The coming revolution in physics education

[physicsponderer]

I kind of like Euler's method as a teaching tool and have used it to teach high school students to compute rocket trajectories as well as to compute forces from videos of experiments. For systems where the forces are changing slowly, it is not bad, and it can be implemented in a spreadsheet. Students can learn it even before they have a clue about calculus with the idea that for sufficiently short times, the assumption of constant acceleration is "good enough" for sufficiently short time steps. Then students can shorten the time step and see if their calculations change much. Sure, the spreadsheets might have 1000-10000 rows, but they are all cut and pasted from the first few, and this allows students to easily see how the motion is progressing.

I see use of Euler's method in a spreadsheet as a stepping stone for students to using numerical methods in black boxes. It gives some insight into what is going on inside those black boxes and allows solving a bunch more systems than the assumption of constant acceleration. There will always be a more efficient numerical method just around the corner. But computers today are pretty powerful - it may be a fine approach to sacrifice numerical efficiency for conceptual simplicity for certain parts of introductory training.

But having taught introductory college physics for lots and lots of years, making scientific programming part of the course or a prerequisite for it is going to be a hard sell for most intro courses (except majors courses). It will be a great way to make students hate the teacher. Students in introductory classes are open to spreadsheets, not so much to learning to program.

I agree with your use of spreadsheets. I think it is a step that should not be omitted between the calculations and the graph when studying. Learning to make a table is a very useful thing. It can even be used outside of physics, and there is no need to go the whole way and plot a graph. I have used a table to work out how much electricity I was using doing different things by entering times and electricity meter reading into a table on paper (and how much it cost in money) which is sort of physics but also sort of business or just life.
Hard to believe physics students would hate to learn a tiny easy bit of coding. They should love the teacher, not hate him or her.

 

[physicsponderer]

Without math, one isn't really teaching physics. The question is how to approach the challenges to spend less time with the math and more time with the physics. Black boxes are one approach. Euler's method is another. It may well prove to be a revolution in teaching physics, at least for courses that adopt it. I doubt I'll ever teach another physics (or other quantitative science class) without using spreadsheets on a weekly basis. A spreadsheet takes repetitive calculations (and the calculator) out of the student's hands and also leaves a documented trail students can refer back to for what was done. Work on calculators disappears every time the student presses C.

When I was first exposed to numerical methods as an undergraduate, it was a real eye opening experience. The challenges of tough integrals, derivatives, and differential equations melted away, and I realized that the real challenge of physics was reducing the problem to an equation that could then be solved on the computer. Before then - I saw reducing the problem to an equation as about the first 30% of the problem and then beating that equation into submission with the traditional analytical (pencil and paper) techniques as the last 70% of the task at hand. Physics was mostly math, and I was not good at math, and I did not like math. About the same time, I also felt cheated by realizing that all the prior problems had been cherry picked to be solvable with traditional pencil and paper methods - most problems cannot be solved with pencil and paper. These revelations should really occur before a physics major is a junior in college.

So, I do think an approach to empower physics majors to solve more general problems in their first year would be a revolution in physics education, at least for majors. Some of the students I mentor are beginning to see similar things in their introductory undergraduate courses.

"Without math, one isn't really teaching physics." I disagree. You seem to be implying that physics is a branch of mathematics. I take the view that maths is an indispensable part of physics, but physics without maths is still physics. It's possible understand parts of physics without maths, and very deeply, too. In fact, too great an emphasis on maths, in the ordinary sense of equations and calculations, can result in losing a certain intuitive understanding, I think. So many physicists who are great at maths, will flunk simple, fun, physics puzzles that are put in the form of words. Relativity Visualized by Lewis Carroll Epstein is light on maths indeed and yet I think gives a better understanding than most degree courses at the time did.

