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Transcript of Energize, Engage, Empower Student Thinking & Learning with Spreadsheet Simulations Scott A. Sinex...
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Energize, Engage, EmpowerStudent Thinking & Learningwith Spreadsheet Simulations
Scott A. SinexPhysical Sciences & Engineering
Prince George’s Community College
13 April 2012
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Let’s roll the die… dice…
die… dice…
What does the distribution of face numbers look like?
How long would it take if rolling by hand?
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So let’s roll in a spreadsheet…
=RANDBETWEEN(1,6)
Calculation for each roll of a die
face number
freq
uen
cy
Predict what the graph would look
like!
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To die for: What are the chances?
We can investigate variability!
http://academic.pgcc.edu/~ssinex/excelets/dice_roll.xls
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Why interactive spreadsheets?
• Easy access for students and teachers and useful for them to know
• Easy for instructors to develop – see Developer’s Guide to Excelets
• Creates an engaging pedagogy in math and the sciences
“Excel to Engage”
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…more why?
• Addresses topics conceptually, while camouflaging mathematics– Students have to think:
predict - test - analyze
• Allows for mathematical modeling and studying errors– More science process– More multivariable approach (more real
world)
– Mathematics resurfaces!!!!
…and explain!!!
Yes it returns!!!(Even more)
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Data
Mathematical model
Numerical simulation
Do some big time science…
…and use some math
Fine print: Never remove experiments for simulations, add simulations to extend your experiments!
Go AMATYC!
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…and address important human interest questions such as:
Why is pizza cut in even number of slices?
Do you want pepperoni?
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http://academic.pgcc.edu/~ssinex/excelets/fractions.xls
Here we use spinner from the Forms toolbar. The Forms Tools operate on both PC and Mac platforms.
A simple interactive visual
and for even slices, a straight
cut!
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Construct complicated models
Is there a relationship between the height of the cookie stack and number of cookies?
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“Just add data” Excelet
http://academic.pgcc.edu/~ssinex/cookies_stack.xls
data
mathematical model
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Do reverse science processbackwards
How does the height of the candle vary over time?
Use the simulation to get the modelideal ^
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How does a burning candle behave?
http://academic.pgcc.edu/~ssinex/excelets/burning_candles.xls
Here we collect the data by clicking the up arrow on the spinner.
animation
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…adding error to the data
Scatter is added to the data by increasing random error.
=E6+$K$7*RANDBETWEEN(-10,10)/10+$G$10
The circled scroll bar controls the size of random variation.
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coastalcare.org
October 2010 – Collapsed house on Holland Island (?) in Chesapeake Bay!
island?
Is sea level changing?
http://en.wikipedia.org/wiki/Holland_Island
October 2009 - Last house on Holland Island in Chesapeake Bay
island
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What does tide gauge data tell us?
Option buttons allow which data set is viewed.
http://academic.pgcc.edu/~ssinex/excelets/inundator.xls
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But can just anyone do this?
YES!!!
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Building a simulation
• Let’s construct a model for the behavior of the quadratic equation
• Our multivariable equation y = ax2 + bx + c
• How does the graph behave when we vary a, b, and c?
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Set-up screen
Simulation of Quadratic Equation Behaviorhttp://academic.pgcc.edu/~ssinex/excelets/NC/Simulation_QuadraticEqn_NC.pdf
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Baseball pop-up and quadratic…
Multivariableand a practical
application
http://academic.pgcc.edu/~ssinex/excelets/quadratics.xls
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The “How to” resources...
Developer's Guide to Excelets: Dynamic and Interactive Visualization with "Javaless" Applets or Interactive Excel Spreadsheets
<http://academic.pgcc.edu/~ssinex/excelets>
Tutorial, instructions, and a variety of interactive Excel spreadsheet
examples
Resource list for mathematics and science
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In the end…
• Easy access technology both in & out of class
• An engaging pedagogy
• More scientific and algebraic thinking
• More multivariable (real world) approach
• Can venture into some more complicated concepts (keep math camouflaged)
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More info…
• Scott Sinex [email protected]
http://academic.pgcc.edu/~ssinex
• Google or Bing: excelets
…and THANKS for attending!!!
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More resources…
• Pittsburgh Supercomputing Center Computation and Science Teachers (CAST) Professional Development Modules (uses Excel, Vensim, and NetLogo)
http://www.psc.edu/eot/k12/2011yr.php
• Modules 2A, 5A, and 6 – use Excel