Is Khan Academy the Best Resource for Relearning Math from Scratch?

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Discussion Overview

The discussion revolves around the best resources for relearning mathematics from elementary arithmetic to calculus. Participants explore various approaches to self-education in math, including the use of textbooks and online resources, while considering the depth of understanding required for foundational concepts.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant expresses a desire for a rigorous sequence of books that explain mathematical concepts deeply, questioning whether to start with set theory or a traditional approach.
  • Another participant recommends a comprehensive calculus book that includes reviews of basic arithmetic, suggesting that previously learned material may be boring if presented too simplistically.
  • A participant challenges the need for relearning elementary arithmetic, questioning the initial poster's current math skills.
  • Another participant reflects on their own experience with rote memorization in math education and suggests that approaching mathematics as a logical framework may be more beneficial.
  • A participant mentions having notes that begin with basic properties of integers and derive rules for fractions, indicating a preference for a conceptual understanding of math.
  • A participant endorses Khan Academy as an excellent resource for self-teaching up to pre-calculus.

Areas of Agreement / Disagreement

Participants express differing views on the necessity of relearning basic arithmetic and the best starting point for self-education in mathematics. While some advocate for traditional textbooks, others suggest alternative approaches or resources like Khan Academy. No consensus is reached on a single best method or resource.

Contextual Notes

Some participants express uncertainty about their current math skills and the effectiveness of traditional learning methods, indicating a potential gap in foundational knowledge that may affect their learning journey.

Who May Find This Useful

Individuals interested in self-teaching mathematics, particularly those looking for resources to relearn foundational concepts or seeking alternative educational approaches.

bobbdobbs
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So a few years after school, I managed to forget most of what I learned in math class. I'm planning on reteaching myself from elementary arithmetic to calculus. I'm requesting a sequence of books to get me there. Looking for something rigorous, that actually explains why algorithms work, etc. Something that won't bore me when it comes to the basics. Should I learn set theory to start off with, or just go with the more traditional approach?

Also, apologies for not posting in the learning materials forum, PF won't let me for some reason.
 
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I would recommend getting a calculus book. The one calculus book that I use for calculus covers Calculus 1, Calculus 2, and multivariable calculus all in one book. Most calculus books have a couple chapters in the back of the book, or the very first couple, that review basic arithmetic for those who haven't studied math in a while. If you learned the material already at one point in your life, you will most likely be bored with books that attempt to teach these topics as if they are presented to you for the very first time.
 
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Why would you fail to mention the title and author of this wonderful book?

RGV
 
bobbdobbs said:
So a few years after school, I managed to forget most of what I learned in math class. I'm planning on reteaching myself from elementary arithmetic to calculus. I'm requesting a sequence of books to get me there. Looking for something rigorous, that actually explains why algorithms work, etc. Something that won't bore me when it comes to the basics. Should I learn set theory to start off with, or just go with the more traditional approach?
How would you describe your current math skills? I find it hard to believe you need to reteach yourself something like elementary arithmetic.
 
How would you describe your current math skills? I find it hard to believe you need to reteach yourself something like elementary arithmetic.

As far as basic math goes, I could do with a quick refresher. Some things I have forgotten, like some of the operations with fractions, but nothing that couldn't be recovered in about a week.

However, most of the books I was taught with taught by rote memorization of arithmetic algorithms without a deeper understanding of why those algorithms work, which probably explains why I forgot them in the first place. Same goes for early algebra.

I'm wondering if it wouldn't be easier to start by approaching mathematics as a logical framework, rather than simply a mechanical method for manipulating numbers.

I could probably wrap my head around elementary set theory and mathematical logic, so I'm wondering if there are any textbooks that teach from that perspective.
 
I have a set of notes which are posted here on this forum which starts off with basic properties of integer numbers and then derives the proper addition rule for fractions later on. It uses letters as representation of numbers straight away though.
 

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