American school districts rely far too heavily on property taxes, which means districts in wealthy areas bring in more money than those in poor ones. State tax money to make up the gap usually falls far short of the need in districts where poverty and other challenges are greatest.

Americans tend to see such inequalities as the natural order of things. Canadians do not. In recent decades, for example, three of Canada’s largest and best-performing provinces — Alberta, British Columbia and Ontario — have each addressed the inequity issue by moving to province-level funding formulas. As a recent report by the Center for American Progress notes, these formulas allow the provinces to determine how much money each district will receive, based on each district’s size and needs. The systems even out the tax base and help ensure that resources are distributed equitably, not clustered in wealthy districts.

These were not boutique experiments. The Ontario system has more than two million public school students — more than in 45 American states and the District of Columbia. But the contrast to the American system could not be more clear. Ontario, for example, strives to eliminate or at least minimize the funding inequality that would otherwise exist between poor and wealthy districts. In most American states, however, the wealthiest, highest-spending districts spend about twice as much per pupil as the lowest-spending districts, according to a federal advisory commission report. In some states, including California, the ratio is more than three to one.

This has left 40 percent of American public school students in districts of “concentrated student poverty,” the commission’s report said.

Shanghai: Fighting Elitism

China’s educational system was largely destroyed during Mao Zedong’s “cultural revolution,” which devalued intellectual pursuits and demonized academics. Since shortly after Mao’s death in 1976, the country has been rebuilding its education system at lightning speed, led by Shanghai, the nation’s largest and most internationalized city. Shanghai, of course, has powerful tools at its disposal, including the might of the authoritarian state and the nation’s centuries-old reverence for scholarship and education. It has had little difficulty advancing a potent succession of reforms that allowed it to achieve universal enrollment rapidly. The real proof is that its students were first in the world in math, science and literacy on last year’s international exams.

One of its strengths is that the city has mainly moved away from an elitist system in which greater resources and elite instructors were given to favored schools, and toward a more egalitarian, neighborhood attendance system in which students of diverse backgrounds and abilities are educated under the same roof. The city has focused on bringing the once-shunned children of migrant workers into the school system. In the words of the O.E.C.D, Shanghai has embraced the notion that migrant children are also “our children” — meaning that city’s future depends in part on them and that they, too, should be included in the educational process. Shanghai has taken several approaches to repairing the disparity between strong schools and weak ones, as measured by infrastructure and educational quality. Some poor schools were closed, reorganized, or merged with higher-level schools. Money was transferred to poor, rural schools to construct new buildings or update old ones. Teachers were transferred from cities to rural areas and vice versa. Stronger urban schools were paired with rural schools with the aim of improving teaching methods. And under a more recent strategy, strong schools took over the administration of weak ones. The Chinese are betting that the ethos, management style and teaching used in the strong schools will be transferable.

America’s stature as an economic power is being threatened by societies above us and below us on the achievement scale. Wealthy nations with high-performing schools are consolidating their advantages and working hard to improve. At the same time, less-wealthy countries like Chile, Brazil, Indonesia and Peru, have made what the O.E.C.D. describes as “impressive gains catching up from very low levels of performance.” In other words, if things remain as they are, countries that lag behind us will one day overtake us.

The United States can either learn from its competitors abroad — and finally summon the will to make necessary policy changes — or fall further and further behind. The good news is that this country has an impressive history of school improvement, as reflected in the early-20th-century compulsory school movement and the postwar expansion, which broadened access to college. Similar levels of focus and effort will be needed to move forward again.