 

[physicsponderer]

"When I was first exposed to numerical methods as an undergraduate, it was a real eye opening experience. The challenges of tough integrals, derivatives, and differential equations melted away, and I realized that the real challenge of physics was reducing the problem to an equation that could then be solved on the computer. Before then - I saw reducing the problem to an equation as about the first 30% of the problem and then beating that equation into submission with the traditional analytical (pencil and paper) techniques as the last 70% of the task at hand. Physics was mostly math, and I was not good at math, and I did not like math. About the same time, I also felt cheated by realizing that all the prior problems had been cherry picked to be solvable with traditional pencil and paper methods - most problems cannot be solved with pencil and paper. These revelations should really occur before a physics major is a junior in college."

I totally agree and I am blown away by this. I think many students of physics think the same way. I know I did. Solving differential equations numerically is so much easier and so much fun, using a computer, as shown by 3Blue1Brown in a Youtube video:[/QUOTE]

 

[physicsponderer]

Have you seen this? It has a bit where a Python program is used to solve numerically the ODE of a free pendulum. Did he really write that code that fast or was it sped up or rehearsed I wonder (lol).

Maybe your students would like it.

 

[physicsponderer]

I taught high school physics for 15 years with some success. The difficulties were not in solving problems once the underlying physics was understood but in undoing the years of “false physics” that most students arrived having internalized. In the 90s there was a movement to measure the basic physics beliefs of incoming students and then to do a second measurement after taking basic physics. Most students in traditional courses never improved their basic understanding, so in response a course was developed with much success at Dicinson College and elsewhere. Unfortunately, thought the course had a high rate of success in improving basic understanding, it required a lot of technology to implement and never caught on widely.

I'd like to know more about the "years of false physics" and the technology needed to counter their effects.

 

[Will Flannery]

A slightly bigger nitpick/question: wouldn't it have been better to have the MATLAB variables labelled the same way as in the equations? As it is, the by hand calculations have v(1) = -9.9 does which does not match v(1) = 0; % Initial velocity in the code. Wouldn't it reduce the cognitive load if the labeling was the same? Or am I missing something?

You're missing something. v(1) is not the velocity after 1 second, it's the velocity at the beginning of the first subinterval, that is, when t = 0, then v(2) is the velocity at the start of the 2nd subinterval, and so on.

 

[physicsponderer]

You're missing something. v(1) is not the velocity after 1 second, it's the velocity at the beginning of the first subinterval, that is, when t = 0, then v(2) is the velocity at the start of the 2nd subinterval, and so on.

I didn't say it was the velocity after 1 second, I said there seemed to be an unnecessary cognitive load caused by the mismatch.

 

[Will Flannery]

I didn't say it was the velocity after 1 second, I said there seemed to be an unnecessary cognitive load caused by the mismatch.

Great Scott, on going back and checking, you're right. Actually, the variable does have the same name, v in the hand calculation and v in the program, it's the change in the nature of the argument that creates the cognitive dissonance, v(1) = -9.9 and v(1) = 0. In the hand calculation v(1) = -9.9 the argument is time, in the program statement v(1) = 0 the argument is an index into an array, with v(i) being the velocity at the start of the ith subinterval. As we sometimes say on the bandstand, my bad.

 

[Frabjous]

Sherwin’s book Basic Concepts of Physics (1961) had students solving difference equations. There might be some ideas in it that resonate with you.

 

[Dr. Courtney]

"Without math, one isn't really teaching physics." I disagree. You seem to be implying that physics is a branch of mathematics.

Not at all. What if I had said, "Without reading, one cannot really teach law" or "Without reading, one cannot really teach history"?

At the high school and college levels, one is not really teaching law or history with the appropriate level of rigor if one does not require the students to _READ_.

So sure, there are some elementary physical principles that can be taught to students without requiring them to do math. But with the exception of physics courses with "Conceptual" in the name, one is not being honest about the rigor if one is teaching high school or college physics without requiring students to do the math.

What would you think of a law school that did not require their law students to read? This is how I regard physics teachers who do not require their students to solve quantitative problems.

