加拿大 美国的数学竞赛(ZT)

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加拿大公开数学挑战赛

加拿大公开数学挑战赛Canadian Open Mathematics Challenge (COMC):一般在每年的11月份举行。学生在这个竞赛里获得高分可以得到邀请去参加一些更高级别的竞赛，比如加拿大数学奥林匹克（CMO）,亚太数学奥林匹克（APMO）,美国数学奥林匹克（USAMO）和国际数学奥林匹克（IMO）。

11月COMC活动可以提高学生的学习兴趣，激发他们的”斗志”。一旦他们能主动地学习，那就什么困难都不在话下。其次，竞赛对学生没有压力；因为考不好没关系，而考好了就有关系：它对你进入好的大学，好的高中都有帮助。第三，有的竞赛(如COMC, IMC等)还直接发奖金给优胜者。也会有单位邀请你去参加夏令营。

此项竞赛有两个目的：(1) 为秋季学期提供一项数学课外活动，对那些想丰富自己数学知识的学生大有帮助。 (2) 为加拿大数学奥林匹克（ＣＭＯ）选拔人才。此外，有的问题是对十年级数学课程的检验。

谁能参加这个竞赛？　（１）１９岁以下；（２）加拿大公民或永久居民，并在公／私立中学注册；（３）未在大学注册；（４）未参加过ＰＵＴＮＡＭ数学竞赛。

评奖：（１）大约５０名优胜者会被邀请参加ＣＭＯ；（２）每个省或地区的第一名会获得一块匾，他／她所在的学校也会获得一块匾；（３）每个省或地区的前九名获得金牌，（４）前２５％获得证书。

考试时间为２．５小时，满分４０分。Ａ部分８道题，每题５分；解答过程部分正确也可得一些分。Ｂ部分４道题，每题１０分；即使答案正确但表述不清，也会被扣分。考试中不得使用计算器。考试内容大致如下：（１）ＥＵＣＬＩＤ几何，（２）解析几何，（３）三角学，（４）函数，（５）方程组，（６）多项式，（７）数列与求和，（８）计数，（９）初等数论。

如何准备竞赛？你可以去ＷＷＷ．ＣＥＭＣ．ＵＷＡＴＥＲＬＯＯ．ＣＡ找以前的考题做.有的较难，比如游戏题, 它要求你会把游戏问题数学化，知道如何找序列的规律，如何把特例推广到一般情况。如果没有接触过这种问题，是很难在两个小时内给出必胜的策略来。另外还要明白已考过的题近期内是不会重复的；再次，问题是永远做不完的，关键在于掌握解题方法与技巧；而任何解题方法与技巧又代替不了ＩＮＧＥＮＵＩＴＹ（独创性）和ＩＮＳＩＧＨＴ（洞察力）。事实上，竞赛的目的也正是为了培养这两种能力。

相关网站：http://cemc.math.uwaterloo.ca/

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加拿大全国性的数学竞赛

加拿大全国性的数学竞赛(CMC)是由waterloo大学举办的.从Grade 7 到Grade 12, 每个年级每年一次; 低年级学生可以参加高年级的竞赛, 但高年级学生不能参加低年级的竞赛. 各年级的竞赛时间及名称都不一样: Grade 7-8的竞赛叫GAUSS CONTEST, 每年5月中旬举行; Grade 9的 叫PASCAL CONTEST, Grade 10的叫CAYLEY CONTEST, GRADE 11的叫FERMAT CONTEST, 每年2月中旬举行. 以上竞赛为25道多项选择题, 限时一个小时.

从2003年开始,CMC又为9至11年级学生增设了一种要写过程的数学竞赛: FRYER CONTEST (GRADE 9), GALOIS CONTEST (GRADE 10)和HYPATIA CONTEST (GRADE 11), 每年4月中旬举行; 4道题，两个半小时. 既要写过程, 你就不能像多项选择题那样去 “猜”答案了; 而且对你的写作和表达能力也是一个很好的检验. 其中, 游戏题是最让人头疼的，它要求你会把游戏数学化，知道如何找序列的规律, 如何把特例推广到一般情况. 如果没有接触过这种问题，是很难在两个小时内给出必胜的策略来.　

