Measurement

作者: Paul Lockhart 著

出版社: Belknap Press

出版时间: 2014-05

ISBN: 9780674284388

定价: 341.50

装帧: 其他

开本: 其他

纸张: 其他

页数: 416页

正文语种: 英语

分类: 外文古旧书>英文书>自然科学

5人买过

For seven years， Paul Lockhart s "A Mathematician s Lament" enjoyed a samizdat-style popularity in the mathematics underground， before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K 12 mathematics education， it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. "Measurement "offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living. In conversational prose that conveys his passion for the subject， Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas， he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science. Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising， miraculous things. As we turn our thoughts to symmetry， circles， cylinders， and cones， we begin to see that almost anyone can do the math in a way that brings emotional and aesthetic rewards. "Measurement" is an invitation to summon curiosity， courage， and creativity in order to experience firsthand the playful excitement of mathematical work. Paul Lockhart is a Mathematics teacher at St. Ann's School, Brooklyn, NY.,, Reality and Imagination
On Problems
Part One: Size and Shape
In which we begin our investigation of abstract geometrical figures.
Symmetrical tiling and angle measurement.
Scaling and proportion.
Length, area, and volume.
The method of exhaustion and its consequences.
Polygons and trigonometry.
Conic sections and projective geometry.
Mechanical curves.
Part Two: Time and Space
Containing some thoughts on mathematical motion.
Coordinate systems and dimension.
Motion as a numerical relationship.
Vector representation and mechanical relativity.
The measurement of velocity.
The differential calculus and its myriad uses.
Some final words of encouragement to the reader.
Acknowledgments
Index
内容简介:
For seven years， Paul Lockhart s "A Mathematician s Lament" enjoyed a samizdat-style popularity in the mathematics underground， before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K 12 mathematics education， it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. "Measurement "offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living. In conversational prose that conveys his passion for the subject， Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas， he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science. Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising， miraculous things. As we turn our thoughts to symmetry， circles， cylinders， and cones， we begin to see that almost anyone can do the math in a way that brings emotional and aesthetic rewards. "Measurement" is an invitation to summon curiosity， courage， and creativity in order to experience firsthand the playful excitement of mathematical work.
作者简介:
Paul Lockhart is a Mathematics teacher at St. Ann's School, Brooklyn, NY.,,
目录:
Reality and Imagination
On Problems
Part One: Size and Shape
In which we begin our investigation of abstract geometrical figures.
Symmetrical tiling and angle measurement.
Scaling and proportion.
Length, area, and volume.
The method of exhaustion and its consequences.
Polygons and trigonometry.
Conic sections and projective geometry.
Mechanical curves.
Part Two: Time and Space
Containing some thoughts on mathematical motion.
Coordinate systems and dimension.
Motion as a numerical relationship.
Vector representation and mechanical relativity.
The measurement of velocity.
The differential calculus and its myriad uses.
Some final words of encouragement to the reader.
Acknowledgments
Index