How To Teach Special Relativity

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SUMMARY

This discussion centers on effective methods for teaching special relativity, emphasizing the importance of continuity with classical concepts. J.S. Bell's insights highlight the value of integrating the reasoning of physicists such as Larmor, Lorentz, and Poincare alongside Einstein's theories. The philosophical differences between Einstein's and Lorentz's approaches are crucial for educators, as they offer diverse perspectives that enhance student understanding. Eugene Shubert's techniques, which utilize familiar concepts of relative space to explain relative time, provide a powerful pedagogical tool for developing a deeper emotional grasp of spacetime.

PREREQUISITES
  • Understanding of classical physics concepts, particularly space and time.
  • Familiarity with the works of Larmor, Lorentz, Poincare, and Einstein.
  • Basic knowledge of special relativity principles.
  • Experience in educational methodologies for complex scientific topics.
NEXT STEPS
  • Explore the philosophical implications of Einstein's and Lorentz's theories on special relativity.
  • Research pedagogical strategies for teaching complex scientific concepts effectively.
  • Examine the resources available at www.everythingimportant.org for teaching relativity.
  • Investigate the emotional and intuitive approaches to understanding spacetime as proposed by Eugene Shubert.
USEFUL FOR

Educators, physics instructors, and students seeking to deepen their understanding of special relativity and improve their teaching methodologies in complex scientific subjects.

Eugene Shubert
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Originally posted by L Hoffman (lhoffman@U.Arizona.EDU)
sci.physics.relativity Date: 2000/07/13

What follows are some pertinent excerpts from an article by J.S. Bell. (Reference: Progress in Scientific Culture, Vol. 1, No. 2, Summer 1976)

"I have long thought that if I had the opportunity to teach this subject, I would emphasize the continuity with earlier ideas. Usually it is the discontinuity which is stressed, the radical break with more primitive notions of space and time. Often the result is to destroy completely the confidence of the student in perfectly sound and useful concepts already acquired..."

"It is my impression that those with a more classical education, knowing something of the reasoning of Larmor, Lorentz, and Poincare, as well as that of Einstein, have stronger and sounder instincts..."

"The approach of Einstein differs from that of Lorentz in two major ways. There is a difference of philosophy, and a difference of style.

"The difference of philosophy is this. Since it is experimentally impossible to say which of two uniformly moving systems is really at rest, Einstein declares the notions "really resting" and "really moving" as meaningless. For him only the relative motion of two or more uniformly moving objects is real. Lorentz, on the other hand, preferred the view that there is indeed a state of real rest, defined by the aether, even though the laws of physics conspire to prevent us identifying it experimentally. The facts of physics do not oblige us to accept one philosophy rather than the other. And we need not accept Lorentz's philosophy to accept a Lorentz pedagogy. Its special merit is to drive home the lesson that the laws of physics in anyone reference frame account for all physical phenomena, including the observations of moving observers. And it is often simpler to work in a single frame, rather than to hurry after each moving object in turn.

"The difference of style is that instead of inferring the experience of moving observers from known and conjectured laws of physics, Einstein starts from the hypothesis that the laws will look the same to all observers in uniform motion. This permits a very concise and elegant formulation of the theory, as often happens when one big assumption can be made to cover several less big ones. There is no intention here to make any reservation whatever about the power and precision of Einstein's approach. But in my opinion there is also something to be said for taking students along the road made by Fitzgerald, Larmor, Lorentz, and Poincare. The longer road sometimes gives more familiarity with the country."

________________
My Answer:

A perfect synthesis between the best ultramodern introduction to relativity and a parallel absolute interpretation is achieved in the following links:

http://www.everythingimportant.org/relativity
http://www.everythingimportant.org/relativity/simultaneity.htm

Eugene Shubert
 
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Concerning the first quote of Bell

"….. I would emphasize the continuity with earlier ideas. Usually it is the discontinuity which is stressed, the radical break with more primitive notions of space and time. Often the result is to destroy completely the confidence of the student in perfectly sound and useful concepts already acquired..."

I personally have discovered what I think is a tremendous way of using “useful concepts already acquired”.
Specifically I use our already developed concept of relative space to shed light on the nature of relative time. I do this by discussing the nature of a universe that has relative time and absolute space. One learns and develops a feel for the nature of relative time by first studying the nature of this universe as compared to the nature of classical space which has relative space and absolute time.
It has proven to me to be a very powerful way to develop an emotional sense of spacetime.

If the idea intrigues you go to my website www.geocities.com/spacetimeexercises

And please give me your feedback.
 
has done a great job in presenting a comprehensive and easy-to-understand approach to teaching special relativity. His emphasis on the continuity with earlier ideas, rather than solely focusing on the discontinuity, is a valuable approach in helping students grasp the concepts more effectively.

I agree with J.S. Bell's suggestion to include the reasoning of Larmor, Lorentz, and Poincare in addition to Einstein's approach. This not only provides a deeper understanding of the subject, but also helps students develop stronger and sounder instincts.

The difference in philosophy between Einstein and Lorentz is an important aspect to consider when teaching special relativity. While Einstein's approach may be more concise and elegant, Lorentz's philosophy can also provide valuable insights and a different perspective. As Bell suggests, incorporating both approaches can help students gain familiarity with the subject and better understand the laws of physics in different frames of reference.

In conclusion, teaching special relativity should involve a combination of modern and traditional approaches, emphasizing continuity and incorporating different perspectives. Eugene Shubert's work and Bell's suggestions are valuable resources for anyone looking to effectively teach this complex and fascinating subject.
 
In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

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