Mathematics teacher: Teaching students calculus before they attend university may significantly benefit them  Yet if students are taught calculus before they are ready for the level of abstraction involved, they may abandon the study of mathematics altogether
So if we are going to teach pre-university students calculus, we must make sure they can handle the level of abstraction involved
Teachers who teach university-level mathematics to pre-university students should be aware that students are likely to learn effectively only when the application of mathematics to concrete problems is shown.