Ivy League Education Center

基于SAT真题的模拟考试为学生赢得SAT高分保驾护航

Posted on 2015-04-05 | 4 comments

众所周知，学生一旦进入高中阶段，其所有SAT的考试成绩都将留底存档，很多一流大学都需要学生送交全部SAT考试成绩，例如耶鲁大学和斯坦福大学，所以SAT考试应该“少而高”，即考的次数要尽可能少，考试分数要尽量高。以哈佛大学为例，哈佛近三年新招学生的SAT分数主要集中在区间：2070-2350，平均分数为2289，其中91%的学生仅仅考了一次，8%考了二次，1%考了三次，没有人超过三次。由此可见，高中学生考SAT的次数不宜多，务必谨慎从事，切忌轻举忘动，更不可临阵磨枪、仓促上阵，以免大意失荆州、一失足成千古恨。

如何才能在SAT考试中“少而高”呢？怎样在参加正式的SAT考试以前准确评估学生真正的SAT分数从而做到心中有数呢？最好的办法就是参加模拟考试，并且为了真实准确，一定要采用College Board的SAT真题，亦即：真正的SAT考题。我们每月都举行一次SAT Mock Test，一律使用SAT真题作为test packet。我们通过与College Board的长期合作，获得了从2005年3月SAT改版以来的71套SAT真题，其中包括2013年1月至今年1月的16套真题，详情如Table 1 所示。我们开发了专门的软件工具，利用计算机对上述71套SAT真题进行系统性综合化的统计比对、聚类分析和数据挖掘（data mining）。我们发现SAT出题的一个普遍规律：这一年度的题目与上二个年度的题目有高度相关性，相关系数高达0.96。基于这一发现，我们在本年度就使用2013年1月至今年1月的16套真题作为Mock Test的题库。

Table 1: 我们从College Board获得的最新的16套SAT真题

序数	真题的年月份	真题的Form Codes
1	Jan. 2013	AEJA, BWJA
2	Jan. 2013 International	AEWZ, BWWZ
3	May 2013	AEJC, BWJC
4	May 2013 Sunday	JUFH
5	May 2013 International	MFDC
6	Oct. 2013	AEJE, BWJE
7	Oct. 2013 International	AEWV, BWWV
8	Jan. 2014	AEKA, BWKA
9	Jan. 2014 International	AEXZ, BWXZ
10	May 2014	AEKC, BWKC, CFKC
11	May International	AEXX, BWXX, CFXX
12	May 2014 Sunday	HUIB
13	June 2014	NFCZ
14	Oct. 2014	AEKE, BWKE
15	Oct. 2014	AEXV, BWXV
16	Jan. 2015	DEJM, EWJM

我们轮流从Table 1中所示的最新的16套真题中选一套作为Mock Test的考题，考场环境严格按照College Board的规定而设计，考试流程和每个section的时间限定以及中间的三次休息时间（每次5分钟）一律依照College Board的要求进行，评分标准（包括raw score和scaled score）完全遵循College Board的Scoring System 执行。特别需要指出的是，其中的essay部分由专门聘请的二位SAT Essay阅卷官来评分，这样考出来的分数是货真价实的，完全等同于College Board正式的SAT考试。学生参加这样的模拟考试，如同身临真正的SAT考场之境，极大地培养了“考感”和强化了心理素质，在真正的SAT考试中，对全部流程都心知肚明、一清二楚，毫无紧张之感，做到尽情发挥，挥洒自如，手到擒来，轻而易举赢得成功。

我们于Mock Test 后的3天之内，提供一份详细的《SAT Score Report（成绩分析报告）》，比College Board的Question-and-Answer Service（QAS）报告更详细，这包括学生在考试中做过全套试题和一个包含学生答案和正确答案对照及其得分的明细表。针对每一道题目，详尽地罗列出其类型和难度级别以及学生的答案：分成correct, incorrect, or omitted三种情况，对学生答错或者不回答的题目给出正确的答案。因为学生做的是SAT真题，所以分数反映了学生的真实水平。尤其是学生临考SAT前夕连续三次参加我们的Mock Test所得的分数的平均值与他们后来参加真正的SAT考试所得分数如出一辙，误差不超过10分，极为精确。

我们通过《SAT成绩分析报告》来认清学生的优势强项与薄弱环节，特别是查觉学生哪部分最弱、哪部分有进步，并分析错题的失分原因，然后根据统计分析的结果对知识点进行查漏补缺，把做错的题当作一面“镜子”进行自我反思。针对弱项部分大幅增加题目练习，真正做到有的放矢、因地制宜，使学生融会贯通、举一反三并达到了然于心、心领神会的境界，在这样勤学苦练的基础上培养冷静、沉稳、淡定的心理素质，从而对SAT考试心里有数、胸有成竹，对付SAT考试就是手到擒来、易如反掌，最终“修成正果”、在正式的SAT考试中取得高分乃至满分。

SAT模拟考试重在求真求实，做到这一点的关键就是要使用College Board的SAT真题。我们通过与College Board的长期合作，作为研究项目，十分幸运获得了56套SAT真题，这形成了我们的威力无比的专利、独门绝活和秘密“核武器”。我们是大华府地区唯一一家获得College Board批准，使用他们的SAT真题进行模拟考试的机构。很多学生参加某些知名培训机构的SAT大班短期突击集成培训后，在他们最后的模拟考试中喜获高分，然后信心百倍、兴高采烈地去参加SAT考试，结果所得分数比模拟考试得分低500分之多，对家长和学生简直是当头一棒，犹如晴天霹雳，于是怀疑该知名培训机构最后的SAT模拟考试分数被严重“注水”。家长带学生找到我们，要求private（1对1) tutoring，我们让学生参加我们的SAT Mock Test，使用的College Board的2014年10月的一套SAT真题，结果该学生Mock Test所得分数与其刚考过的真正的SAT分数只相差10分，这表明该生参加SAT考试所得分数真切地代表了他的水平。后来通过我们20小时一对一的精心辅导，在2015年3月的SAT考试中获得2280分，比其2014年11月的SAT考试分数增长了560分。其中数学部分增加了250分，达到满分800；写作部分由570分变成了780分，提高了210分；就连最难的批判性阅读部分也提升了100分，达到700分。

知名培训机构的SAT模拟考试当然不会“注水”，那为什么误差大得那么吓人呢？就是Kaplan 和 Princeton Review这美国SAT辅导培训的二大巨头的模拟考试也是极其严重地测不准，究其原因，问题出在他们使用的是自编自导的模拟题 — “虚题”，而不是College Board的原汁原味的SAT真题。常言道，差之毫厘，失之千里。那些基于“虚题”的SAT模拟考试分数严重失真就不足为怪了。这些纯商业赢利性机构是不能使用College Board的SAT真题的，任何利用均属非法。而我们得天独厚，获得College Board批准，可以使用他们的SAT真题进行模拟考试，所以我们的Mock Test可以十分准确地检测出学生的真正的SAT分数。

