Math Through the Ages: A Gentle History for Teachers and OthersMAA, 9. sep. 2004 - 273 strani 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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Stran viii
... stories about mathematical people and events have evolved over many years , creating a body of " folklore " with very little hard documentary evidence to support it . Despite their potential to annoy historical scholars , many of these ...
... stories about mathematical people and events have evolved over many years , creating a body of " folklore " with very little hard documentary evidence to support it . Despite their potential to annoy historical scholars , many of these ...
Stran xi
... Story of Zero .... 79 4. Broken Numbers Writing Fractions .. 5. Something Less Than Nothing ? Negative Numbers .... 6. By Tens and Tenths Metric Measurement ... 7. Measuring the Circle The Story of π ......... .. 8. The Cossic Art ...
... Story of Zero .... 79 4. Broken Numbers Writing Fractions .. 5. Something Less Than Nothing ? Negative Numbers .... 6. By Tens and Tenths Metric Measurement ... 7. Measuring the Circle The Story of π ......... .. 8. The Cossic Art ...
Stran 2
... story achieves some useful 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 ...
... story achieves some useful 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 ...
Stran 3
... stories , 1 hopes to point you toward some other ways of using history in the classroom , ways that more tightly intertwine the history with the mathematics . One way to do this is to use history to provide a broad overview . It is all ...
... stories , 1 hopes to point you toward some other ways of using history in the classroom , ways that more tightly intertwine the history with the mathematics . One way to do this is to use history to provide a broad overview . It is all ...
Stran 4
... modules based on historical themes , to be published soon by the Mathematical Association of America , prob- ably on CD - ROM . The History of Mathematics in a Large Nutshell he story 4 History in the Mathematics Classroom.
... modules based on historical themes , to be published soon by the Mathematical Association of America , prob- ably on CD - ROM . The History of Mathematics in a Large Nutshell he story 4 History in the Mathematics Classroom.
Vsebina
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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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