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But others, like this question from the same exam, required logic:

A science test isn’t something that can be mastered just by learning rules. It requires making connections using logic

“We can’t compare this technology to real human students and their ability to reason,”

Teachers — many of them — will continue to resent efforts to use standardized tests to measure their ability to teach.

Tucker, 72, a former senior education official in Washington, is the president of the National Center on Education and the Economy, which he founded in 1988. Since then he has focused much of his research on comparing public education in the United States with that of places that have far better results than we do — places like Finland, Japan, Shanghai and Ontario, Canada. His essential conclusion is that the best education systems share common traits — almost none of which are embodied in either the current American system or in the reform ideas that have gained sway over the last decade or so.

His starting point is not the public schools themselves but the universities that educate teachers. Teacher education in America is vastly inferior to many other countries; we neither emphasize pedagogy — i.e., how to teach — nor demand mastery of the subject matter. Both are a given in the top-performing countries. (Indeed, it is striking how many nonprofit education programs in the U.S. are aimed at helping working teachers do a better job — because they’ve never learned the right techniques.)

75 percent of young Americans, between the ages of 17 to 24, are unable to enlist in the military today because they have failed to graduate from high school, have a criminal record, or are physically unfit.

Tony Wagner, the Harvard-based education expert and author of “The Global Achievement Gap,” explains it this way. There are three basic skills that students need if they want to thrive in a knowledge economy: the ability to do critical thinking and problem-solving; the ability to communicate effectively; and the ability to collaborate.

Wagner thinks we should create a West Point for teachers: “We need a new National Education Academy, modeled after our military academies, to raise the status of the profession and to support the R.& D. that is essential for reinventing teaching, learning and assessment in the 21st century.”

In middle school, science fair projects are typically still required — and, teachers lament, all too often completed by parents.

In many schools, science fairs depend on teachers who shoulder the extra work. They supervise participants and research, raise the money for medals and poster boards, and find judges — all on their own time.

“The course is really a refresher, but they aren’t ready for a refresher. They need to learn how to learn.”

The knowledge gap at community colleges is increasingly being recognized as a national problem.

“Many, many community college presidents will say that math developmental education is the most difficult problem they’re facing,”

Granted, there are no papers to grade, and assignments aren’t free-form, but how does one professor handle so many students? We had four teaching assistants, and my initial plan was that they would spend a lot of time on the discussion forum, answering questions. One night in the early days, I was on the forum at 2 a.m. when I saw a student ask a question, and I was typing my answer when I discovered that another student had typed an answer before I could. It was in the right direction, but not quite there, so I thought I could modify it, but then some other student jumped in with the right answer. It was fascinating to see how quickly students were helping each other. All we had to do was go in and say that it was a good answer. I actually instructed the T.A.’s not to answer so quickly, to let students work for an hour or two, and by and large they find the answers.

Most students who register for MOOCs don’t complete the course. Of the 154,763 who registered for “Circuits and Electronics,” fewer than half even got as far as looking at the first problem set, and only 7,157 passed the course. What do you make of that?

EdX operates under an honor code, with no way to verify that the student who registered is the one doing the work. Is that likely to change? It’s quite possible employers would be happy with an honor certificate. We’re looking at various methods of proctoring. We have talked about people going to centers to take exams. There are also companies that use the cameras inside a laptop or iPad to watch you and everything else that’s happening in the room while you take an exam, and that may be more scalable.

They make students vividly aware of new possibilities for intellectual and aesthetic fulfillment—pleasure, to give its proper name.  They may not enjoy every book we read, but they enjoy some of them and learn that—and how—this sort of thing (Greek philosophy, modernist literature) can be enjoyable. 

We should judge teaching not by the amount of knowledge it passes on, but by the enduring excitement it generates. Knowledge, when it comes, is a later arrival, flaring up, when the time is right, from the sparks good teachers have implanted in their students’ souls.

opening to lukewarm, if not downright hostile, reviews, Arthur Miller’s play “The Crucible” continues to be mounted and taught worldwide because it speaks to universal fears of social isolation and the unknown – fears especially present in a rapidly changing world, not to mention in the topsy-turvy social order of school.

Take the notion that children have specific learning styles, that some are “visual learners” and others are auditory; some are “left-brain” students, others “right-brain.” In a recent review of the relevant research, published in the journal Psychological Science in the Public Interest, a team of psychologists found almost zero support for such ideas.