Ivy League Education Center

Discrete mathematics is the branch of mathematics dealing with objects that can assume only distinct, separated values. Discrete means individual, separate, distinguishable implying discontinuous or not continuous, so integers are discrete in this sense even though they are countable in the sense that you can use them to count. The term “Discrete Mathematics” is therefore used in contrast with “Continuous Mathematics,” which is the branch of mathematics dealing with objects that can vary smoothly (and which includes, for example, calculus). Whereas discrete objects can often be characterized by integers, continuous objects require real numbers.

Almost all middle or junior high schools and high schools across the country closely follow a standard mathematics curriculum with a focus on “Continuous Mathematics.” The typical sequence includes:

Pre-Algebra Algebra 1 Geometry Algebra 2/Trigonometry Precalculus  Calculus Multivariable Calculus/Differential Equations

Discrete mathematics has not yet been considered a separate strand in middle and high school mathematics curricula. Discrete mathematics has never been included in middle and high school high-stakes standardized tests in the USA. The two major standardized college entrance tests: the SAT and ACT, do not cover discrete mathematics topics.

Discrete mathematics grew out of the mathematical sciences’ response to the need for a better understanding of the combinatorial bases of the mathematics used in the real world. It has become increasingly emphasized in the current educational climate due to following reasons:

Many problems in middle and high school math competitions focus on discrete math

Approximately 30-40% of questions in premier national middle and high school mathematics competitions, such as the AMC (American Mathematics Competitions), focus on discrete mathematics. More than half of the problems in the high level math contests, such as the AIME (American Invitational Mathematics Examination), are associated with discrete mathematics. Students not having enough knowledge and skills in discrete mathematics can’t do well on these competitions. Our AMC prep course curriculum always includes at least one-third of the studies in discrete mathematics, such as number theory, combinatorics, and graph theory, due to the significance of these topics in the AMC contests

Discrete Mathematics is the backbone of Computer Science

Discrete mathematics has become popular in recent decades because of its applications to computer science. Discrete mathematics is the mathematical language of computer science. Concepts and notations from discrete mathematics are useful in studying and describing objects and problems in all branches of computer science, such as computer algorithms, programming languages, cryptography, automated theorem proving, and software development. Conversely, computer implementations are tremendously significant in applying ideas from discrete mathematics to real-world applications, such as in operations research.

The set of objects studied in discrete mathematics can be finite or infinite. In real-world applications, the set of objects of interest are mainly finite, the study of which is often called finite mathematics. In some mathematics curricula, the term “finite mathematics” refers to courses that cover discrete mathematical concepts for business, while “discrete mathematics” courses emphasize discrete mathematical concepts for computer science majors.

Discrete math plays the significant role in big data analytics.

The Big Data era poses a critically difficult challenge and striking development opportunities: how to efficiently turn massively large data into valuable information and meaningful knowledge. Discrete mathematics produces a significant collection of powerful methods, including mathematical tools for understanding and managing very high-dimensional data, inference systems for drawing sound conclusions from large and noisy data sets, and algorithms for scaling computations up to very large sizes. Discrete mathematics is the mathematical language of data science, and as such, its importance has increased dramatically in recent decades.

IN SUMMARY, discrete mathematics is an exciting and appropriate vehicle for working toward and achieving the goal of educating informed citizens who are better able to function in our increasingly technological society; have better reasoning power and problem-solving skills; are aware of the importance of mathematics in our society; and are prepared for future careers which will require new and more sophisticated analytical and technical tools. It is an excellent tool for improving reasoning and problem-solving abilities.

We highly suggest that starting from the 6th grade, students should some effort into studying fundamental discrete math, especially  combinatorics, graph theory, discrete geometry, number theory, and discrete probability. Students, even possessing very little knowledge and skills in elementary arithmetic and algebra, can join our competitive mathematics classes to begin learning and studying discrete mathematics.

