What impression of the mathematical pursuit do we give students? Answers are pre-known (they are at the back of the book or are in the teacher’s mind), all can be accomplished in a fixed amount of time (quizzes and exams are usually timed), and the goal is to follow a pre-set intellectual path (as dictated by a curriculum). Open research and problem-solving tasks, on the other hand, usually possess none of these features! Persistence and perseverance are key skills absolutely vital for any success in original intellectual endeavors.
Read the strategy essay and the explore the Curriculum Burst practice examples from the MAA AMC.