Q
uantitative
R
easoning &
P
roblem
S
olving
24
© 2014 Pacific Crest
M
athematical Language
Terms and notation
For this activity, let’s look at the components of the mathematical learning experience as they are used
in this book.
Purpose
— provides the relevance and importance of this mathematical knowledge in the production
of strong quantitative reasoning and problem solving skills
Goals
— the learning outcomes desired for this mathematical learning experience; what you can do
with knowledge at the end of the activity
Discovery
— a 10 to 20 minute exploration of mathematics using the mindset of a scientist who
is doing an experiment and using the scientific methodology. The goal is to stimulate an
inquiry-based mindset.
What You Already Know
— the terms, concepts, and transferable knowledge that a student should
know and apply in order to be successful in fulfilling the Learning Objectives and Goals.
This section triggers prerequisite knowledge for the activity allowing a learner to assess
his or her readiness for new learning and, on the basis of the assessment, seek to strengthen
current knowledge before continuing.
Mathematical Language
— terms and concepts are defined so that learners can work with the
nuances of the language (words and notation) and more quickly understand the precise
terminology, concepts, symbols, and relationships between the terms. This is foundational to
grasping the Methodologies and Models that appear in the experience.
I
nformation
What you need to know
R
eadings
R
esources
M
ethodology
T
he
R
eading
M
ethodology
Step
Explanation
1. Establish purpose
Determine why you’re reading the material.
2. Set learning
objectives
Determine what you want to learn from the reading.
3. Set performance
criteria
Determine how you’ll know you read successfully.
4. Estimate time
involved
Browse the reading to determine the level of difficulty, and how long it should
take you to complete the reading.
5. Vocabulary terms
Browse the reading for vocabulary terms that are unfamiliar (keep a
dictionary handy to look up unfamiliar words and write down definitions so
you can refer back to them).
6. Outline
Survey the structure of the reading, so you understand the organization of
content.