 

[Will Flannery]

So sure, there are some elementary physical principles that can be taught to students without requiring them to do math. But with the exception of physics courses with "Conceptual" in the name, one is not being honest about the rigor if one is teaching high school or college physics without requiring students to do the math.

Well, how about being more specific? What college physics? What math?

My premise is that physics since the time of Newton has been based on differential equations. Physical laws governing processes are written as differential equations. Physical systems are modeled using differential equations. A real world system is analyzed by deriving a differential equation model of the system and analyzing the model.

So, I claim that there is very little physics without differential equations.

Trying to be more specific, what physics requires what kind of math? First, what kinds of math are there? Arithmetic, algebra, calculus, and differential equations**. What physics can be taught with arithmetic only? Algebra only? Calculus minus differential equations only? Calculus with differential equations?

**and I've just become aware of another type of math that used to be very prominent in physics but seems to be less so now(?), real analysis as is typified by A First Course in Modern Analysis - Whitaker - pdf. There is a section on 'The Equations of Mathematical Physics' that seems to be various functions useful for solving PDEs, e.g. Legendre functions, Bessel functions.

 

[Dr. Courtney]

So, I claim that there is very little physics without differential equations.

No need to chase all those rabbits. I would agree that one can only learn a small fraction of ALL physics without differential equations, but a small fraction of a very huge amount can still be a large amount.

I can recall learning a large amount of physics (a semester's worth) in my 9th grade physical science class with little more than 3 letter formulas (algebra) and a tiny bit of trig (SOHCAHTOA). I felt it was an excellent use of the 90 class days, it included the fundamentals of experimental physics (comparing theory with experiment), and laid a foundation for the vector analysis I'd see in 12th grade physics. The simplifications needed (no air drag, constant forces and accelerations) and limitations were clear. More importantly, the class inspired me to further study of physics (eventually majoring in it, earning a PhD, and a career in physics). Trying to do much with differential equations would have been confusing and likely turned me off - I had neither the math prowess nor the computer skills for it. I took the same approach in teaching my two sons' physical science - it has been wildly successful, as they are now both physics majors at a big state school doing well in their coursework and pleasing their research advisers as they plan for grad school.

My 12th grade physics class was based on algebra and trig. The lack of calculus and diff eq did not prevent it from being a very productive year for me. I learned a lot of physics - both key experimental things as well as just about all of the mechanics, E&M, and thermodynamics one could learn with the math skills I had. I was still far off from learning calculus and had zero computer skills. I took the same approach to my sons' high school physics class. No need for calculus or diff eq, but a strong experimental focus - accurate experiments testing whether the experiment agrees with predictions of theory. One son did have a research course in which I taught him to numerically integrate diff eqs to understand the motion of a complicated case of changing forces, but the other son did not. If all the students have the math and computer skills, the 12th grade physics class is a reasonable place to introduce some of these things, but I wouldn't build a whole course around it unless all the students had calculus.

I've often taught algebra and trig based college physics courses. There is plenty of physics one can teach to make good use of the two semesters without calculus or diff eqs. I like a strong experimental focus, lots of stress on the limitations and simplifying assumptions, and full vector-based quantitative problem solving. If students have the computer skills, I do like to introduce spreadsheet solutions to problems with changing forces. But I don't write down the differential equation or talk about calculus - that would freak them out. I simply show them how to apply the rules for constant forces point by point over smaller time scales and explain that it can give a good approximation, because over a short enough time scale, most varying forces are approximately constant. This paper gives the gist:
https://arxiv.org/pdf/0903.1555.pdf

 

[Frabjous]

Legendre and Bessel functions are still taught in physics. For example, see TOC of Arfken, a common mathematical physics book.
https://www.amazon.com/dp/0123846544/?tag=pfamazon01-20

Real analysis provides many of the theoretical underpinnings of calculus and differential equations. With this effort being successful, there is less direct overlap of physics and modern real analysis. Whitaker is a century old and was written when these topics were at the forefront of real analysis.

