A little bucket, one-third full, is 8 inches deep, and its upper
and lower diameters are 7 inches and 6 inches, respectively. How
large is the frog which, jumping into the bucket, causes the water
to rise 3 inches? Word problems not unlike this example are a
staple on math tests and of abiding interest to students, teachers,
and professional mathematicians alike. Frank Swetz, a highly
regarded mathematics educator, gathers hundreds of these problems
in this fun and fascinating introduction to mathematics from around
the world.
"Mathematical Expeditions" is a collection of over 500
culturally and historically diverse mathematical problems carefully
chosen to enrich mathematics teaching from middle school through
the college level. What better way to teach students the
multicultural aspects of math than by assigning them problems first
composed on clay tablets by Babylonian scribes, included in the
Rhind papyrus, or Vedic problems scratched on tree bark? From Egypt
to Greece to China to India, Swetz's problems--both practical and
abstract--span centuries and cultures.
Swetz has organized the problems by culture and historical
period, showing, through the various constructs and contexts of the
problems, the history and development of mathematics throughout the
world. Along the way, he tells us what various cultures knew about
math and how they came to learn it, providing instructors with a
wonderful way to incorporate multicultural mathematics into the
middle school, high school, and college classroom.
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