The "Head First Series" on Mathematics is a great resource on learning mathematics from the basics.
They're brought out editions on Statistics, Algebra and there's even a Manga Guide to Calculus (though this needs to be imported from US)!!!
The Teaching Company (TTC) have some good videos on learning mathematics (and other subjects too).
Wikipedia on "How to Solve It by George Polya",
Mathematics and Plausible Reasoning (Volume I) by George Polya,
Mathematics and Plausible Reasoning: Volume II Patterns and Inference by George Polya,
How to Solve It: Modern Heuristics by Michaelwicz and Fogel,
Teaching Math with Moodle 1.9 (open source free software and book)
Interview of Polya on Mathematical Abilities : http://tme.coe.uga.edu/wp-content/uploads/2012/08/v21n1_Editorial_KilpatrickPolya.pdf
"Mathematician's Mind - The Psychology of Invention in the Mathematical Field" by Jacques Hadamard : http://www.inp.nsk.su/~silagadz/Hadamard_Essay.pdf (later this essay was reissued as the book)
Calculus: An Intuitive and Physical Approach (Second Edition) by Morris Kline
Mathematics and the Physical World by Morris Kline,
Mathematics for the Non-mathematician,
The Language of Mathematics: Making the Invisible Visible by Keith Devlin
chycho (with Video Series on Mathematics freely available as a torrent)
How to Lie with Statistics
Head First Series:
Excellent article on Math Notation (Semiotics),
(Cut-The-Knot.org) Interactive Mathematics Miscellany and Puzzles, Index,
According to the Rules (Rete AI algorithm in easy english)
Math Better Explained : Downloadable ebook with slides ($$)
Blog on Setting up Moodle for Mathematics
Teach College Math Resources (presentations etc)
========
3. Know about the ways of learning: The best way to learn anything is to discover it by yourself.
4. Try to read the faces of your students, try to see their expectations and difficulties, put yourself in their place.
5. Give them not only information, but “know-how”, attitudes of mind, the habit of methodical work.
6. Let them learn guessing.
7. Let them learn proving.
8. Look out for such features of the problem at hand as may be useful in solving the problems to come – try to disclose the general pattern that lies behind the present concrete situation.
9. Do not give away your whole secret at once—let the students guess before you tell it—let them find out by themselves as much as feasible.
10. Suggest it, do not force it down your throats.
==============
"e": The Story of a Number,
An Imaginary Tale: The Story of "i"
They're brought out editions on Statistics, Algebra and there's even a Manga Guide to Calculus (though this needs to be imported from US)!!!
The Teaching Company (TTC) have some good videos on learning mathematics (and other subjects too).
Problem Solving approaches to attack a problem from multiple angles
How to Solve It by George PolyaWikipedia on "How to Solve It by George Polya",
Mathematics and Plausible Reasoning (Volume I) by George Polya,
Mathematics and Plausible Reasoning: Volume II Patterns and Inference by George Polya,
How to Solve It: Modern Heuristics by Michaelwicz and Fogel,
Teaching and Learning
Mathematical Discovery: On Understanding, Learning and Teaching by George Polya,Teaching Math with Moodle 1.9 (open source free software and book)
Interview of Polya on Mathematical Abilities : http://tme.coe.uga.edu/wp-content/uploads/2012/08/v21n1_Editorial_KilpatrickPolya.pdf
"Mathematician's Mind - The Psychology of Invention in the Mathematical Field" by Jacques Hadamard : http://www.inp.nsk.su/~silagadz/Hadamard_Essay.pdf (later this essay was reissued as the book)
Learning and Understanding Math Intuitively
The Mathematical Mechanic: Using Physical Reasoning To Solve ProblemsCalculus: An Intuitive and Physical Approach (Second Edition) by Morris Kline
Mathematics and the Physical World by Morris Kline,
Mathematics for the Non-mathematician,
The Language of Mathematics: Making the Invisible Visible by Keith Devlin
chycho (with Video Series on Mathematics freely available as a torrent)
How to Lie with Statistics
Head First Series:
- Head First 2D Geometry,
- Head First Algebra,
- Head First Statistics,
- Manga Guide to Calculus,
- Mathematica Cookbook,
- Statistics Hacks, Statistics in a Nutshell
Links
How to Develop a Mindset for Math | BetterExplained,Excellent article on Math Notation (Semiotics),
(Cut-The-Knot.org) Interactive Mathematics Miscellany and Puzzles, Index,
According to the Rules (Rete AI algorithm in easy english)
Math Better Explained : Downloadable ebook with slides ($$)
Blog on Setting up Moodle for Mathematics
Teach College Math Resources (presentations etc)
========
George Polya’s 10 commandments for teachers:
1. Be interested in your subject. Convince the kids that mathematics is amusing.
2. Know your subject.3. Know about the ways of learning: The best way to learn anything is to discover it by yourself.
4. Try to read the faces of your students, try to see their expectations and difficulties, put yourself in their place.
5. Give them not only information, but “know-how”, attitudes of mind, the habit of methodical work.
6. Let them learn guessing.
7. Let them learn proving.
8. Look out for such features of the problem at hand as may be useful in solving the problems to come – try to disclose the general pattern that lies behind the present concrete situation.
9. Do not give away your whole secret at once—let the students guess before you tell it—let them find out by themselves as much as feasible.
10. Suggest it, do not force it down your throats.
==============
Fun Maths:
Arvind Gupta Math Toys and Books,"e": The Story of a Number,
An Imaginary Tale: The Story of "i"
The Teaching Company (Videos/Audios) on Learning Different Subjects:
[Mathematics]- TTC - Joy of Mathematics
- TTC - High School Algebra 1 and 2, Geometry, Chemistry
- TTC - Calculus Made Clear
- TTC - Understanding Calculus - Problems, Solutions and Tips
- TTC - Physics in Your Life
- TTC - Meaning From Data - Statistics Made Clear
- TTC - An Introduction to Number Theory
- TTC - What Are The Chances - Probability Made Clear
- TTC - Understanding Complexity
- TTC - Great Scientific Ideas That Changed the World
- TTC - Zero to Infinity - A History of NumbersTTC - Albert Einstein
- TTC - How to become a Superstar Student
- TTC - The Art and Craft of Mathematical Problem Solving
- TTC - The Art of Critical Decision Making
- TTC - Tools of Thinking - Understanding the World Through Experience and Reason
- TTC - Joy of Thinking
- TTC - Argumentation - The Study of Effective Reasoning
- TTC - Building Great Sentences
- TTC - Psychology of Human Behaviour
- TTC - Understanding Genetics
- TTC - Understanding the Brain
- TTC - Eckhart Tolle - In the Presence of a Great Mystery
- TTC - Nutrition Made Clear
- TTC - Biology And Human Behaviour
- TTC - Understanding the Fundamentals of Music
- TTC - Art of Teaching (Audio)
- TTC - Questions of Value
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