The Glass Wall: Why Mathematics Can Seem Difficult

The Glass Wall: Why Mathematics Can Seem Difficult

by Frank Smith
     
 

ISBN-10: 0807742414

ISBN-13: 9780807742419

Pub. Date: 07/25/2002

Publisher: Teachers College Press

Following his years of studying human intellectual accomplishments such as language, reading, writing, thinking, and learning, Frank Smith now turns his critical lens on the teaching and learning of mathematics. In The Glass Wall, Smith helps us to understand why some people find the world of mathematics so compelling while others find it so difficult. This original…  See more details below

Overview

Following his years of studying human intellectual accomplishments such as language, reading, writing, thinking, and learning, Frank Smith now turns his critical lens on the teaching and learning of mathematics. In The Glass Wall, Smith helps us to understand why some people find the world of mathematics so compelling while others find it so difficult. This original volume examines two different worlds: the physical world (our familiar world of objects and events) and the world of mathematics (a completely different domain of experience), and the glass wall that can exist between them. Smith argues that, because the language used to talk about these two worlds is not the same, many people find themselves behind the glass wall, on the outside looking in.

Product Details

ISBN-13:
9780807742419
Publisher:
Teachers College Press
Publication date:
07/25/2002
Edition description:
New Edition
Pages:
176
Product dimensions:
6.12(w) x 9.00(h) x 0.44(d)

Table of Contents

Preface
Introduction1
1What Is Mathematics?7
2Making Sense16
3The Mathematics in Language23
4The Meanings of Numbers35
5Numbers (I): The Names42
6Numbers (II): The Written Form52
7Labeling, Ordering, and Quantifying61
8Calculating and Measuring71
9Notation - Signposts in the World of Mathematics83
10Numbers Between Numbers92
11Numbers in Space102
12Memorizing, Calculating, and Looking Up112
13Getting Beyond the Glass Wall122
Notes137
References155
Name Index159
Subject Index161
About the Author165

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