Dutch Driver <
ddriver@CS1.MCM.EDU> wrote:
>I cannot remember the last time I had a class with a comprehensive final exam,
>but it might be time to re-institute that old
>warhorse.
What a sad statement. My reaction is that schools have lost the will to
challenge the student, that feel-good grades and getting students out the door
with a diploma are more important than honestly assessing a student's knowledge
and ability to apply that knowledge. Back in my salad days, I had to pass three
take home exams, two and one half days of written exams, the first half day of
which was the Graduate Record Advanced Mathematics test, and an oral exam to get
my AB. That was comprehensive!
>I always used the analogy of the bow-shooting at a target to illustrate
>why students fail to gain their desired results. If you aim your arrow at
>the center of the bulls-eye and release there is no chance of hitting the
>center ring because gravity will draw the arrow down.
If you understand how the bow and its aiming system works, and set up the sight
properly, you in fact do aim at the center of the bull's-eye. Always be careful
not to over constrain a problem.
Here is a classic puzzle:
If you place 9 dots on a piece of paper in the pattern below, what is the
minimum number of straight lines needed to pass through each dot, without
removing the pencil, or pen, from the paper?
* * *
* * *
* * *
Some will answer 5 if they assume that you cannot go outside the boundary of the
square. Some will answer 4 if they do not constrain themselves to staying
within the bounary. Others will correctly answer with a number smaller than 4.
I guess its all a matter of one's perspective.
Don Kleist