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IT is changing university

dacey avatar
dacey
20 diapositives · 339 Views · Dec 03, 2012

This study explores the integration of digital tools in physics education, particularly using the double pendulum to demonstrate chaotic motion. It covers advancements in teaching methods enabled by digital audio-visual devices, remote lectures, and interactive simulations. The project emphasizes effective observation and analysis of motion through digital video cameras and computational methods like the Runge-Kutta technique. By promoting a virtual campus model, this approach aims to enhance collaborative learning and provide flexible educational opportunities tailored to individual student needs across various platforms.

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  1. Computer Aided Education in Physics by using Double Pendulum EquipmentMitsuo Suzuki, Mitsuhiko Toho1, Atsushi Minato and Satoru OzawaGraduate School of Science and Engineering, Ibaraki UniversityPolish-Japanese Institute for Information Technology1

  2. IT is changing university • Development of digital audio & video devices Digital video camera, Multimedia computer, Large capacity digital storage devices, High intensity projector → (a) Improvement of teaching methods in classes • Development of digital telecommunications • Web Based Training System ( Web + Data base + VOD) • Remote lecture & Remote seminar equipments • Mobile terminals (Palm PC, Internet mobile phone) • → (b) Virtual university, Virtual campus

  3. Virtual Campus Project, Ibaraki Univ.

  4. Strategy of virtual campus project • New calcium free from the restrictions of the campus geometry (50km separation) • Collaboration in research between separated campuses • Virtual campus covers various activities in the area (schools, research centers, industries, people at homes)

  5. Software rather than hardware How to improve teaching method in classes • Achievement of Virtual Campus • → Staff’s individual effort toward improvement of teaching method in classes • Topic : special • Discussion : general Example: Lecture on “mechanical chaos”

  6. Begin with attractive demonstration (Do not start with a flood of mathematical expressions !!) • Simple mechanical structure • → Chaotic motion

  7. How to observe the motion precisely? (Modern way of observation) hinge with red marker upper bar hinge with green marker lower bar red marker • Monitor the movement by digital video camera • Analysis the image analysis on PC .

  8. Give enough experimental information (1) (Measurement of friction force at hinges) Angular velocity (rad/sec) Time (sec) friction force = constant

  9. Give enough experimental information (2) (Measurement of air resistance force, Fair) Fair(N) Air stream velocity, v (m/s) Fair = kv2

  10. Lagrangian formulation • Dissipation function • Equation of motion Express analytically as precisely as possible (Easy simplification or modeling is no good!!)

  11. Everything through computer simulation • Numerical integration of equation of motion ( Runge-Kutta method) → Produce all the possible motions in computer • Graphics presentation (Original graphics software, SGL) → Interactive study with computer What to see is determined by students!!

  12. Upper bar Lower bar Energy (J) Energy (J) Sum of the two Time (sec) Time (sec) (a) low energy initial state (b) high energy initial state To see “pure chaotic motion” in computer (Chaos is easily veiled by energy dissipation → neglect energy dissipation terms) Quasi-harmonic Chaotic

  13. Angular velocity (rad/sec) Angular velocity (rad/sec) (a) low energy initial state (b) high energy initial state Poincare’s mapping Quasi-harmonic Chaotic

  14. (b) (a) Power spectrum Power spectrum Frequency (Hz) Frequency (Hz) Frequency (Hz) (a) low energy initial state (b) high energy initial state Fourier analysis Quasi-harmonic Chaotic

  15. Upper bar Lower bar Energy (J) Energy (J) Sum of the two Time (sec) Time (sec) Quasi-harmonic “Pure” chaotic Harmonic with energy dissipation Chaotic with energy dissipation Energy (J) Energy (J) Time (sec) Time (sec)

  16. Quasi-harmonic “Pure” chaotic Angular velocity (rad/sec) Angular velocity (rad/sec) Harmonic with energy dissipation Chaotic with energy dissipation Angular velocity (rad/sec) Angular velocity (rad/sec)

  17. Quasi-harmonic “Pure” chaotic (b) (a) Power spectrum Power spectrum Frequency (Hz) Frequency (Hz) Frequency (Hz) Harmonic with energy dissipation Chaotic with energy dissipation Power spectrum Power spectrum Frequency (Hz) Frequency (Hz)

  18. The topic covers 3 categories of physics • Experimental physics Modern way of observation (Monitor movement by digital video camera, Analysis the image analysis on PC) • Theoretical physics Lagrange’s equation of motion, Dissipation functions • Computational physics Runge-Kutta method, Poincare’s mapping, Fourier analysis The material is suited for digital contents

  19. Advantages to use digital contents • Multimedia type information is inserted • into text base information • → Attractive material for education (2) Links between elements of content make it possible to do “net surfing like study” → Kind supplemental explanations → Flexibility in learning (the material covers wide range of student’s abilities) (3) Interactive learning between students and computers can be realized → Stop student’s “passive” way of learning

  20. Future university education (Multimedia and Network will change university dramatically) Flexible learning system • Depending upon student’s ability, multiple courses in “one” class • Whenever and Wherever learning Role of professor • Prepare good digital contents • Human care program (consulting)