关于天才教育的建议
如果你只能给你的儿子或女儿一份礼物,那就让他们拥有热情吧。(布鲁斯·巴顿)
教育是一个复杂、多面且艰苦的过程,即使孩子天赋异禀,情况也并不会有所减轻。我反对任何单一的“灵丹妙药”来教育资优儿童,无论是特殊学校、私人辅导、家庭教育、跳级,还是其他任何方式;这些都是有利有弊的选择,需要根据孩子、家长和学校的各种要求和偏好(包括学术和非学术)进行权衡。由于每个孩子的情况差异很大,我无法针对特定孩子的情况给出任何具体的建议。[特别是,由于我现有的时间承诺很多以及请求数量巨大,我无法亲自回复任何有关资优教育的咨询。]
不过,我确实可以给出一些一般性建议。首先,不应过分关注特定的、人为的基准,例如只用 Z 年时间在著名机构 Y 获得学位 X,或在 C 岁时在测试 B 上取得 A 的分数。从长远来看,这些壮举不会是孩子职业生涯中最重要或最具决定性的时刻;而且,过度追求这些基准可能获得的任何短期优势,可能会被实现这一目标所耗费的时间和精力所抵消,而这些时间和精力本可以用于孩子社交、情感、学术、身体或智力发展的其他方面。当然,仍然应该努力工作,如果愿意,也可以参加竞赛;但竞赛和学术成就本身不应被视为目的,而应被视为发展个人才能、经验、知识和对该学科的乐趣的一种方式。
其次,我认为享受工作很重要;这是一个人在整个职业生涯中得以维持和前进的动力,并能避免倦怠。如果一位好心的父母,因为对孩子在某一学科天赋的培养用力过猛(或不足),最终却意外地熄灭了孩子对该学科的热爱,那将是一场悲剧。孩子的教育进度应更多地由孩子的渴望程度驱动,而不是家长的渴望程度。
第三,应该为孩子的努力和成就(他们可以控制的)而赞扬他们,而不是为他们的天赋(他们无法控制的)而赞扬他们。 Po Bronson 的这篇文章极好地阐述了这一点。另请参阅《科学美国人》的文章“ 培养聪明孩子的秘诀 ”,了解相似的观点。
最后,个人的目标应该灵活。一个孩子最初可能在 X 领域有天赋,但后来决定 Y 领域更有趣或更适合。这可能是一个更好的选择,即使 Y 领域比 X 领域“ 不那么有声望 ”;有时,在一个自己感到胜任和舒适的不太知名的领域工作,比在一个“热门”但竞争激烈、自己感到不适合的领域工作要好。(另请参阅李嘉图的比较优势法则。)
我自己的教育经历在以下文章中有所讨论。虽然我对自己的发展结果非常满意,但我再次提醒,每个孩子的情况、优势和劣势都不同,我的经历不一定是他人的理想榜样。
- “ Terence Tao ”,Ken Clements,教育数学研究,1984 年 8 月,第 15 卷,第 3 期,213-238 页
- “ 家长参与资优教育 ”,Billy Tao,教育数学研究,1986 年 8 月,第 17 卷,第 3 期,313-321 页
- “ 澳大利亚的激进加速:Terence Tao”, Miraca Gross,G/C/T,1986 年 7 月/8 月
- “ 来自 SMPY 最伟大的前神童的见解:Terence (“Terry”) Tao 博士和 Lenhard (“Lenny”) Ng 博士反思他们的才能发展 ”,Michelle Muratori, Julian Stanley, Lenhard Ng, Jack Ng, Miraca Gross, Terence Tao, Billy Tao, 资优儿童季刊,2006 年秋季,第 50 卷,第 4 期,307-324 页
对于资优教育的专业建议,我可以推荐 Center for Talented Youth(天才青年中心)。另请参阅我的职业建议页面。
IQ 补充说明
有各种互联网来源将一个巨大的数值智商(IQ)归因于我。尽管大众对此统计数据着迷,但它在学术界(除了心理测量学等专业领域之外)并没有实际作用;例如,它在确定大学录取(与 SAT 或 GRE 等标准化测试不同)或工作申请方面没有官方或非官方的作用。尽管如此,我仍不时被问及这个数字的来源。
我六岁时接受了斯坦福-比奈测试,获得的分数相当于一个典型的 14 岁儿童的水平。基于此,通过简单的除法可以推断出略高于 220 的智商,但该测试在这些量表上具有极大的噪声,考虑到现实的误差范围,更准确的估计是“大于 175”。Miraca Gross 的书《 Exceptionally gifted children 》(天赋异禀的儿童)中记载了这一点,书中我被赋予了笔名“Adrian Seng”;相关的摘录可在此处找到。
但没有理由期望这个比率会在我的晚年继续保持;我八岁时确实参加了其他一些认知测试(参见上面链接的 Clements 的文章),但从那以后就没有参加过此类测试。
Advice on gifted education
If you can give your son or daughter only one gift, let it be enthusiasm. (Bruce Barton)
Education is a complex, multifaceted, and painstaking process, and being gifted does not make this less so. I would caution against any single “silver bullet” to educating a gifted child, whether it be a special school, private tutoring, home schooling, grade acceleration, or anything else; these are all options with advantages and disadvantages, and need to be weighed against the various requirements and preferences (both academic and non-academic) of the child, the parents, and the school. Since this varies so much from child to child, I cannot give any specific advice on a given child’s situation. [In particular, due to many existing time commitments and high volume of requests, I am unable to personally respond to any queries regarding gifted education.]