More articles about math competitions:

• Great Benefits of Math Competitions
• American Mathematics Contest 10 (AMC 10)
• A little competition can inspire math students to greater achievement
• Chief Instructor: Dr. Henry Wan
• Notable Achievements of Our Students
• AMC 8 Winners for the U.S. Ivy League Education Center
• 数学竞赛绝非神秘，每个学生都可参加！
• 女生更应参加数学竞赛

The AMC 10 is lauded as the oldest, largest and most prestigious math competition in the United States. The AMC 10 is part of the series of contests administered by the MAA American Mathematics Competitions that determines the United States team in the International Math Olympiad. The AMC 10 is for students in grades 10 and below. Two different versions of the contests are given on two different dates, the A and the B. Both the AMC 10A and the AMC 10B have the same number of questions, the same scoring and the same rules for administration. The only difference is that each has a distinct set of questions, although the two contests are designed to be equal in difficulty and distribution of topics.

The main purpose of the AMC 10 is to spur interest in mathematics and to develop talent through the excitement of solving challenging problems in a timed multiple-choice format. The problems range from the very easy to the extremely difficult. Students who participate in the AMC 10 should find that most of the problems are challenging but within their grasp. The contest is intended for everyone from the average student at a typical school who enjoys mathematics to the very best student at the most special school.

A special purpose of the AMC 10 is to help identify those few students with truly exceptional mathematics talent. Students who are among the very best deserve some indication of how they stand relative to other students in the country and around the world. The AMC 10 provides one such indication, and it is the first in a series of examinations (followed in the United States by the American Invitational Examination and the USA Mathematical Olympiad) that culminate in participation in the International Mathematical Olympiad, the most prestigious and difficult secondary mathematics examination in the world. In this way the very best young mathematicians are recognized, encouraged and developed. Another valuable comparison students can make is between their own level of achievement and their levels in previous years. In particular, they are encouraged to begin taking the contests early in their mathematics studies and to look back with pride each year on how they have learned to answer questions that they could not have answered previously.

Format

The AMC 10 is a 25 question, 75 minute multiple choice test. Problems generally increase in difficulty as the exam progresses. Calculators were permitted; however, as of 2008, calculators are not allowed any more.

The AMC 10 is scored in a way that penalizes guesses. Correct answers are worth 6 points, incorrect questions are worth 0 points, and unanswered answers are worth 1.5 points, to give a total score out of 150 points. From 2002 to 2006, unanswered questions were awarded 2.5 points. In 2006 and 2007, unanswered questions were awarded 2 points. Students that score over 120 points or are in the top 2.5% of the AMC 10 contest are invited to take the AIME.

Curriculum

The AMC 10 tests mathematical problem solving with arithmetic, algebra, counting/combinatorics, geometry, number theory, and probability and other secondary school math topics. Problems are designed to be solved by students without any background in calculus or trigonometry.

 National Awards

• A Certificate of Distinction is given to all students who qualify to take the American Invitational Mathematics Examination.

• An AMC 10 Honor Roll of Distinction Pin is given to the top 1% of all participating students.

• An AMC 10 Certificate of Achievement is given to high scoring students who are in 8th grade or below.

More details can be found at: http://www.maa.org/math-competitions/amc-10

More articles about math competitions:

• Great Benefits of Math Competitions
• A little competition can inspire math students to greater achievement
• Chief Instructor: Dr. Henry Wan
• Notable Achievements of Our Students
• AMC 8 Winners for the U.S. Ivy League Education Center
• 数学竞赛绝非神秘，每个学生都可参加！
• 女生更应参加数学竞赛

Mathematics is increasingly important in our technological and scientific age. Taking enough mathematics in high school is the gateway to jobs and careers of all kinds, even those that are not explicitly mathematical, scientific, or technological.

The importance of mathematics competitions has been widely recognized for three reasons:

• they help develop imaginative capacity and thinking skills whose value far transcends mathematics;
• they constitute the most effective way of discovering and nurturing mathematical talent;
• they provide a means to combat the prevalent false image of mathematics held by high school students, as either a fearsomely difficult or a dull and uncreative subject.

Math Competitions are great opportunities for students who are looking to challenge themselves and advance in math.

Students with a passion for math learn and master advanced, brain-stretching, and awe-inspiring materials in Algebra, Geometry, Number Theory, and Combinatorics.

Our course is designed purposefully to help students master the AMC contests, and enrich them academically. In the classes, we will cover all concepts/topics that frequently occur on the AMC exams and teach efficient strategies required for contest-based problem solving. We will review questions drawn from previous years’ contests as well as a variety of carefully selected resources. Students will think and learn math skills outside the realm of their school classrooms. All math skills developed through these courses will be helpful not only for math competitions, but also for comprehensive exams such as PSAT, SAT, ACT, GMAT, GRE, or even college math classes.

