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Re-learning math (books?)

  1. Apr 14, 2013 #1
    I am in the process of re-learning math to become a high school math teacher.

    In school I never really tried or studied and would make C's or B's. I have pretty much forgotten everything, and plus I want to learn again from the ground up to better my understanding and how new learners learn etc.

    So my question is which books do you all recommend that are easy to follow, precise, with the best explanations?

    So far im aware of the "For Dummies" books, "Practical Algebra", "Effortless Algebra", and "How to Ace Calculus: The Streetwise Guide"

    Will need to books and materials on all the subjects (algebra 1 & 2, geometry, trigonometry, pre-calculus, and calculus)

    Thanks in advance for any advice / recommendations.
     
  2. jcsd
  3. Apr 17, 2013 #2
    You might get more feedback if you ask this in the Academic Guidance or Career Guidance sections of this forum. I have looked in the Algebra for dummies before. My opinion is there is NO shortcut to becoming proficient in math. Unless you are a natural born mathematical genius with formulas and concepts inherent within your conscious brain circuitry, then you'll need to dedicate lots of time. You'll have to learn each and every math rule, as unimportant or insignificant as one may seem, you will need to know each one for later math levels because they all come into play, sometimes when you least expect it. You may want to start with school assigned official textbooks instead of Algebra for dummies, or express math. And from there, ask questions, seek tutoring, and search for alternate explanations. Don't just memorize formulas without fully understanding them. Nobody can memorize all the formulas if they are only meaningless symbols and letters from which to plug in numbers to arrive at an answer which makes little to sense. You need to know how each formula and rule is derived or else you will not be successful math student let alone math teacher. In regard to the book titles you mention, in my opinion, those types of titles usually imply a breif overview of the math, but not the nitty gritty. I could be wrong though in that there may be non official school approved textooks that are of great use, but you have to get feedback from those who have much more expertise than me. What I do feel confident in mentioning is that seeking to become a high school math teacher in a shortcut "express" fashion is setting yourself up for failure. Math actually becomes very enjoyable when you pace yourself and do not allow yourself to be rushed to such a degree that you have to skip comprehending concepts just to start the next section. Understanding how a formula was developed and learning to derive it myself continually increases my appreciation for math, pulls me in, and makes me want to spend more time learning it (as opposed to trying to memorize letters), which further increases my knowledge. And the same is true for many people. Unfortunately, if you have a full time job outside of math as I have and/or other obligations that make it difficult to spend lots of time studying, don't let it become a reason to conclude that one particular rule or formula is not worth fully understanding. If anything, skip it and be sure to revisit it once you can. But keep in mind, you will soon realize you can't go too far beyond a topic without encountering it once again at a more advanced stage. So even if it takes 3 weeks to finally understand a sub-sub topic, then stick with it because you surely will not be able to understand further topics without understanding previous topics. Each formula builds upon previous concepts, rules, and formulas. Finally, in my opinion, you don't need to read books on how learners learn or "new" learners learn. That time would be better spend learning math by reading math and studying from math books. Good luck.
     
  4. Apr 18, 2013 #3
    Yes you will need better books like lebombo said. Take a look in the textbooks section. There are good books in there
     
  5. Jul 10, 2013 #4

    462chevelle

    User Avatar
    Gold Member

    I am not a mathematical genious or going to school to be a math teacher. but here was my approach to relearning math. I got a college algebra and studied through it not really skimming but not really going in deep depth where I could do about 80 percent of the problems without looking back. then on to the next chapter. so that when I went to class I understood everything on a basic level and whenever something was explained I didn't know for sure before it was completely clear after lecture without much effort.
     
  6. Jul 10, 2013 #5
    Google Paul's online math notes. I have used it for tutoring people wanting to learn those subjects (or relearn them). It goes from college algebra through differential equations. It is pretty solid, I think.
     
  7. Nov 25, 2013 #6

    462chevelle

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    Gold Member

    x2 pauls notes
     
  8. Nov 25, 2013 #7
    Calculus made easy - Silvanus P Thompson, Martin Gardner

    That's an excellent book for introductory calculus in my opinion.
     
