美国“数学大联盟杯赛” 介绍 (Math League)

1. 美国“数学大联盟杯赛”介绍 (Math League) 美国“数学大联盟杯赛” 组委会 胡锐 博士 (www.mathleague.cn) 2012/10/28

2. Table of Content • Math League in North America & The World • Examples of Math League Influence and Significance • History • Stanford Math League Summer Tournament • Math League in China • Intro of Committee Members • Comparison • 2012-2013 Math League in China • Online Learning System

3. Math League in North America & The World • Examples of Math League Influence and Significance • US Best High Schools Rankings • http://www.usnews.com/education/best-high-schools/national-rankings/spp+100 • http://www.mathleague.cn/jointly/consequence.php • Harvard Twins Sisters • http://www.mathleague.cn/jointly/consequence.php# • US newspaper coverage • http://www.mathleague.cn/2012/finals/newspaper.php

4. Math League History • 美国“数学大联盟杯赛” (Math League) 是美国及北美地区影响力最大的中小学数学赛事， 也是一项具有全球影响力的中小学生数学赛事。 • 美国“数学大联盟杯赛”第一届竞赛于1977年举行， 至今已经连续举办了35年。 • 每年有来自全球的超过一百万名中小学生参加。

5. Math League History • Mr. Steven R. Conrad & Mr. Daniel Flegler: 美国著名的数学教育家 • 1985年荣获由里根总统颁发的“杰出数学教育总统奖”。 • 1977年Mr. Daniel Flegler获得普林斯顿大学颁发的“卓越中学教育奖” • 担任了六年的美国SAT 组委会会员(SAT是美国大学的入学考试)。 • 担任了很多数学杂志的主编和审阅人。他们是美国十五个州和地区的数学竞赛组委会主任委员或委员。 • 共同出版了15本书。

6. Stanford Math League Summer Tournament • Intro • 2011-2012 Stanford Math League Summer Tournament • Schedule • Finals • Lectures • Activities • Counselors • Pictures

7. Stanford Math League Summer Tournament • 鉴于美国“数学大联盟杯赛”的卓越影响力，斯坦福大学(Stanford University, www.stanford.edu)和美国“数学大联盟杯赛”合作， 每年夏天在斯坦福大学联合举办美国“数学大联盟杯赛”中学组(6-12年级)决赛和数学夏令营 • Stanford Math League Summer Tournament(斯坦福大学美国“数学大联盟杯赛”决赛和数学夏令营, www.stanford.edu/dept/spcs/mathleague/) • 是斯坦福大学SPCS的重要成员，斯坦福大学SPCS的全称为斯坦福大学青少年培养计划(Stanford Pre-Collegiate Studies, http://spcs.stanford.edu/)， 又名斯坦福大学天才少年培养计划

8. Stanford Math League Summer Tournament • Intro • 2011-2012 Stanford Math League Summer Tournament • Schedule （Excel file) • Finals, http://www.mathleague.cn/2012/finals/summarize/2012-students.php • Lectures • Brian Conrad, http://www.mathleague.cn/2012/finals/professor/professor1.php • Ravi Vakil, http://www.mathleague.cn/2012/finals/professor/professor3.php • John Edmark, http://www.mathleague.cn/2012/finals/professor/professor4.php • Activities (puzzles, bridge, and etc.) • Counselors • Pictures

9. Stanford Math League Summer Tournament • Lectures • Professor Brian Conrad, 15-Puzzles, Rubik’s Cube, notes and his research style, Modularity Theorem and Fermat’s Last Theorem, his praise of the twins

10. Fermat’s Last Theorem • Around 1637, Fermat wrote his Last Theorem in the margin of his copy of the Arithmetica next to Diophantus' sum-of-squares problem: • it is impossible to separate a cube into two cubes, or a fourth power into two fourth powers, or in general, any power higher than the second, into two like powers. I have discovered a truly marvelous proof of this, which this margin is too narrow to contain. • However, in the last thirty years of his life, Fermat never again wrote of his "truly marvellous proof" of the general case.

11. Fermat’s Last Theorem • No successful proof was published until 1995 despite the efforts of countless mathematicians during the 358 intervening years. • The unsolved problem stimulated the development of algebraic number theory in the 19th century and the proof of the modularity theorem in the 20th century.

12. Fermat’s Last Theorem • The proof itself is over 100 pages long and consumed seven years of Wiles's research time. • Modularity Theorem (part), enough to imply Fermat’s Last Theorem (Ph.D. student: Brian Conrad, 1 of 6) • Full modularity theorem was then proved.

13. Stanford Math League Summer Tournament • Ravi Vakil, http://www.mathleague.cn/2012/finals/professor/professor3.php

14. Stanford Math League Summer Tournament • Professor Dan Boneh, Professor of Computer Science and Electrical Engineering, Stanford University. He is a well-known scientist and researcher in the areas of applied cryptography and computer security.

15. Stanford Math League Summer Tournament • Professor John Edmark, Department of Art and Art History • Recursion, golden ratio, Fibonacci numbers, fractal

16. Stanford Math League Summer Tournament • Professor Rick Sommer and Professor Rafe Mazzeo, founders of SPCS and SUMaC at Stanford.

17. Table of Content • Math League in China • Intro of Committee Members • Comparison • 2012-2013 Math League in China • Online Learning System

18. Math League in China • Committee members • 裘宗沪老师, http://www.mathleague.cn/jointly/message.php • 陶晓永老师, http://www.mathleague.cn/jointly/message.php

19. Math League in China • Committee members • 熊斌老师：美国“数学大联盟杯赛”中国地区组委会副主任 • 中国数学会普及工作委员会副主任 • 中国数学奥林匹克委员会委员 • 华东师大国际数学奥林匹克研究中心主任 • 华东师范大学数学系教授 • 2008 – 现在 中国国家队领队 • 2008 - 2011年连续4年获得国际数学奥林匹克竞赛团体总分第一名 • 2012年：五金一铜，团体总分位列第二

20. Math League in China 陈平老师：中方命题组组长 • 1989年IMO（国际数学奥林匹克竞赛）国家集训队队长，2003年以来担任北京市集训队主教练，曾参与北京市及全国多项数学活动的命题和组织工作，多次带领北京队参加高中、初中、小学的各项数学竞赛，均取得优异成绩。

21. Table of Content • Math League in China • Intro of Committee Members • Comparison, http://www.mathleague.cn/jointly/notes.php • 2012-2013 Math League in China • Online Learning System

22. Table of Content • Math League in China • Intro of Committee Members • Comparison • 2012-2013 Math League in China • http://www.mathleague.cn/2013/preliminary/apply-login.php# • http://www.mathleague.cn/2013/preliminary/apply-login.php# • Online Learning System

23. Table of Content • Math League in China • Intro of Committee Members • Comparison • 2012-2013 Math League in China • Online Learning System, http://www.mathleague.cn/jointly/learning.php