Welcome to the world of mathematics as taught by Susan Robinson.
This semester, I am reading the book, Mathematics for Human Flourishing by Francis Su as part of the BCAMT (British Columbia Association of Mathematics) book club. This quote is something that stuck with me as I read the first three chapters:
"At every opportunity we need to counter the idea that math is memorization, and replace it with the idea that math is exploration. A math memorizer doesn't know how to react in unfamiliar situations, but a math explorer can flexibly adapt to changing conditions, because she has learned to ask questions that will prepare her for many scenarios" (page 26).
And this,
"... every single one of us is, whether we realize it or not, a teacher of math. We all communicate attitudes about mathematics through what we say to others, and our words have indelible effects. You can communicate negativity: "I was never any good at math." "That subject is for boys." "Don't hang out with her–she's a nerd." "Son, I'm not a math person and you probably have my genes." "Why would you take another math class?" Or you can commmunicate positivity: "Math is an exploratory adventure." "You can improve your math skills, just like I can improve my free throws." "Math is a power to see hidden patterns." "Everyone has promise in mathematics" (page 9).
There has been a pendulum shift from thinking that "there are math people and non-math people" to thinking that "everyone can do math," when really the truth is somewhere in between.
Dan Finkel explains what he means by "Math for All" in a blog post.
One of my goals for all of my students is for them to walk away from my class feeling more confident in their ability to be mathematical thinkers.
“Some people don’t like maths because they think, ‘Oh, my brain is getting all confused, it must be because I’m not very good at this.’ But actually, that’s what maths is about. You do have to feel like you are confused along the way, and that confusion is part of the path. If you never feel like you’ve pushed your brain to its limits, then your brain will never stretch. It will just keep doing all the things it could already do.”
–Eugenia Cheng
The first woman to win the Fields Medal, the nobel prize of mathematics.