Update: There is a great book by Duren ”invitation to classical analysis” which has all sorts of neat analysis topics at the undergraduate level

 

[Will Flannery]

No need to chase all those rabbits.

Well ... on the other hand ... I remember when I was a freshman at UF taking an honors physics course, and thinking to myself ... here I am 18 years old in an honors class and learning Newtonian physics, when I should be learning Einsteinian physics, 100 years (not really!) after the fact. It was only as a post doc working at Honeywell that I discovered I had not learned Newtonian physics in the freshman class, what I had learned was pre-Newtonian physics, and that Newtonian physics was much more difficult than I'd thought. It is so difficult that I think it's rare to see a solution to the Kepler problem, which marks the beginning of modern science and technology, in college physics. To my mind physics begins with Newton (I was never an experimentalist).

And, I think you're wildly underestimating the capabilities of high school students. Of course I base my opinion on just two students, the best in my kid's high school, whom I taught in a pilot class. They went through the stuff in the OP paper like fish through water. I would like to have a bigger class but the 'curriculum committee', i.e. the math and science teachers at the school, thought the class was nonsense. I think the subject as per my class, which totally replaces analytic calculus with Euler's method, is simple enough that any motivated ! high school science student would not have a problem. I can't imagine even trying to teach it to unmotivated students.

And, I remember from high school that the best thing about high school physics was trajectories of thrown objects. So, differential equations occur right at the start of the study of physics. And in your linked pdf you inject a little calculus lite with differentials and equations containing differentials. So it's no great leap to write down the differential equation for a falling object, and that's usually done in high school physics, A=GM/RR, even though it's not called a differential equation. So all you have to do is introduce Euler's method and you can generate orbits, comet trajectories, rocket trajectories, etc., just like I did at Honeywell. Euler's method is basically an application of the formula distance = velocity*time, and that's an easy rabbit to catch !

 

[Dr. Courtney]

I can't imagine even trying to teach it to unmotivated students.

I can't imagine ever having a class of any size without a significant number of unmotivated students. It's a fantasy to think one will revolutionize anything without succeeding with unmotivated students.

 

[physicsponderer]

Great Scott, on going back and checking, you're right. Actually, the variable does have the same name, v in the hand calculation and v in the program, it's the change in the nature of the argument that creates the cognitive dissonance, v(1) = -9.9 and v(1) = 0. In the hand calculation v(1) = -9.9 the argument is time, in the program statement v(1) = 0 the argument is an index into an array, with v(i) being the velocity at the start of the ith subinterval. As we sometimes say on the bandstand, my bad.

Thanks for saying I was right, but I did not say 'cognitive dissonance', but rather 'cognitive load.'
Can the lesson in your paper be changed to get rid of the mismatch? If so, how? Not sure what you mean by 'As we sometimes say on the bandstand'. Could you please clarify that for me?

 

[Will Flannery]

Thanks for saying I was right, but I did not say 'cognitive dissonance', but rather 'cognitive load.'
Can the lesson in your paper be changed to get rid of the mismatch? If so, how? Not sure what you mean by 'As we sometimes say on the bandstand'. Could you please clarify that for me?

Well, it's a sticky wicket ... that I recognized from the beginning but I didn't have an easy solution so I just let it slide and forgot about it. I still don't have an easy solution.

Everything is solid in the paper thru the line - 'End of first lecture'.

It's the program that lacks sufficient explication.

Now, looking at the problem, I see I should have included in the paper -
"The time interval of interest 0-T is divided into N evenly spaced subintervals - 0=t1,t2, ... tN+1=T".
This line is necessary and I'm surprised I didn't include it, I've written it many times.

Note: I start with t1 instead of t0 because MATLAB array indices start with 1.

And I now see that I did not explain that the program stores the computed positions and velocities in arrays, so they can be graphed. That line should be included and there should have been program statements declaring the arrays, for clarity (they're not required in MATLAB).