我们于2011年创立了常青藤教育中心（Ivy League Education Center）和Mathisfun训练中心，提供课后和周末学校强化计划（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。我们的教学宗旨是：“小班教学，个别指导，因人施教，有的放矢，融会贯通，举一反三”。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：

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。
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.
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 è Set theory è Number theory è Combinatorics è Probability è Graph theory è 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。
数学竞赛辅导与训练，包括小学、中学和高中三个级别多层次，例如像美国数学协会的AMC8/AMC10/AMC12/AIME/USAMO, Math Prize for Girls, MathCounts, ARML, MOEMS, USAMTS, Mathematical Kangaroo, Math League，以及Harvard-MIT Mathematics Tournament （HMMT）等等。我们拥有美国数学协会资深高级数学教练执照证书，是大华府地区唯一的数学培训俱乐部和基地，负有为AMC培训和推荐优秀数学人才之责，并且我们拥有美国数学协会AMC授予的、为我们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。

热忱欢迎广大学生踊跃参加我们的SAT Mock Test和培训，我们的基于SAT真题的模拟考试为学生赢得SAT高分保驾护航，我们的培训非常接地气，一定让学生如虎添翼，旗开得胜！欢迎联系U.S. Ivy League Education Center的 Pauline老师或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！欲知更多关于SAT和学习数学的资讯，请看我们发表的系列文章：

SAT考试中Essay赢得满分12分的三大秘诀

Posted on 2015-04-04 | 16 comments

Pauline老师

SAT考试总分满分2400，由批判性阅读（Critical Reading）、数学（Math）和写作（Writing）三大部分各800分加和而得。其中写作部分的考试时间为60分钟，试题由两个种类组成，一个种类为语法及英语惯用法的multiple-choice题型，共有49道题目，这部分考试时间为35分钟；另一种类为essay写作，考试时间为25分钟。以2015年3月的SAT真题为例，在essay获得满分12分的前提之下，如果49道语法题中错3道，则写作部分获得800分；如果语法题中错4道，则可获得790分；如果语法题中错5道，则可获得770分。由此可见，essay获得满分是整个写作部分赢得高分乃至满分的重要“保险箱”。

我们在过去5年中，针对6386篇SAT考试的essay进行了系统性的分析和研究，其中获得满分12分的essay有573篇。我们有三大发现：

（1）写3个例子的essay容易得满分：写3个例子的essay比仅仅写2个例子的，其得分的平均值高出4.82分，我们还发现仅用1个例子写成的essay没有获得满分（12分）的；在所有由2个例子写成的essay中，获得满分的百分比为仅为1.6%；在全部由3个例子写成的essay中，获得满分的百分比高达79.3%。在573篇获得满分的essay中，含3个例子的占92.3%，含2个例子的仅占7.7%。

（2）写满2页的长篇essay容易得满分：我们将6386篇SAT考试的essay 的长度与分数进行对比分析，揭示了很高的相关性，essay的篇幅越长，得分越高，长篇essay得高分。最短的文章，通常是100个字，得到了一个最低分 — 2分。最长的，写满足足二页纸，约400字，大多赢得最高分 — 12分。essay的长度和得分之间的相关系数为0.93。其实，仅仅通过观察essay长短而非阅读内容，就可以在93%的情况下给定essay分数。我们发现一些作文存在明显的事实谬误；但仍因为篇幅长而获得高分。SAT的阅卷人并不关注essay的深度和精准性，而会注重于写足够长的、公式化的、啰嗦的章节。

（3）有个精彩开头的essay容易得满分：在获得满分的573篇essay中，98.6%的essay有一个精彩、优美、饱满的开头，有些写得辞藻华丽，用到一些拉丁、希腊语等；有些文笔犀利，展现了洞察力和批判能力；有些引用名人名言，尤其一些英美作家的经典语句。俗话说，良好的开头是成功的一半。万事开头难，做事如此，写文章也是如此。另一方面，63.7%的essay结尾结尾时草草收兵，显得单薄、苍白、无力，但是所有这些essay都有一个非常出色的开头，尽管是虎头蛇尾乃至有头无尾，仍能获得满分。由此可见，SAT的essay评卷中有鲜明的首因效应（Primacy Effect），第一印象作用和先入为主效应十分明显。

我们将上述发现总结成三大秘诀：写3个例子，写满足足二页，写个精彩的开头。这成了我们培训指导学生获得SAT考试essay高分的制胜法宝。我们专门建立了齐全的SAT Essay Examples Knowledge-base和SAT Essay Introduction Templates供学生背熟，在SAT考试中写SAT essay时围绕所论述的话题灵活运用即可，深受学生们的喜爱，这样极大地提高了他们的essay分数。

冬去春来，一元复始；大地回春，万象更新。一年之计在于春，良好的开端是成功的一半。为帮助广大高中学生准备SAT考试，我们特开设春季SAT强化提高班，训练学生写SAT essay是其中重要一环。我们通过长期的教学实践，积累了丰富的经验，取得了显著成果。仅仅就SAT essay而言，学生经过补习，平均成绩有大幅度提高。从2011年至今，经过我们培训的学生中，有52人获得SAT essay满分12分的佳绩。

先下手为强，“早起的鸟儿有虫吃”，考场逐鹿，捷足先得。越早准备SAT这样的标准化考试，就会获得比他人更多更好的机会。只有抢得头筹，才能先发制胜、一路领先。广大家长应该让他们的孩子充分利用春天的大好时光早做准备，练好基本功，力争上游。我们愿竭尽全力，热忱帮助你们。我们的春季SAT强化提高班的教学宗旨是：“小班教学，个别指导，因人施教，有的放矢，融会贯通，举一反三”。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。

我们于2011年创立了常青藤教育中心（Ivy League Education Center）和Mathisfun训练中心，提供课后和周末学校强化计划（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：

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。
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.
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 è Set theory è Number theory è Combinatorics è Probability è Graph theory è 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。
数学竞赛辅导与训练，包括小学、中学和高中三个级别多层次，例如像美国数学协会的AMC8/AMC10/AMC12/AIME/USAMO, Math Prize for Girls, MathCounts, ARML, MOEMS, USAMTS, Mathematical Kangaroo, Math League，以及Harvard-MIT Mathematics Tournament （HMMT）等等。我们拥有美国数学协会资深高级数学教练执照证书，是大华府地区唯一的数学培训俱乐部和基地，负有为AMC培训和推荐优秀数学人才之责，并且我们拥有美国数学协会AMC授予的、为我们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。

我们的培训非常接地气，一定让学生如虎添翼，旗开得胜！欢迎联系U.S. Ivy League Education Center的 Pauline老师或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！欲知更多关于SAT和学习数学的资讯，请看我们发表的系列文章：

