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思わず「その通りッ！」と叫んでしまいました。卒業論文や修士論文を書くと、統計学の重要性が身に染みて分かりますね。中学、高校で徹底的にやるべきだと私も思います。
【話題】 統計学を重点的に教えるべきだ【時間】 3分02秒
【要約】
１．アメリカの数学教育を改革したい
すぐに実行できるし、お金もかからない
２．現在の数学教育のカリキュラム
算数と代数を基礎に、頂点は微積分
このカリキュラムはよくない
最も重要なのは確率論と統計学である
３．統計学の重要性
微積分を使うのはごく少数の人々に限られる
それに対し、統計学は多くの人々が日常的に必要とする知識だ
将来のリスク、利益の見込み、無作為さ、データの分析
統計学を理解していたならば、現在の経済的混乱は起こらなかっただろう
統計学は不確実な未来を予測する、楽しい学問だ
４．アナログの世界からデジタルの世界ヘ
数学教育もアナログからデジタルへ変わるべきだ
不確実性、無作為性、大量のデータを扱う数学の分野を学ぶべきだ
【語彙】
czar ：権威、専門家
arithmetic ：算数、算術
algebra ：代数
calculus ：微積分学
statistics ：統計学
probability ：確率
discrete ：離散の、個別の
deviation ：偏差
mean ：平均
I mean it ：私はマジでそう思います！
【transcripts】
Now, if President Obama invited me to be the next Czar of Mathematics, then I would have a suggestion for him that I think would vastly improve the mathematics education in this country. And it would be easy to implement and inexpensive.
The mathematics curriculum that we have is based on a foundation of arithmetic and algebra. And everything we learn after that is building up towards one subject. And at top of that pyramid, it's calculus. And I'm here to say that I think that that is the wrong summit of the pyramid ... that the correct summit -- that all of our students, every high school graduate should know -- should be statistics: probability and statistics. (Applause)
I mean, don't get me wrong. Calculus is an important subject. It's one of the great products of the human mind. The laws of nature are written in the language of calculus. And every student who studies math, science, engineering, economics, they should definitely learn calculus by the end of their freshman year of college. But I'm here to say, as a professor of mathematics, that very few people actually use calculus in a conscious, meaningful way, in their day-to-day lives. On the other hand, statistics -- that's a subject that you could, and should, use on daily basis. Right? It's risk. It's reward. It's randomness. It's understanding data.
I think if our students, if our high school students -- if all of the American citizens -- knew about probability and statistics, we wouldn't be in the economic mess that we're in today. (Laughter) (Applause) Not only -- thank you -- not only that ... but if it's taught properly, it can be a lot of fun. I mean, probability and statistics, it's the mathematics of games and gambling. It's analyzing trends. It's predicting the future. Look, the world has changed from analog to digital. And it's time for our mathematics curriculum to change from analog to digital, from the more classical, continuous mathematics, to the more modern, discrete mathematics -- the mathematics of uncertainty, of randomness, of data -- that being probability and statistics.
In summary, instead of our students learning about the techniques of calculus, I think it would be far more significant if all of them knew what two standard deviations from the mean means. And I mean it. Thank you very much. (Applause)
arithmetic ：算数、算術
algebra ：代数
calculus ：微積分学
statistics ：統計学
probability ：確率
discrete ：離散の、個別の
deviation ：偏差
mean ：平均
I mean it ：私はマジでそう思います！
【transcripts】
Now, if President Obama invited me to be the next Czar of Mathematics, then I would have a suggestion for him that I think would vastly improve the mathematics education in this country. And it would be easy to implement and inexpensive.
The mathematics curriculum that we have is based on a foundation of arithmetic and algebra. And everything we learn after that is building up towards one subject. And at top of that pyramid, it's calculus. And I'm here to say that I think that that is the wrong summit of the pyramid ... that the correct summit -- that all of our students, every high school graduate should know -- should be statistics: probability and statistics. (Applause)
I mean, don't get me wrong. Calculus is an important subject. It's one of the great products of the human mind. The laws of nature are written in the language of calculus. And every student who studies math, science, engineering, economics, they should definitely learn calculus by the end of their freshman year of college. But I'm here to say, as a professor of mathematics, that very few people actually use calculus in a conscious, meaningful way, in their day-to-day lives. On the other hand, statistics -- that's a subject that you could, and should, use on daily basis. Right? It's risk. It's reward. It's randomness. It's understanding data.
I think if our students, if our high school students -- if all of the American citizens -- knew about probability and statistics, we wouldn't be in the economic mess that we're in today. (Laughter) (Applause) Not only -- thank you -- not only that ... but if it's taught properly, it can be a lot of fun. I mean, probability and statistics, it's the mathematics of games and gambling. It's analyzing trends. It's predicting the future. Look, the world has changed from analog to digital. And it's time for our mathematics curriculum to change from analog to digital, from the more classical, continuous mathematics, to the more modern, discrete mathematics -- the mathematics of uncertainty, of randomness, of data -- that being probability and statistics.
In summary, instead of our students learning about the techniques of calculus, I think it would be far more significant if all of them knew what two standard deviations from the mean means. And I mean it. Thank you very much. (Applause)