My mother was a math major and my grandfather was a head of the department of math in a small town high school in his time. I work in the STEM field and my child was asking me for lessons in polynomials in 3rd grade because he could not understand how to factor them in some problems that he was seeing on some Math Circle website and hence I taught him exponents, functions, polynomials and it seemed the most ordinary thing to do. He asked and I taught it. I never once presumed that this was beyond the capability of a 3rd grader. Years later, in one of the admissions open houses, I am told that the "hardest" chapters in honors 8th-grade math are exponents and polynomials! I believe that if we belong to a family of HG+ individuals, it is easy to assume that we have no special abilities.
