Approaching physics mathematically-help

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Discussion Overview

The discussion revolves around the challenges of integrating mathematical skills with intuitive problem-solving in physics, particularly in the context of AP physics. Participants share their experiences and offer advice on improving mathematical application in physics problems.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant expresses difficulty in translating intuitive physics understanding into mathematical equations, despite having good mathematical skills.
  • Another participant suggests that relying solely on intuition may lead to incomplete analysis of problems and recommends practicing by writing out all steps, even for intuitive answers.
  • A third participant emphasizes the importance of systematic approaches, such as writing assumptions, drawing diagrams, and articulating the problem in words to enhance understanding.
  • One participant shares their contrasting experience of finding math easy but receiving advice from their teacher to focus more on intuition, which they disagree with.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to integrating math and intuition in physics. There are differing views on the effectiveness of intuitive problem-solving versus systematic mathematical approaches.

Contextual Notes

Some participants highlight the need for practice and systematic methods, while others question the value of intuition over mathematical rigor, indicating a lack of resolution on the optimal strategy for learning physics.

Who May Find This Useful

Students studying physics, particularly those preparing for AP physics, and educators looking for insights into teaching methods that balance intuition and mathematical reasoning.

moephysics
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Hey I've been studying physics for a while and recently I am taking AP physics and I am good at tackling physics intuitively, however when it comes to describing problems in equations I seem sometimes to have some trouble even although my mathematical skills are pretty good. I just need some advice on how to get better at using my mathematical skills throughout physics without having a problem doing so (and also tell me if there are any books that would help me tackle this problem).That is all and thank you.
 
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Tackling problems intuitively can mean that you're not taking the time to fully reason out the answer. If you read a problem, come up with an answer that seems obvious and more often than not you're consistent with the correct answer - this doesn't mean you're doing a complete job of analysing the problem and will pave the way for errors down the road.

Of course, you're asking how to correct this. And the answer is simple: practice. Even for problems that seem to have an intuitive answer, start by writing everything out.
 
Welcome to the party. This is the whole point of the college education process. It takes a lot of practice to become good at what you're talking about. I don't really have any specific suggestions, just keeping working problems and you'll improve with time. It gets easier.

One thing you can do is try to be systematic. Start out writing your assumptions, draw a picture of the problem, and then maybe write some basic equations. If you become stuck, it is often helpful to try and think through the problem and write out a paragraph describing what is going on. If you still can't find a solution, you might have to try and be more clever or think of an alternative method. If you can't solve a problem in the first hour, then skip it, and go back to it later. That's all I can really say.
 
I am somewhat opposite to you, I find it easy to incorporate the math. Only difference is, my teacher says i should forget about the math and think more intuitively. I think this is a bad idea though so I will only take it for what its worth.
 

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