从6年级开始就要做SAT真题

Posted on 2015-04-04 | 17 comments

Henry博士

SAT考试于1901年创立，1926年正式运行，迄今为止已有100多年的历史，参加考试的总人数超过10亿，历年来参与设计考题的专家学者超过10万。所以SAT是世界上最成熟、历史最悠久、参加考试人数最多、题库最大、精华最多的考试；它是数以十万计的专家学者长达百年的集体智慧的结晶；它还是世界上最优秀的大学（例如：哈佛、耶鲁、普林斯顿、MIT、斯坦福）用于选拔优秀人才的一个最重要的考试。SAT历年的考试真题都是经过千锤百炼的真金纯银式的价值连城的精品，我精心研究SAT考题10多年，从未见偏题、怪题和特难的题目，更未见过错题，深感其设计的科学性、合理性、原创性和完备性，SAT真题远胜过任何教科书及其它书籍上的习题，实属无价之宝。此外，SAT成绩与智力IQ测试分数之间的有高度的相关性，做SAT以前的真题是提高IQ的重要手段。因此，任何学生都应该充分利用SAT历年的考试真题这个巨大的宝库，尽早将其中的题目作为平时的练习题，一方面可以打好英文阅读、数学和英文写作的基础，另一方面可以提高自己的智力水平。

众所周知，美国小学的K-5年级学生以玩为主，在学中玩，在玩中学，适合儿童的天性；高中9-12年级学生以学为主，在学中忙，在忙中学，十分紧张。美国小学K-5和高中9-12年级的教学计划和设计应该说基本上是合理的、科学的，但是中学6-8年级学生以混为主，在混中学，在学中混，教师更是混字当头，在混中教，在教中混，师生一起“混为一体”、“教学相混”。中学6-8年级的学生在智力、思维能力和学习能力上与小学K-5年级已非常不同，中学6-8年级的学习课程、学习内容、学习方式不应是小学K-5年级的自然延伸；而应该与小学比起来有一个质的飞跃，应该是通向高中9-12年级的桥梁，应该与高中自动接轨。因此，中学6-8年级阶段的教学应该是“适度高中模式”，应该让学生适度忙起来了。

现在美国一般的公立中学6-8年级的教学状况是：学校里老师的平时教学是走马观花、浮光掠影，课堂作业囫囵吞枣、敷衍了事，家庭作业寥寥无几、屈指可数，学校测验考试的题目蜻蜓点水、浅尝辄止，学生缺少严格正规的基本功训练，不求甚解、业荒于嬉。很多6-8年级学生放学回家后用几分钟时间就完成了少得可怜的homework，然后饱食终日、无所事事，就堂而皇之、理直气壮地玩起电子游戏或者看电视，用以打发时间。有些孩子就这样成了沉溺于电子游戏的“瘾君子”或者电视的奴隶 — “Couch Potato”，受害无穷。父母深感束手无策，莫可奈何，乃至造成了“望儿生畏、望女成疯”的局面，令人痛心疾首。

美国中小学教育中最突出、最严重的问题出在中学6-8年级阶段，可谓误人子弟、害人不浅。既然学校极端懈怠和不作为，家长就必须自己动手、主动出击，寻找其它的教学资源来弥补学校教育的缺陷。一方面让孩子们忙起来 — 有事可做，并且是做正事；另一方面，为孩子增加“学术营养”进而充实和提高，为将来顺利进入高中阶段打下坚实的基础。而SAT以前的真题恰恰提供了这样一个极为宝贵的教学资源，可作为处于6-8年级的学生课外补习和作业的重要工具和平台。例如，SAT真题中的阅读材料的内容和题材对于引导学生的阅读具有非凡的指导意义。如果在平时阅读中，学生有意识的去读这方面的题材和资料，不但增长知识，开阔视野，还对提高阅读技巧和critical and creative thinking能力大有裨益。

SAT真题把难度分为5级，其中1-3级均属基本概念题，约占考题的75%；4-5级属于较难题或难题，约占考题的25%。以数学为例，SAT真题中的难度系数为1-3级的数学题目可以分为四类：（1）数字与运算，包括整数、分数、数轴、素数等；（2）代数与函数，包括一些代数表达式和简单函数，像一元一次函数和方程；（3）几何与度量，几乎全都属于简单的平面几何图形的范畴；（4）数据分析、统计和概率，例如基于图表的简单的数据解读，描述性统计（平均数，中位数和众数）。即使是难度系数为4-5级的数学题目都局限在Algebra 1和Geometry中范围之内。美国的6年级阶段普通学生上Math 6；优秀学生选上Math 7；特优学生上Pre-algebra, Montgomery County Public Schools称之为“Investigations into Mathematics (IM)” ；顶尖学生上Algebra 1乃至Geometry或Algebra 2。由此可见，即使是6年级普通学生，都可以学做SAT真题中难度系数为1-3级的数学题目，6年级优秀学生更应该做；6年级特优和顶尖学生不仅应该做这些容易的题目，还应该做那些难度系数为4-5级的数学题目，因为他们的数学知识已经完全覆盖了SAT考试Math Section的范围。通过做SAT数学真题一方面拓广他们的数学知识面、练好基本功；另一方面，培养他们勇于接受挑战的性格，这对他们的健康成长更为重要。此外，在6年级开始做SAT真题使学生对SAT考试熟能生巧，通过5年的持久SAT，到10-11年级正式考SAT时已属水到渠成、瓜熟蒂落，在SAT考试中游刃有余、笔走如神，轻而易举地获得高分乃至满分。试想：别人只能在10-11年级期间最多用5个月的时间准备SAT考试；你的孩子从6年级开始用 5年的时间准备SAT考试，并且既没有任何包袱，更没有丝毫的压力，对SAT已达到出神入化的境界，这种一本万利的工作，何乐而不为呢？！

我们已使用SAT 自2005年3月改版以来的53套SAT真题加上College Board的《The Official SAT Study Guide》第一版和第二版合计12套题目和College Board 的《The Official SAT Online Course》中的6套题目以及College Board 的4套Official SAT Practice Test总计75套题目，包括3942道数学题、4891道批判性阅读题和3577语法题，按照难度系数重新编排成为15种教材，其中数学教材5种：《1级难度的SAT数学真题集》，《2级难度的SAT数学真题集》，《3级难度的SAT数学真题集》，《4级难度的SAT数学真题集》和《5级难度的SAT数学真题集》；其中批判性阅读教材5种《1级难度的SAT批判性阅读真题集》，《2级难度的SAT批判性阅读真题集》，《3级难度的SAT批判性阅读真题集》，《4级难度的SAT批判性阅读真题集》和《5级难度的SAT批判性阅读真题集》；其中语法教材5种《1级难度的SAT语法真题集》，《2级难度的SAT语法真题集》，《3级难度的SAT语法真题集》，《4级难度的SAT语法真题集》和《5级难度的SAT语法真题集》。供学生从6年级开始由浅入深、循序渐进、日积月累、步步为营、稳扎稳打地进行学习，事半功倍、卓有成效。

