Is Self-Teaching Calculus Using Khan Academy Enough?

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Discussion Overview

The discussion revolves around the effectiveness of self-teaching calculus using Khan Academy as the primary resource. Participants explore the adequacy of Khan Academy for learning calculus concepts and whether supplementary materials, such as textbooks, are necessary for a deeper understanding.

Discussion Character

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

Main Points Raised

  • Some participants express confidence in using Khan Academy, suggesting that if it works for the individual, it is a valid approach.
  • Others argue that while Khan Academy can be a useful resource, it should not be the sole method of study, advocating for the inclusion of textbooks for a more comprehensive understanding.
  • Concerns are raised about the depth of understanding gained from Khan Academy, with some participants noting that those who primarily use it may struggle with more complex mathematical texts later on.
  • Several participants emphasize the importance of actively engaging with material, suggesting that relying solely on videos may hinder deeper learning.
  • One participant shares personal experience, indicating that while Khan Academy was helpful up to a certain level, transitioning to textbooks was necessary for mastering calculus concepts.
  • Questions are posed regarding the ultimate goals of learning calculus, suggesting that the motivation behind learning may influence the choice of resources.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the effectiveness of Khan Academy as a standalone resource for learning calculus. There are multiple competing views regarding the necessity of supplementary materials and the overall depth of understanding achievable through Khan Academy.

Contextual Notes

Some participants note limitations in their backgrounds, suggesting that prior knowledge may affect the ability to learn effectively from Khan Academy or textbooks. There is also mention of varying personal study habits and preferences that influence how participants engage with calculus material.

Who May Find This Useful

This discussion may be useful for individuals considering self-teaching calculus, particularly those weighing the merits of online resources versus traditional textbooks, as well as those interested in understanding different approaches to learning mathematics.

Ethan Hummel
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Hey everyone, I was wondering if there would be any problem with self teaching myself calculus using Khan Academy as my main resource. I looked at their course and it seems not to have many gaps in it compared to a regular Calculus course. I heard that Khan Academy is not a main resource to use when self teaching, but personally I don't see any problem with it or am I missing something? Thank you for the comments ahead of time.
 
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Go for it! If it works, you're okay. If it doesn't, you'll be better equipped for some other approach (a textbook, for instance).
 
BvU said:
Go for it! If it works, you're okay. If it doesn't, you'll be better equipped for some other approach (a textbook, for instance).
Thank you for answering me back. Do you think I could learn calculus 1 and 2 from Khan Academy, and in your opinion do you think Khan Academy is good for a conceptual understanding?
 
I can't comment on the quality of Khan Academy's calculus sections, but I would recommend not ditching the textbook entirely. Using two resources can be very beneficial, and the abundance and variety of exercises in texts compared to KA is a major plus.
 
Mondayman said:
I can't comment on the quality of Khan Academy's calculus sections, but I would recommend not ditching the textbook entirely. Using two resources can be very beneficial, and the abundance and variety of exercises in texts compared to KA is a major plus.
How would I go about exactly doing this? What I mean is how exactly would I implement the 2 together and also Khan Academy offers a very good variety of practice problems aswell
 
I'm not saying that studying from Khan Academy is bad, but I do know from experience that everybody who studied calculus primarily from Khan Academy really doesn't know calculus very well. And I've met several such people. Maybe they were exceptions though.
 
Ditch videos and learn how to read a math text. This will help you more in the long run.
 
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Student100 said:
Ditch videos and learn how to read a math text. This will help you more in the long run.
The problems is I don't know how to study from a math textbook. Could you give me some advice. Thank you
 
Ethan Hummel said:
The problems is I don't know how to study from a math textbook. Could you give me some advice. Thank you

Exactly. Thanks for proving our point. If you study Khan Academy now, then you'll end up with a basic understanding of what it is about, but you'll still be unable to read an actual text, in which case everything you did is useless since you can't advance. Khan Academy is really really easy. They just spoonfeed you the answers, they do every single step, etc. That's not how to learn math. You need to learn math by actively thinking about things, not passively listening to whatever somebody has to say. If you do Khan Academy now, you're just cheating yourself and this will hit you later when you need to read something harder than calculus and when Khan Academy isn't there to help you.

https://www.physicsforums.com/insights/how-to-study-mathematics/
https://www.physicsforums.com/insights/self-study-calculus/
 
  • #10
Ethan Hummel said:
The problems is I don't know how to study from a math textbook. Could you give me some advice. Thank you
It's as simple as starting from page one and working your way through. Read the material closely, taking notes along the way if that helps. Don't blindly follow derivations and examples; actually work through them yourself.

If you are finding yourself continuously lost on many of the steps, it may be an indication that your background is less than sufficient, in which case you would need to go back and review. There's no point in continuing on and struggling because you don't have the algebra skills.
 
  • #11
So, my question is: what is your ultimate goal here? Is learning calculus an end unto itself or is it part of a larger goal? That will help inform as to whether or not Khan Academy is good enough.
 
  • #12
From personal experience, Khan academy helped me up until second course calc. I had the same problem I never grew up learning from books. Only from professors, anyways. I learned books are the best way to learn. But I disagree with people when they say read the book, no one has time for that. What I do is skim the chapter, get a general idea. But in calc there will be proofs and stuff that is super confusing so there u will have to look online for help or professor. But the key to learning is doing problems. You learn the most be actively solving problems. I like to look at a chapter title. Go to the problem section attempt to understand the question and if I can try to solve one if not I skim chapter for the information I need. Don't read all at once you'll just forget it all. Unless your hella smart
 
  • #13
Ethan Hummel said:
Hey everyone, I was wondering if there would be any problem with self teaching myself calculus using Khan Academy as my main resource. I looked at their course and it seems not to have many gaps in it compared to a regular Calculus course. I heard that Khan Academy is not a main resource to use when self teaching, but personally I don't see any problem with it or am I missing something? Thank you for the comments ahead of time.
I see Khan Academy and other online resources as good introductory courses to be taken in parallel with regular classes in college. Sometimes a subject your professor taught might seem confusing, and you may want to take a few basic classes online just to be sure you understand what your professor is really talking about. That's important, in my opinion.
But why do you want to learn calculus? If it's just for fun, I think you should be fine with basic online classes. If you want to delve in mathematics and learn more complicated stuff, you will most likely need at least a good textbook.
 

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