York University

MATH 5200 Problem Solving - Fall Winter 2002-2003

assigment no 4, comments
assigment no 5, comments
assigment no 6
assignment no 7, comments
assigment no 8
Suggested Projects

Instructor: Martin Muldoon, N513 Ross, e-mail: muldoon@yorku.ca


Schedule: The classes are from 6 to 9 pm on Thursdays, in S525 Ross from September 19 to November 14 and January 9 to April 17. There will be a class in Reading Week (Feb 20) but not in the School Break (Mar 13).
This is a course in the MA Program in Mathematics for Teachers
Calendar Description:
This course aims to develop the student's problem solving ability by examining a variety of challenging problems from famous collections. Emphasis will be placed on problem-solving techniques of wide applicability, such as recursion and iteration methods, generating functions and power series, transformation methods, vector methods (both geometric and algebraic), and congruences.

As well as specific mathematical techniques, we will discuss general approaches, typically a list such as: "Guess and Check", "Look for a Pattern", "Make A Systematic List", "Make A Drawing Or Model", "Simplify the Problem". There will be an emphasis throughout the course on teaching problem solving and items in the school curriculum will be looked at from a problem-solving point of view. We will use the MAPLE computer algebra to generate special solutions to help in discovering solutions in more general situations.

The following books will be helpful in giving an idea of the contents of the course.

Web resources related to the course

Evaluation: There will be assignments due as follows

Oct 3Oct 17 Oct 31 Nov 14
Dec 9 Jan 30Feb 13 Mar 6
worth a total of 50%, a major project (worth 30%). Here are some suggested projects. Attendance and participation will count for 20%.
Further information will be posted here as it becomes available
Revised April 13, 2003