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My point is simple- just because other countries are forcing their young students to do higher and higher level math at earlier and earlier ages, we should not raise expectations across the board.
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<p>"Force" connotes that students in other countries sacrifice other things to keep up with their rigorous programs. Having grown up in one of those other countries and gone through their (public) elementary and middle school curricula, I can say that having a more advanced curriculum isn't stressful or harsh like I suspect many people imagine. </p>
<p>My experience was that educators simply emphasized understanding concepts, exposed students to interesting problems, and made sure everyone understood what was going on. Everyone was expected to perform at a reasonable level. We also had very good programs in music, art, and the humanities. And the classes were also fairly large, some with nearly 50 students. Looking back, I felt the schools did a good job of fostering creativity, analytical thinking, and an appreciation for intellectual pursuits. </p>
<p>My point was that the US could have similarly good schools. US students as a whole, I think, are not any less talented than students from other countries. Foreign schools are able to challenge their students more in high school because their students are given solid educations from an early age, and these benefits accumulate over time. </p>
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I don't think we should join an 'arms race' with other countries about how advanced our kids are in math (or science or any other subject). The genius of America lies in being a country of free thinkers who are creative, innovative, and well-rounded. It does not lie in being a country that leads its young down a straight and narrow path of academic achievement.
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<p>I would definitely agree with you about the importance of creativity, innovation, and well-roundedness. I would also argue that academic achievement and innovation are not mutually exclusive, but instead go hand in hand. It's difficult to inspire future scientists and engineers, for example, in schools that don't challenge students in math or science. Also, a lot of achievements in science and engineering are not a result of one brilliant person, but the combined efforts of many smart, motivated people working together. I wouldn't call it an arms race, but I think there are tremendous benefits to popularizing intellectual pursuits, not only in math and science but also in literature, music, humanities, and fine arts.</p>