Basic HTML Version
Q
uantitative
R
easoning &
P
roblem
S
olving
194
© 2014 Pacific Crest
M
athematical Language
Terms and notation
validation
—
verification that what you think is true is actually true
validation of learning
— verification that the level of learning was achieved with the level of quality
desired
validation of work
— verification that a project’s specifications were met and performance criteria
were met or exceeded
Level of Knowledge
lowest
highest
Clarity Index
muddy
foggy
hazy
visible
clear
crystal clear
Level of Knowledge
Informational
Comprehension /
Understanding
Application to
New Context
Working
Expertise
New Creative
Enterprise
Evaluation or
Validation of its Quality
Breadth of Knowledge
Highlight a
piece of
knowledge
Connect
to prior
knowledge
Compare and
contrast to
prior knowledge
Differentiate
knowledge
from context
Build association
with other
knowledge
Refine the concept
map of the
knowledge area
I
nformation
What you need to know
R
eadings
S
trategies
V
alidating a
S
olution
to a
P
roblem
Do This
Explanation
Check the common
sense realities of the
situation
Does the solution to the problem make sense? For example, can a person
really run 50 miles in an hour?
Work backwards
through your problem
solving process
Reversing each step in the problem solution provides a check for your
work. A simple example is using multiplication to validate a division
problem.
Apply the solution to
the problem
See if your problem solution satisfies the conditions of the problem.
Use a second process
for solving the
problem
Use a second method to find the solution. The two solutions should be the
same.
Perform a unit
analysis
Unit analysis will ensure that the problem was set up correctly.