Physicists Seek To Lose The Lecture As Teaching Tool
npr.org
npr.org
I can tell you "In the absence of friction, the total mechanical energy of a system is conserved", and you can commit this message to memory, but to truly understand this you have to see this concept in 10-15 different situations. Only then can the abstract statement be understood. The cool part about physics is that you actually get a little //knowledge buzz// at that point...
My question to you all, is a book any different from a lecture? On the one hand, you are still "sitting there" while someone else tries to "pour" knowledge into you. On the other hand it is pretty good to see things clearly explained on paper (story telling instinct?) and, just like the Khan videos, you can "rewind" a few pages back, if you don't understand something. I would particularly like to hear the younger crown on this one: are books still cool?
BTW, David Hestenes has lots of cool papers out: http://www.google.com/search?q=David+Hestenes+test+filetype:...
I've been thinking about this for a while.
The two balls hit the ground at the "same time" because relative to the earth, they are about the same mass (ball #1 is only 1/2 the mass of ball #2, and the difference between that and the mass of the earth is negligible).
Once you start making ball #1 and ball #2 massively different, one of the balls begins to attract the earth itself more than the other ball.
For example...
1) Take a basketball, drop it. Measure the time.
2) Take a miniture blackhole, drop it. Measure the time.
While earth's pull will be the same on both the basketball and the blackhole, the blackhole's pull on earth will be much much grater than the basketball's and hence the additive acceleration will be larger.
But, if you drop them at the same time, next to each other, things will even out since the earth will move towards them both as it moves towards the one.
What do I win?
°Assuming equal distance between the two objects. It's still constant w.r.t. mass if you allow different distances, you just pick up a ratio term of the two distances. Again, you don't 'start' attracting one ball more than the Earth. You're _always_ attracting the Earth more.
Now that I've put it that way, we can see that the mass doesn't matter, since the previously neglected force is _only_ operating between the direction of the two masses, so there is no additional acceleration in the direction of the earth. If you pretend the earth is a infinite plane (which is typical) than we can see that this will have no effect on the fall time. Since the distance to the earth starts being equal, and the accelerations (relative to the earth) are equal, the time will be equal.
If, however, you instead acknowledge that the earth is a sphere, and we really started the two objects at rest at the same radius but different angles, than you have a restricted three body problem and I should probably not try to solve that before I've had coffee.
Thank you very much. It will be a good day.
Are you talking about inertia?
If ball #1 or #2 does not have the mass (and hence gravitational pull) to overcome Earth's inertia ... the Earth does not move towards it.
But wouldn't that force or energy still be conserved and transferred into the ball's own acceleration?
That is false. I think you are thinking of friction.
>>"With modern technology, if all there is is lectures, we don't need faculty to do it," Redish says. "Get 'em to do it once, put it on the Web, and fire the faculty."
>>Some faculty are threatened by this, but Mazur says they don't have to be. Instead, they need to realize that their role has changed.
>>"It used to be just be the 'sage on the stage,' the source of knowledge and information," he says. "We now know that it's not good enough to have a source of information."
>>Mazur sees himself now as the "guide on the side" – a kind of coach, working to help students understand all the knowledge and information that they have at their fingertips. Mazur says this new role is a more important one.
"Students have to be active in developing their knowledge," he says. "They can't passively assimilate it."
Lectures don't work because they're passive.
Just recently I attended a weekend Launch48 event. In terms of "teaching styles", the Launch48 teaching style is nearly the complete opposite of the traditional classroom -- intensely engaging (ie. active) instead of passive.
From the student's perspective having a video from some lecturer at Yale or wherever would be just as effective.
Lectures to small classes of say 10 are a different story, but on the scale of modern UK university courses it seems like one of the most inefficient systems imaginable.
Students come their to get the degree and not to push science forward. Only a small fraction are actually interested in the science. The rest are just looking to get good grades.
A dull (or bad in other ways) lecturer almost always turns me off to a topic. A lecturer who is excited about the topic always makes me want to know more about something.
I remember a lecture about insect flight muscles I listened to in 2005. Before that I never really thought about muscles. For a whole day after that lecture I wanted to study muscles as my research topic.
Even better, find the greatest lecturers out there, get them to do it once and put it on the web.
if every lecturer had the skill of Feynman, though, there would be no problem.