I don't know if I should keep reviewing my undergraduate math

  • Context: Undergrad 
  • Thread starter Thread starter Eclair_de_XII
  • Start date Start date
  • Tags Tags
    Undergraduate
Click For Summary

Discussion Overview

The discussion revolves around the participant's uncertainty about the value of reviewing undergraduate mathematics. It touches on the challenges of retaining knowledge, the perceived relevance of the material, and the motivation behind reviewing versus applying mathematical concepts. The scope includes personal reflections on learning, teaching methods, and practical applications of mathematics.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses concern about forgetting mathematical concepts and feeling discouraged by the tediousness of reviewing material that seems irrelevant to their current situation.
  • Another participant questions the purpose of the review, asking whether it is for academic preparation or personal interest.
  • A third participant humorously notes that their use of differential equations has diminished to making jokes, suggesting a disconnect between academic knowledge and practical application.
  • Another suggestion is made that instead of merely reviewing, the participant might benefit more from applying mathematics to interesting problems or teaching it to others, which could enhance understanding.

Areas of Agreement / Disagreement

The discussion reflects a lack of consensus on the best approach to engaging with mathematics. Participants present differing views on the value of review versus application, indicating that multiple perspectives exist without a clear resolution.

Contextual Notes

Participants express varying levels of motivation and relevance regarding their mathematical knowledge, with some feeling that certain topics may not be necessary for their current or future endeavors. The discussion does not resolve the underlying assumptions about the importance of reviewing versus applying mathematical concepts.

Who May Find This Useful

This discussion may be of interest to individuals contemplating the relevance of their mathematical education, those seeking motivation for self-study, or educators looking for insights on teaching methods and student engagement with mathematics.

Eclair_de_XII
Messages
1,082
Reaction score
91
On one hand, I'm afraid I'm going to forget how to do it. On the other, some of the material feels tedious and stale. Sometimes, I encounter material I've covered and have never had to use outside the class I learned it in, which is sort of discouraging. I'm already having difficulty tackling some of the problems in my old elementary calculus book, having switched back to it after concluding that I wasn't too fond of the other textbook I had been using. Sometimes, it feels tedious to review things I'm not going to be using and/or needing anytime soon, given that I do not really plan on returning to college right now. Yet, the fact that I'm having difficulty with material I have already covered worries me. At the same time, I don't feel like the frustration is really worth it. It's like I'm trying to sharpen a rusted axe everyday, but there aren't even any trees to cut down anymore, metaphorically speaking.
 
Mathematics news on Phys.org
What are you reviewing it for, are you still in school and trying to make sure you know what you need for future courses, or just doing it for fun outside of a school setting?
 
  • Like
Likes   Reactions: russ_watters
The only thing I use differential equations for anymore is making jokes in PowerPoint presentations about how terrible differential equations are.
 
  • Haha
Likes   Reactions: Evo, Wrichik Basu and BillTre
Rather than getting practice by "reviewing" the math,
maybe it's better to get practice by "applying" the math to various problems that are of interest to you.

Maybe you can build something, or model it on a computer.
Or maybe think how you would teach it to someone else [possibly with new methods... can it be visualized?]... often, I learn a lot by having to teach it to someone else.
 
  • Like
Likes   Reactions: vela, Mondayman and BillTre

Similar threads

  • · Replies 6 ·
Replies
6
Views
3K
Replies
10
Views
3K
  • · Replies 8 ·
Replies
8
Views
801
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 17 ·
Replies
17
Views
2K