Over the course of Math Olympiad preparation, students develop problem-solving abilities, critical thinking skills, and logical reasoning through problem solving sessions, practices, and competitions.

In an increasingly competitive college application pool, the process of mastering math skills through our courses and participating in the American Math Competitions will help students strengthen and diversify their extracurricular activities. These contests can motivate students’ interest and passion in math, and they can discover their talent through solving challenging problems different from those in the school classes. Many top colleges also request AMC scores as part of the college application process. Both MIT and Caltech have entry blanks on their official admission application forms for the applicant to enter their best AMC and AIME scores. Ivy League Colleges and Stanford ask for to the AMC and AIME scores in their Supplement to the Common Application Forms. Your children deserve the chance to list these scores on their applications! Good AMC scores will greatly enhance admission opportunities for students to elite colleges.

As a typical example, every year MIT admits about 1,400 freshmen. Out of these 1,400 students, almost 1,200 students have AMC 10 scores greater than 120. However, out of these 1,400 students there are only 2-4 students who are nationally ranked piano players. Likewise, there are only 2-4 nationally ranked swimmers. It is much easier to achieve distinguished math awards and get into MIT than to rank highly in swimming and get into MIT.

In fact, a high score on the AMC 10 is a golden ticket into MIT, especially for girls. Why? Because in terms of extracurricular activities, prestigious colleges such as MIT and Caltech value math much more than anything else. This just reveals the critical importance of mathematics in the competitive academic environment. Students will benefit much more from participating in competitive math than participating in sports, arts, and music programs. 

It is much easier to math to than to swim to the MIT!

“Mathematics is a verb! In Ute we do not have just one word to describe mathematics—rather, we name it as we use it. When we count, build, design, cook, hunt, or fish, we are doing mathematics.” — Fabian Jenks, a Northern Ute elder

More articles about math competitions:

• A little competition can inspire math students to greater achievement
• Chief Instructor: Dr. Henry Wan
• Notable Achievements of Our Students
• AMC 8 Winners for the U.S. Ivy League Education Center
• 数学竞赛绝非神秘，每个学生都可参加！
• 女生更应参加数学竞赛

Math competitions offer a challenging opportunity to test your mathematical mettle and hone your problem-solving skills.

Why do math competitions?

• Solving Math Competitions problems is one of the best methods to learn and understand school mathematics.
• Do it for the challenge and the fun.
• Engage in a different kind of thinking than homework problems — much more akin to higher mathematics.
• Do math in a collaborative group setting.
• Do it for the teamwork and camaraderie.
• Do it, perhaps most importantly, because the way of thinking and the problem-solving skills you pick up will make understanding more advanced mathematical ideas that much easier.

                数学是个广阔的天地，在这里是大有作为的！

                读数得间，知数达理，数通八达，数海升平！

数中自有黄金屋，数中自有颜如玉，数中自有高富帅！

Henry博士

            大量女生家长询问我们：女生能不能参加数学竞赛？我们的回答是：女生当然能，并且更应该参加数学竞赛，女生参加数学竞赛比男生获得的好处更多更大。好处可以分为二种：一是间接的“抽象”好处，另一是直接的具体好处。

一. 女生参加数学竞赛的间接好处

众所周知，数学是一切科学和技术之母——只有拥有牢固而扎实的数学基本功才能在其它领域有所作为。数学在人生教育方面也有着极其重要的作用，亦即培养人的理智思维，这是数学对人类社会的另一个重大贡献。世界上做一切事情都需要理智思维，万物皆数，所以数学是做一切事情的基础。女生通过学习数学、参加数学竞赛培训班和正式的数学竞赛，可以极大地培养她们的理智思维，增强了她们的抽象思维能力、逻辑思维能力、运算能力、几何直观能力、空间想象能力和数学语言表达能力。经过这样的培养，女生遇到问题时，更侧重于找原因、找出路、找解决办法，而不是一味的抒发情感。另外，大量事实证明，数学好的学生，尤其是数学好的女生，在中学乃至大学中的学业一般都会处于领先位置，而这与早期理智思维能力的开发是密不可分的。

