For the past several years, America has been using its young people as lab rats in a sweeping, if not exactly thought-out, education experiment. Schools across the country have been lowering standards and removing penalties for failure. The results are coming into focus.

Five years ago, about 30 incoming freshmen at UC San Diego arrived with math skills below high-school level. Now, according to a recent report from UC San Diego faculty and administrators, that number is more than 900—and most of those students don’t fully meet middle-school math standards. Many students struggle with fractions and simple algebra problems. Last year, the university, which admits fewer than 30 percent of undergraduate applicants, launched a remedial-math course that focuses entirely on concepts taught in e

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