I think early math education suffers from the lack of awareness about how important is exactness in math. People come to math from real world, where they don&#x27;t mind to be rigorous about the meaning of every word. Most newcomers tend to skip words they don&#x27;t find interesting and then penalty seems to come from nowhere. And education even encourages such error-prone behaviour, by giving wrong exercises and poor material.<p>Math isn&#x27;t hard, it just doesn&#x27;t work for those who don&#x27;t know how to use it. And knowing how to use it means understanding what exactly you are doing. Many students don&#x27;t bother about what does it mean to do when asked to solve an equation.