PASCAL竞赛是为九年级及以下的学生举办的, CAYLEY竞赛的参赛队象是十年级及以下的学生, 而FERMAT竞赛则是针对十一年级及以下的学生. 这些竞赛的目的是为学生们提高数学解题能力. 竞赛不是考试, 没有PASS或FAIL之说. 所有竞赛都是这是这样的: 考不好没关系, 考好了就大有关系荣誉自不必说,更重要的是你有了自信.

竞赛内容为25道多项选择题, 分为A(10道), B(10道), C(5道)三部分. 问题由易到难, 前两部分不超出各省的教学大纲, PART C 考灵活性和技巧性. 竞赛不注重内容, 重在逻辑思维和数学解题方法. 每项竞赛满分150分, 限时一个小时. 每人每年只能参加一项(都在同一天举行).

获奖: 全国前五名获得金牌; 前25%获得证书; 各校的第一名获得奖牌. 对于CAYLEY竞赛和 FERMAT 竞赛的成绩优异者会被邀请到WATERLOO大学参加六月的竞赛培训班. 对于FERMAT 竞赛的各省第一名, 可获得$200的奖金.

此外还有: COMC(加拿大公开挑战赛），IMC(数学邀请赛），每年10-11月份举行; 美国数学竞赛(AMC)，成绩好的还可应邀参加美国数学邀请赛(AIME)．这些竞赛中产生的佼佼者，还可应邀参加数学夏令营，经选拔代表加拿大参加国际奥林匹克竞赛(IMO)．

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Euclid Contest等12年级数学竞赛

对12年级学生，有多种竞赛可以参加：EUCLID CONTEST (10道题) 和 DESCARTES CONTEST(3部分，16道题), 每年4月中旬举行, 两个半小时，大题下还有小题. 这些竞赛都要写过程.

Euclid Contest:这个比赛是在4月举行的，由加拿大滑铁卢大学举办。这个竞赛有助于获得该校的入学奖学金。
相关网站：http://cemc.math.uwaterloo.ca/

加拿大数学奥林匹克竞赛

加拿大数学奥林匹克Canadian Mathematics Olympiad (CMO):在3月举行，只有在COMC竞赛中成绩突出并收到邀请函的才可参加。USAMO会根据这个比赛的成绩发出邀请。
相关网站：http://www.cms.math.ca/Competitions/CMO/

魁省数学竞赛
Concours de l'Association Mathématique du Québec (AMQ):这个比赛是2月举行的，专门针对魁省CEGEP学生。成功的候选人被邀请到Laval大学举办的数学夏令营。
相关网站：http://newton.mat.ulaval.ca/amq/ConcoursCollegiaux.html

亚太数学奥林匹克竞赛
亚太数学奥林匹克Asia Pacific Mathematics Olympiad (APMO):在3月举行，只有在COMC竞赛中成绩突出并收到邀请函的才可参加。USAMO会根据这个比赛的成绩发出邀请。
相关网站：http://www.cms.math.ca/Competitions/APMO/

美国数学比赛
美国数学比赛American Mathematics Contest (AMC12):这个比赛是2月举行的。成功的候选人可能会收到一些奖品，包括别针，图形计算器，数学软件和订购的科学杂志。这是AIME竞赛的预选赛。
相关网站：http://www.unl.edu/amc/e-exams/e6-amc12/amc12.shtml

美国数学邀请赛
美国数学邀请赛American Invitational Mathematics Examination (AIME):在3月举行，只有在AMC12竞赛中成绩突出并收到邀请函的才可参加。USAMO会根据这个比赛的成绩发出邀请。
相关网站：http://www.unl.edu/amc/e-exams/e7-aime/aime.shtml

美国数学奥林匹克竞赛
美国数学奥林匹克USA Mathematics Olympiad (USAMO): 4月举行，是9个小时的超长比赛（每天4个半小时，分为2天进行）。只有在AMC12，AIME，COMC，CMO，APMO竞赛中成绩突出并受到邀请函的才可参加。这个是IMO的预选赛。
相关网站：http://www.unl.edu/amc/e-exams/e8-usamo/usamo.shtml

