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I fear we’re facing a crisis in which a chunk of working-class America risks being calcified into an underclass, marked by drugs, despair, family decline, high incarceration rates and a diminishing role of jobs and education as escalators of upward mobility. We need a national conversation about these dimensions of poverty, and maybe Murray can help trigger it. I fear that liberals are too quick to think of inequality as basically about taxes. Yes, our tax system is a disgrace, but poverty is so much deeper and more complex than that.

to blame liberal social policies for the pathologies he examines. Yes, I’ve seen disability programs encourage some people to drop out of the labor force. But there were far greater forces at work, such as the decline in good union jobs.

Eighty percent of the people in my high school cohort dropped out or didn’t pursue college because it used to be possible to earn a solid living at the steel mill, the glove factory or sawmill. That’s what their parents had done. But the glove factory closed, working-class jobs collapsed and unskilled laborers found themselves competing with immigrants. There aren’t ideal solutions, but some evidence suggests that we need more social policy, not less. Early childhood education can support kids being raised by struggling single parents. Treating drug offenders is far cheaper than incarcerating them. A new study finds that a jobs program for newly released prison inmates left them 22 percent less likely to be convicted of another crime. This initiative, by the Center for Employment Opportunities, more than paid for itself: each $1 brought up to $3.85 in benefits.

ways of working are critical in mathematical work and when they are taught and valued, many more students contribute, leading to higher achievement

mathematics education we suffer from the widespread, distinctly American idea that only some people can be “math people.” This idea has been disproved by scientific research showing the incredible potential of the brain to grow and adapt. But the idea that math is hard, uninteresting, and accessible only to “nerds” persists. 

harsh stereotypical thinking—mathematics is for select racial groups and men. This thinking, as well as the teaching practices that go with it, have provided the perfect conditions for the creation of a math underclass.

online platform explaining research evidence on ability and the brain and on good mathematics teaching, for teachers and parents. The course had a transformative effect. It was taken by 40,000 people, and 95 percent said they would change their teaching or parenting as a result.

does not simply test a mathematical definition, as the first does. It requires that students visualize a triangle, use transformational geometry, consider whether different cases satisfy the mathematical definition, and then justify their thinking.

There is a good reason for this: Justification and reasoning are two of the acts that lie at the heart of mathematics. They are, in many ways, the essence of what mathematics is.  Scientists work to prove or disprove new theories by finding many cases that work or counter-examples that do not. Mathematicians, by contrast prove the validity of their propositions through justification and reasoning.

The young people who are successful in today’s workforce are those who can discuss and reason about productive mathematical pathways, and who can be wrong, but can trace back to errors and work to correct them.

American idea that those who are good at math are those who are fast. Speed is revered in math classes across the U.S., and students as young as five years old are given timed tests—even though these have been shown to create math anxiety in young children. Parents use flash cards and other devices to promote speed, not knowing that they are probably damaging their children’s mathematical development

The fact of being quick or slow isn't really relevant

gives more time for depth and exploration than the curricula it has replaced by removing some of the redundant methods students will never need or use.

The health of society is primarily determined by the habits and virtues of its citizens.

In many parts of America there are no minimally agreed upon standards for what it means to be a father. There are no basic codes and rules woven into daily life, which people can absorb unconsciously and follow automatically.

Roughly 10 percent of the children born to college grads grow up in single-parent households. Nearly 70 percent of children born to high school grads do. There are a bunch of charts that look like open scissors. In the 1960s or 1970s, college-educated and noncollege-educated families behaved roughly the same. But since then, behavior patterns have ever more sharply diverged. High-school-educated parents dine with their children less than college-educated parents, read to them less, talk to them less, take them to church less, encourage them less and spend less time engaging in developmental activity.

Next it will require holding people responsible. People born into the most chaotic situations can still be asked the same questions: Are you living for short-term pleasure or long-term good? Are you living for yourself or for your children? Do you have the freedom of self-control or are you in bondage to your desires?

Next it will require holding everybody responsible. America is obviously not a country in which the less educated are behaving irresponsibly and the more educated are beacons of virtue. America is a country in which privileged people suffer from their own characteristic forms of self-indulgence: the tendency to self-segregate, the comprehensive failures of leadership in government and industry.

People sometimes wonder why I’ve taken this column in a spiritual and moral direction of late. It’s in part because we won’t have social repair unless we are more morally articulate, unless we have clearer definitions of how we should be behaving at all levels.

History is full of examples of moral revival, when social chaos was reversed, when behavior was tightened and norms reasserted. It happened in England in the 1830s and in the U.S. amid economic stress in the 1930s.