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© 2014 Pacific Crest
11
H
ardest Problem
How hard
can
it be? Can you still use what you’ve learned?
Based on the Model, the Methodology, and the Demonstrate Your Understanding (DYU) problems in
this activity, create the
hardest
problem you can. Start with the hardest DYU problem in this experience
and by contrasting and comparing it with the other DYU problems, play “What if” with the different
conditions and parameters in the various problems.
Can you still solve the problem? If so, solve it. If not, explain why not.
What are the conditions and parameters that make a problem involving the Learning Process a difficult
problem to solve?
T
roubleshooting
Find the error and correct it!
Identify the error and provide a correction:
A friend told me that I would never forget how to divide fractions if I just memorized this little
rhyme: “Mine is not to reason why, just invert and multiply.” I love this; it is simple and trustworthy.
I’m lucky to have such a smart friend!
M
aking it Matter
Solving problems in your life
●
Too often, we have strong insights or learning breakthroughs, but don’t spend the time required
to appreciate the gains we’ve made. Take this opportunity to list ten things (insights, ideas,
breakthroughs, lessons, connections, etc.) that you have gained through using the Learning Process
Methodology that will improve how you learn mathematics, regardless of the type of mathematics.
●
Think through the generalization and future use and practice of the Learning Process Methodology
by taking the time to reviewing the remainder of this book. Think about how you are going to use
the LPM as a tool as you work to solve problems in each of the activities. Document and share your
thinking/planning.
L
earning to Learn Mathematics
Reflecting on and appreciating your learning
1. Which steps of the Learning Process Methodology did you skip when learning mathematics in the
past?
2. Which step or steps of the Learning Process Methodology are the most critical when it comes to
learning mathematics? Explain your answer.
3. Which step do you think is the most important when it comes to
improving
how you learn
mathematics?
1.1 The Learning Process Methodology