Some mathematical insight please.

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Discussion Overview

The discussion revolves around the participant's self-assessment of their mathematical abilities, particularly in relation to their performance in tests versus their understanding of physics concepts. The scope includes personal experiences with math, test anxiety, and the challenges of applying theoretical knowledge to problem-solving in both mathematics and physics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses uncertainty about their math skills, noting a discrepancy between understanding concepts in class and performing poorly on tests.
  • Another participant questions whether the original poster can complete problem sets independently and suggests test anxiety might be a factor in their performance.
  • Some participants highlight the difference between understanding material and being able to apply it in a test setting, emphasizing the importance of practice problems.
  • There are references to the idea that anyone can improve their math skills over time, though some express skepticism about this being universally applicable.
  • One participant shares a personal experience of being able to follow lectures but struggling to apply that knowledge to new problems, suggesting a common challenge among learners.
  • Another participant notes that many aspiring physics students may not anticipate the difficulty of foundational math and physics courses compared to popular science literature.

Areas of Agreement / Disagreement

Participants generally agree on the importance of practice and the distinction between understanding concepts and applying them. However, there are competing views on whether one can improve their math skills and the nature of the challenges faced during tests.

Contextual Notes

Some participants mention the potential for test anxiety and the necessity of doing sufficient practice problems, but these points remain unresolved in terms of their impact on individual performance.

Who May Find This Useful

This discussion may be useful for students grappling with self-doubt in their mathematical abilities, particularly those transitioning from theoretical understanding to practical application in exams.

Tri
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Hello, I am new to the forum and I have made an account to ask this one simple question.
Am I good at math or not?
I have been deciphering whether I am or not for some time now. It's like a pendulum, I can pathetically fail a math test but answer immense logic problems easily. I taught myself physics, and I can understand almost every Theory(physics). When I'm in math class everything makes sense it's almost tediously easy, but when I begin the test however, I have great expectation's and I end up with embarrassing scores. I just don't understand how I do so bad when I feel so confident. Does anyone know the answer?
I would love a career in Physics or cosmology, but this math dilemma is causing second guesses.
 
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The key question is can you do the problem sets correctly without help? if so are you then having test anxiety where you forget what you need to know?

The second question would be is your understanding of Physics based on having read the various theories or in having done the problem sets?

Which reminded me of an old Abbot and Costello joke: Costello says I can understand every language in the world except Greek. Abbot speaks to him in French and Costello replies its all greek to me.

The saying is far older than I thought:

http://en.wikipedia.org/wiki/Greek_to_me
 
Tri said:
I taught myself physics, and I can understand almost every Theory(physics).

But can you do the math? Every mathematical science uses mathematics, be definition. If you can't do the math you are not a mathematical scientist.

When I'm in math class everything makes sense it's almost tediously easy, but when I begin the test however, I have great expectation's and I end up with embarrassing scores.

A professional piano player was asked what is the difference was between an amateur and a pro. He replied "an amateur practices until he gets it right. A pro practices until he gets it wrong."

What the difference between a cook and a chef? A chef can cook under the pressure of a clock. Over and over again.

You write "tediously easy". Fine. But how many problems do you do?
 
It's pretty hard to say. Even if you aren't good at math, maybe you can BECOME good at math.

It would be hard to rule out the idea that anyone could ever become good at something. In some cases, it would appear implausible, but you never know.
 
Tri said:
Hello, I am new to the forum and I have made an account to ask this one simple question.
Am I good at math or not?
I have been deciphering whether I am or not for some time now. It's like a pendulum, I can pathetically fail a math test but answer immense logic problems easily. I taught myself physics, and I can understand almost every Theory(physics). When I'm in math class everything makes sense it's almost tediously easy, but when I begin the test however, I have great expectation's and I end up with embarrassing scores. I just don't understand how I do so bad when I feel so confident. Does anyone know the answer?
I would love a career in Physics or cosmology, but this math dilemma is causing second guesses.

Do you have issues doing the problems on tests? Or do you have test anxiety? What do you think is the problem?

One thing about math is that it's very easy when reading it to think, "Oh I understand this," but once you try to do actual problems, it's not as easy as it looks. That's why someone asked if you're doing enough problems.
 
SteveL27 said:
One thing about math is that it's very easy when reading it to think, "Oh I understand this," but once you try to do actual problems, it's not as easy as it looks. That's why someone asked if you're doing enough problems.
This is so true. Personally, I find most math lectures are very simple to follow. But that's not what math is about. The definition of, say, a topological space isn't trivial but it's not a ball buster, but then taking the definitions and theorems and constructing your own proofs - that's hard.
 
SteveL27 said:
Do you have issues doing the problems on tests? Or do you have test anxiety? What do you think is the problem?

One thing about math is that it's very easy when reading it to think, "Oh I understand this," but once you try to do actual problems, it's not as easy as it looks. That's why someone asked if you're doing enough problems.

True for physics too.

Often, enthusiastic people will read a book about string theory, or something by Stephen Hawking, and decide they want a physics career. That's great, I wish them the best! But many aren't expecting freshman math and physics classes to be *so hard*. I mean, physics was easy to understand in those books they read!

It's a bit of a harsh wake-up call.
 
It's very important in science to be aware of how well you understand something. Quite often, people assume that being able to understand what the teacher/text book author did is the same as knowing the material really well. I knew a guy in high school who would always be upset that he did poorly on tests because the teacher solutions made perfect sense to him after the fact. He wasn't terrible at things, but he wasn't able to make the jump from understanding what the teacher did to being able to apply the methods to new problems.

To avoid something like that, it's important to know if you really understand the underlying concepts, or if you're just at a point where what the prof does makes sense to you. The best way to check that is to just do as many practice problems (preferably difficult!) as you can. Chances are, you'll find that you don't suck at math, but rather you just need to work harder to understand things than you thought.
 
Sometimes you can be good at doing something but not good at learning it. I've always had problems with math exams, because I can do the work with the book in front of me, but I haven't cemented it well enough to remember it in a test scenario.
 

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