I despise the miserable look that crosses slow-working children when their faster classmates thrust down their pencils in glee just before the timer stops in a dreaded math speed-drill. It is a mixture of shame, despair, and failure.

But the speed with which one is capable of doing math has little to do with the quality of work a person can actually execute using math.

It is true that eventually it is important for students to develop the flexible and automatic usage of a vast array of mathematical skills, but equally true is applying those skills.

Like learning English

It goes without saying that students must develop a flexible and automatic usage of a vast array of English vocabulary.

Yet few native English speakers seem to think they must force their child into hours of flash cards and speed drills on the necessary vocabulary (if you ever hear such an idea suggested, RUN!).

Instead, we seem to understand that true language fluency requires context, and that memorization can only occur through the actual necessity of the vocabulary in that context.

We learn a word, because we need the word.

Yes, a child’s teacher provides vocabulary lists, but every thoughtful literacy program still only takes words that actually come from a child’s readings for the week.

The students are only memorizing what they are actually seeing, handling, and manipulating naturally already.