二. 女生参加数学竞赛的直接好处

自然界的奥秘是用数学语言写成的，数学是理解天地间万物乃至人情世故的工具和基础。数学是一切自然科学的基础，同时数学中的运筹学、概率论、统计学、对策（博弈）论、控制论、微分方程、计算数学、数学模型、数据采矿、信息数学、生物数学、经济数学、金融数学、工程数学等应用数学分支，为技术科学、环境科学、信息科学、社会科学、经济科学、管理科学等其它学科领域提供了无穷的智力源泉和强大的分析工具。学好数学，尤其是女生学好数学，可谓好处多多、 一本万利。

1. 数学好的女生机会多

美国科学、技术、工程、数学界（Science, Technology, Engineering, and Mathematics — STEM）男女比例严重失衡，“女性在哪里？”的呼喊声从华尔街蔓延到政坛甚至更远，但STEM领域的女性缺乏问题尤其严重。对于人才的高要求阻碍了女性的发展，这一点比过去的性别障碍、种族障碍、阶级障碍等都要更为严重。尽管现在设有很多奖项，目的在于鼓励科技界的女性出人头地，但根据美国国家女性和信息技术中心的资料显示，2014年尽管57%的大学毕业生是女性，但获得STEM领域方面学士学位的女性获得者还不到全部毕业生总人数的14%。最新的统计数据表明：仅有0.3%的高中女生去攻读计算机科学和信息科学学士学位课程。STEM的核心是数学，女生只有学好了数学才能真正在STEM领域大显身手、大有作为！世界上“人以稀为贵”，只要女生掌握了数学这个“核武器”，在申请STEM方面的奖学金或者到STEM相关的公司或机构求职，在性别一栏填上“女”，有女皆成阴丽华，立刻成了“香饽饽”，这代表你已经有机会领先其他男的竞争对手了，因为你和他们不一样。人们会希望多样化，希望出现新鲜事物。以全美薪酬和福利最好的公司Google为例，其女性员工仅占全体员工总数的30%，男女比例严重失调，Google近年来积极培养女工程师，目前提供多项专门针对女性的高额奖学金，积极培育人才，并经常举办锁定女性的招聘活动。

2. 数学好的女生收入高

女生学好了数学，就可轻而易举地进入STEM领域工作。美国国家劳动部的统计数据表明：女性在STEM领域工作的收入比在其它领域高出33％；相比其它领域，在STEM领域男女之间的工资差距最小。所以，学好数学进入STEM领域工作是女生获得高收入、实现男女同工同酬的最佳途径。“君子爱财，取之有道。”这个道就是数学之道，数学是君子，尤其是女君子，通向财富的康庄黄金大道。

3. 女生学数学有特殊优势

女生的天性就是比男生更能坐得住，更认真、细致、缜密，更有毅力。女生贵在能够沉下心来，记忆力好，尤其在条理性、规范性、准确率方面女生高过男生，在训练提高数学思考能力过程中女生的细心与耐心更是得天独厚。事实上，数学可分两大部分：一部分偏重于数字与计算，另一部分则偏重于语言与逻辑，两者都非常重要，而女生在语言与逻辑方面的都具有明显优势。我们的教育实验发现，逻辑证明和逻辑法则运用方面的能力女生优于男生。

现在的数学竞赛题大多是文字描述题，以美国数学竞赛AMC8和AMC10为例，80%的题目属于文字应用题，另20%属于文字描述题，没有一道题目是不涉及文字的“纯数学”题，所以，解数学竞赛题首先必须快速、准确地阅读理解题目中的文字意思，然后再将其翻译成数学语言，建立方程式、代数表达式、数字表达式、图表或者几何图形，再利用数学公式、工具和方法等一步一步进行求解，最后得出答案。在对这样的数学题目的阅读理解和翻译成数学语言方面，女生远超男生。

