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.
Agar Prezident Obama meni matematikaning keyingi Qiroli bo'lishga taklif etsa, bu davlatda matematika ta'limini juda ham rivojlantirar edim, deb o'ylayman. Buni amalga oshirish oson bo'lardi va ko'p mablag' talab qilmas edi.
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)
Bizda mavjud bo'lgan matematika o'quv rejasi arifmetika va algebra asoslarida tuzilgan. Shundan beri o'rganadiganimiz bitta fanga olib boradi. O'sha piramidaning eng yuqorisida esa oliy matematika. Men shuni aytmoqchimanki, mening o'ylashimcha, bu oliy matematika piramidaning noto'g'ri cho'qqisi... hamma o'quvchilar, har bir o'rta maktab bitiruvchisi bilishi kerak bo'lgan fan -- statistika -- piramidaning to'g'ri cho'qqisi bo'lishi kerak: taxminiylik va statistika. (Qarsaklar)
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.
Meni noto'g'ri tushunmanglar. Oliy matematika muhim fan. Bu inson ongining buyuk mahsulotlaridan biridir. Tabiat qonunlari oliy matematika tilida yozilgan. Matematika, tabiiy fanlar, muhandislik va iqtisod sohalarida o'qiydigan har bir talaba universitetning birinchi kursini tugallashiga qadar albatta oliy matematikani o'rganishlari kerak. Lekin, matematika professori sifatida aytmoqchimanki, juda kam insonlar oliy matematikadan kundalik hayotda mazmunli ravishda foydalanadilar. Boshqa bir tomondan esa, statistika -- siz odatiy kun mobaynida ishlata oladigan va ishlatishingiz kerak bo'lgan fandir. Shundaymi? Bu tavakkalchilik. Bu mukofot. Bu duch kelgan, tartibsizlik. Bu ma'lumotni tushunishdir.
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.
Agar yuqori sinf o'quvchilari -- agar hamma Amerika fuqarolari -- taximiylik va statistikani bilganida, biz bugungidagidek iqtisodiy tartibsizlikda bo'lmas edik, deb o'ylayman. Nafaqat bu -- rahmat -- nafaqat bu ... [lekin] agar buni to'g'ri o'qitsak, bu fan juda ham qiziqarli bo'ladi. Aytmoqchimanki, taxminiylik va statistika, bu o'yin va tavakkalchilik matematikasi. Bu yo'nalishlarni tahlil qilish. Bu kelajak haqida taxmin qilish. E'tibor beringlar, dunyo analog modeldan diskretga o'zgardi. Shunday ekan, matematika o'quv rejasining ham modeldan (namunadan) elektronikaga o'zgarish payti keldi. An'anaviy, davomiy matematikadan zamonaviy, aniq matematikaga o'tish payti yetib keldi. Noma'lumlik matematikasi, ma'lumotning tartibsizligi, duch kelgan tartibda bo'lishi -- bu esa taximiniylik va statistikadir.
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)
Hullas, o'quvchilarimiz oliy matematikaning uslublarini o'rganganidan ko'ra, mening fikrimcha, agar ular o'rtacha ko'rsatkichdan ikkita standard uzoqlik nimaligini bilsalar, ana bu ancha muhimroq bo'lar edi. Chin ma'noda aytyapman. Katta rahmat. (Qarsaklar)