Foundations Textbooks vs Khan Academy for Self Study and PreCalc CLEP

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SUMMARY

The discussion centers on the effectiveness of Khan Academy versus traditional textbooks for self-studying PreCalculus in preparation for the CLEP exam. Participants emphasize the importance of active problem-solving and critical thinking over passive learning methods. While Khan Academy is praised for its introductory content, it is criticized for providing overly simplistic problems, particularly beyond algebra. Textbooks, such as Cohen's Precalculus 3rd Ed, are recommended as the primary resource, supplemented by videos for clarification when needed.

PREREQUISITES
  • Understanding of College Algebra and introductory Trigonometry
  • Familiarity with self-directed learning techniques
  • Basic knowledge of using online educational platforms like Khan Academy
  • Ability to engage with mathematical proofs and problem-solving
NEXT STEPS
  • Explore advanced problem sets in Cohen's Precalculus 3rd Ed
  • Learn effective techniques for self-study and time management
  • Investigate additional online resources for higher-level math concepts
  • Practice using Khan Academy for foundational topics before progressing
USEFUL FOR

Non-traditional college students, self-learners preparing for the CLEP exam, and anyone seeking to strengthen their PreCalculus skills through a combination of textbooks and online resources.

Chandller
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Hi PF,
I hope y'all had a great Thanksgiving. Quick question, as I've mentioned before, I am non-traditional college student who is right at just over College Algebra/beginning Trig level in Math. While I am out of university, to make enough money to return, I am wanting to CLEP PreCalculus, as well as, brush up on my PreCalculus/Foundational Mathematics.

My question is, would you suggest Khan Academy or a PreCalculus Textbook/s?
Book suggestions always appreciated. I have Cohen's Precalculus 3rd Ed, btw.I appreciate the help,
Chan
 
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Well, I might be oldfashioned, but I'd always prefer textbooks to Youtube videos. Also one should know that to learn math the worst you can do is just watching a movie; the second worst is to just read a book. The best and I think even mandatory is to get active yourself and solve a lot of problems, thinking over the proofs yourself.
 
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vanhees71 said:
Well, I might be oldfashioned, but I'd always prefer textbooks to Youtube videos. Also one should know that to learn math the worst you can do is just watching a movie; the second worst is to just read a book. The best and I think even mandatory is to get active yourself and solve a lot of problems, thinking over the proofs yourself.
 
vanhees71 said:
Well, I might be oldfashioned, but I'd always prefer textbooks to Youtube videos. Also one should know that to learn math the worst you can do is just watching a movie; the second worst is to just read a book. The best and I think even mandatory is to get active yourself and solve a lot of problems, thinking over the proofs yourself.
 
Why not use every resource in your toolkit such as watching a video explaining how to do a problem? To compete in the world today, those that eschew technology will find it harder than ever to keep up.
 
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I've nothing against technology and I think the Khan videos on Youtube are pretty good, but it's an illusion to think you can learn math from watching a movie (or in the analogue world listening a math lecture) only.
 
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Textbook as main literature and YouTube videos (and @etotheipi ) when you don't understand that either.
 
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Eventually. Videos become rare the more vertical you move up in your studies. Its important to learn how to read a textbook/articles/research paper at some point. The sooner the better. You are are not limited solely to the textbook. Thats what great about technology...
 
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The problem with Khan Academy is the problems they provide are too simple.
 
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I really like Khan Academy. I failed most of my classes every year as a student and math was one of my worst subjects.i was eventually expelled. But Khan Academy kickstarted my math education as an adult, and I was able to get pretty good at algebra before moving on to university math.

That being said, it's usefulness drops off after algebra in my opinion. The problems are lacking, and it's interface is just weird for deep learning.

If you intend to complete a degree in just about any field, you will most likely have to get used to learning on your own, using whatever resources available but mostly your lectures and textbooks, as well as office hours with TAs or profs.
 
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