Stabrowski was worried that the girl, who often struggled with her behavior, might have a mini-meltdown — a “baby attack,” in KIPP jargon — in the middle of the class, but in fact, the girl spit out her gum and sat through the rest of the class and then afterward came up to her teacher with tears in her eyes. “We had a long conversation,” Stabrowski told me. “She said: ‘I’m trying so hard to just grow up. But nothing ever changes!’ And I said: ‘Do you know what does change? You didn’t have a baby attack in front of the other kids, and two weeks ago, you would have.’ ”

To Tom Brunzell, who as the dean of students at KIPP Infinity oversaw the implementation of the character report card, what is going on in character conversations like that one isn’t academic instruction at all, or even discipline; it’s therapy. Specifically, it’s a kind of cognitive behavioral therapy, the very practical, nuts-and-bolts psychological technique that provides the theoretical underpinning for the whole positive psychology field. Cognitive behavioral therapy, or C.B.T., involves using the conscious mind to understand and overcome unconscious fears and self-destructive habits, using techniques like “self-talk” — putting an immediate crisis in perspective by reminding yourself of the larger context. “The kids who succeed at KIPP are the ones who can C.B.T. themselves in the moment,” Brunzell told me. Part of the point of the character initiative, as he saw it, was to give their students the tools to do that. “All kids this age are having mini-implosions every day,” he said. “I mean, it’s middle school, the worst years of their lives. But the kids who make it are the ones who can tell themselves: ‘I can rise above this little situation. I’m O.K. Tomorrow is a new day.’ ”

For Randolph, the experience that Brunzell was describing — the struggle to pull yourself through a crisis, to come to terms on a deep level with your own shortcomings and to labor to overcome them — is exactly what is missing for so many students at academically excellent schools like Riverdale. And perhaps surprisingly, it may turn out to be an area where the students at KIPP have a real advantage over Riverdale kids. On the professional development day in February when I visited Riverdale, Randolph had arranged a screening for his entire faculty of “Race to Nowhere,” a movie about the stresses facing mostly privileged American high-school students that has become an underground hit in many wealthy suburbs, where one-time showings at schools, churches and community centers bring out hundreds of concerned parents. The movie paints a grim portrait of contemporary adolescence, rising in an emotional crescendo to the story of an overachieving teenage girl who committed suicide, apparently because of the ever-increasing pressure to succeed that she felt both at school and at home. At Riverdale, the film seemed to have a powerful effect on many of the staff; one teacher who came up to Randolph afterward had tears in her eyes.

“Race to Nowhere” has helped to coalesce a growing movement of psychologists and educators who argue that the systems and methods now in place to raise and educate well-off kids in the United States are in fact devastating them. One central figure in the movie is Madeline Levine, a psychologist in Marin County who is the author of a best-selling book, “The Price of Privilege: How Parental Pressure and Material Advantage Are Creating a Generation of Disconnected and Unhappy Kids.” In her book, Levine cites studies and surveys to back up her contention that children of affluent parents now exhibit “unexpectedly high rates of emotional problems beginning in junior high school.” This is no accident of demographics, Levine says, but instead is a direct result of the child-raising practices that prevail in well-off American homes; wealthy parents today, she argues, are more likely to be emotionally distant from their children, and at the same time to insist on high levels of achievement, a potentially toxic blend of influences that can create “intense feelings of shame and hopelessness” in affluent children.

Cohen and Fierst told me that they also see many Riverdale parents who, while pushing their children to excel, also inadvertently shield them from exactly the kind of experience that can lead to character growth. As Fierst put it: “Our kids don’t put up with a lot of suffering. They don’t have a threshold for it. They’re protected against it quite a bit. And when they do get uncomfortable, we hear from their parents. We try to talk to parents about having to sort of make it O.K. for there to be challenge, because that’s where learning happens.”

Cohen said that in the middle school, “if a kid is a C student, and their parents think that they’re all-A’s, we do get a lot of pushback: ‘What are you talking about? This is a great paper!’ We have parents calling in and saying, for their kids, ‘Can’t you just give them two more days on this paper?’ Overindulging kids, with the intention of giving them everything and being loving, but at the expense of their character — that’s huge in our population. I think that’s one of the biggest problems we have at Riverdale.”

This is a problem, of course, for all parents, not just affluent ones. It is a central paradox of contemporary parenting, in fact: we have an acute, almost biological impulse to provide for our children, to give them everything they want and need, to protect them from dangers and discomforts both large and small. And yet we all know — on some level, at least — that what kids need more than anything is a little hardship: some challenge, some deprivation that they can overcome, even if just to prove to themselves that they can. As a parent, you struggle with these thorny questions every day, and if you make the right call even half the time, you’re lucky. But it’s one thing to acknowledge this dilemma in the privacy of your own home; it’s quite another to have it addressed in public, at a school where you send your kids at great expense.