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T
roubleshooting
Find the error and correct it!
Identify the error and provide a correction:
Selecting the date for the fathers and daughters dancewas a complex problem that required the cooperation
of multiple institutions. The Dance Committee worked hard every year to make the event as special
and inclusive as possible. Because it was pointed out that some dads have more than one daughter,
the committee decided that the dance would henceforth be open to all children between the ages of 6
and 14 and their fathers. It is something of a proud tradition that the dance has been held in April for
the last 10 years; everyone on the committee agreed that April was best. (“Plus, we can decorate with
tulips!” pointed out Missy Weatherall, who just happened to also own the local nursery.) Eventually the
committee selected April 12th because the calendar showed spring vacation taking the last week of April
and Easter falling during the week of April 18th to 20th. Once the date was set, Tonja Davis pointed out
that the Girl Scouts had scheduled an event for the same day (and they scheduled it just over 8 months
ago and have already published the event in multiple locations). Shortly thereafter, Mr. Mirré spoke up
and reminded the committee that there was a 4-day trip to Quebec planned for the high school students
who were taking French this year and that plane tickets had already been purchased by more than 60
families, including Ms. Weatherall’s niece, if memory served correctly.
M
aking it Matter
Solving problems in your life
Use the Problem Solving Methodology to solve your problems in financing your college education.
Use a worksheet to document your efforts.
L
earning to Learn Mathematics
Reflecting on and appreciating your learning
1. What is the relationship between learning and problem solving? How are they related and how do
they differ from one another?
2. When it comes to mathematical reasoning, how important is it to identify issues and assumptions?
3. Why is validation important when reasoning quantitatively and solving problems? When or how do
you know that you have validated something?
A
ssessing Your Performance
Assessing your performance as a learner
Review the description of
A Successful Performance
and assess your own performance against the
standard offered there.
How and why was your performance
SUCCESSFUL
?
How can you
IMPROVE
your performance, making it more successful? What
concrete steps
do you
need to take to make each improvement?
4.1 The Problem Solving Methodology