Effective Problem Solving by Marvin Levine.
Prentice Hall. ISBN 0-13-245481-5.
Thinking Mathematically by John Mason with Leone Burton & Kaye Stacey.
Addison-Wesley Publishing Company. ISBN 0-201-10238-2.
How to Solve It by G. Polya
Student Information Form
Please fill out the online
to help your instructor learn more about you. There is a bonus for filling out the form expeditiously and a penalty for delay. See the
It is expected that everyone in the class will participate in the mailing list. Messages may be sent to everyone on the mailing list in the same way any other email message is sent; just address such messages to WMA102-L@LISTSERV.UCONN.EDU.
Goals: The basic goal is to foster problem solving skills that can be applied throughout the college experience and the rest of life. Everything will take a back seat to that goal. Thus, some of the general policies and proceedures that hold for other courses are not in effect for this particular course.
Expectations: You should expect to do a majority of your learning outside the classroom, generally spending between six and nine hours a week working on this class. Mathematics, like most subjects, is learned by doing it, and we won't have time for you to do a lot of mathematics in class. On the other hand, you are expected to come to class and you are responsible for everything that happens in class whether you are there or not. If you miss a class, you are expected to immediately find out what happened either from me (email is wonderful for that) or from your classmates. Most of all, it is expected that you will get excited about what you are learning and to delight in your own, perhaps unexpected, ability to solve intriguing problems.
Homework: Homework will be assigned, collected and graded regularly. Homework is to be done outside of class and we will not always devote class time to the discussion of homework problems. Your written work is expected to be neat, accurate and contain written explanations using full sentences and standard English. All work must be shown; an answer without an explanation is not worth any credit. It is your responsibility to get help if you can't complete an assignment. You can come to my office, go to the Math Center, work with other students, send me email, or use any reasonable, ethical and legal method to figure out how to complete your assignments. No late assignments will be accepted.
Assignments are due and will be collected at the start of class on the due date. They may also be submitted via email (to firstname.lastname@example.org) provided they are sent and received prior to the class meeting. Assignments submitted in class but after the general collection at the start of class or submitted by email but not received prior to the class meeting will be assessed a nominal one (1) point penalty.
After assignments are graded and returned, students may optionally redo them and have them regraded. To be regraded, they must be resubmitted, along with the original graded assignment, by the next session after the original submission was returned to the class. The two grades (for the original submission and the resubmission) will be averaged to obtain the grade to be recorded for the assignment.
If a student fails to submit an assignment when it is due, he or she may submit it at the time other students would be resubmitting the same assignment. In that case, it will be treated as if the original assignment was submitted on time and earned a 0. For example, a student who earns a perfect 10 after not submitting the original on time will have grades of 0 and 10 averaged and a grade of 5 will be recorded for the assignment. Note that not only is 5 greater than 0, but the assignment will be counted towards the requirement that at least 80% of the assignments for the semester be submitted.
There is no penalty for submitting an assignment before it is due.
Graded Assignments: This listing of graded assignments is not necessarily complete.
|Number||Due Date||Exercises||".$assignmentnumber."||".$date."||".$assignment.""); } gradedassignment("1","Monday, January 31","One of 32, 33, 34"); gradedassignment("2","Monday, February 7","One of 35, 36, 37, 38"); gradedassignment("3","Monday, February 14","Crossword Puzzle Assignment"); gradedassignment("4","Wednesday, February 23","One of Bouncing Bishop, Commuter, Four Bean Heaps, Grilled Cheese"); ?>|
|5||Monday, February 28||Organization Assignment - Part I|
|6||Monday, March 14||Organization Assignment - Part II|
Problem Collections: Various collections of problems will be distributed during the course of the semester. These same problems may be downloaded here. The collections will be added to as the semester progresses. These collections are in PDF format.
|".$setno.".||".$setname."\n"); } } setshow("1","Age",TRUE); setshow("2","Planetary Voyage",TRUE); setshow("3","Games",TRUE); setshow("4","Brain Teasers",TRUE); setshow("5","Intimate Engagement",TRUE); setshow("6","Starting a Problem",TRUE); setshow("7","Externalization",TRUE); setshow("8","Organization - Matrix Problems",TRUE); setshow("9","Organization",TRUE); setshow("10","Organization - Counting",TRUE); setshow("11","Visualization",TRUE); setshow("12","Attack",TRUE); setshow("13","Attack - Special Features",TRUE); setshow("14","Attack - Special Features - Crytpoarithmetic",TRUE); setshow("15","Attack - Go to the Extremes",TRUE); setshow("16","Simplify the Problem",TRUE); setshow("17","Hidden Assumptions",TRUE); setshow("18","Attack - Conjecturing",TRUE); setshow("19","Responses to Being Stuck",TRUE); setshow("20","Cryptology",TRUE); setshow("21","Dollar Auction Project",TRUE); setshow("22","Student Contributed Problems",TRUE); ?>|
Group Projects: You will be assigned several projects during the semester to be worked on in groups. Projects will be graded on accuracy, creativity and presentation. We will begin the projects in class, but additional time outside of class will be required to complete them.
-- The first group project involves determining the most financially sensible option for making insurance payments. The Team Performance Agreement is due Wednesday, March 23, a preliminary, oral report will be made Wednesday, March 30 and the actual written report is due Wednesday, April 6.
There will be a midterm and final examination. The midterm will count for 100 points and the final will count for 150 points. There will be many homework assignments which will be graded; most will be worth 10 points but some will be worth more. There will be group projects, the value of each will be announced at the time of the assignment. At the end of the semester, the total number of points earned will be divided by the maximum number of possible points to determine the average for each student.
Since participation is so important in this course, in order to pass this course a student must complete, on time, at least 80% of the graded homework assignments.
Remember that no make-up for the midterm exam will be given.
The general principle for earning a grade for this particular course is the following.
In order to quantify the fascination exhibited, a number of extra credit opportunities will be afforded during the course of the semester, in addition to the up to ten point bonus available for simply filling out the Student Information Form quickly at the start of the semester. Exhibition of a lack of fascination will correspondingly be quantified through small penalties extracted when students submit assignments via email rather than in person. Periodically and randomly through the semester, the instructor will check his unclaimed papers file and any students who have papers in that file will be penalized.
Look here for solutions to some of the problems we investigate in class.