Springer Transformation - A Fundamental Idea of Mathematics Education

This book addresses transformation as a fundamendal idea in mathematics education, in relation to knowledge, to signs and representations of mathematics, to concepts and ideas and to instruments for the learning of mathematics. From the Back Cover This book opens up a discussion on fundamental ideas of mathematics education as a means to focus on the overarching core issues and to reflect upon the identity of the scientific discipline. The concept of transformation is introduced as one fundamental idea in the discipline and examined from different perspectives. Transformations are  related to knowledge, to signs and representations of mathematics, to concepts and ideas central to teaching and learning mathematics, and to instruments for the learning of mathematics. With an international pool of authors, this book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized? The book is meant for researchers, teacher educators and curriculum designers in the field of Mathematics Education. It is destined to occupy an important place in current literature on the topic of transformation as a way of uncovering and explaining  mathematical practice and the very essence of mathematics as well as a way of creating and maintaining  semantic networks between different content areas.