Q
uantitative
R
easoning &
P
roblem
S
olving
4
© 2014 Pacific Crest
●
Skipping Step 6 (vocabulary) and hoping to either pick up meaning from context or that an
instructor will explain it clearly
Example
: In long division, what is the
quotient
,
divisor
, and
dividend
?
Why?
When representations change, such as moving from long division to representation
with a fraction, which is the
numerator
? Which is the
divisor
and which is the
dividend
? Unless you really know what the words mean, the shifting of context and
representations will confuse you.
●
Not taking advantage of Step 3 (prerequisites) where this knowledge will be used in the learning
Example
: Converting fractions into decimals
Why?
The prior knowledge that a division problem can be represented as a fraction allows
the learner to transfer the prior knowledge of long division to the process of converting
fractions into decimals. Tapping into what you already know saves time and makes
learning much more efficient.
A
re You Ready?
Before continuing, you should be able to ...
I can...
OR
Here’s my question...
recognize the different Levels of Learner
Knowledge
explain what learning skills have to do
with the learning process
explain the steps of the Learning Process
Methodology
P
lan
Strategy for completing this activity
1. Review the Learning Process Methodology and share any questions you have about it.
2. Working individually, carefully read through the Model (Learning to Multiply and Divide Fractions).
Then use the
Assessing Application of the Learning Process Methodology
form (available on the
companion website), to determine the strengths, areas for improvement, and any insights you have
for each step of the Model’s use of the LPM.
3. Discuss the results of your analysis and assessment with your group.
4. Answer the Critical Thinking Questions as a group, recording the answers yourself.
5. Complete the remainder of this activity (from Demonstrate Your Understanding through Assessing
Your Performance) on your own, or as directed by your instructor.