Anyway, I’m happy with this book, because it’s the first example of applying arithmetic to science. I’m a bit unhappy when I read about the stars’ temperatures, but I’m not very unhappy because it’s more or less right—it’s just an example of error. Then comes the list of problems. It says, “John and his father go out to look at the stars. John sees two blue stars and a red star. His father sees a green star, a violet star, and two yellow stars. What is the total temperature of the stars seen by John and his father?”—and I would explode in horror.
My wife would talk about the volcano downstairs. That’s only an example: it was perpetually like that. Perpetual absurdity! There’s no purpose whatsoever in adding the temperature of two stars. Nobody ever does that except, maybe, to then take the average temperature of the stars, but not to find out the total temperature of all the stars! It was awful! All it was was a game to get you to add, and they didn’t understand what they were talking about. It was like reading sentences with a few typographical errors, and then suddenly a whole sentence is written backwards. The mathematics was like that. Just hopeless!
Then I came to my first meeting. The other members had given some kind of ratings to some of the books, and they asked me what my ratings were. My rating was often different from theirs, and they would ask, “Why did you rate that book low?”
I would say the trouble with that book was this and this on page so-and-so—I had my notes.
They discovered that I was kind of a goldmine: I would tell them, in detail, what was good and bad in all the books; I had a reason for every rating.
I would ask them why they had rated this book so high, and they would say, “Let us hear what you thought about such and such a book.” I would never find out why they rated anything the way they did. Instead, they kept asking me what I thought.
We came to a certain book, part of a set of three supplementary books published by the same company, and they asked me what I thought about it.
I said, “The book depository didn’t send me that book, but the other two were nice.”
Someone tried repeating the question: “What do you think about that book?”
“I said they didn’t send me that one, so I don’t have any judgment on it.”
The man from the book depository was there, and he said, “Excuse me; I can explain that. I didn’t send it to you because that book hadn’t been completed yet. There’s a rule that you have to have every entry in by a certain time, and the publisher was a few days late with it. So it was sent to us with just the covers, and it’s blank in between. The company sent a note excusing themselves and hoping they could have their set of three books considered, even though the third one would be late.”
It turned out that the blank book had a rating by some of the other members! They couldn’t believe it was blank, because they had a rating. In fact, the rating for the missing book was a little bit higher than for the two others. The fact that there was nothing in the book had nothing to do with the rating.
I believe the reason for all this is that the system works this way: When you give books all over the place to people, they’re busy; they’re careless; they think, “Well, a lot of people are reading this book, SO it doesn’t make any difference.” And they put in some kind of number—some of them, at least; not all of them, but some of them. Then when you receive your reports, you don’t know why this particular book has fewer reports than the other books—that is, perhaps one book has ten, and this one only has six people reporting—so you average the rating of those who reported; you don’t average the ones who didn’t report, so you get a reasonable number. This process of averaging all the time misses the fact that there is absolutely nothing between the covers of the book!
I made that theory up because I saw what happened in the curriculum commission: For the blank book, only six out of the ten members were reporting, whereas with the other books, eight or nine out of the ten were reporting. And when they averaged the six, they got as good an average as when they averaged with eight or nine. They were very embarrassed to discover they were giving ratings to that book, and it gave me a little bit more confidence. It turned out the other members of the committee had done a lot of work in giving out the books and collecting reports, and had gone to sessions in which the book publishers would explain the books before they read them; I was the only guy on that commission who read all the books and didn’t get any information from the book publishers except what was in the books themselves, the things that would ultimately go to the schools.
This question of trying to figure out whether a book is good or bad by looking at it carefully or by taking the reports of a lot of people who looked at it carelessly is like this famous old problem: Nobody was permitted to see the Emperor of China, and the question was, What is the length of the Emperor of China’s nose? To find out, you go all over the country asking people what they think the length of the Emperor of China’s nose is, and you average it. And that would be very “accurate” because you averaged so many people. But it’s no way to find anything out; when you have a very wide range of people who contribute without looking carefully at it, you don’t improve your knowledge of the situation by averaging.
At first we weren’t supposed to talk about the cost of the books. We were told how many books we could choose, so we designed a program which used a lot of supplementary books, because all the new textbooks had failures of one kind or another. The most serious failures were in the “new math” books: there were no applications; not enough word problems. There was no talk of selling stamps; instead there was too much talk about commutation and abstract things and not enough translation to situations in the world. What do you do: add, subtract, multiply, or divide? So we suggested some books which had some of that as supplementary—one or two for each classroom—in addition to a textbook for each student. We had it all worked out to balance everything, after much discussion.
When we took our recommendations to the Board of Education, they told us they didn’t have as much money as they had thought, so we’d have to go over the whole thing and cut out this and that, now taking the cost into consideration, and ruining what was a fairly balanced program, in which there was a chance for a teacher to find examples of the things (s)he needed.
Now that they changed the rules about how many books we could recommend and we had no more chance to balance, it was a pretty lousy program. When the senate budget committee got to it, the program was emasculated still further. Now it was really lousy! I was asked to appear before the state senators when the issue was being discussed, but I declined: By that time, having argued this stuff so much, I was tired. We had prepared our recommendations for the Board of Education, and I figured it was their job to present it to the state—which was legally right, but not politically sound. I shouldn’t have given up so soon, but to have worked so hard and discussed so much about all these books to make a fairly balanced program, and then to have the whole thing scrapped at the end—that was discouraging! The whole thing was an unnecessary effort that could have been turned around and done the opposite way: start with the cost of the books, and buy what you can afford.