Learn Math & Physics on Your Own: Tips for Middle Schoolers

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Discussion Overview

The discussion revolves around the possibility and resources for middle school students to learn math and physics independently, covering topics from trigonometry to basic calculus. Participants share recommendations for books and online resources, as well as personal experiences with self-directed learning.

Discussion Character

  • Exploratory
  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses a desire to learn math and physics independently, asking if it's feasible to cover topics from trigonometry to basic calculus.
  • Several participants recommend specific books, such as "Algebra and Trigonometry With Analytic Geometry: A Problem-Solving Approach" and others, suggesting they are useful for self-study.
  • Online resources like MIT OpenCourseWare (MITOCW) and Khan Academy are suggested as valuable tools for independent learning.
  • One participant advises against specializing too early, suggesting that breadth of knowledge in various subjects may be more beneficial at this stage.
  • Another participant shares their personal experience of successfully learning basic calculus and physics before university, emphasizing the potential for self-directed study.

Areas of Agreement / Disagreement

Participants generally agree that it is possible for middle school students to learn math and physics on their own, but there are differing opinions on the approach to take, such as whether to focus on breadth versus depth in their studies.

Contextual Notes

Some participants mention specific prerequisites for understanding certain topics, indicating that prior knowledge may influence the learning path. There are also varying levels of confidence expressed regarding the ability to self-learn complex subjects.

phynoldus
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So i am a kid in middle school and have a serious interest in math/physics and feel kind of unstimulated in school.
So my question is can i learn everything between trigonometry all the way to some basic calculus math on my own?
If so which books or websites could i find?
 
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Of course you can. You can study almost anything on your own, if you're an intelligent person (which you obviously are) and you have internet. Check out MITOCW and other MOOCs.
 
FermatPell said:
Of course you can. You can study almost anything on your own, if you're an intelligent person (which you obviously are) and you have internet. Check out MITOCW and other MOOCs.

I will!
 
Learning on your own is great, but I'd be wary of specializing too early. Go for breadth at this point over depth to really find your passions. If I were you I'd be reading introductory material on all kinds of different engineering and science disciplines as well as reading in the humanities.
 
Before I started university, I took it upon myself to learn basic calculus and some rudimentary physics. It's definitely possible. I second verty's recommendation for ... A Problem Solving Approach. One thing I've found with learning things on your own is it's easier to get lost/off track. If you find yourself in that position, check out Kahn Academy, it's an online school of sorts with everything you'll need. That website helped me a lot.
 
Here is a third book to start with, elementary algebra: factoring, simultaneous linear equations, quadratic equations. If you know what factoring is and what "difference of squares" refers to, you can get by without this book. Or learn it at the same time as geometry.

https://www.amazon.com/dp/0071611630/?tag=pfamazon01-20.

Best of luck.
 
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