Oh no! It’s Christmas Eve and I still haven’t wrapped my sister’s present! There are no boxes left in the house, so I’ll have to improvise. I spot a piece of cardboard that is 12 inches by 12 inches, so I can make my own box. But, after I put my sister’s present in the box, I want to fill the rest with chocolate. What dimensions will maximum the volume of the box that I can make from this piece of cardboard? Also, what will this maximum volume be so that I can optimize the space for chocolate?
The student also provided me with the calculus solution:
When students are given real applications of the concepts required by a course, they truly grasp the “WHY” part of education. In my class, I no longer hear, “Why do I have to complete this?”, or “What is the point of this?”, however I do hear “I finally understand why we are learning this!”. Give students the application, and they will learn the “why” on their own.