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Conjectures and Counterexamples

Learn how to make educated guesses, or conjectures, to problems, as well as how to disprove incorrect guesses with counterexamples.

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Conjectures And Counterexamples
Teacher Contributed

RWA Conjectures and Counterexamples


Conjecture and History


  • Conjecture
  • Counterexample

Student Exploration

“What do you do, then, if you're writing an account of some historical event or some historical period or some individual's life and career and you come to a point where the available information thins out, and you don't know for sure what happened next? What if there appear to be no documents that provide that information? Or if there are several documents that give conflicting information?”

You make conjectures. Read more here http://mises.org/daily/5503/Conjecture-and-History

What will disprove this conjecture one day is a counterexample.

Teaching Conjecture as Fact? - http://www.librarything.com/topic/71882

How were the pyramids built?

Extension Investigation

Have students research a historical mystery in pairs. One student comes up with conjectures and the other tries to find counterexamples to make the conjecture false.

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