- #1
Terry Bing
- 48
- 6
I can find several resources (in this forum and elsewhere) on pedagogy and teaching tips that are geared towards teachers. Are there any books or resources that provides tips for students of physics, that would make learning more efficient and effective?
Examples of the kind of things I am looking for:
1) Active recall: (An obvious one, backed by research) e.g. using flash cards. https://en.wikipedia.org/wiki/Active_recall
2) Classifying equations: A basic tip from the book "How to solve problems" by Donald Scarl. Basically, at the end of each chapter in a textbook, note down all the useful equations that you encountered, and classify them as a definition (e.g. v=dr/dt), or a mathematical theorem (law of cosines), a physical law (F=ma), a derived general physical result (W=ΔK), or a special case (T=2π√(l/g) ). Also note where the equations are valid. for e.g v=dr/dt is always true by definition, but s=ut+1/2*at^2 is only true for 1D motion with constant acceleration.
3) Concept Triangulation: Feynman's tip http://fed.wiki.org/journal.hapgood...au.fedwikihappening.net/concept-triangulation
4) Training the mind: an advise given by a friend of mine who I consider a good physicist. "when solving a problem or deriving a result, if you have time, first try to solve it completely in your head (at least vaguely) as much as you can without putting pen to paper. At first, this would take more time, but with practice, we would train our head to do a major part of the solution in the background while we write things down." Of course, this is just an opinion, and may not be a good strategy to use in an exam. Only when there is enough time. Also some people may disagree with this, but I also welcome personal opinions, even if not backed by research.
Also, advice given to math and physics researchers, like the following quote by John von Neumann:
"As a mathematical discipline travels far from its empirical source, or still more, if it is a second and third generation only indirectly inspired by ideas coming from "reality," it is beset with very grave dangers. It becomes more and more purely aestheticizing more and more purely l'art pour l'art. This need not be bad, if the field is surrounded by correlated subjects, which still have closer empirical connections, or if the discipline is under the influence of men with an exceptionally well-developed taste. But there is a grave danger that the subject will develop along the line of least resistance, that the stream, so far from its source, will separate into a multitude of insignificant branches, and that the discipline will become a disorganized mass of details and complexities. In other words, at a great distance from its empirical source, or after much "abstract" inbreeding, a mathematical subject is in danger of degeneration. "
Are there any good books that give advice to students? If there is a collection book of wisdom given by successful mathematicians or scientists to younger and upcoming scientists, also would be great.
Thanks.
Examples of the kind of things I am looking for:
1) Active recall: (An obvious one, backed by research) e.g. using flash cards. https://en.wikipedia.org/wiki/Active_recall
2) Classifying equations: A basic tip from the book "How to solve problems" by Donald Scarl. Basically, at the end of each chapter in a textbook, note down all the useful equations that you encountered, and classify them as a definition (e.g. v=dr/dt), or a mathematical theorem (law of cosines), a physical law (F=ma), a derived general physical result (W=ΔK), or a special case (T=2π√(l/g) ). Also note where the equations are valid. for e.g v=dr/dt is always true by definition, but s=ut+1/2*at^2 is only true for 1D motion with constant acceleration.
3) Concept Triangulation: Feynman's tip http://fed.wiki.org/journal.hapgood...au.fedwikihappening.net/concept-triangulation
4) Training the mind: an advise given by a friend of mine who I consider a good physicist. "when solving a problem or deriving a result, if you have time, first try to solve it completely in your head (at least vaguely) as much as you can without putting pen to paper. At first, this would take more time, but with practice, we would train our head to do a major part of the solution in the background while we write things down." Of course, this is just an opinion, and may not be a good strategy to use in an exam. Only when there is enough time. Also some people may disagree with this, but I also welcome personal opinions, even if not backed by research.
Also, advice given to math and physics researchers, like the following quote by John von Neumann:
"As a mathematical discipline travels far from its empirical source, or still more, if it is a second and third generation only indirectly inspired by ideas coming from "reality," it is beset with very grave dangers. It becomes more and more purely aestheticizing more and more purely l'art pour l'art. This need not be bad, if the field is surrounded by correlated subjects, which still have closer empirical connections, or if the discipline is under the influence of men with an exceptionally well-developed taste. But there is a grave danger that the subject will develop along the line of least resistance, that the stream, so far from its source, will separate into a multitude of insignificant branches, and that the discipline will become a disorganized mass of details and complexities. In other words, at a great distance from its empirical source, or after much "abstract" inbreeding, a mathematical subject is in danger of degeneration. "
Are there any good books that give advice to students? If there is a collection book of wisdom given by successful mathematicians or scientists to younger and upcoming scientists, also would be great.
Thanks.