I've told C. he has to start doing a page of problems in Greenhall's Acing the New SAT I Math, which I ordered after comparing Amazon reader reviews for the various prep books.
Today both he and I were stumped by this problem:
8. S is the sum of 4 consecutive integers, the smallest of which is n. In terms of S, what is the sum of four consecutive integers of which the greatest is n?
I solved it via "mathematical reasoning," a phrase I'm putting in quotation marks because while I do possess sufficient mathematical reasoning abilities to solve this problem via number lines and "n + 1s," apparently I do not possess sufficient mathematical reasoning power to solve it via substitution. (Or, rather, to recognize the fact that I am looking at a simple substitution problem.)
This is maddening.
However, the book is obviously going to be good for me to work through.
Does it take 10 years for inflexible knowledge to start easing up a bit?
Do we know?