When teaching maths that you are familiar with, it is not easy to see why students struggle with it – indeed once the student has understood the problem, they can’t see why they had difficulty before! This means that you have to be very careful what you say in case an attentive student takes it literally.
How many times has a lecturer said “the integral of e is itself ” ? So this happens:
- Q. Find the value of
When the error was pointed out to the student, they responded with
- Why does integrate to ? integrates to and as surely the integral of is also ?
How would you respond to this?