Math Through the Ages: A Gentle History for Teachers and OthersMAA, 9. sep. 2004 - 273 sider Where did maths come from? Who thought up all those algebra symbols, and why? What's the story behind ... negative numbers? ... the metric system? ... quadratic equations? ... sine and cosine? The 25 independent sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that's accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further. |
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Resultat 1-5 av 77
Side vii
... things that share common historical roots . They are preceded by a brief panorama of the history of mathematics , from its earliest days to the present . This provides a skeletal framework of important people and events that shaped the ...
... things that share common historical roots . They are preceded by a brief panorama of the history of mathematics , from its earliest days to the present . This provides a skeletal framework of important people and events that shaped the ...
Side xi
... Algebra with Symbols .. 9. Linear Thinking Solving First Degree Equations .. 10. A Square and Things Quadratic Equations .. 85 93 .101 ... 107 . 113 ... 121 .127 11. Intrigue in Renaissance Italy Solving Cubic Equations ... 12. xi.
... Algebra with Symbols .. 9. Linear Thinking Solving First Degree Equations .. 10. A Square and Things Quadratic Equations .. 85 93 .101 ... 107 . 113 ... 121 .127 11. Intrigue in Renaissance Italy Solving Cubic Equations ... 12. xi.
Side 1
... things come from . With your help , that curiosity can lead them to make sense of the mathematical processes they need to know . So what's a good way to use history in the mathematics classroom ? The first answer that comes to mind ...
... things come from . With your help , that curiosity can lead them to make sense of the mathematical processes they need to know . So what's a good way to use history in the mathematics classroom ? The first answer that comes to mind ...
Side 2
... things . It is , after all , an interesting story in which a student is the hero and outwits his teacher . That in itself will probably interest students , and perhaps they will remember it . Being fixed in their memory , the story can ...
... things . It is , after all , an interesting story in which a student is the hero and outwits his teacher . That in itself will probably interest students , and perhaps they will remember it . Being fixed in their memory , the story can ...
Side 3
... things for a reason , and their work typically builds on previous work in a vast cross - generational collaboration . Historical information often allows us to share this " big picture " with students . It also often serves to explain ...
... things for a reason , and their work typically builds on previous work in a vast cross - generational collaboration . Historical information often allows us to share this " big picture " with students . It also often serves to explain ...
Innhold
III | 5 |
IV | 6 |
V | 14 |
VI | 24 |
VII | 28 |
VIII | 32 |
IX | 35 |
X | 37 |
XXXIV | 133 |
XXXVI | 139 |
XXXVII | 147 |
XL | 155 |
XLII | 163 |
XLIV | 169 |
XLVI | 177 |
XLVIII | 185 |
XI | 42 |
XII | 47 |
XIII | 53 |
XIV | 59 |
XV | 65 |
XVII | 73 |
XIX | 79 |
XXI | 85 |
XXIII | 93 |
XXIV | 101 |
XXVI | 107 |
XXVIII | 113 |
XXX | 121 |
XXXII | 127 |
L | 193 |
LII | 201 |
LIV | 207 |
LVI | 215 |
LVIII | 223 |
LX | 231 |
LXII | 237 |
LXIV | 245 |
LXVI | 248 |
LXVII | 250 |
253 | |
262 | |
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Vanlige uttrykk og setninger
19th century Al-Khwarizmī algebra ancient Archimedean solids arithmetic astronomy Babylonian basic became began Bombelli calculate called Cantor's Cardano chord circle complex numbers cube cubic equations cultures decimal Descartes developed digits Diophantus Display early Egyptian ematics equal Euclid Euclid's Euclid's Elements Euler Europe example explain fact famous Fermat Fermat's Last Theorem formula fractions geometry Greek mathematicians Greek mathematics Hindu-Arabic history of mathematics ideas important India infinite interesting Latin length Leonhard Euler line segment logical math Mathematical Association measure method modern multiply negative numbers non-Euclidean non-Euclidean geometry notation Parallel Postulate plane Platonic Solids probability problems Projects proof prove Pythagorean Theorem quantities questions radius ratio says scholars side sine Sketch solution solve square root statistics story subtraction symbols Tartaglia texts theory things tion tradition translated triangles trigonometry unit University whole numbers words written wrote York zero
Referanser til denne boken
Imagining Numbers: (particularly the Square Root of Minus Fifteen) Barry Mazur Begrenset visning - 2003 |
Mathematical Connections: A Companion for Teachers and Others Al Cuoco Ingen forhåndsvisning tilgjengelig - 2005 |