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 Table of Content 1. Math League in North America & The World a) b) c) 2. Examples of Math League Influence and Significance History Stanford Math League Summer Tournament Math League in China a) b) c) d) Intro of Committee Members Comparison 2012-2013 Math League in China Online Learning System Math League in North America & The World 1. Examples of Math League Influence and Significance a) US Best High Schools Rankings a) b) b) Harvard Twins Sisters a) c) http://www.usnews.com/education/best-highschools/national-rankings/spp+100 http://www.mathleague.cn/jointly/consequence.php http://www.mathleague.cn/jointly/consequence.php# US newspaper coverage a) http://www.mathleague.cn/2012/finals/newspaper.ph p Math League History 1. 2. 3. 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。 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。 Stanford Math League Summer Tournament Intro 2011-2012 Stanford Math League Summer Tournament 1. 2. a) b) c) d) e) f) Schedule Finals Lectures Activities Counselors Pictures Stanford Math League Summer Tournament 1. 2. 3. 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 Stanford Math League Summer Tournament Intro 2011-2012 Stanford Math League Summer Tournament 1. 2. a) b) c) Schedule (Excel file) Finals, http://www.mathleague.cn/2012/finals/summarize/2012students.php Lectures a) b) c) d) e) f) 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 Stanford Math League Summer Tournament 1. Lectures a) 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 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: 1. 1. 2. 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. Fermat’s Last Theorem 1. 2. 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. Fermat’s Last Theorem 1. 2. 3. 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. Stanford Math League Summer Tournament 1. Ravi Vakil, http://www.mathleague.cn/2012/finals/p rofessor/professor3.php Stanford Math League Summer Tournament 1. 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. Stanford Math League Summer Tournament Professor John Edmark, Department of Art and Art History Recursion, golden ratio, Fibonacci numbers, fractal Stanford Math League Summer Tournament Professor Rick Sommer and Professor Rafe Mazzeo, founders of SPCS and SUMaC at Stanford. Table of Content 2. Math League in China a) b) c) d) Intro of Committee Members Comparison 2012-2013 Math League in China Online Learning System 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 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 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。 Table of Content 2. Math League in China a) b) c) d) Intro of Committee Members Comparison, http://www.mathleague.cn/jointly/notes.php 2012-2013 Math League in China Online Learning System Table of Content 2. Math League in China a) b) c) Intro of Committee Members Comparison 2012-2013 Math League in China a) b) d) http://www.mathleague.cn/2013/preliminary/applylogin.php# http://www.mathleague.cn/2013/preliminary/applylogin.php# Online Learning System Table of Content 2. Math League in China a) b) c) d) Intro of Committee Members Comparison 2012-2013 Math League in China Online Learning System, http://www.mathleague.cn/jointly/learning.php