Depending on the area, both... Some things, like solving simple algebra and simultaneous equations are done to death, get the students to understand the concept

Depending on the area, both... Some things, like solving simple algebra and simultaneous equations are done to death, get the students to understand the concept, do a few different examples and move on. I hate when students are given say 20 equations to do which are all the same rules with different numbers. Something like differential equations, if you are plugging these into a calculator at first, you probably won't really get exactly what is going on. It requires more examples and exercises (there are a lot more different cases to give to) before a student could plug it into a calculator rather than going through the repetition of doing it by hand. I just missed some of the newer calculator heavy course at the end of high school, my brother got it the year after I left I guess, wasn't a big fan of it by the looks of it though.