In honor of 2006 being the 300th anniversary of the use of the sixteenth lowercase letter from the Greek alphabet to stand for the ratio of a circle’s circumference to its diameter, I share the following special version of my “American Pi” song for your Pi Day celebrations! Additional suggestions for celebration are in Lesser (2004).
The chorus can be used by itself just to give students a powerful way (in only 15 seconds) to remember the first 6 significant figures, and whose verses give even your advanced students plenty of points of departure for mathematics and mathematics history enrichment! Earlier versions of “American Pi” originally appeared in Lesser (2000) and in Posamentier and Lehmann (2004). The melody of this song has been on the charts across generations – in 2000 by Madonna, and a #1 hit in 1971 by Don McLean. We know many math teachers and math clubs around the country have written their own pi songs, such as (Lewellen 1987) who uses a melody literally generated by pi’s opening digits!
References
Lesser, Larry. “Slices of Pi: Rounding Up Ideas for Celebrating Pi Day.” Texas Mathematics Teacher, 51 (Fall 2004): 6-11. (the issue is also available at http://www.tenet.edu/tctm/downloads/TMT_Fall_04.pdf)
Lesser, Lawrence Mark. “Sum of Songs: Making Mathematics Less Monotone!” Mathematics Teacher, 93 (May 2000): 372-377.
Lewellen, Hester. “Sing pi” [Reader Reflections letter]. Mathematics Teacher, 80 (April 1987): 264.
Posamentier, Alfred S. and Ingmar Lehmann. Pi: A Biography of the World’s Most Mysterious Number. Amherst, NY: Prometheus Books, 2004.
In honor of 2006 being the 300th anniversary of the use of the sixteenth lowercase letter from the Greek alphabet to stand for the ratio of a circle’s circumference to its diameter, I share the following special version of my “American Pi” song for your Pi Day celebrations! Additional suggestions for celebration are in Lesser (2004).
The chorus can be used by itself just to give students a powerful way (in only 15 seconds) to remember the first 6 significant figures, and whose verses give even your advanced students plenty of points of departure for mathematics and mathematics history enrichment! Earlier versions of “American Pi” originally appeared in Lesser (2000) and in Posamentier and Lehmann (2004). The melody of this song has been on the charts across generations – in 2000 by Madonna, and a #1 hit in 1971 by Don McLean. We know many math teachers and math clubs around the country have written their own pi songs, such as (Lewellen 1987) who uses a melody literally generated by pi’s opening digits!
References
Lesser, Larry. “Slices of Pi: Rounding Up Ideas for Celebrating Pi Day.” Texas Mathematics Teacher, 51 (Fall 2004): 6-11. (the issue is also available at http://www.tenet.edu/tctm/downloads/TMT_Fall_04.pdf)
Lesser, Lawrence Mark. “Sum of Songs: Making Mathematics Less Monotone!” Mathematics Teacher, 93 (May 2000): 372-377.
Lewellen, Hester. “Sing pi” [Reader Reflections letter]. Mathematics Teacher, 80 (April 1987): 264.
Posamentier, Alfred S. and Ingmar Lehmann. Pi: A Biography of the World’s Most Mysterious Number. Amherst, NY: Prometheus Books, 2004.
“American Pi”
(words © 1998-2005 Larry Lesser; music: Don McLean’s “American Pie”)
Find, find the value of pi,
Starts 3 point 1 4 1 5 9.
Good ol’ boys gave it a try,
But the decimal never dies, the decimal never dies.........
In the Bible we do see the circle ratio appears as three,
Or a little more....
That genius Archimedes found with polygons, an upper bound
Of 22 sevenths for sure!
The Chinese got it really keen: three-five-five over one thirteen!
More joined the action with arctan series and continued fractions.
In the 1700’s, my oh my, the English coined the symbol π,
Then Lambert showed it was a lie to look for rational pi.
He started singing ..........
Find, find the value of pi
Twice 11 over 7 is a mighty fine try
A good ol’ fraction you might hope to supply,
But the decimal never dies, the decimal never dies.
Late 1800’s, Lindemann shared why a circle can’t be squared
But some folks tried anyway--
Like the Indiana doctor who said pi was 4 or 3.2
And thought his proof should be a law someday.
The Indiana congressmen
Discussed his paper there and then
A bill got through the House by a vote unanimous!
But in the end the statesmen sighed, “It’s not for us to decide,”
So the bill was left to die Like the quest for rational pi.
They started singing ........
Find, find the value of pi
Buffon’s needle popped the bubble of that ol’ doctor’s try
A good ol’ fraction could not be supplied
‘Cause the decimal never dies, the decimal never dies.
That doctor’s pi in the sky dreams may not look so extreme
‘Cause we long believed
Deductive systems could be complete and there was one true geometry.
But now there’s more we see
In these computer times, we test the best machines to find
pi to a trillion places that so far lack pattern’s traces.
It’s great when we can truly see math as human history--
That adds curiosity...... easy as pi!
Let’s all try singing.....
Find, find the value of pi
3 point 1 4 1 5 9 2 6 5 3 5 8 9...
A good ol’ fraction you might hope to define
But the decimal never dies, the decimal never dies.
Listen to the author perform the song, and find links to additional information on its popularity and use in teaching.