Mathematics As A Second Language

Herb Gross' Classic Arithmetic Course

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Introduction to the Classic Course
There are 7 pieces of fruit in the picture to the right. It is no more likely that you would say that the picture contains 7 “apple oranges” than you would say that you got 7 AB's if you had a report card that showed you had 5 A's and 2 B's. The important point is that most of us visualize numbers as adjectives rather than as nouns and, as strange as it may seem at first, the only time that it is correct to say that 5 + 2 = 7 is when 5, 2 and 7 are adjectives modifying the same noun. For example we do not say that 5 + 2 = 60 even though it is true that
5 dimes + 2 nickels = 60 cents.
 
Therefore our arithmetic course is based on this fact:  most people view numbers as adjectives that modify nouns. By having students choose the nouns they want the numbers to modify, many mathematical topics become much easier to understand. Our experience validates that our approach is both user friendly and effective.

To illustrate our point, answer the following questions:
Question #1:
Do you tend to confuse a million and a billion because they are both very big numbers?
Question #2:
Do you tend to confuse 12 days with 31 years because they are both long periods of time?

If you answered “Yes” to Question #1 but “No” to Question #2, cheer up; you don't have a math problem, you have a language problem.
 
To get a glimpse of why the relationship between a million and a billion is the same as the relationship between 12 days and 31 years, a little computation confirms that a million seconds is a little less than 12 days while a billion seconds is a little more than 31 years! While people tend to confuse a million and a billion, no one ever tends to confuse 12 days with 31 years. Our claim is that most people have trouble with mathematics because numbers are often presented too abstractly, without reference to the nouns the numbers modify. Now that you know the story behind how the name of our web site was chosen, your next step is to choose the link below to learn how to use the course materials to your best advantage.

Note
This course is called "Classic” not just because it is 25 years old but also because of the fact that the written material was typed using an ordinary manual typewriter and the video tapes were produced in black-and-white using no audio visuals other than chalk, a black board and Herb talking. In fact the written material is labeled "prepublication edition” and has never been edited!  However in the 25 years since the course was produced Herb has been refining the material and has supplemented the course by producing slide shows that upgrade and expand much of the materials that defined the original course.  We have placed links to the videos and slide shows on the following pages.

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Contact us at info@adjectivenounmath.com

We wish to acknowledge the support of the Gabriella and Paul Rosenbaum Foundation in helping us develop the content on this website.  Without the support of the Foundation and its president, Madge Goldman, much of the material that will be posted here would not have existed.

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