我们专门针对6-8年级的学生的特点，为他们量身定做、精心设计，开设了特种SAT学习班，“小班教学，个别指导，因人施教，有的放矢，融会贯通，举一反三”是我们的特种SAT学习班的教学宗旨。利用上述教材，为学生详细讲解SAT的各种题型，使学生完全了解所有的题型分布规律、识别各类题型和掌握每一题型的解题策略。我们专门挑出典型题目进行详细分析、解剖麻雀、把握规律，并让学生反复磨练，触类旁通，形成体系。“温故而知新”，学生每做完一套SAT真题，让学生认真地“回头看”、进行批判性和创造性思维，想想看做题方法能否简化和优化，有没有别的方法也能做出来，哪一种方法更简单，更有效? 同样的方法对求解其它题目是否有效？仔细推敲，把这一道题的“油水”完全榨干、价值彻底挖净，这种充分反思的过程就是能力提升的过程。“授人以鱼，不如授人以渔”。事实上能力才是立足之本，培养学生分析问题、解决问题的能力和批判性与创造性思维能力才是本质核心，而我们的方法恰恰抓住了这个核心。

需要特别强调的是，我们的特种学习班与那些旨在于帮助11-12年级学生马上应试SAT的补习班完全不同，那种补习班全部是采用“快餐式”和“填鸭式”的教学方法，一切围绕着SAT考高分这个唯一目标，针对“压缩饼干式”的内容，急于求成般地进行短期突击追求“急就章”和“一蹴而就”。古人云：欲练神功先练内功。把内功练好才是王道！我们的特种学习班没有丝毫应试的压力，一切围绕着打基础，做SAT真题仅仅是手段，不是目的，帮助学生练好内功 — 数学和英语基本功，这才是真正的目的！我们坚决杜绝生吞活剥、“急风暴雨”式的教学模式，强调“慢绞细咽”、慢里出细活；强调积少成多，聚沙成塔；强调长期磨练，持之以恒；强调潜移默化，寓教于乐；强调有教无类、诲人不倦；强调因材施教、对症下药；强调从容自在、轻松愉快地学习。

我们的特种学习班为6-8年级的学生创造了一个共同学习的平台和环境，既有适度的竞争，更有积极的合作。其实，对绝大多数孩子而言，让他们单独在家学习，“孤军奋战”、“跑单帮”，倍感枯燥乏味、单调无趣，即使父母谆谆教诲，乃至手把手教孩子做题目，但是因为师出无名，孩子或阳奉阴违，或置之不理，效果甚微。然而，孩子一旦进入我们的特种学习班，立即判若二人，沉浸在一个充满友爱、乐趣、愉快、合作，又有适度的竞争的学习环境中，孩子们的学习热忱自然而然被激发出来了，犹如一个人跑步懒洋洋慢吞吞的没劲，速度不快，大家聚集起来一起跑，你追我赶，争先恐后，虎跃龙腾，勇猛向前，力争上游。特种学习班有明确的目标，严格的课堂教学，具体的课堂作业，较多的家庭作业，并且我们每周都认真细致地批改学生的家庭作业，据此给予学生个性化的辅导。我们作为老师，向学生提出正当要求和纪律约束，师出有名，名正言顺，学生都会遵守，加之学生在被置于一个班集体中“扎成堆”自然产生了摩拳擦掌、跃跃欲试的氛围和比学赶超、不甘人后的态势，所以易于管理。总之，我们这样的教学模式非常有利于学生的茁壮成长。经过我们的系统训练，几个被父母视为“叛逆者”的学生成了奋发向上的“攀立者”，被学校老师和儿科医生判为“儿童多动症”的学生成立了勤于开拓、勇于奔腾、追求卓越的“拓腾臻”学生，充分体现了孔子“有教无类、因材施教”和孟子“易子而教”的教育思想的巨大威力。

有心栽花花不开，无心插柳柳成荫。踏破铁鞋无觅处，得来全不费工夫。我们的“无为而治”式的专门针对6-8年级的特种SAT学习班自去年9月开办以来，已取得了突出的成果。现在，50%的学生已经完全掌握了1-2级难度的SAT真题，20%的学生业已完全掌握了1-3级难度的SAT真题，20%的学生业已完全掌握了1-4级难度的SAT真题，10%的学生业已完全掌握了1-5级难度的SAT真题。其中有个原来整天热中于电子游戏的“瘾君子”，被父母“逼”到我们的特种SAT学习班，通过8个月的系统学习，现已洗心革面，脱胎换骨，变成解SAT真题中难题的“赢君子”了，今非昔比，与之前判若云泥，这尤其令我们感到自豪和欣慰。其中有个6年级的女生在SAT考试中赢得2280的高分，令人瞩目。还有四个学生在约翰·霍普金斯大学Center for Talented Youth的talent search（天才少年搜寻项目）中，SAT数学都考了800。所有这些学生小小年纪就取得如此骄人的成绩，真乃自古英雄出少年，十分难能可贵。无为而无所不为，我们的特种SAT学习班现已开花结果，硕果累累。

我们的培训非常接地气，一定让学生如虎添翼，旗开得胜！欢迎联系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！欲知更多关于SAT和学习数学的资讯，请看我们发表的系列文章：

Math Competition Prep Class (for 7th to 11th graders) Spring Sessions

Posted on 2015-04-01 | 1 comment

Purpose: To prepare for the 2016 AMC 10/12, and the 2015 University of Maryland High School Math Competition

Specific Goal: To earn a score of 120 or more out of 150 on the American Mathematics Contest 10 (AMC 10), or a score of 100 or more out of 150 on the American Mathematics Contest 12 (AMC 12), and then qualify for the American Invitational Mathematics Examination (AIME), which is used to determine qualification for the United States of America Mathematical Olympiad (USAMO). There are many math competitions in the United States. Of those, only AMC → AIME → USAMO sequence would take you to the IMO (International Math Olympiad), the highest level math competition for high school students in the world.

Who should take this class: This class is very appropriate for 7th-11th grade students who are hoping to qualify for the AIME.

Monthly Mock Test: A simulated test every month helps students assess their level of preparation for the Math Competitions. The test consists of 25 questions similar to AMC 8 level from the licensed AMC Database, and is intended to mimic an actual math competition exam. After attempting the test, students get answers, explanations, and a detailed score report and wise performance summary.

Weekly Homework: At least 3 hours per week. We will carefully review and check each student’s homework, and correct any mistakes. Based on his/her work, we will provide the student with individualized proposal and support.

The only way to learn mathematics is by doing mathematics. Homework assignments are a fundamental part of a mathematics course. Homework is also seen as a welcome challenge and an opportunity for further learning. Homework given prior to a lesson can aid in understanding later during class. Homework also provides opportunities for reinforcement of the material learned in class.

We have to face the simple truth that to do well on this grueling contest, we will need to practice. Just like it is for sports and music, the key to success is repetition and practice. We strongly believe in effort and the malleability of intelligence. Intelligence can be enhanced through effort. People can develop impressive levels of expertise through hard work and practice. Effort and persistence are the keys to success. Hard work always pays off. Practice makes perfect!