  9. Nov 25, 2013 #8
  10. Dec 3, 2013 #9
    Last edited by a moderator: May 6, 2017
  11. Dec 3, 2013 #10

    jedishrfu

    Staff: Mentor

    Don't forget KA Stroud's books on Engineering Mathematics. Its broken into two parts:
    - foundation topics (high school math review)
    - program topics (college level calculus, diff eqns..)

    What's unique about his approach is he uses small frames where some fact is explained, a problem is presented and the answer appears immediately in the next frame, sometimes with the reasoning to go with it. His book is designed for self-study at whatever pace you need and is a good review of key concepts.

    https://www.amazon.com/Engineering-...UTF8&qid=1386093500&sr=8-1&keywords=ka+stroud

    I've considered jumping to it myself but have refrained until I finish the Schaum's Vector Analysis book I'm currently struggling with. (trying to learn stuff from decades past)
     
    Last edited by a moderator: May 6, 2017
  12. Dec 5, 2013 #11
    My experience

    Well, so far i've been doing about the same, except i never really learned it more slept through the classes. BUT i have found some very helpful sources, like khanacademy and The complete idiots guide to algebra, now the latter is somewhat iffy as i havn't finished it. I can say though the author explains the reasoning behind the equations and the whys of what your doing. Its filled with corny jokes which dosn't really bother me and it gives a lighthearted mood to the book. The information in it is pretty good but i dont have anything to compare it to. I don't think its good on its own but combined with something else like khanacademy (which i have nothing bad to say about it is wonderful and anyone and everyone learning should go to it) it is efficient especially if you take notes.
     
  13. Dec 7, 2013 #12
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  16. Dec 9, 2013 #15
    Isn't that a bit too advanced? Might be better spending time on "how new learners learn etc.", with books like:

    Why Johnny Can't Add Math by Morris Kline
    Mathematics: A Very Short Introduction by Timothy Gowers

    ...plus actual school textbooks, based on "best evidence" that they work, from actual research on efficacy, for example:

    http://www.bestevidence.org.uk/assets/Secondary_math_Oct_21_2008.pdf

    This recommends the "Saxon math back-to-basics textbook" as the best resource, why not start there?
     
  17. Dec 10, 2013 #16
    Hey!

    I passed high school math with a low C.

    Years later, under new motivation, I relearned my math at Khan Academy. The mixture of watching succinct lectures and answering hundreds of questions for 2 weeks straight helped me achieve 98% when retaking Math 11 and Math 12.

    I now study Mathematical-Phys and work as a Physics lab tech.

    So, again, KhanAcademy.org/exercisedashboard
    Start from the top.
     
  18. Dec 10, 2013 #17

    jedishrfu

    Staff: Mentor

    I mentioned the book because it uses a programmed learning approach that is excellent for people relearning math. The first half of the book covers high school and the second half first and second year college which as a high school teacher would be good know in case a student wants to know about making the next step into college level math.
     
  19. Mar 25, 2014 #18
    Really, you did help me alot, nice words
    you make me stick more and more in my way to master, learning every detail and every derivation.


    Thanks
     
  20. Apr 3, 2014 #19
    I picked up a book called "Manga guide to Linear Algebra" and found it really helpful. I know its dramatically different from the books already mentioned here, but I found it really helped me prepare for the class. Paul's notes is good too though.
     
  21. Apr 5, 2014 #20
    Something that you may want to consider is signing up for a university math class but only take that one class for the semester. Go to lecture and anything that you are confused on, write down in your notes and look up later. Paul's Online Notes, Kahn Academy are all great. PatrickJMT on YouTube is incredible. It will be a lot of work (hence why I suggest only taking that one class), but if you keep at it, the concepts begin to stick like glue.

    The process I described above really never stops though. Learning and improving is a constant process.

    As far as good books for self study, apparently Euler's books on algebra are great (and from what I've read on Amazon's "book preview" feature, I agree). I want to buy them myself but they're a little too pricey.
     
    Last edited: Apr 5, 2014
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