more of a flexible mindset, you might realize that the word “capital” can also refer to letters; therefore, the answer is capital A.

 

Recall, Retrieve, Recite, Ruminate, Reflect, Reason:  What is functional fixedness, and how does it limit creative thinking?

Challenge - Defenestrate The Box:  As the student illustrated in the story, functional fixedness can hinder creative thinking.  Do a bit of research on creative problem solving, and write a public service announcement that encourages people to think outside of the box.  What are important characteristics and habits of creative thinking, and how can people apply these habits to think more creatively?

ALSO ON THIS DAY:

December 21, 2002:  On this day, President George W. Bush was meeting with his closest advisors in the Oval Office to review the evidence for the existence of weapons of mass destruction (WMD) in Iraq.  Determining whether or not Iraq had such weapons was crucial in the president’s decision on whether or not to commit U.S. forces to the invasion of Iraq.  At one point in the meeting, President Bush turned to CIA Director George Tenet, asking him how confident he was that Iraq had WMDs.  His reply was, “Don’t worry, it’s a slam dunk!” In using a basketball metaphor, Tenet was expressing his belief that the presence of WMDs was a sure thing.  History tells us that Tenet might have been better served by selecting a different metaphor considering the fact that the eventual absence of WMDs became a huge embarrassment for the Bush administration after the U.S. invaded Iraq in March 2003.

Sources:

1-Calandra, Alexander. “Angels on a Pin.” Saturday Review 21 Dec. 1968.