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To math education, says khan, is that students carry on gaps in their knowledge throughout their math careers. making it hard to get the more advanced concepts. the key to overcoming that problem is to let students learn at their own pace. khan academy offers students a quiz after each video, and they can't pass a level until they get ten out of ten questions right. >> let everyone learn at their own pace. only move on to a concept once they've gotten to a certain level of proficiency or a mastery on a base level. >> if we let students learn at their own pace, what does that do to the traditio...

Math careers. making it hard to get the more advanced concepts. the key to overcoming that problem is to let students learn at their own pace. khan academy offers students a quiz after each video, and they can't pass a level until they get ten out of ten questions right. >> let everyone learn at their own pace. only move on to a concept once they've gotten to a certain level of proficiency or mastery on a base level. so that their tool kit is strong for that more advanced thing. >> if we let students learn at their own pace, what does that do to the traditional classroom model? it's turned ups...

>> he said why don't you put your lectures on youtube. i said youtube is for dogs on skateboards, not for serious mathematics. >> five years later he has produced 3,000 videos that have been viewed over 80 million times. bill gates is a big fan and donated seed money. the videos cover every level of math. >> you only have a hypotonus when you have a right triangle. it is the side opposite the right angle and it is the longest side of a right triangle. >> plus many other topics. >> that's really just saying, hey, we've had enough of you, great britain. >> they're conversational and fun, but sti...

in 2007 we spent over $10,000 per student. versus the $7,400 average for rich countries. how can we spend so much money and have so little to show for it? we'll ask that question and others to some of the leading figures in american education. here on this special and in a time essay. we'll examine the roll of teachers, testing and technology and we'll ask the man who spend billions of dollars trying to fix education about how he's spending his money, microsoft founder and philanthropist, bill gates. first, there are two nations whose students consistently rank on top of the world. s...

a country. indeed our democracy depends on an educated citizenry. let's take a look. 100 american kids entering high school, what does fate have in store for them? 25 out of that hundred won't graduate from high school, a total of 50 won't go to college. that's half the class that won't go on to higher education. 50 will attends college, but only 22 will graduate within six years. meanwhile other countries are outsmarting us. on a recent international test, u.s. students ranked only 15th in the world in reading, 15 in science and 31st in math. what's odd is that we have been outstand...