Not seeing things in physics and mathematics.

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Discussion Overview

The discussion revolves around the frustrations and challenges faced by students in physics and mathematics when they encounter moments of oversight or failure to recognize familiar concepts. Participants share personal experiences and coping strategies related to these feelings of inadequacy and the nature of understanding in STEM fields.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses frustration over not recognizing a mathematical notation related to the rising factorial, leading to feelings of inadequacy.
  • Another participant reassures that feeling discouraged about missing obvious things is common and suggests it may just be a bad day.
  • A different participant emphasizes their ability to grasp new physical concepts but expresses frustration over hidden details that are expected to be seen.
  • One reply suggests that such moments of oversight are a natural part of the profession and encourages learning from these experiences.
  • Another participant discusses the phenomenon of attention, noting that familiar concepts can be overlooked when approached from an unfamiliar perspective.
  • A later post questions a mathematical expression, indicating uncertainty about whether it is correct.

Areas of Agreement / Disagreement

Participants generally agree that moments of oversight are common in the fields of physics and mathematics, but there is no consensus on how to best cope with these feelings or the implications for one's academic path.

Contextual Notes

Some participants mention specific experiences and feelings related to their academic journey, highlighting the subjective nature of understanding and recognition in mathematics and physics.

Who May Find This Useful

Students and professionals in mathematics and physics who experience frustration with oversight or conceptual recognition may find this discussion relatable and supportive.

KingCrimson
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I was doing this problem in calculus, and I came up with the answer dy/dx=n(n+1)(n+2)..(n+(n-1)) and so on. To me this looked like a factorial backwards, and I wanted to find notation that expresses such a series. I googled it and I found the "Rising Factorial" notation. However, as I continued reading the page, I saw this, "The rising factorial can be expressed as Factorial of (n+(n-1))." At this moment I felt stupid for not realising this. It was obvious yet I didn't see it.
Now why I am posting this topic is that I get really frustrated when such things occur, when I just don't see it. It doesn't happen frequently, but when it does it just kills me and makes me think I am stupid or something.
I even considered choosing another major due to this happening to me before. I know I may be overreacting, and I know I am not stupid, I am well capable of mathematics and physics beyond my age, but I don't know how to deal with such moments.
Does it ever happen to you? how do you deal with it then?
 
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Worse stuff happens mate. You're not the first and won't be the last for feeling terrible about missing obvious things, but don't let that discourage you. Maybe it's just a bad day and you'll get over it in a while.

If however, you repeatedly find yourself struggling at grasping concepts (NOT the occasional silly mistake), then I think you should reconsider your subject choice.
 
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no no not at all, my physics teacher said in my university recommendation letter that I have an exceptional ability to graps new physical concepts and in solving problems. I don't miss obvious things unless I know I have not been carefull, it's those hidden things that I expect that I must see otherwise I wouldn't be a good physicist that really piss me off.
 
KingCrimson said:
I was doing this problem in calculus, and I came up with the answer dy/dx=n(n+1)(n+2)..(n+(n-1)) and so on. To me this looked like a factorial backwards, and I wanted to find notation that expresses such a series. I googled it and I found the "Rising Factorial" notation. However, as I continued reading the page, I saw this, "The rising factorial can be expressed as Factorial of (n+(n-1))." At this moment I felt stupid for not realising this. It was obvious yet I didn't see it.
Now why I am posting this topic is that I get really frustrated when such things occur, when I just don't see it. It doesn't happen frequently, but when it does it just kills me and makes me think I am stupid or something.
I even considered choosing another major due to this happening to me before. I know I may be overreacting, and I know I am not stupid, I am well capable of mathematics and physics beyond my age, but I don't know how to deal with such moments.
Does it ever happen to you? how do you deal with it then?

Then welcome to the club. If you are hoping that such a thing won't happen, then you are in the wrong profession. This happens to almost everyone, even when you become established in your profession.

http://physicsandphysicists.blogspot.com/2006/11/big-one-that-got-away.html

The best thing you can do is to learn from it and figure out what made you missed such a thing.

Zz.
 
It's in the nature of the phenomenon of attention that you can be looking directly at a thing you're familiar with and not instantly grasp what you're looking at. The most common scenario I can suggest for that is when you happen to arrive at the thing from a direction you've never taken before. If you only ever go through a certain traffic intersection going East or West, approaching it from the South or North by accident one day, and not expecting it to be coming up, it can fail to register at first that you've ever been through that intersection.
 
So it was (2n-1)!/(n-1)! in the end right. Am I missing something.
 

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