Negative Math: How Mathematical Rules Can Be Positively BentPrinceton University Press, 5 janv. 2014 - 288 pages A student in class asks the math teacher: "Shouldn't minus times minus make minus?" Teachers soon convince most students that it does not. Yet the innocent question brings with it a germ of mathematical creativity. What happens if we encourage that thought, odd and ungrounded though it may seem?
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Table des matières
A number line | 11 |
Much Ado About | 18 |
Meaningful and Meaningless | 43 |
The sum of a positive number and an imaginary number represented as a line | 45 |
The geometric sum of two straight lines | 63 |
The complex number 4 + 5i represented as a diagonal line | 75 |
A rectangular triangle | 76 |
Making Radically | 80 |
A diagram of the Pythagorean theorem | 144 |
A triangle constructed on a plane of positive and imaginary numbers | 146 |
A representation of numbers as units on perpendicular lines | 148 |
Lines determined by the same two numbers but in different order | 150 |
Lines rotated 90 from one another without imaginary numbers | 151 |
Making a Meaningful Math | 174 |
notes | 235 |
further reading | 249 |