女生根本无须妄自菲薄、自惭形秽，应该女儿当自强，巾帼不让须眉。天道酬勤，女生只要不懈努力，完全可以在数学上和男生并架其驱乃至更胜一等。

4. 有专门为女生设立的全国性数学竞赛

美国为女生专门设立了全国性的数学竞赛Math Prize for Girls, 这是当今世界上奖金数额最大的数学竞赛，旨在于促进数学领域内的性别平等，强调数学对美国国家未来的重要性，识别有才华、杰出的女生，激励具有卓越潜力的年轻女性成为明日的数学和科学领袖。每年通过参加2月份的美国数学协会（MAA）举行的“美国数学竞赛”AMC10和AMC12的女生的竞赛成绩，选拔美国加拿大最优秀的300名高中女生（还包括一些6-8年级的杰出女生）参加竞赛，竞赛时间为9月份，地点在MIT。今年的数学竞赛为第7届，定于9月27日星期六在MIT举行。竞赛共有20道题目，在150分钟内完成，颇具挑战性，但其内容不偏离超出标准的高中数学课程，竞赛题目不涉及任何微积分的知识。基于竞赛题目考试结果，挑选出获奖者，并在比赛当天公布。对于前十名给予高额奖金，奖金数额为：第1名：$ 31,000，第2名：$ 10,000，第3名：$ 5,000，第4名：$ 2,000，第5-10名： 每人$ 1,000。Math Prize for Girls设立了奖金额为$1000的“青年奖”(Youth Prize)，用以奖励在竞赛中的9年级以及9年级以下的最佳表现者。此外，对于第11至第25名（包括并列）均颁发荣誉奖奖杯（Honorable Mention），并给予$500的merit scholarship参加Canada/USA MathCamp 暑期项目。所有前26名获奖者将晋级参加同年11月份举行的Math Prize for Girls Olympiad，这是竞赛的题目都为证明数学定理。

参加Math Prize for Girls的分数线等同于进入AIME (American Invitational Mathematics Examination)的条件，亦即：AMC10竞赛中的top 2.5%的学生，通常为120分以上（满分150）；或者AMC12竞赛中的top 5%的学生，通常达到100分以上（满分150）。分数线每年根据题目的难易程度，略有变动，详情见：AMC 10/12 Historical Results. 由此可见， 门槛并不高，我们有些5年级的学生都达标去出席Math Prize for Girls竞赛。但是一旦成为Math Prize for Girls的参赛者，登堂入室，丑小鸭变成了白天鹅，立刻身价百倍，高人一筹，成了名校竞相网罗的对象，并且形形式式的奖学金接踵而至、源源不断。

5. 顶级名校为女生设有绿色通道

顶级名校为那些数学成绩优异和数学竞赛优胜的女生设有绿色通道，例如：MIT每年9月趁美国为举办Math Prize for Girls之机，担任其Dean of Admissions的Stuart Schmill先生都要亲自出马宴请参赛的300名女生，带领她们参观MIT的最尖端先进的实验室，对她们抛出绣球，开出种种优惠条件吸引她们。首先诱之以“神” — 女生一旦进入MIT，立刻变成众星捧月般的“女神”，集三千宠爱在一身。其次是动之以“情” — 强调在MIT这样一个男生远远多于女生的的环境里，遍地是“金龟婿”，到处是“高富帅”，女生犹如国宝，备受追捧，女生很容易“情”开得胜，找出如意郎君，Schmill先生还吐露了一个“秘密”：因为MIT自己的女生资源严重短缺，供不应求，MIT的很多男生情非得已，只能到邻近的Wellesley 女子学院去追女生；晓之以“理” — 鼓吹选择理工科对女生带来的巨大利益，选择麻省理工就是选择未来、选择财富、选择幸福，极尽能事欲将“天下女英雄尽入吾彀中矣”。Schmill先生亲口告诉我：“参加Math Prize for Girls，就是拿到了进入MIT的Golden Ticket”。我作为教练指导的一个女生就是因为在2013年9月在MIT的Math Prize for Girls数学竞赛中获得第14名而被MIT“拉下水”，轻而易举地被MIT提前录取。我的女儿2013年9月作为9年级新生去MIT参加Math Prize for Girls数学竞赛，她天资平平、初出茅庐、乳臭未干，竟然也受到MIT的青睐，被提前锁定，这都是因为她是女生而占光，因为数学而脱颖而出与MIT结缘，女生加上数学使我女儿如鱼得水、事半功倍。我女儿的很多男同学数学水平和她相当甚至远超过她，却因为是男生而无此良机，有志男生变成了“有志难伸”，对MIT只能望洋兴叹。我作为教练指导的另一个10年级女生在2014年9月在MIT的Math Prize for Girls数学竞赛中获得第10名，荣获MIT提前颁发入学的Golden Ticket。

