Unlike most other subjects, math is cumulative: students are taught one technique, they practice it for a while, and then they’re taught a second technique that builds on the previous. So there are two skills required:
The discipline to study and practice a technique until you understand it and can apply it easily.
The ability to close the inferential gap between one technique and the next.
The second is the source of trouble. I can (and have) sat in on a single day’s instruction of a language class and learned something about that language. But if a student misses just one jump in math class, the rest of the year will be incomprehensible. No wonder people become convinced they’re “terrible at math” after an experience like that!
Unlike most other subjects, math is cumulative: students are taught one technique, they practice it for a while, and then they’re taught a second technique that builds on the previous.
How is that unlike other subjects? Seems pretty universal.
Unlike most other subjects, math is cumulative: students are taught one technique, they practice it for a while, and then they’re taught a second technique that builds on the previous. So there are two skills required:
The discipline to study and practice a technique until you understand it and can apply it easily. The ability to close the inferential gap between one technique and the next.
The second is the source of trouble. I can (and have) sat in on a single day’s instruction of a language class and learned something about that language. But if a student misses just one jump in math class, the rest of the year will be incomprehensible. No wonder people become convinced they’re “terrible at math” after an experience like that!
How is that unlike other subjects? Seems pretty universal.