Enhancing stem curriculum with matlab and o nline resources
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Enhancing STEM Curriculum with MATLAB and O nline Resources. Dr. David Torres Northern New Mexico College 2011 NSF Robert Noyce Conference July 7, 2011 . Northern New Mexico College. Two-year and four-year college in Espanola, New Mexico Enrollment is approximately 2300 students

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Enhancing STEM Curriculum with MATLAB and O nline Resources

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Enhancing STEM Curriculum with MATLAB and Online Resources

Dr. David Torres

Northern New Mexico College

2011 NSF Robert Noyce Conference

July 7, 2011


Northern New Mexico College

  • Two-year and four-year college in Espanola, New Mexico

  • Enrollment is approximately 2300 students

  • Hispanic Serving Institution

    • 70% Hispanic

    • 8% Native American

  • Rural

  • Bachelors Degrees

    • Mechanical, Software Engineering

    • Mathematics, Biology, Environmental Science

    • Education


Friday Academy

  • Students from Carlos Vigil Middle School in Espanola explore fun activities in mathematics, chemistry, biology and writing at Northern New Mexico College on Fridays.

  • This presentation is based on the challenge of making the mathematics component of that curriculum engaging to middle school students.


Motivation for using Computer Software

  • Allow students to model complex physical phenomena inexpensively

    • Water and sound waves

    • Planetary motion and gravity

  • Allow students to explore mathematical concepts in an exploratory way

    • Sequences and fractals

    • Area


MATLAB

  • Software language distributed by MathWorks

    • Programming and Visualization capabilities

  • Interaction with MATLAB can be superficial or extensive

    • Easy to create 2D and 3D plots

    • Solve equations governing fluid flow

  • SciLab is a free version (http://www.scilab.org)


Relevance to Noyce Fellows

  • Could use these codes or resources in their own classrooms to engage and motivate their own students.

  • Resources require very little training.

    • MATLAB

    • Sweet Home 3D®


Waves

  • Water

  • Sound


Tsunamis

http://thewashingtonnote.com


Speed of Shallow Water Waves(Tsunamis)


Credits

  • Cleve Moler, MathWorks

  • Randy LeVeque and colleagues, University of Washington


Sound Waves


Sound Waves


Gravity and Force


Gravitational Attraction


Newton’s Law of Gravitation


Newton’s Second Law


Acceleration and Velocity

  • Velocity is change in distance over time.

  • Acceleration is the change in velocity over time.

http://davidteacherzambia.blogspot.com


Planetary Motion


Sequences


Sequences

  • 1,3,5,7,9,11,13, …

  • 1,4,9,16,25,36, …

  • 1/2 ,2/3, 3/4, 5/6, 6/7, 7/8, …

  • 1,1,2,3,5,8,13,21,34,55, …


Complex Numbers

Imaginary

1 + 2i

Real


Sequence of Complex Numbers

  • Repeat

  • Color points by distance from origin in the complex plane

  • Beautiful shapes called fractals can be formed based on this simple procedure.


Sequence of Complex Numbers

Imaginary

2

1

3

4

Real


Mandelbrot Fractal

Magnify


Mandelbrot Fractal Magnified

Magnify


Mandelbrot Magnified Again


What’s Really Cool about Fractals

  • When a portion of the fractal is magnified, the magnified portion bears a resemblance to the original fractal (self-similarity).

  • YouTube videos magnify Mandelbrot fractals billions of times and during the course of the magnification, one sees variations of the original fractal over and over again.


Area


Area of Rectangle =

Area = b*h

h

b


Area of Parallelogram =

h

b


Area of Triangle =

h

b


Sweet Home 3D® (http://www.sweethome3d/com)


Sweet Home 3D®

  • Web site published by Emmanuel Puybaret

  • eTeks® (company created in 1999)


Conclusions

  • Software can be used to simulate physical phenomena in an interactive way.

  • Free online resources can be used to reinforce and apply mathematics concepts.

  • Such resources can be used to depthen the extent of learning and show its application.


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