三. 女生参加数学竞赛的最佳捷径

女生参加数学竞赛最好在4年级开始起步，5年级参加美国数学竞赛AMC8，这是美国数学协会（MAA）为6-8年级的中学生设计的久负盛名的数学竞赛，6年级以下的学生亦可参加；6年级参加AMC8力争获得满分25，即做对全部25个题目；7年级参加美国数学竞赛AMC10，这是美国数学协会专门为10 年级以及10年级以下的学生设计的数学竞赛，并获得90分以上（满分150）；8年级参加AMC10获得120分以上（满分150），进而参加AIME（美国数学邀请赛 )；9年级一开学就参加Math Prize for Girls练兵，积累宝贵经验；10年级参加Math Prize for Girls继续练兵，进入前50名；11年级参加Math Prize for Girls再接再厉，进入前30名；12年级参加Math Prize for Girls进行最后的冲刺，进入前20名。有了Math Prize for Girls数学竞赛成绩和数学这块敲门砖，敲进常春藤大学和顶级名校（像哈佛、耶鲁、普林斯顿、MIT、斯坦福）易如反掌，稳操胜算。

上述程序就是我们为女生参加数学竞赛设计的最佳途径，多年来我们用这样的方法为几个具有中等资质的女生量身定做进行个性化的精心设计，对症下药，有的放矢，提供全方位的优质培训，最终送进了MIT、哈佛、斯坦福等超一流名校，为她们的人生提供了广阔无垠绚丽多彩的舞台。

四. 我们的数学培训中心和俱乐部

我们于2011年初创立了Mathisfun训练中心和常青藤教育中心（Ivy League Education Center），提供after-school and weekend school enrichment programs给那些喜爱学术挑战的小学、初中和高中学生。我们利用小型课堂教学模式，提供private (1对1)、semi-private (1对2或1对3) 和group (4-10个学生的小组) 三种类型的课程。我们在下列四大方面拥有长期而丰富的培训经验和激励学生获得成功的良策：

1. 标准化考试辅导培训：例如PSAT/SAT/ACT/AP/GRE考试，私立初高中学校入学考试SSAT/ISEE，本地公立学校的G&T班和Magnet项目的入学考试，约翰•霍普金斯大学(JHU) CTY的Talent Search（天才少年搜寻项目）的School and College Ability Test (SCAT)。对于SAT以及SAT Subject Tests培训，我们是大华府地区唯一一家获得College Board批准，使用他们的SAT真题进行模拟考试和培训学生的机构，这是我们的独特而巨大的优势。
2. K-12数学及英文课程辅导补习：按照年龄和年级分班，与Montgomery County Public Schools的教学内容无缝对接、进度完全合拍，辅导学生作业，确保学生认真完成所有作业、巩固所学知识，作为补习的副产品 —— 学生的学校功课得“A” 。例如，针对数学，我们精心设计了Mathematics Enrichment Program (Pre-algebra –> Algebra I –> Geometry –> Algebra II –> Trigonometry and Precalculus –> AP Calculus), 帮助学生catch up, keep up, and get ahead in math.
3. K-12数学及英文扩展提高项目（Extension and Promotion Program）：数学主要围绕Discrete Math开设系列课程Logic –> Set theory –> Number theory –> Combinatorics –> Probability –> Graph theory –> Discrete geometry；英文集中在Critical reading, Grammar, Vocabulary和Writing四方面开展教学，最终与SAT考试对接。所有这些都是非常重要的科目，但是现在学校课程中没有的。
4. 数学竞赛辅导与训练：针对小学、中学和高中三个级别多层次的数学竞赛培训，包括美国数学协会的AMC8/AMC10/AMC12/AIME/USAMO, MathCounts, ARML, MOEMS, USAMTS, Mathematical Kangaroo, Math League，以及Math Prize for Girls, Harvard-MIT Mathematics Tournament (HMMT), High School Mathematical Contest in Modeling (HiMCM), Princeton University Mathematics Competition (PUMaC), Johns Hopkins University High School Math Tournament, The University of Maryland High School Mathematics Competition, The Eastern Shore High School Mathematics Competition, The Newton Mathematics Competition, George Washington University Math Competition等等。

本人拥有美国数学协会资深高级数学教练执照证书，是大华府地区唯一拥有自己独立的数学培训俱乐部和基地、并且自己亲自执教的数学专家，长年开办小学、中学、高中三个类别多个层次的数学竞赛训练班，负有为AMC培训和推荐优秀数学人才之责，并且我拥有美国数学协会AMC授予的、为我的学生免费注册参加AMC8、AMC10和AMC12竞赛的特权。

