I believe it is fully possible for every educator to solve the third problem. It isn’t through installing a new app, organizing a schedule differently, embracing meditation, or taking medication.
A semester in the making, this changed everything about M’s project. She had originally wanted a wider audience with a published video to YouTube, but after she received the reply, she immediately asked to present her research to the class so we could all share in her passion, ask questions, and respond and react in real time.
There are enough studies asserting higher mathematics is unnecessary for the majority of the populations daily functions. In fact, if you give a final algebra or geometry exam to every teacher in a high school, I can promise you only a select few will be successful (I’ll let you guess that select few).
Bill Carey states that mathematics most certainly has a grammar, just as language does. For instance, we know how letters, words, and sentences work. They have a concrete system or pattern. In this same way, something like long division also has a “grammar”. Long division has “presumed prescriptive notions about correct use”. So, could mathematics — knowing it has a grammar — also be considered a form of rhetoric?