All problems from past AMC 10 exams (2000-2014) and AHSME (1983–1999) form our “big data” system. The AHSME (American High School Mathematics Examination) was the former name of the AMC, before 2000. We have used data mining and predictive analytics to examine the types and the frequencies of questions in all these materials, and then completely “decoded” the AMC 10. We will show all the “secret code” cracked from the above big data to students, and teach them to totally grasp and “control” the AMC. For all questions on the recent AMC contests, we can find their “ancestors” and “roots” from the old AMC problems. Therefore, the best way to prepare for the contest is to practice by solving old AMC problems.

Benefits:

16 tutorial handouts (320 pages) developed by Dr. Henry Wan and 500 new problems similar to AMC 10 level from the licensed AMC Database
4 FREE mock tests, each of which has 25 questions taken from the licensed AMC Database

Class Outline:

In AMC 10 Prep Class, we will focus on efficient tricks, shortcuts, and strategies to solve AMC problems as well as test-taking tactics. The emphasis of this class will be on fundamental discrete math which is very common in competition math.

AMC 10 Prep Class Spring I

Class	Date	Topic	Homework	Tutorial Handouts
1	3/1, Sun	Sequences and series, including arithmetic, geometric sequence with other common sequence	AMC 10 Problem Set on Sequences and Series, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
2	3/8, Sun	Patterns (logic patterns, number patterns, word patterns, recursive patterns, geometric patterns, repeating patterns, growing patterns, shirking patterns)	AMC 10 Problem Set on Patterns, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
3	3/15, Sun	Finding the hundreds, tens, and units digits of a number	AMC 10 Problem Set on Hundreds/tens/units Digits, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
4	3/22, Sun	Using the inclusion-exclusion principle and pigeonhole principle to solve AMC problems	AMC 10 Problem Set on Counting, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
5	3/29, Sun	Prime factorization, integer equations, Diophantine equations and systems of integer equations	AMC 10 Problem Set on Integer Equations, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
6	4/5, Sun	Solving Quadratic Diophantine and Pell Equations, Special Factoring Trick –– Completing the Rectangle	AMC 10 Problem Set on Quadratic Diophantine and Pell Equations, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
7	4/12, Sun	Arithmetic, ratios, rates, properties of proportionality, and proportional reasoning	AMC 10 Problem Set on Arithmetic, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
8	4/19, Sun	Newly defined functions and operations, and algebraic methods and strategies for solving AMC problems	AMC 10 Problem Set on Newly Defined Functions, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
9	4/26	Algebraic Inequality: Linear and quadratic inequalities, AM-GM Inequality, Bernoulli Inequality, Cauchy-Schwarz Inequality, Hӧlder Inequality, Rearrangement Inequality	AMC 10 Problem Set on Algebraic Inequality, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes

AMC 10 Prep Class Spring II (Continuation of Session I)

Class	Date	Topic	Homework	Tutorial Handouts
1	5/3	Special right triangles I(30^o-60^o-90^o triangles, 45^o-45^o-90^o triangles)	AMC 10 Problem Set on Logical Reasoning, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
2	5/10	Special right triangles II(15^o-75^o-90^o triangles, 18^o-72^o-90^o triangles)	AMC 10 Problem Set on Completing the Rectangle, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
3	5/17	Logical reasoning techniques to solve AMC 10 problems	AMC 10 Problem Set on Special Right Triangles, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
4	5/24	Most commonly used methods to draw auxiliary lines and applications of the ruler, protractor, and compass to solve AMC geometry problems	AMC 10 Problem Set on Drawing Auxiliary Lines, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
5	5/31	Triangle geometry: common base theorem of triangles, triangle inequality, angle bisector theorem, Heron’s formula	AMC 10 Problem Set on Triangle Geometry, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
6	6/7	Circle geometry: intersecting chords theorem, Ceva’s theorem, Menelaus’ theorem,	AMC 10 Problem Set on Circle Geometry, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes
7	6/14	Polygons, cyclic polygons, Ptolemy’s theorem, Hippocrates’ theorem	AMC 10 Problem Set on Polygons, Plus some new problems with a similar difficulty level from the licensed AMC Database	Yes

Our main purpose is to help our students gain deeper understanding of the fundamental math concepts, build a solid foundation in math, and develop the critical thinking and problem-solving skills that are so valuable to success in any career. We are big believers in the FUNDAMENTALS! Our students will receive the LIFELONG BENEFITS from learning math.

Regardless of his/her math level, each student will have the opportunity to learn math in a fun, friendly, cooperative, supportive learning environment. The most important thing is to have fun.

Tuition Payment Policy

There are 2 tuition 2 payment options. In the first option, students may choose to pay on session-by-session basis. That is, choosing to pay for Session I, only, and then, if they decide to continue, pay for Session II. Note that Session I and Session II have different tuition fees because Session I has 9 classes and Session II only has 7. In the second option, students may pay for the whole 2 sessions at a discounted price of $1,260. Returning students only need to pay $1,230.

Although the 2015 AMC 10 contests has just finished, we must prepare in advance for the 2016 AMC 10 contests. As the great scientist Louis Pasteur said, “Chance favors only the prepared mind.” Those who strive to prepare early, and work hard are the ones who achieve the best results. The AMC is a complex math competition that requires dedication and focus. Therefore, the earlier our students start preparing, the better their scores will be.

We are only one in the Washington DC metropolitan area to offer elementary, middle, and high-school level competition math courses. Our tutoring model is very unique. We ask that all students complete all the required problems at home, and then email their work to us before come to the class. We will carefully review and check the students’ work. Based on their work, we can detect what are the student’s specific weaknesses and use those problems in class to teach the students all the tricks, shortcuts, strategies, and tactics for taking the contest. The entire two hours are used for instructional teaching only. We firmly believe that learning is extremely important, and that a student should not waste time doing problems with our supervision if they can do those problems at home. So our 2-hour session is equivalent to a regular 4-hour session, and thus our hourly rate is equivalent to $20 per hour.

Click the following articles to read more about our class:

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Posted in Math Competitions

Math Competition Prep Class (for 3rd to 7th graders) Spring Session

Posted on 2015-03-31 | 2 comments

Purpose: To help 3rd-7th graders prepare for math competitions, such as Mathcounts, AMC 8, Math Olympiads for Elementary and Middle Schools (MOEMS), Math Kangaroo, and Math League

Description:

In Math Competition Prep Class, we will focus on fundamental discrete math which comes up a lot on competition math. A variety of math contest questions are used to teach students strategies to solve problems and help students prepare for the competitions. These problems stimulate their interest and enthusiasm for problem solving, broaden their mathematical intuition, and develop their brainpower. The topics taught in this class are not covered in regular school math classes, allowing our students to stay one step ahead.

The main feature of this course is the use of the concrete => pictorial => abstract approach. The emphasis is placed on development and complete understanding of mathematical concepts and their interesting applications, as well as on proficiency in multi-step problem solving, non-routine approach, mathematical reasoning, higher order thinking, and creative thinking.