我们近年培养的参加美国数学竞赛AMC 8的学生大多获得满分25，有37名学生参加AMC 10/12的数学竞赛过线，成为美国高中数学奥林匹克竞赛国家队的选拔对象，其中3名学生在USAMO (United States of America Mathematical Olympiad) 中优胜获得参加夏季国家队（MOSP）训练资格。多名学生因为数学竞赛成绩优异而被MIT和哈佛大学提前录取。

在2015年的AMC10A竞赛中，我们有14个学生过线被邀请参加AIME数学竞赛。其中Chenyu S.获得132分的佳绩，7年级学生Kim S. 获得120分的佳绩，今年的AMC10A题目非常难，获邀参加AIME的过线标准为106.5分，他们取得如此好的成绩实属不易。

在2014年2月的AMC10竞赛中，9年级学生Serina H.赢得141分的优异成绩。Alex C.和Eva Q.二人均为不到12岁的6年级学生，都进入美国数学竞赛AMC10的top 1%，被美国数学协会授予杰出成就金质证书（GOLD Certificate for Outstanding Achievement），其中Alex C.获得全美国6年级考生最高分。在2014年3月的美国高中数学邀请赛（AIME）他获得全美国6年级考生最高分，并获得了参加20014年的美国中学生奥林匹克数学选拔赛的资格，全美国一共只有二名6年级学生获此资格。Serina H.在2014年9月的Math Prize for Girls这一全美最顶级的高中女生数学竞赛中成功进入前10名，被授予优质奖章和1000美元奖金。

Yu Xuan (Wendy) H.作为12年级学生，在2013 年度Math Prize for Girls这一全美最顶级的高中女生数学竞赛中荣获第14名，被授予荣誉奖，并于2013年12月被MIT提前录取。 Sophia W. 作为8年级学生在2013年AMC 10中进入全国前1%，后又在2013 Math Prize for Girls中获得全美国8年级考生最高分。Kundan C. 作为9年级学生，在2013年美国数学竞赛AMC 10中荣获141的高分（满分150分），成为全美国9年级考生最高分。

这些学生小小年纪就取得如此骄人的非凡成绩，真乃自古英雄出少年，十分难能可贵，我们深深感受到“得天下英才而教育之”的无穷乐趣和不尽喜悦！由衷地为他们点赞！

我们坚持实施孔子“有教无类、因材施教”的教育法则，竭尽全力帮助学生参加各种数学竞赛，例如国际奥林匹克数学竞赛和美国国家队选拔赛系列 (AMC 8/10/12, AIME, USAMO, 和IMO), Math Prize for Girls等等，针对这些数学竞赛在以往的所有题目进行系统剖析，提炼出有代表性地的题型，对学生传授强有力的有效的解题策略。学生将思考和学习超越于他们学校数学课程之外的数学知识和技能，重点在于加深对数学概念的理解，拓宽视野，开阔思路，建立坚实的数学基础，让学生发现数学的趣味性，享受“数感”，提高分析问题和解决问题的技巧和能力，发展批判性和创造性思维，使学生能够从容自信地面对学业上的挑战，实现进入顶级名校深造的梦想，对学生今后事业上的成功大有裨益，使学生终身受用。

五. 春季数学竞赛训练班

我们常年开办小学、中学、高中三个类别多个层次的春季数学竞赛训练班，无论学生数学水平处于何种层次，她们通过参加我们的训练班，进而参与数学竞赛，一定会发现数学别有洞天，引人入胜；深切感受到数学之美，乐在其中！我们尤其欢迎女生参加我们的数学竞赛训练班，女生能顶半边天，谁说女生不如男，巾帼不让须眉！在数学这个充满生机和乐趣的广阔天地里，女生是大有作为的！热忱欢迎来电咨询Henry 博士。Email为：chiefmathtutor@gmail.com，电话为：(301) 922-9508.

投资孩子的教育是投资他们的未来，投资孩子的教育胜过其它任何的投资！

                数学是个广阔的天地，在这里是大有作为的！

                读数得间，知数达理，数通八达，数海升平！

数中自有黄金屋，数中自有颜如玉，数中自有高富帅！

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