PangInquiry

# PangInquiry - & May292004 A/PPeterPang ,NUS Specificity...

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Mathematical Problems  & Inquiry in Mathematics AME Tenth Anniversary Meeting  May 29 2004 A/P Peter Pang Department of Mathematics and  University Scholars Programme, NUS

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Four Important Concepts Specificity Generality Specialization Generalization
D F 3 7 Each card has a number on one side and a letter on the  other.  Claim: “If a card has ‘D’ on one side, then it has a ‘3’ on  the other.” Which cards do you  need  to turn over to find out if this  is true?

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You are a bouncer in a bar. You must make sure that  there are no under-age (below 21) drinkers.  There are 4 customers (A—D) in the bar. You know what  2 of them are drinking and you know the age of the other  2. Customer A is drinking beer Customer B is drinking coke Customer C is 25 years old Customer D is 16 years old Which of the 4 customers do you need to check to do  your job?
What is a maths problem? One (possibly the most?) important aspect of inquiry in  mathematics is to find a problem One important quality of a maths problem has to do with  the notions of specificity and generality Consider the following problems: If x = 2 and y = 4, show that x + y = 6 If x is even and y is even, show that x + y is even

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Define “even” A number is even is it is two times a natural number;  equivalently, an even number is divisible by 2, i.e., when
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