Very High GPA but no understanding is this possible?

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Discussion Overview

The discussion centers around the relationship between academic performance, specifically high GPAs, and actual understanding of mathematical concepts. Participants explore whether it is possible to achieve high grades without a deep comprehension of the material, particularly in calculus and related fields. The conversation touches on educational practices, the nature of problem-solving in mathematics, and the implications for students' future learning.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Exploratory

Main Points Raised

  • One participant expresses concern about achieving a high GPA (3.8) while feeling a lack of understanding in subjects like PDEs and special relativity, questioning how grades reflect true comprehension.
  • Some participants argue that it is possible to perform well in mathematics without a deep understanding, as long as one can follow procedural steps to solve problems.
  • Others suggest that the educational system may prioritize rote memorization and step-following over true understanding, potentially leading to difficulties in advanced studies.
  • A few participants emphasize that while proving theorems is challenging, even high school students can learn to do so, suggesting that the curriculum may not adequately foster understanding.
  • Some contributions highlight that practical applications in physics and engineering can enhance understanding of calculus concepts, contrasting with purely computational courses.
  • There are differing views on whether understanding can be intuitive or if it requires formal proof skills, with some asserting that true comprehension should not rely solely on following steps.

Areas of Agreement / Disagreement

Participants do not reach a consensus; multiple competing views remain regarding the relationship between grades and understanding, as well as the effectiveness of current educational practices.

Contextual Notes

Some participants note that the discussion is influenced by personal experiences with different teaching styles and curricula, which may vary widely. There is also mention of the potential need for students to relearn concepts if foundational understanding is lacking.

  • #31
I think there's a strong correlation between getting good grades and understanding the material.

I think getting good grades involves just jumping through hoops. These include doing the homework on time, doing well on exams, showing up for labs.

Understanding the material, though, requires more than this. You need to really sit and think about things. You need to ask yourself the right questions, seek outside resources, etc.

I think it is fairly common to see people who don't jump through the hoops (and thus their grades suffer) and yet still think deeply about the material and understand it.

I think it is less common that people jump through the hoops and yet don't understand the material (especially in higher level courses where jumping through hoops requires solving tricky questions on exams that REQUIRE understanding).

Some people do get so caught up in getting good grades that they fail to think deeply enough and reflect on the material. Their understanding can suffer as a result.

Finally, there is something to be said about learning things outside of the scope of class. Trust me when I type that there is much more time and leeway for this in undergrad compared to grad. I wish I had taken advantage of this more. Sometimes, however, this outside learning can come at the price of a lower grade or two.

In my humble opinion, I think:

It is better to get an A- than an A if getting an A causes you to worry and fret about so many things that it takes away from the truly deep pondering and outside of the class learning.

It is better to get an A- than a B if you intend on graduate study, since admissions committees do weigh your grades, even if you feel like you are just jumping through hoops.

It is best to do the least work possible to get an A/A- for a class and use all of the time and effort you save to dig deep, make connections, study broadly, and ENJOY learning.
 
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  • #32
Thanks for the advice ZombieFeynman,

I guess I would fall into the second group that you described, but I am very fortunate because my school has still not switched to the +/- system.
 

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