Benefits:

11 tutorial handouts (220 pages) developed by Dr. Henry Wan and 275 new problems similar to AMC 8 level from the licensed AMC Database

3 FREE mock tests, each of which has 25 questions taken from the licensed AMC Database

Grade Levels: Current Grades 3-7

Class Outline:

In Competition Math Prep Class, we will focus on efficient tricks, shortcuts, and strategies to solve competitive math problems as well as test-taking tactics. The emphasis of this class will be on fundamental discrete math which is very common in competition math.

Class	Date	Topic	Homework	Tutorial Handouts
1	4/4, Sat	The Fundamental Principle of Counting: Product Rule, Sum Rule, Introduction to Probability	AMC 8 Problem Set on Counting Principle, Plus some new problems from the licensed AMC Database	Yes
2	4/11, Sat	Factorials: Multiplying & Dividing Factorials, Trailing Zeroes	AMC 8 Problem Set on Factorials, Plus some new problems from the licensed AMC Database	Yes
3	4/18, Sat	Pascal’s Triangle: Building the Pascal’s Triangle, Pascal Patterns, Hockey Sticks	AMC 8 Problem Set on Pascal’s Triangle, Plus some new problems from the licensed AMC Database	Yes
4	4/25, Sat	Factorial Representation and Applications of Permutations, Combinations of Letters and Numbers	AMC 8 Problem Set on Permutations, Plus some new problems from the licensed AMC Database	Yes
5	5/2, Sat	Factorial Representation of Combinations, Distinguishability, Counting Paths on a Grid	AMC 8 Problem Set on Combinations, Plus some new problems from the licensed AMC Database	Yes
6	5/9, Sat	Permutations with Repetitions, Putting the Labeling Principle to Practice	AMC 8 Problem Set on Permutations with Repetitions, Plus some new problems from the licensed AMC Database	Yes
7	5/16, Sat	Combinations with Repetitions, Multinomial Coefficient	AMC 8 Problem Set on Combinations with Repetitions, Plus some new problems from the licensed AMC Database	Yes
8	5/23, Sat	Binomial Coefficients, The Sum of All Combinations, The Binomial Theorem and Formulas	AMC 8 Problem Set on Binomial Theorem and Formulas, Plus some new problems from the licensed AMC Database	Yes
9	5/30, Sat	Counting the Complement and Inclusion – Exclusion.	AMC 8 Problem Set on Counting the Complement, Plus some new problems from the licensed AMC Database	Yes
8	6/6, Sat	Arranging Objects in a Circle, Circular Permutations/ Combinations	AMC 8 Problem Set on Circular Permutations/ Combinations, Plus some new problems from the licensed AMC Database	Yes
11	6/13, Sat	Discrete Probability: Equally Likely Outcomes, Basic Probability Techniques, Complementary Probabilities	AMC 8 Problem Set on Discrete Probability, Plus some new problems from the licensed AMC Database	Yes

Why Discrete Math Is Very Important

Our main goal is to help our students gain deeper understanding of the fundamental math concepts, build a solid foundation in math, and develop the critical thinking and problem-solving skills that are so valuable to succeed in any career. We are big believers in the fundamentals of mathematics. Our students will receive the lifelong benefits from learning math.

Regardless of his/her math level, each student will have the opportunity to learn math in a fun, friendly, cooperative and supportive learning environment. The most important thing is to have fun!

+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

Weekly Homework: On average, at least a half hour per day. We will carefully review and check each student’s homework, and correct any mistakes. Based on his/her work, we will provide the student with individualized proposal and support.

We have to face the simple truth that to do well on these grueling contests, we will need to practice. Just like it is for sports and music, the key to success is repetition and practice. We strongly believe in effort and the malleability of intelligence. Intelligence can be enhanced through effort. People can develop impressive levels of expertise through hard work and practice. Effort and persistence are the keys to success. Hard work always pays off: practice makes perfect!

Small-sized Class Teaching Model:

We utilize the highly effective small-sized class teaching model. For the class size, we will maintain a size of less than 6 students. Smaller classes lead to pupils receiving more individual attention from teachers, and having more active interactions with them. We focus on every individual, not the whole class. Students will thrive from the smaller class sizes that allow them to reach their full potential. Particularly, students can benefit tremendously from high-frequent individualized student-teacher interactions leading to establishment of a stronger foundation for lifelong learning.

Click the following articles to read more about our class:

Our class will mainly focus on preparing for the following math competitions:

1. Prestigious National Elementary/Middle School Math Competitions:

Math Olympiads for Elementary and Middle Schools (MOEMS): This is a large and popular mathematics competition for students in grades 4 through 8. The goal of MOEMS is to expose students to elementary methods of mathematical problem solving.
Mathematical Kangaroo: This is the world’s largest mathematics competition with students in grades 2-12 competing from many nations around the world.
Math League: This is a well-known mathematics competition for elementary, middle, and high school students in the United States.
Continental Mathematics League (CML): This is an important mathematics contest for students in grades 2 through 12.

2. Premier National Middle School Math Competitions:

American Mathematics Contest 8 (AMC 8): The AMC 8 is the most rigorous nationwide mathematics competition at the middle school level, dedicated to the goal of strengthening the mathematical capabilities of our nation’s youth.
MATHCOUNTS: This is the preeminent middle school mathematics completion in the United States, sponsored by the National Society of Professional Engineers.

Investing in your children’s education is an investment in their future, which pays the best interest!

Education: A debt due from present to future generations.

— George Peabody

FROM — The Secret: What Your High Schools Don’t Tell you? by Elizabeth Wissner-Gross

Forget what other parents may tell you about the value of just “letting kids be kids”. Fun, play, relaxation are important for kids and adults alike, but most would agree that being engaged in an educational activity that they are passionate about is fun and also has long-term benefits to get into college and ultimately enhancing one’s career.

Competition for admission to America’s top colleges is more cutthroat than ever. Gone are the days when parents could afford to let high school guidance counselors handle the admissions process alone-gone, also, are the days when a student could wait until senior year to prepare for it. If you want to raise a kid colleges will compete for, you must act, EARLY and AGGRESSIVELY, as opportunity scout, coach, tutor, manager, and publicist -or be willing to watch that acceptance letter go to someone whose parents did.

Just let your child play 30 minutes LESS video games per day and do 30 minutes EXTRA on math problems instead. Those little EXTRAs add up to EXTRA-ORDINARY results! Thus, your child will receive the LIFELONG BENEFITS from learning math.

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Posted in Math Competitions

Places of Interest in Germantown, Maryland

Posted on 2015-03-31 | Leave a comment

During class time, parents may be interested in shopping around our area, relaxing or using your laptop/notebook in Starbucks, or going to a gym to pass the time. We have listed below some major shopping areas for your consideration.