I can give a few general pieces of advice, though. Firstly, one should not focus overly much on a specific artificial benchmark, such as obtaining degree X from prestigious institution Y in only Z years, or on scoring A on test B at age C. In the long term, these feats will not be the most important or decisive moments in the child’s career; also, any short-term advantage one might gain in working excessively towards such benchmarks may be outweighed by the time and energy that such a goal takes away from other aspects of a child’s social, emotional, academic, physical, or intellectual development. Of course, one should still work hard, and participate in competitions if one wishes; but competitions and academic achievements should not be viewed as ends in themselves, but rather a way to develop one’s talents, experience, knowledge, and enjoyment of the subject.
Secondly, I feel that it is important to enjoy one’s work; this is what sustains and drives a person throughout the duration of his or her career, and holds burnout at bay. It would be a tragedy if a well-meaning parent, by pushing too hard (or too little) for the development of their child’s gifts in a subject, ended up accidentally extinguishing the child’s love for that subject. The pace of the child’s education should be driven more by the eagerness of the child than the eagerness of the parent.
Thirdly, one should praise one’s children for their efforts and achievements (which they can control), and not for their innate talents (which they cannot). This article by Po Bronson describes this point excellently. See also the Scientific American article “ The secret to raising smart kids ” for a similar viewpoint.
Finally, one should be flexible in one’s goals. A child may be initially gifted in field X, but decides that field Y is more enjoyable or is a better fit. This may be a better choice, even if Y is “ less prestigious ” than X; sometimes it is better to work in a less well known field that one feels competent and comfortable in, than in a “hot” but competitive field that one feels unsuitable for. (See also Ricardo’s law of comparative advantage.)
My own education is discussed in the following articles. While I am very happy with the way things turned out for me, I would again caution that each child’s situation, strengths, and weaknesses are different, and that my experience might not necessarily be the ideal template to follow for others.
- “ Terence Tao ”, Ken Clements, Educational Studies in Mathematics, August 1984, Vol. 15, No. 3, 213-238
- “ Parental involvement in Gifted Education ”, Billy Tao, Educational Studies in Mathematics, August 1986, Vol. 17, No. 3, 313-321
- “ Radical Acceleration in Australia: Terence Tao”, Miraca Gross, G/C/T, July/August 1986
- “ Insights from SMPY’s greatest former child prodigies: Drs. Terence (“Terry”) Tao and Lenhard (“Lenny”) Ng reflect on their talent development ”, Michelle Muratori, Julian Stanley, Lenhard Ng, Jack Ng, Miraca Gross, Terence Tao, Billy Tao, Gifted Child Quarterly, Fall 2006, Vol. 50, No. 4, 307-324
For professional advice on gifted education, I can recommend the Center for Talented Youth. See also my page on career advice.
Addendum on IQ
There are various internet sources attributing a large numerical Intelligence Quotient (IQ) to myself. Despite the popular fascination with this statistic, it plays no actual role in academia (outside of specialist fields such as psychometrics); for instance it has no official or unofficial role in determining college admissions (in contrast to standardized tests such as the SAT or GRE), or on job applications. Nevertheless, I am asked from time to time as to the source of this number.
When I was six years old, I was given the Stanford Binet test and obtained a score that was equivalent to that attained by a typical 14-year old. Based on this, an IQ of just over 220 could be inferred by simple division, but the test is extremely noisy at these scales, and with realistic error bars a more accurate estimate would be “greater than 175”. This was documented in the book “ Exceptionally gifted children ” by Miraca Gross, where I was given the pseudonym “Adrian Seng”; a relevant excerpt can be found here.
But there is no reason to expect that this ratio would continue in my later years; I did take some other cognitive tests at age eight (see the article of Clements linked to above), but have not taken such tests since.