A good challenge should
Possible opening sentences for challenges include
In each of the challenges on this site I have tried to pose questions that adhere to these guidelines. I hope these guidelines will serve as inspiration to teachers to pose new sorts of questions to their students and to encourage both teachers and their students to formulate and explore conjectures of their own.
“Judge a man by his questions rather than by his answers.” Voltaire “Too often we give our children answers to remember rather than problems to solve.” Roger Lewin “The formulation of a problem is often more essential than its solution, which may be merely a matter of skill.....To raise new questions, new possibilities, to regard old problems from a new angle, requires creative imagination and marks real advances.” Albert Einstein “Perplexity is the beginning of knowledge. “ Kahlil Gabran “Philosophy may be defined as the art of asking the right question…awareness of the problem outlives all solutions... The answers are questions in disguise, every new answer giving rise to new questions.” Abraham J. Heschel “Why and How are words so important that they cannot be too often used.” Napoleon Dan Finkel in Seattle has a wonderful TED talk that is very much in the spirit of this page and this website. Judah L. Schwartz
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