And the program comment should be changed to
v(1) = 0; % velocity at start of first subinterval, v(t1)=0

I think that fixes it. My hobby is playing music and the only place I've heard the expression 'my bad' is on the bandstand, following aural dissonance.

 

[Dale]

I base my opinion on just two students, the best in my kid's high school, whom I taught in a pilot class. They went through the stuff in the OP paper like fish through water.

This is a bad basis for a pedagogical opinion. The two brightest students with a two to one student teacher ratio is essentially a guaranteed success regardless of how good or bad the pedagogical approach itself is.

 

[Buzz Bloom]

The debate in this tread seems to ignore an important general truth. A great many problems have more than one right answer.

 

[jasonRF]

Well ... on the other hand ... I remember when I was a freshman at UF taking an honors physics course, and thinking to myself ... here I am 18 years old in an honors class and learning Newtonian physics, when I should be learning Einsteinian physics, 100 years (not really!) after the fact. It was only as a post doc working at Honeywell that I discovered I had not learned Newtonian physics in the freshman class, what I had learned was pre-Newtonian physics, and that Newtonian physics was much more difficult than I'd thought. It is so difficult that I think it's rare to see a solution to the Kepler problem, which marks the beginning of modern science and technology, in college physics.

As an 18 year-old I was a lot like you were - I thought a lot of things that weren't true!

More seriously, in my opinion a physics or engineering program is failing their students if they graduate without being exposed to some set of tools they can use to compute rocket trajectories or solutions of Kepler's equation (perhaps with some guidance from standard resources available in the library or online). Whether or not they solved that exact problem in their curriculum is much less important. I've worked with people holding physics and engineering degrees from a number universities. Anecdotally, it has been much more common for new-hires to have conceptual shortfalls or weak analytical skills than to have trouble throwing the computer at a problem. This is of course a non-scientific observation with a small sample size (although >> 2!).

**and I've just become aware of another type of math that used to be very prominent in physics but seems to be less so now(?), real analysis as is typified by A First Course in Modern Analysis - Whitaker - pdf. There is a section on 'The Equations of Mathematical Physics' that seems to be various functions useful for solving PDEs, e.g. Legendre functions, Bessel functions.

I've had a copy for years and agree that Whittaker and Watson has a lot of gems that aren't easy to find other places. While it does cover some real analysis, the majority of the text is on functions of a complex variable. As caz wrote, many of the topics in that book are standard fare in mathematical physics texts/classes. At least where I was in school, every physics major I knew took at least one (and most took 2 or more) upper division courses in mathematical physics or applied math that included some combination of complex analysis, method of Frobenius, various special functions such as Bessel and Legendre, integral-transform and series solutions of PDEs, etc. I took a couple of those classes even as an engineering major.

Of course, in some sense this approach is the opposite of your "revolution", especially when you look at some uses of the more obscure special functions that allow for more problems to be "cooked" to get a closed-form solution. For example, Whittaker and Watson has an entire chapter on Mathieu functions, which (among other things) exactly solve an ODE for a simple parametric oscillator. Fortunately, instead of just quoting the exact solution, the professor who taught my junior-level mechanics course introduced us to perturbation theory which we then used to find approximate solutions of that same ODE. This provided us with more physical insight, and gave us a tool that is useful in many (most?) branches of physics and engineering.

If you are ever bored, try working the exercises in the book. They should keep you occupied for a long time!

jason

 

[Will Flannery]

More seriously, in my opinion a physics or engineering program is failing their students if they graduate without being exposed to some set of tools they can use to compute rocket trajectories or solutions of Kepler's equation (perhaps with some guidance from standard resources available in the library or online). Whether or not they solved that exact problem in their curriculum is much less important. I've worked with people holding physics and engineering degrees from a number universities. Anecdotally, it has been much more common for new-hires to have conceptual shortfalls or weak analytical skills than to have trouble throwing the computer at a problem.

