PangInquiry

PangInquiry - MathematicalProblems &InquiryinMathematics

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
    Mathematical Problems  AME Tenth Anniversary Meeting  May 29 2004 A/P Peter Pang Department of Mathematics and  University Scholars Programme, NUS
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
    Four Important Concepts Specificity Generality Specialization Generalization
Background image of page 2
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?
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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? 
Background image of page 4
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
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Define “even” A number is even is it is two times a natural number; 
Background image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/11/2011 for the course MATH 112 taught by Professor Jarvis during the Winter '08 term at BYU.

Page1 / 22

PangInquiry - MathematicalProblems &InquiryinMathematics

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online