Why Johnny Can't Add: The Failure of the New Math

by Morris Kline

Book Overview

An analysis of new math classrooms and the failures that come along with them. This description may be from another edition of this product.

• Format: Hardcover
• Language: English
• ISBN: 0394719816
• ISBN13: 9780394719818
• Release Date: January 1974
• Publisher: Vintage Books USA
• Length: 208 Pages
• Weight: 0.35 lbs.

Customer Reviews

Sagacious Words

I started to underline what I thought were memorable parts of the book then realized that I would be underlining the entire book. It it cogent and sharp reading of the problems the author saw in 1972 and have been exacerbated to today. It is must for teachers and administrators if there is going to be any profound changes in education. The frustration level is so high in education today there might be hope that the people in the position to make changes will listen, unlike in '1972'. It would be irresponsible to the educators profession and the students who are served not to read this book.

WHY THE MODERN TEACHING OF MATH IS PERVERTED

When I was at Hi-School, here in Spain, in the United States of Europe, our teacher used to mention this book to us lots of times. Later on, when at University, I left no stone unturned at several University libraries till I found a copy of the book, a Spanish edition. I read the book just in one session, due to how interesting I found it. Professor Morris Kline (he taught at New York University, I think I remember)shows throughout the book the rare ability to absolutely master every mathematical concept he talks about and at the same time being able to see those concepts with fresh eyes, as if they were new for him, as if he himself were a teenager encountering those ideas for the first time and trying to come to grips with them. True that modern math is far more abstract and powerful than what was the knowledge body of mathematics say in the 17th century for instance. But at the same time, emphasis in detaching ideas from any connections with the physical world, abstracting as an end per se, and letting 'rigorousness' and formalism prevail over intuition, has led some areas of modern math to something which looks like an esoteric exercice consisting of sipping through the symbols in a book. Kline makes for instance the point that too much insistence on 'rigorousness' is equivalent to finding snakes under the jewels, and says that when a mathematician does not care any more or is not sensible to problems such as the movements of planets around a star, the behaviour of density waves (sound) in a cavity, the movement of a mass hanging from a spring, etc., then mathematics are close to over. He says, for instance and amongst many other things, that when mathematics -within a determined mathematical field- go too far away from the physical concepts that may have inspired them and grow out of themselves for too long, then only the fact of that task being in the hands of men with an extremely developed intuition may prevent that mathematical field from finally becoming barren. I found it very interesting how many hypocrisies Morries Kline pointed out in the modern style of teaching mathematics. Some teachers use intuitive, supposedly 'non-rigorous' methods to work out things IN their heads, but try to transmit it to the students in a modern, 'rigorous', and absolutely non-pedagogical way. A double language that usually will have coupled with it an equally twofold moral -hypocrisy-. They think clear in their heads but offer muddy explanations to the students, demoralizing them and making it look as if perfectly assembled and refined mathematical ideas were actually coming out of their heads instantly. It is all vane presumption that does not good to actual teaching. The final victims are the students. This may be one of the most important factors in accounting for the superiority of Japanese students over American ones in several math contests and comparisons held through the years. I too think that intuition is paramount in math and that 'rigorousness