Modeling Elasticity With Algebra
Develop Math and Science Practices as students experiment
with elasticity and interpret results using mathematics.
November 8, 2014
Presenter:
Vicki Vierra, Ph.D.
vvierra@vcoe.org
GOAL:
To create students who are college and
career ready
MEANS:
Develop 21st Century skills – the 4 “C”s –
Communication, Collaboration, Creativity,
and Critical Thinking.
Agenda:
3

Welcome & Introductions

Standards for Mathematical Practice

Scientific and Engineering Practices

The Practices in Action - Hooked on Algebra
Introductions
Please share:
 Name and site
 Classes
 One
you teach
of your personal numbers
4
Never Tell An Answer
Please remember the enormous
responsibility we all have as learners
not to spoil anybody else’s fun.
The quickest way to spoil someone else’s
fun is to tell them an answer before they
have a chance to discover it themselves.
Susan Pirie
Think-Pair-Share
Think:
What are the characteristics of a good problem
solver? In science? In math? Does it matter?
Pair – talk to a partner
Share with the group
Part 1: Standards for
Mathematical Practice
1.
Make sense of problems and persevere in
solving them
…start by explaining the meaning of a problem and looking for
entry points to its solution
2.
Reason abstractly and quantitatively
…make sense of quantities and their relationships to
problem situations
3.
Construct viable arguments and critique the
reasoning of others
…understand and use stated assumptions, definitions, and
previously established results in constructing arguments
4.
7
Model with mathematics
…can apply the mathematics they know to solve problems arising in
everyday life, society, and the workplace
Part 2: Standards for
Mathematical Practice
5.
Use appropriate tools strategically
…consider the available tools when solving a
mathematical problem
6.
Attend to precision
…communicate precisely using clear definitions and
calculate accurately and efficiently
7.
Look for and make use of structure
…look closely to discern a pattern or structure
8.
Look for and express regularity in
repeated reasoning
…notice if calculations are repeated, and look for both
general methods and for shortcuts
8
8 Scientific & Engineering Practices
1.
2.
3.
4.
5.
6.
7.
8.
Asking questions for science & defining problems for
engineering
Planning & carrying out investigations
Analyzing & interpreting data
Developing & using models
Constructing explanations for science & designing
solutions for engineering
Evidence-based argumentation
Using mathematics & computational thinking
Obtaining, evaluating, and communicating
information
Hooked on Algebra

Models for Understanding Linear Functions
Elasticity is the ability of a material to spring back to
its original shape and size after it has been stretched
 Robert Hooke called the force acting upon a material
the stress, and the elongation it produces the
strain
 Complete the experiment, graph your data, and write
about what you notice
 Based on your work, what is the relationship between
the stress and the strain?

What Are We Doing?

Where in the world does Hooked on Algebra fit?
Is it math?
 Is it science?
 Are math practices addressed?
 Are science and engineering practices addressed?


Explain your rationale
Thank you !
Thanks for all your
Communication, Collaboration,
Creativity and Critical thinking!
Vicki Vierra
vvierra@vcoe.org