The education crisis requires a response at the level of the learner

Above-average results can still leave your child without the mathematics they need. In Illinois’s 2024 NAEP mathematics report, 32 percent of public-school eighth graders reached NAEP Proficient or above, compared with 27 percent in the nation’s public schools. Those are NAEP achievement levels, not a count of children unable to do grade-level work. The favorable national comparison does not answer a parent whose child still needs a better explanation. That response has to happen in the education the child receives, where their particular understanding matters more than the state’s position in a comparison.

The kid who wants to understand astrophysics and the kid who wants to become a football player have different reasons to care about mathematics. That does not mean either has signed a contract with a future career. It means we already know something useful about where an explanation might find their attention. Why should a curriculum ignore that information until the learner is old enough to choose a college major? We could use it now to give both children a more serious encounter with the subject.

The mathematical demands can remain rigorous while the questions differ. An aspiring astrophysicist may want to describe a body's motion; a football player may want to understand how speed changes across a run. The relationship between distance and time belongs to both investigations. Personalization need not remove a difficult idea to make the work attractive. It can give the learner a reason to stay with the idea long enough to understand it.

In a hypothetical football run, ten meters in the first two seconds and ten more in the next second imply different average speeds: five meters per second, then ten. The distances are equal, but the time needed to cover them has changed. Dividing distance by elapsed time answers the learner’s question about the run. Now the calculation has a job, and the child has a reason to care whether they have used the right interval.

Then ask what those averages conceal. They do not tell us the speed at every instant, or exactly when acceleration occurred. The learner has reached a reason to examine finer measurements and, eventually, a deeper mathematical idea. Both interests can lead there. The point is not to turn mathematics into two unrelated subjects, but to give each person a route that makes the next question matter.

Of course, a compelling question does not make division unnecessary. If the student confuses the total time with the interval, the calculation still goes wrong. Interest has made that mistake worth resolving because it obstructs something the learner wants to find out. The explanation needs to meet the actual difficulty, while the purpose of acquiring the skill remains visible. I want education to combine those responsibilities rather than alternate between meaningless drills and entertaining activities with no intellectual demands.

The useful next step is a lesson that responds to this child: what they already understand, where they need another explanation, and what they want to investigate next.

Even if neither child becomes an astrophysicist or a football player, the education need not have been wasted. They can understand quantities better, discover what demanding work feels like, and learn enough about an interest to revise it intelligently. Those are gains a future decision can use. An education should help produce that growing capacity in the person, rather than make the person wait for a future reform to arrive at the system.