UNDERSTANDING ALGEBRA DEPENDS ON THIS SIMPLE IDEA
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00:00 INTRODUCTION
01:06 THE PRINCIPLE ITSELF GEOMETRIC INTERPRETATION
02:04 EXAMPLE 1, LINEAR EQUATION
02:50 PEOPLE DON'T UNDERSTAND MATHEMATICS OR WHY THIS PRINCIPLE IS IMPORTANT
05:35 EXAMPLE 2, FRACTIONS
07:09 EXAMPLE 3, ROOTS
08:46 "THE CROSS-CROSS PROBLEM": HOW TO AVOID CONFUSING AND AVOIDING MISTAKES?
10:30 CANNISHING FACTORS. A POPULAR MISTAKE YOU WON'T MAKE AGAIN.
11:30 IS IT RIGHT TO FORBIDDEN MISTAKES?
13:25 THE METHOD TRAP
13:50 THE SECOND TRAP: EXTRA ROOTS
14:50 WHAT ABOUT INEQUALITIES?