Street Mathematics and School Mathematics

(Learning in Doing: Social, Cognitive and Computational Perspectives)
Terezinha Nunes, David William Carraher, Analucia Dias Schliemann

Cambridge University Press | 1993 | 180 páginas |  pdf | 23,265 Mb

lib.freescienceengineering.org

Desrição: People who learn to solve problems 'on the job' often have to do it differently from people who learn in theory. Practical knowledge and theoretical knowledge is different in some ways but similar in other ways - or else one would end up with wrong solutions to the problems. Mathematics is also like this. People who learn to calculate, for example, because they are involved in commerce frequently have a more practical way of doing mathematics than the way we are taught at school. This book is about the differences between what we call practical knowledge of mathematics - that is street mathematics - and mathematics learned in school, which is not learned in practice. The authors look at the differences between these two ways of solving mathematical problems and discuss their advantages and disadvantages. They also discuss ways of trying to put theory and practice together in mathematics teaching.

Table of Contents
Preface
Series foreword
1 What is street mathematics? 1
2 Arithmetic in the streets and in schools 13
3 Written and oral arithmetic 28
4 Situational representation in oral and written mathematics 49
5 Situational and mathematical relations: A study on understanding proportions 77
6 Reversibility and transfer in the schema of proportionality 103
7 Reflections on street mathematics in hindsight 127
References 155
Index 161