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Teaching with Technology

Teaching with Technology. RAMALINGHAM KRISHNAMOORTHY Trainer, Education To All , MinFin Tech Services ramu.k301@gmail.com Twitter : @ RamalinghamRamu Facebook : https://www.facebook.com/ramu.k301 Contact : +917667074848

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Teaching with Technology

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  1. Teaching with Technology RAMALINGHAM KRISHNAMOORTHY Trainer, Education To All, MinFin Tech Services ramu.k301@gmail.com Twitter : @RamalinghamRamu Facebook : https://www.facebook.com/ramu.k301 Contact : +917667074848 MIE Profile : https://education.microsoft.com/Status/Public?token=f7ZOmeKN

  2. Levine’s Technology Theorem Everything works either at home or in my office, and nothing works when I present it.

  3. Some Uses of Technology as a Learning/Teaching Tool • Course Web Sites • Teaching with computers • Locating Web resources • Mathematical slide shows • Computer homework assignments and projects • Discovering things using technology

  4. Course Web Sites • All the important information about the course • Syllabus • Office Hours • Homework assignments • Lecture notes • Old Exams with solutions • Grades • http://golem.math.stevens-tech.edu/ma115/ • http://golem.math.stevens-tech.edu/llevine/ma205/ma_205.html

  5. MathematicalSlide Shows I • http://attila.stevens-tech.edu/~llevine/ • These use stream technology • How created • Power Point good for creating slides • Then can easily add narration • Real media add-on to convertreal format • Power Point not good for writing math

  6. MathematicalSlide Shows II • SNB is good for writing math • Power Point does not read tex files • Solution • Prepare math using SNB • Capture portions of file as graphics files • Important these graphics files into Power Point • Add narration, convert to real format

  7. ComputerProjects and Simulations • Add new dimension to learning • Make things come “alive” • http://www.math.psu.edu/dna/graphics-g.html • Projects that reinforce and extend • Harmonic Oscillator Project • Combination of analytic and simulation

  8. The Case for Laptops I • Faculty must have laptops • PCs in classrooms not adequate • Prepare everything before on laptop • Should be able to come in, plug in laptop and teach • Ideally just a little more difficult than using chalk and a board

  9. Case for Laptops II • Computer labs expensive • Students bring lab to classroom • Incoming student has state of the art equipment • Really use technology while teaching • Opportunity for interaction with and engagement of students

  10. Ma 488 VP Course • TH 120 Advanced Technology Classroom • Classroom set-up • Cadets have laptops • Wireless connections • Scientific Notebook • Net OP School • Smart Board

  11. How is Course Taught? • Prepare notes in SNB for presentation of material • Discuss this material: laptop covers down • Have cadets work specific examples using SNB • Monitor work using Net OP School • Project cadet’s laptop, monitor, take control, attention – “Go to the Boards” • Homework is submitted via email

  12. Some Cautions • Technology must work easily – need good support • Must come earlier to set things up • Tendency for class to go in unexpected directions – instructor must be fluid in approach • When something new comes up, file is emailed on the spot

  13. Course Content and Goals I • Differential Equations • Solution of constant coefficient homogeneous and nonhomogeneous equations • Infinite series • Series solution of DEs near an ordinary point • Cauchy-Euler Equations • Method of Frobenius

  14. Course Content and Goals II • Use technology to discover new results • Nonhomogeneous Hermite, Legendre, Chebyshev equations • Assume one has a polynomial on the RHS • Under what conditions will one of these DEs have a polynomial solution?

  15. Discovery Approach I • Hermite’s Equation

  16. Discovery Approach II • SNB will solve the equation for specific values of n • It will not solve the IVP in general • By looking at specific examples one tries to extrapolate a general result. • SNB illustrations

  17. Conclusions • The world is changing • Technology will become more prevalent • Students must be fluent with technology • Technology opens new horizons • Many approaches • Some good, some not so good • Try new approaches, identify good ones, develop them • No small challenge

  18. Follow-Up RAMALINGHAM KRISHNAMOORTHY Trainer, Education To All, MinFin Tech Services ramu.k301@gmail.com Twitter : @RamalinghamRamu Facebook : https://www.facebook.com/ramu.k301 Contact : +917667074848 MIE Profile : https://education.microsoft.com/Status/Public?token=f7ZOmeKN https://education.microsoft.com/Status/Public?token=f7ZOmeKN

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