Got my first math book to help me learn, but it's ancient

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Discussion Overview

The discussion revolves around the use of an older math book for learning basic mathematics, including mental math techniques for square roots, fractions, and multiplication. Participants share their experiences and suggestions regarding the effectiveness of older educational materials and strategies for improving math skills.

Discussion Character

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

Main Points Raised

  • One participant expresses concern about the age of the math book but finds it contains basic concepts and intends to try it.
  • Another participant argues that the age of the book does not matter, as the fundamental processes of learning math have not changed over time.
  • Several participants suggest a structured approach to relearning arithmetic, starting with single-digit addition and progressing through subtraction, multiplication, division, and fractions.
  • It is mentioned that fractions can be viewed as division problems, and overcoming the fear of fractions is essential for learning.
  • Participants emphasize the importance of patience and practice, noting that mastering these concepts takes time.
  • One participant shares a personal experience of learning from an old trigonometry book, suggesting that older books can still be valuable resources.
  • Another participant expresses a preference for older books over newer ones, citing a dislike for the flashy presentation of modern textbooks.

Areas of Agreement / Disagreement

Participants generally agree that the age of the book is not a significant issue and that foundational math concepts remain relevant. However, there are varying opinions on the effectiveness of different learning materials and methods, indicating a lack of consensus on the best approach to learning math.

Contextual Notes

Some participants note that the learning process can take several years, and the discussion reflects a range of personal experiences with different educational resources.

Who May Find This Useful

Individuals interested in self-learning mathematics, particularly those seeking affordable resources or those who prefer traditional educational materials.

uperkurk
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So my other topic was closed I'm not sure why but anyway I decided I can't really afford £20 for a math for dummies book so I went to my uni library and as you can imagine for a uni most of the math books are quite advanced, but I did manage to find this one, it's called Numbers written by Graham Flegg but it look soooo old lol.


I looked through it briefly and it has all the basic stuff in it and it also teaches you to patterns etc so I will give this a try and see how I get on!

Anyway know the best way to improve mental math? Square roots, fractions, multiplication etc?
 
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It won't matter how old the book is. The process hasn't changed.

Usually, children learn arithmetic in a set order, for good reason, so follow the same order as you relearn.

Start with addition of single digit numbers, then increase the digits as you get better at it. Then subtraction the same way.

After subtraction, go to multiplication and division, start including decimal places with those, and after that fractions. Fractions really are division problems, but people have a real fear of them that creates a mental block. They aren't difficult at all once you have the other basics down pat.

From there, move on to exponents and roots (i.e. square roots). Once you have all of the basics and can do each separately, then it's time to move on to combining them all. That's when you start including parentheses and need to think about the order of operations (PEMDAS - parentheses, exponents, multiplication, division, addition, subtraction). If you follow a book while learning addition and multiplication that explains some theory like commutative rules (look it up later), the need for that order will make sense when you get that far.

Keep in mind that it takes several years if schooling and practice to get little kids to learn all of this, and they have little sponges for brains. So, have patience and don't expect to learn it all in a week...you're going to need to renew borrowing that book quite a few times.
 
uperkurk, the age of the book generally will not matter. I learned some trigonometry from "Plane Trigonometry" by S.L. Loney (my particular copy was published in 1896!) because I had zero funds at the time (it is old enough to be in the public domain).

For practice I suggest doing what Moonbear mentioned :)

Have fun!
 
Moonbear said:
It won't matter how old the book is. The process hasn't changed.

Usually, children learn arithmetic in a set order, for good reason, so follow the same order as you relearn.

Start with addition of single digit numbers, then increase the digits as you get better at it. Then subtraction the same way.

After subtraction, go to multiplication and division, start including decimal places with those, and after that fractions. Fractions really are division problems, but people have a real fear of them that creates a mental block. They aren't difficult at all once you have the other basics down pat.

From there, move on to exponents and roots (i.e. square roots). Once you have all of the basics and can do each separately, then it's time to move on to combining them all. That's when you start including parentheses and need to think about the order of operations (PEMDAS - parentheses, exponents, multiplication, division, addition, subtraction). If you follow a book while learning addition and multiplication that explains some theory like commutative rules (look it up later), the need for that order will make sense when you get that far.

Keep in mind that it takes several years if schooling and practice to get little kids to learn all of this, and they have little sponges for brains. So, have patience and don't expect to learn it all in a week...you're going to need to renew borrowing that book quite a few times.


Greate advice I look foward to learning maths :) Thanks for the encouragement
 
tbh I tend to like older books better than newer ones
newer books have too many flashy pictures jumping out at you..
 

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