Kingsview Village Shopping Center

Address: 18331 Leaman Farm Road, Germantown, MD 20874
Phone: (888) 695-0000

Starbucks

13408 Kingsview Village Avenue
Germantown, MD 208742914
301-540-6827

Regular Hours

Open 6:00 AM to 9:00 PM

Planet Fitness Gyms in Germantown, MD

Address: 13031 Wisteria Drive, Germantown, MD 20874
Phone:(240) 720-7444
Open and Staffed 24 Hours, 7 Days a Week!

韩国食品杂货店– Lotte Grocery

13069 Wisteria Dr.
Germantown, MD 20874
301 – 916 – 0757
Open Hours: 9:00 am — 9:30 pm

德国镇GW大中华（食品连锁超市）

GW Supermarket

19721 Fredrick Rd.
Germantown, MD 20876
301-916-9199
Open Hours: 8:00 am – 10:00 pm

德国镇图书馆 — Germantown Library （内有大量中文书籍、报刊、杂志）

19840 Century Blvd. Germantown, MD 20874 240-777-0110

Open Hours:

Monday	9 am – 9 pm
Tuesday	9 am – 9 pm
Wednesday	9 am – 9 pm
Thursday	9 am – 9 pm
Friday	10 am – 6 pm
Saturday	10 am – 6 pm
Sunday	Noon – 5 pm

购物中心 — Milestone Shopping Center （包括Walmart等数十家店）

20900 Frederick Rd, Germantown, MD 20876

好市多仓储式量贩店 — Costco Wholesale

880 Russell Ave, Gaithersburg, MD 20879
(301) 417-1500

Montgomery County Shopping Centers + Westfield Montgomery Shopping Center + White Flint Mall + Lake Forest Mall + Washingtonian Center + Westfield Wheaton Shopping Center
Maryland SoccerPlex & Discovery Sports Center

8031 Central Park Cir Boyds, MD (301) 528-1480

South Germantown Recreational Park

14501 Schaeffer Rd Boyds, MD (301) 601-4400

The Big Value of Middle School Math Competitions

Posted on 2015-03-29 | 43 comments

1de17dd68550035298362544d7128796 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; and they provide a means to combat the prevalent false image of mathematics held by students, as either a fearsomely difficult or a dull and uncreative subject.

Our Middle School Competitive Math course is designed purposefully to help students master Math Competitions, and enrich them academically. In the classes, we will cover all concepts/topics that frequently occur on the math contests 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 Johns Hopkins University CTY’s Scholastic and College Ability Test (SCAT), Montgomery County Public Schools’ magnet program admissions test, and even PSAT, SAT, and ACT.

In an increasingly competitive magnet program applications pool, the process of mastering math skills through our courses and participating in Math Competitions will help students strengthen and diversify their extracurricular activities. These contests can spur students’ interest in math and discover their talent through solving challenging problems different than those in the school classes. Good performance in Math Competitions will definitely enhance admission opportunities for students to magnet programs in Montgomery County Public Schools.

Premier National Mathematics Competition — AMC 8

Posted on 2015-03-22 | 35 comments

The American Mathematics Contest 8 (AMC 8), called the AJHSME until 1999, began in 1985. The AMC 8 is the most rigorous nationwide mathematics competition at the middle school level, dedicated to the goal of strengthening the mathematical capabilities of our nation’s youth. The AMC 8 is designed to promote the development of problem-solving skills. The AMC 8 provides an opportunity for middle school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers. Students apply classroom skills to unique problem-solving challenges in a low-stress and friendly environment.

The AMC 8 is a 25-question, 40-minute, multiple-choice contest for any student grades 8 and below. It is run by the Mathematical Association of America. A correct answer scores 1 point and an incorrect or blank answer receives neither gain nor penalty. Hence a score of 25 is considered perfect.

Grade Level: The AMC 8 is designed for middle school students in grades 6, 7, and 8. Highly motivated 4th and 5th grade students are encouraged to participate as well.

National Awards:

Certificate of Distinction — is given to all students who receive a perfect score.
Distinguished Honor Roll (top 1%). In 2014, this was 22-25 correct out of 25 problems.
Honor Roll (top 2-5%). In 2014, this was 17-21 correct out of 25 problems.
Student Achievement Roll (6th grade and below placing in the top 10%). In 2014, this was 15-25 correct out of 25 problems.

Challenge Level: Problems progress from relatively easy to very challenging. Middle school students of all abilities who enjoy math problem solving are encouraged to participate.

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You can visit the official MAA AMC 8 page by clicking here.

There are many math competitions in the United States. Of those, only AMC → AIME → USAMO sequence would take you to the IMO (International Math Olympiad), the highest level math competition for high school students in the world.

Overview: Current SAT vs. Redesigned SAT

Posted on 2015-03-20 | 18 comments

This high-level comparison between the current SAT and the redesigned SAT highlights major design features of the two tests. The first table provides a comparison of the major features of the current SAT and redesigned SAT. The second table provides a comparison by test, including the number of items and testing time. It is important to note that while the information in these tables represents our best understanding of the nature and features of the redesigned SAT, some specific elements, such as timing, length, and reported scores, are subject to revision based on the ongoing research process that guides the redesign.

Major Features

Comparison of the Major Features: Current SAT vs. Redesigned SAT
Category	Current SAT	Redesigned SAT
Total Testing Time* *Redesigned SAT testing time subject to research	3 hours and 45 minutes	3 hours (plus 50 minutes for the Essay [optional])
Components	Critical Reading Writing Mathematics Essay	Evidence-Based Reading and Writing Reading Test Writing and Language Test Math Essay (optional)
Important Features	Emphasis on general reasoning skills Emphasis on vocabulary, often in limited contexts Complex scoring (a point for a correct answer and a deduction for an incorrect answer; blank responses have no impact on scores)	Continued emphasis on reasoning alongside a clearer, stronger focus on the knowledge, skills, and understandings most important for college and career readiness and success Greater emphasis on the meaning of words in extended contexts and on how word choice shapes meaning, tone, and impact Rights-only scoring (a point for a correct answer but no deduction for an incorrect answer; blank responses have no impact on scores)
Essay	Required and given at the beginning of the SAT 25 minutes to write the essay Tests writing skill; students take a position on a presented issue	Optional and given at the end of the SAT; postsecondary institutions determine whether they will require the Essay for admission 50 minutes to write the essay Tests reading, analysis, and writing skills; students produce a written analysis of a provided source text
Score Reporting* *Redesigned SAT scores subject to research	Scale ranging from 600 to 2400 Scale ranging from 200 to 800 for Critical Reading; 200 to 800 for Mathematics; 200 to 800 for Writing Essay results scaled to multiple-choice Writing	Scale ranging from 400 to 1600 Scale ranging from 200 to 800 for Evidence-Based Reading and Writing; 200 to 800 for Math; 2 to 8 on each of three traits for Essay Essay results reported separately
Subscore Reporting	None	Subscores for every test, providing added insight for students, parents, admission officers, educators, and counselors

