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

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

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

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

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

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

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

Waves

  • Water

  • Sound


Tsunamis

Tsunamis

http://thewashingtonnote.com


Speed of shallow water waves tsunamis

Speed of Shallow Water Waves(Tsunamis)


Credits

Credits

  • Cleve Moler, MathWorks

  • Randy LeVeque and colleagues, University of Washington


Sound waves

Sound Waves


Sound waves1

Sound Waves


Gravity and force

Gravity and Force


Gravitational attraction

Gravitational Attraction


Newton s law of gravitation

Newton’s Law of Gravitation


Newton s second law

Newton’s Second Law


Acceleration and velocity

Acceleration and Velocity

  • Velocity is change in distance over time.

  • Acceleration is the change in velocity over time.

http://davidteacherzambia.blogspot.com


Planetary motion

Planetary Motion


Sequences

Sequences


Sequences1

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

Complex Numbers

Imaginary

1 + 2i

Real


Sequence of complex numbers

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 numbers1

Sequence of Complex Numbers

Imaginary

2

1

3

4

Real


Mandelbrot fractal

Mandelbrot Fractal

Magnify


Mandelbrot fractal magnified

Mandelbrot Fractal Magnified

Magnify


Mandelbrot magnified again

Mandelbrot Magnified Again


What s really cool about fractals

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.


Enhancing stem curriculum with matlab and o nline resources

Area


Area of rectangle

Area of Rectangle =

Area = b*h

h

b


Area of parallelogram

Area of Parallelogram =

h

b


Area of triangle

Area of Triangle =

h

b


Sweet home 3d http www sweethome3d com

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


Sweet home 3d

Sweet Home 3D®

  • Web site published by Emmanuel Puybaret

  • eTeks® (company created in 1999)


Conclusions

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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