Studying a lot for math For hours?

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Discussion Overview

The discussion revolves around strategies for improving performance in trigonometry, particularly in the context of preparing for upcoming tests and the desire to progress to Calculus I. Participants share their experiences, methods, and motivational insights related to studying mathematics effectively.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant expresses a need to pass their Trig class to advance to Calculus I and questions if solving problems for long hours will improve their skills.
  • Another participant suggests that while passion cannot be forced, extensive practice can lead to improvement and encourages finding strategies and tricks along the way.
  • A tutor shares that visualizing problems can enhance understanding of trigonometric concepts.
  • One participant recounts their experience of initially relying on homework and later realizing the importance of understanding concepts, leading to improved performance upon retaking the class.
  • Another participant emphasizes the value of application problems in making trigonometry more relatable and suggests that understanding identities will aid in future math courses.
  • A recommendation is made to read Polya's "How To Solve It" to develop problem-solving skills.
  • One participant questions whether one can truly become passionate about trigonometry and discusses its relevance to future studies and career opportunities, suggesting various books to maintain interest.
  • Another participant shares their renewed motivation for pursuing an engineering degree after engaging with the community's advice.
  • A participant reflects on their journey through calculus, emphasizing the importance of hard work and utilizing various resources for study.
  • One participant stresses the necessity of consistent practice and revisiting challenging problems until mastery is achieved.
  • Another participant shares their experience of overcoming initial struggles with trigonometry and gaining confidence through persistence and practice.

Areas of Agreement / Disagreement

Participants generally agree on the importance of practice and understanding concepts in improving performance in trigonometry. However, there are differing views on how to cultivate passion for the subject and the best strategies for studying effectively.

Contextual Notes

Some participants mention specific resources and strategies, but there is no consensus on a single best approach to studying trigonometry. Individual experiences and methods vary widely.

Who May Find This Useful

This discussion may be useful for students struggling with trigonometry, those preparing for calculus, and individuals seeking motivation and effective study strategies in mathematics.

CrossFit415
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Alright, so I'm on a mission. I need to pass my Trig class bad.

So far I have scored low on two tests. There is a mid term and a final after those.

The professor collects HW and I can keep faith with that.

I'm wondering.. If I were to keep solving problems for long hours, everyday would I get better at Trig or math in general even? I really need this class to get into Calculus I. I don't want to keep retaking classes and waste time.. How can I be more passionate with math?
 
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Well you can't force yourself to be more passionate but yes, you can become a lot better by just doing a lot of problems. Do the problems, try to pick up some tricks along the way, try to sniff out some particular strategies, etc.

Practice makes perfect.
 
After a lot of experience tutoring students in your position, I often find that students better understand the concepts of trigonometry by drawing the problem they're trying to solve. The human mind is able to more naturally see connections when aided with visuals!

Perfect practice makes perfect!
 
When I first took trig, I left the class with a D. The professor collected the homework, and I felt that I was going to do fine on the tests by just doing the homework.
I retook the class, and I learned that I needed to understand the concepts rather than just relying on the homework. After that, I passed with an A
 
Hi CrossFit, I think everyone gave good advice and lots of practice really does help :) For me trig came alive when we did application problems (like solving problems between a satellite and the Earth, etc.); it helped me to understand things as they relate to the real world. As qqkitty said, drawing is really important to understand everything spatially, and it will help you in the future when you have analytic geometry. Try your best to learn the ins and outs of those six trig functions. Knowing and understanding (proof) the identities will also be a great help in Calc I and beyond. Good luck with everything! For me, understanding was more important than doing in trig.
 
You should buy a copy of Polya's "How To Solve It". Problem solving is a skill like any other. It can be learned.
 
Can you get really passionate about trig? Should you expect to? It's an interesting subject that can keep the mind occupied for hours, like crossword puzzles or Space Invaders - isn't that enough?

Also, it's useful, as you know, for Calculus and therefore for (eventually) getting you to the frontiers of physics. And it could (eventually) get you $100 000+ working for Two Quarks if you get As in it and subsequent subjects.

Is that enough motivation to work and solve for long hours? Because you'll need to.

Try books with a different style to keep the interest going, for learning with a touch of humour try:

Trigonometry for Dummies (+ Workbook...)

History:

Trigonometric Delights by Eli Maor

And last but not least:

Schaum's Outline of Trigonometry (618 fully solved problems - try to do 'em all before reading the answers! Keep an account of the ones where you had to read the answers - then go back and do those repeatedly until you can do them without looking at the answers. )

The Polya books is great! Certainly read that... for recreation...
 
Thank you for your responses. I feel as if my motivation of pursuing my engineering degree has increased. I also have bought the books you guys recommended me. Its been a struggle but I'll stay course in my journey to becoming an engineer. Thank you.
 
I took Calculus 1 last year and earned a B. I last took math in 2006 -- a college algebra course -- and I ultimately attained a degree in English. I am currently earning a B/B+ in Calc II, and I have to tell you, hard work and careful work through examples is the key. Anyone can do it! If your book isn't good enough, look online to the variety of resources: this forum, lamar.edu, MIT lectures, whatever works for you.
 
  • #10
Yes do problems. I study for hours and hours. I don't care what other people have to or don't have to do, because I want to reach my goal and this is what is required of me.

Keep studying, do as many problems as you can. Make sure you have the answers to them, and keep doing it until you get the answer. Then do other problems, and then go back to that problem and keep doing it until you can get it right without looking at your notes. Then go BACK again after you have worked out other problems. Do this with all problems that give you trouble. It takes time, but the payment will be worth it ;)
 
  • #11
Thanks a lot. Your stories are truly inspirational. Today I had spent at least 4 to 5 hours solving problems at my work place of course lol. I really appreciate it. I will eat, sleep and breath math. I know frustrations will vanish through persistence and I know hard work will add and translate to success.
 
  • #12
CrossFit415 said:
Thanks a lot. Your stories are truly inspirational. Today I had spent at least 4 to 5 hours solving problems at my work place of course lol. I really appreciate it. I will eat, sleep and breath math. I know frustrations will vanish through persistence and I know hard work will add and translate to success.

Yes it will.. I was at a point around trig thinking this wasn't for me. I spend way too much time on it, and its still rather difficult. But I kept at it, and by the time calc 2 rolled around, I was more confident, I had worked with math more and more becoming more familair with it, and gained more study skills (small details) which made my 'math career' that much easier, even though I was learning new material. You will feel awesome for the things you have learned and are able to do. Everything takes practice. You have the right attitude, keep up the good work :D
 

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