The essay, “What is Mathematics? The Most Misunderstood Subject” by Dr. Robert H. Lewis, Professor of Mathematics, Fordham University, resonates strongly with me and underscores the challenges I faced teaching mathematics in public, and private, high schools.
Here are two excerpts that provide a taste of what he wrote. I wanted to write something similar distilling much of what I learned as a mathematics teacher these past several years. However, he beat me to it by nearly two decades, described it more powerfully than I could have ever imagined, and brings with him much more authority as a university mathematics professor.
I encourage you to read his entire article. It is well worth your time.