You are missing the point entirely !

But, before we get to particulars*** ... let's backup a little ... let's assume you've looked at the paper as everything is based on that, then you have seen several graphs that you've probably never seen before and that I claim, and I hope demonstrate, to the point of starting with the physics and ending with the code, are easily obtainable by high school science students. For example, the Apollo trajectory, or even better, the Juno trajectory. The reaction I expect is ... Wow ! ...

Yes? No?

*** can be addressed in subsequent posts

 

[Dale]

demonstrate, to the point of starting with the physics and ending with the code, are easily obtainable by high school science students

Since the results are based on a cherry picked population of the two brightest students with a 2:1 student teacher ratio, I think “easily” obtainable is wholly unsupported by the data.

The reaction I expect is ... Wow ! ...

Why would you expect that? That the two best students in a high school could, with dedicated personalized tutoring, complete a Sophomore-level college project is not that surprising. Advanced students with individualized instruction should be expected to accomplish specific tasks two years early.

I suspect that you could take any sophomore-level college skill, take the two best high-school students, give them a 2:1 student teacher ratio, and they will accomplish the task.

 

[Dr.D]

Did anybody mention that Euler is unstable?

 

[Dale]

Did anybody mention that Euler is unstable?

I did, and recommend using prepackaged ODE solvers instead of hand coding Euler’s method. All the way back in post 2

 

[jasonRF]

You are missing the point entirely !

But, before we get to particulars*** ... let's backup a little ... let's assume you've looked at the paper as everything is based on that, then you have seen several graphs that you've probably never seen before and that I claim, and I hope demonstrate, to the point of starting with the physics and ending with the code, are easily obtainable by high school science students. For example, the Apollo trajectory, or even better, the Juno trajectory. The reaction I expect is ... Wow ! ...

Yes? No?

*** can be addressed in subsequent posts

I didn't miss the point, I just wrote a poor post! Don't get me wrong - I'm sure those two high-school students are impressive and probably gained a lot from the experience. I doubt I would have been up to the challenge (just like I didn't even come close to acing the PSAT!), or had the motivation for that matter. But I agree with Dale on this one, in that it is solid sophomore level work. While spacecraft trajectories are certainly more interesting than the programming projects on nonlinear oscillators (using Runge-Kutta) and the heat equation (using finite differences) I had to code up from scratch in a differential equations class my sophomore year, it is fundamentally at the same level. So it is impressive, but was almost a let-down after all of the hype in your posts. It is hard to say wow! when something doesn't live up to expectations.

But I'm looking at all of this from a different perspective. Most physics majors will eventually end up in industry. I am an engineer working at a company that hires some of those students, although we certainly hire more engineers than physicists. From my perspective, students need certain skills in order to be able to function at my workplace, and an ability to apply standard numerical methods is one of those skills. This is why I think departments are failing their students if they don't learn at least some numerical skills. I know that physics programs are academic so do not have the same job-preparation goals most engineering programs have. But I would hope physics departments would include such considerations a little when they are designing curricula.

So I am actually 100% on-board with forcing physics students to take a dedicated course on numerical methods. A freshman course is certainly better than nothing, but if a student we are hiring is to take such a course I would much prefer an upper-division version than a freshman version. That way they would learn more sophisticated techniques, have deeper understanding of assumptions and limitations, etc. For example, they would know not to use Euler's method to design something that will cost my project time and $$$ if it is wrong ! I suspect an upper-division course would be more useful for those students going to physics graduate school as well. The pedagogical benefits would have to be significant to prefer the freshman version. This likely means that the syllabi of the subsequent physics courses would need to change. I wonder what topics you propose to eliminate from each course to make room for this new numerical work? Or do you think it can be added without removing anything at all? I doubt it...

