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...

This book contributes to an ongoing effort to establish a research basis for the introduction of algebraic concepts and notation in elementary school--an area of studies that has come to be known as Early Algebra. It provides a rationale for the introduc

Provides a rationale for promoting algebraic reasoning in the elementary school curriculum and empirical data to support it. This book shows how young learners attempt to work with mathematical generalizations before they have learned formal algebraic notation. It is suitable as a text in undergraduate or graduate mathematics education courses.