Test Length and Timing

Comparison of Test Length and Timing: Current SAT vs. Redesigned SAT
Current SAT			Redesigned SAT
Component	Time Allotted (minutes)	Number of Question/ Tasks	Component	Time Allotted (minutes)	Number of Questions/ Tasks
Critical Reading	70	67	Reading	65	52
Writing	60	49	Writing and Language	35	44
Essay	25	1	Essay (optional)	50	1
Mathematics	70	54	Math	80	58
Total	225	171	Total	180 (230 with Essay)	154 (155 with Essay)

Score Components

Comparison of Score Components: Current SAT vs. Redesigned SAT
Component	Current SAT	Redesigned SAT
Total Score	0	1
Section Scores	2	2
Test Scores	N/A	3 plus Essay scores
Cross-Test Scores	N/A	2
Subscores	N/A	7

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Posted in SAT Prep

College Board发布的新版SAT数学官方样题解读

Posted on 2015-03-20 | 18 comments

Henry博士

　　在2014年3月的SAT改革发布会上，College Board的总裁David Coleman在陈述数学部分的改革时说到：“There are three areas, focuses of math, problem solving and data analysis, the heart of algebra and passport to advanced math.”亦即：改革后的SAT数学部分含有三方面的内容：问题解决和数据分析，核心代数，以及高级数学基础知识。

后来College Board发表的重要文件“Test Specifications for the Redesigned SAT”中公布的SAT样题数学部分印证了这一说法，在公布的总共26道样题中，第11至第13题考察考生问题解决的能力，第1至第10题考察核心代数的知识，第17至第23题涉及到了高级数学的基础知识。

除上述College Board提前“说好了”的三种题型之外，新公布的样题中还多了额外的两个部分：Sample Problem Set(样题第14至第16题)和Additional Topics in Math(样题24至第26题)。

在已公布的新版SAT样题文件“Test Specifications for the Redesigned SAT”第135页列出了较为细化的SAT数学部分的考试结构，新SAT的数学部分考试时间为80分钟，其中可以使用计算器的部分有37道问题，总分数为40分，这部分的作答时间是55分钟；不可以使用计算器的部分含有20道题，总分数为20分钟，这部分的作答时间为25分。两个部分的题目加起来总共有57道。

在具体的57道题中又具体分为三种题型，Multiple Choices(选择题)，Student-Produced Response(答案输出题)和Extended Thinking(扩展思路题)。

　　其中Multiple Choices(选择题)有45道，每道题1分，每道题有4个选项，占总题目数量百分比的75%；Student-Produced Response(答案输出题)有11道，每道题1分，占总题目数量百分比的18%；而最后一类Extended Thinking(扩展思路题)含有1道题，价值4分，占总题目数量百分比的7%。

去年3月的SAT改革发布会上， David Coleman关于Problem solving and data analysis(问题解决和数据分析)模块是这样陈述的：“Problem solving and data analysis include using ratios, percentages and proportional reasoning to solve problems in real world situations including science, social science and career context. No longer will the SAT only have disconnected problems, or tricky situations that students won’t likely see again.” 亦即：问题解决和数据分析包括运用比率，百分比和比例推理去解决一些现实生活中存在的问题，包括自然科学，社会科学和职业背景等方方面面。SAT考试中将不再出现与现实不相干的问题，那些非常具有技巧性的场景题目也将不再出现。

新公布的样题，果真涉及到了自然科学，社会科学，百分比，职业背景这些内容。这些题目联系生活实际，与旧SAT相比，这些题目更加接地气。例如：

关于heart of algebra(核心代数)部分是这样陈述的：”The heart of algebra, focuses on mastery of linear equations and systems which echo throughout many field of study.” 核心代数部分要求学生掌握线性方程和体系，这在很多学科的学习中都用得到。

尽管只是短短的一句话，却涵盖多个知识点。新公布的样题中核心代数以多种形式出现，为了做对这些题目，需要考生除了一如既往的了解和代数相关的知识点外，还需做到足够熟练才能在规定的80分钟时间内做完所有题目。旧SAT考试数学部分考生觉得时间绰绰有余的现象恐很难在新SAT数学部分中出现。这一部分题目的代表样题为：

关于passport to advanced math 这一部分College Board的文件指出：“The passport to advanced math is the third area on the SAT. And once again, it is the math that opens doors of opportunity. These problems on the exams focus on the math you need to pursue further study, in disciplines like science and career opportunities in the STEM field of science and technology, engineering and math. The passport to advanced math section will carefully add in more complex equations or functions and expressions, which open up fields like the calculus.”

高级数学基础是新版SAT数学的第三部分。这一部分也带来机遇，数学题注重数学在科学研究，技术研发，工程，数学研究这些主要学科中的应用。学生在未来的学习和工作中需要这样的数学知识。高级数学基础部分会有选择的加入更复杂的等式、方程、表达式，比如微积分的内容。

从新公布的新SAT的26道样题来看，并未发现哪道题需要运用微积分，但是等式、方程、表达式确实更复杂了，这是新老SAT数学部分的另一主要区别。这一部分的典型样题为：

在College Board于2013年2月宣布将对SAT进行改革时，我们就立刻联合中国的新东方培训集团成立了应对和研究小组，和College Board保持密切联系，并向College Board总裁兼CEO David Coleman提出了我们的建议：在SAT考试中增加一个关于数学部分的选项，亦即对那些选择在考试中不使用计算器的学生给予5%（亦即40分）的加分（bonus），用以鼓励那些靠人脑而不是电脑进行简单计算的学生，以此作为“指挥棒”，引导和推动学生提高计算能力。正是我们的建议促使College Board在改革后的新版SAT数学部分增加了不允许利用计算器的数学题目。SAT这次的改革都在我们的掌握之中，我们已经开发了针对新版SAT考试的“Review Packet”，为广大学生在2016年3月改革后的SAT考试中赢得高分助一臂之力。其实，对于基础扎实的同学，标准化考试只有Format的不同，没有本质区别，万变不离其宗，这个“宗”就是基本功。只有那些基础薄弱的学生才会闻变失色，惊慌失措。别怕，古人云：欲练神功先练内功。把内功练好才是王道。我们一定会帮你练好内功 — 数学和英语基本功！

我们的培训非常接地气，一定让学生如虎添翼，旗开得胜！欢迎联系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！欲知更多关于SAT和学习数学的资讯，请看我们发表的系列文章：

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Posted in SAT Prep

Ivy League Education Center

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SAT考试中Essay赢得满分12分的三大秘诀

从6年级开始就要做SAT真题

Math Competition Prep Class (for 7th to 11th graders) Spring Sessions

Math Competition Prep Class (for 3rd to 7th graders) Spring Session

Places of Interest in Germantown, Maryland

Regular Hours

The Big Value of Middle School Math Competitions

Premier National Mathematics Competition — AMC 8

Overview: Current SAT vs. Redesigned SAT

College Board发布的新版SAT数学官方样题解读

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