In any case, my anecdotal evidence is that our newly hired employees from both physics and engineering programs typically know enough about numerics to be useful. I'm sure they are teaching themselves some of it on-the-job, but that is always expected. Perhaps some of my coworkers learned a little in a standard differential equations course, while others may have taken dedicated courses on numerical methods. I had the benefit of both. Our new-hires (including me, when I was new) are much more likely to have other significant weaknesses than they are to struggle with the kind of basic numerics we need them to do. Advanced numerics are something else altogether of course; there are a few engineers on staff who are expert numericists and we track them down when needed.

jason

 

[Dale]

So it is impressive, but was almost a let-down after all of the hype in your posts. It is hard to say wow! when something doesn't live up to expectations.

That is my main issue here too. I am in principle highly supportive of using numerical methods and computational tools in physics, but the blatant overselling is a real turn-off.

I would much prefer an upper-division version than a freshman version. That way they would learn more sophisticated techniques, have deeper understanding of assumptions and limitations, etc.

At my institution it was a sophomore year course, but I cannot remember the course number so it may have technically been an upper division class. At that point in our studies we had all taken at least one programming language (mandatory freshman year) so the class did not need to cover programming-specific topics, but straight numerical methods concepts. We covered many different methods as well as which methods failed on what types of problems and why.

 

[physicsponderer]

Not at all. What if I had said, "Without reading, one cannot really teach law" or "Without reading, one cannot really teach history"?

I would have disagreed. You don't get to redefine English words. Physics does not only mean a good complete physics degree course. Law does not only mean a good complete law degree course. History does not only mean a good complete history degree course.

Physics is (the study of) the the fundamental things of the universe: energy, mass, time, fundamental particles and so on. I was careful to specify that by 'maths' I meant the ordinary sense of the word meaning equations or calculations, and not some broader sense where merely mentioning kilograms is maths, for example. It's possible to teach years and years of physics without requiring students to use equations or do calculations, even if the bedrock of physics is mathematical, and most of physics is mathematical. Have you looked at "Relativity Visualized" by Lewis Carroll Epstein? He uses word and pictures to explain the basics of special relativity.

Telling someone that the Earth goes around the sun in an elliptical orbit is physics. It's not all of physics, or even all of the physics of orbits. But some of physics is still physics, and teaching some of physics is still teaching physics.

It seems to me that most physics graduates are sorely lacking in understanding the meaning of the maths they have learned to use. They don't understand how the world works. They believe all sorts of misconceptions about physics. I suspect that the reason is a neglect of nonmathematical physics in physics degree courses. Most graduates do not even understand Newton's third law of motion, nor can they tell you what causes wood to float on water. These things can be explained nonmathematically, but are parts of physics, and in my opinion, very important and interesting parts of physics. Physics puzzles ('What if' type questions in words, requiring no calculations) show how shallow the understanding of how things work can be, of graduates and even professors of physics. I believe that acting as if physics is a branch of maths is part of the problem.

 

[physicsponderer]

That is my main issue here too. I am in principle highly supportive of using numerical methods and computational tools in physics, but the blatant overselling is a real turn-off.

If he is basically right, I can forgive him for being passionate about the point he is making. Why is the 'overselling' such a turn off for you?

 

[physicsponderer]

Anecdotally, it has been much more common for new-hires to have conceptual shortfalls or weak analytical skills than to have trouble throwing the computer at a problem.

What the paper shows is use of a computer to solve a problem. It is no more a case of throwing a computer at a problem than solving a problem with pencil and paper and ruler is throwing a pencil, paper, and ruler at the problem.

 

[hutchphd]

It's possible to teach years and years of physics without requiring students to use equations or do calculations, even if the bedrock of physics is mathematical, and most of physics is mathematical.

This is true but what you seem to ignore is how much simpler it is when you know the appropriate mathematics. At some point the easiest way to learn is to bite the bullet and learn the mathematics. It is taught that way not because of some mathematical fetish among practitioners of the craft.
At some point in a foreign country one learns the language or has a much diminished experience.

.