The culture in the mathematics community dictates that once you've written a proof, you 'polish' it to make it as short and concise as possible. Before Common Core became widespread, it was common to see KA videos presenting the exact same topics in the exact same order as your own teacher.Ģ. grade-schoolers and high-schoolers, and so the videos on Khan Academy cater to these admittedly bad standards. The United States math curriculum places almost zero emphasis on proof writing or proof comprehension (and the things that pass for proofs in geometry are a joke). Before you continue, there are two unfortunate truths to keep in mind:ġ. Your objection is well-placed, and you're correct that proof-writing is a skill that is mostly improved by practice.