国际数学奥林匹克竞赛
国际数学奥林匹克International Mathematics Olympiad (IMO):只有收到邀请的才能参加这个竞赛，这是一个国际上的数学竞赛。当收到邀请函后，被邀请的学生将会被送到国家队并接受连续几周的训练，之后会被送到要举行竞赛的国家进行参赛。2010年第42界国际数学奥林匹克将于7月2-14日在卡撒克斯坦举行。
相关网站：http://www.cms.math.ca/Competitions/IMO/

IMO

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American Scholarstic Mathematics Association(JR)
为低年级的个人荣誉，学校团体还分为1、2、3等奖。具体内容如下：
[size=+2]American Scholastic Mathematics Association
[size=+2]Annual Mathematics Contest for Junior, Intermediate and Senior High Schools


*NOTE SPECIAL OFFER AT END OF LETTER*
*Please see the list of Associated Schools at the end of this page*
Dear Mathematics Department Chairperson:
How do your most intuitive mathematics students compare to other math students throughout the country? Do you have a mathematics research class and do you enter the students' work in talent searches? Do the students compete in math leagues against other high schools, junior high or intermediate schools in your city? If you have a math team, or would like to start one, where would your faculty adviser get the many challenging and intriguing mathematics questions needed to sustain interest in such an advanced program?
Our mathematics ENRICHMENT service, in the form of a contest, provides your students with an opportunity to COMPETE NATIONALLY with other high ability students across the country.
Our panel of creative mathematicians who design each contest are educators in junior, intermediate, high schools and colleges, and are themselves faculty advisers for math research clubs or math teams. This ensures the production of contests and questions that are at once challenging and sensitive to the level of ability of contemporary secondary school students.
CONTEST DESIGN
In the Fall school term, each associated school will receive the same package of six sealed sets of questions similar to the samples on page 3. On given dates each month, the packages are opened and the test is administered to your designated group of math students. The adviser then scores each paper according to an enclosed answer sheet and mails the results of the 8 (eight) highest scoring students. The scores are then tabulated and the national results are mailed back within a short time.
Each contest examination set consists of seven questions, as per the sample. Please note that this is ONE MORE question than most other contests of this type and is the equivalent to ONE FULL EXTRA EXAMINATION in total number of questions for the contest year.
At the end of the sixth examination, the totals for all schools are compared and an AWARDS LISTING is sent to all schools with the appropriate AWARD CERTIFICATE for the school and another Award Certificate for the highest scoring student in each school. Please see page 4 for further information on the rules of the contest and awards presented.
The AWARD CERTIFICATE is beautifully designed and is usually framed and displayed prominently in the school. The top five percent of scoring schools will also receive an engraved wall plaque for their schools.
We hope that you and your school administration encourage your student mathematicians to enter your school in our annual AMERICAN SCHOLASTIC MATHEMATICS CONTEST. In these days of declining Scholastic Aptitude Test scores, it becomes increasingly important for mathematics students to receive extra-curricular enrichment to help sharpen their mathematics skills. Our philosophy is that this competition is more of an educational and achievement experience than a very difficult contest and the mathematical questions will generally reflect that position.
Many schools choose to use the contest material for in-school use only and do not report the contest results, which is also your option.
This past school year mathematics contest involved schools in the United States, Canada, and American International and Private Schools in China, Hong Kong, Saudi Arabia, United Kingdom, Israel, United Arab Emirates, Marianas Island, South Korea, Australia, Cambodia, Brazil, Turkey and Guam.  A partial listing of these schools is available at the end of this letter.
SUGGESTED DEADLINE FOR ENTRY into the AMERICAN SCHOLASTIC MATHEMATICS CONTEST for the 2009-2010 school year is JULY 1. If you cannot meet this deadline, please indicate, on the form below, the approximate date by which the entry fee will be sent.
Thank you for your time. You and your faculty are to be commended for your concern for the continuous improvement of the mathematics development of your most gifted students.
Sincerely,
Dr. Richard M. Plass, Ed.D.
Chairman, ASMA
email: plassr@netzero.com  or  plassr@asan.com

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