What type of problems do you like the most?

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Discussion Overview

The discussion revolves around the types of problems participants prefer to solve in physics and mathematics, including conceptual problems, numerical problems, and derivations. Participants share their preferences and the satisfaction they derive from different problem types.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant prefers problems that provide values and ask for an unknown, finding them satisfying as they feel like puzzles.
  • Another participant enjoys problems in Optics due to their interest in the topic, suggesting that personal interest influences problem preference.
  • Some participants express a preference for conceptual problems, particularly paradoxes, indicating a desire for deeper engagement with the material.
  • One participant dislikes problems that are conceptually straightforward but mathematically tedious, highlighting a distinction between conceptual clarity and mathematical complexity.
  • A later reply mentions impatience with conceptual questions, indicating a desire to progress quickly in their studies.

Areas of Agreement / Disagreement

Participants express a variety of preferences regarding problem types, with no consensus on a single preferred type. Some enjoy conceptual challenges, while others prefer numerical problems or express frustration with tedious mathematical processes.

Contextual Notes

Participants' preferences may depend on their current level of study, personal interests, and experiences with different types of problems, which are not fully explored in the discussion.

Who May Find This Useful

Individuals interested in problem-solving approaches in physics and mathematics, particularly students navigating different types of problems in their studies.

bigmike94
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TL;DR
Which sort of problems do you get the most pleasure from solving
There’s many types of problems in textbooks for example conceptual problems, problems where you’re given values and asked to find an unknown value and also problems that start with “show that..” “give x can you show y” “derive an equation in terms of…”

Im curious as to what type you like solving the most and what type is less satisfying.

For me I prefer to be given values about a situation and be asked to find an unknown.

I like trying to picture the situation and thinking about what needs to be known to find the value I am looking for.

It feels like a puzzle and for me it’s highly satisfying, especially because you’re looking for an actual real number something you can think “oh that makes sense” or maybe “I’m not sure this is right why would a particle be moving at 500 coulombs per Newton”🤣

And the least satisfying for me has to be the type that start with “show that..” “prove that..” “derive an equation in terms of..”

I just don’t feel like I am getting much from them, I mean you can say I am bias because I struggle with them but even when I can solve them or check the solution I get near zero satisfaction.

On the other hand learning the theory and following derivations and using all this to solve a real problem just hits the sweet spot.
 
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I enjoyed the problems in my Optics classes the most. Probably because I was very interested in the topic, unlike other classes.
 
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I like solving conceptual problems, especially paradoxes.
 
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Demystifier said:
I like solving conceptual problems, especially paradoxes.
This is what I need to sit down and spend time with. I think because I’m still studying first year physics I’m just too impatient and really want to get onto the next level. So I just ignore all the discussion/conceptual questions.
 
I like most problem solving but I find that one type that I DON'T like is where the problem is conceptually straightforward but algebraically (or otherwise mathematically) tedious.
 
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