I had a high school math teacher whose husband was a math professor at Utah State University. He was in the process of preparing an introductory-level college math textbook for publishing. He needed to test the problems on a student and come up with the answers for the back of the book.
I was a year or two away from that level of math, but my teacher thought I could handle it. She recommended me for the job.
Her husband offered me the job. I accepted.
I spent my summer vacation doing math problems at $100/chapter. I was The-Guy-Who-Puts-the-Answers-in-the-Back-of-the-Book.
It didn’t take long before I realized I was in over my head. I didn’t have the foundation for this level of math. The author’s writing style didn’t appeal to me.
But I trudged on.
Most math books at this level have 30 or 40 straightforward problems at the end of each chapter, plus 2 or 3 difficult problems. The straightforward problems can be answered quickly. The difficult problems take some thought and effort. They were used as extra credit by most teachers.
This book, on the other hand, had 10 straightforward problems and 20 difficult problems for each chapter.
Many of the difficult problems were proofs. The book gave the first two steps of the proof, and the student was supposed to complete the proof.
I learned to hate the proofs. They took most of my time. I couldn’t give up and look in the back of the book since it was my job to put the answer in the back of the book.
I learned a few life lessons that summer:
- You can’t be The-Guy-Who-Puts-the-Answers-in-the-Back-of-the-Book unless you know the math. You need the right foundation to do the job.
- If you’re asked to do math problems for $100/chapter, there are only two responses. Negotiate a higher price, or flee.
- One thing I didn’t learn that summer but recently came to understand thanks to Abstruce Goose is why the author included so many proofs at the end of the chapter.
