Mr. Hartsfield’s praise gives us a benchmark for Homer’s intellectual progress in the memoir. At first, Homer was a mediocre student who could barely pass algebra. Here, he’s mastered calculus, and translated his mastery into sophisticated, well-thought-out designs. Mr. Turner’s change in attitude is also significant: first he thought of Homer as a nuisance, but now he recognizes him as a valuable representative for the school. Although Turner has doubts about the value of the science fair in the first place, he seems to have come around to the idea that Big Creek needs to excel in math and science.