vii 1 OOUCTIONANOOVERVlliW 1 2 SEITING THE STAGE: PERSONAL IDENTITY ANO THE MErAPHYSICS OFMIND 1. Introduction 6 2. The Problem of Personal Identity over Time 7 3. The Psychological Criterion of Personal Identity over Time 12 4. The Neo-Lockean Psychological Criterion of Personal Identity 16 5. The Circularity Objection 19 6. Problems of Logical Form 21 7. The Lack of a Third-Person Criterion for Reidentification 23 8. The Unity of the Mental Bundle 25 9. The Individuation ofPersons 26 10. The Neo-Lockean Criterion and Physicalism: a 'Natural' Alliance 28 11. One 'Solution' to Five Problems...

Increasingly, teachers all over the world are grappling on a daily basis with the fact of multilingual classrooms. In this book, Jill Adler captures three inter-related dilemmas that lie at the heart of teaching mathematics in multilingual classrooms. Adler's identification and naming of the dilemma of code-switching, the dilemma of mediation, and the dilemma of transparency, arise from exploring the realities of actual classrooms, and are shaped by a perspective of teaching as a social practice.

Adler provides a sharp analysis and strong theoretical...

This book discusses mathematics learners in transition and their practices in different contexts; the institutional and socio-cultural framing of the transition processes involved; and the communication and negotiation of mathematical meanings during transition. Providing both empirical studies and significant theoretical reflections, it will appeal to researchers and postgraduate students in mathematics education, cultural psychology, multicultural education, immigrant and indigenous education.

JURGEN MAASS & WOLFGANG SCHLOGLMANN THEORY AND PRACTICE OF MATHEMATICS EDUCATION FOR ADULTS Our world is dominated by technological developments: The philosopher Heinz Hulsmann wrote that "Atom, Gen and Bit" are the three basic principles now (see Hulsmann, 1985). Each of the so-called new technologies is based upon mathematics: The first computer was built as a part of the Manhattan Project to calculate models of the atomic bomb. The human genome project uses computers very often to find out the structure of the genome. And computers are mathematical machines, materialised mathematics....

Dialogue and Learning in Mathematics Education is concerned with communication in mathematics class-rooms. In a series of empirical studies of project work, we follow students' inquiry cooperation as well as students' obstructions to inquiry cooperation. Both are considered important for a theory of learning mathematics.
Special attention is paid to the notions of dialogue' and critique'. A central idea is that dialogue' supports critical learning of mathematics'. The link between dialogue and critique is developed further by including the notions of intention' and...

The almost universal rejection of the notion of symbols as carriers of meaning' has created the need to find an alternative for the use of models as embodiments of mathematical concepts. By taking its point of departure as a concern for the way students actually use tools and symbols, and for what these signify for them, this book explores the option of building on symbolizing, modelling and tool use as personally meaningful activities of students. This theme is approached from different angles and different perspectives. One dimension is that of setting, varying from the study of informal,...

This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.

This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.

This book is of interest to mathematics educators, researchers in mathematics education, gender, social justice, equity and democracy in education; and practitioners/teachers interested in the use of project work in mathematics teaching and learning. The book builds theoretical ideas from a careful substantial description of practice, in the attempt to improve both theory and practice in mathematics education. It thus interrogates and develops theoretical research tools for mathematics education and provides ideas for practice in mathematics classrooms.

In this book, the author discusses a modern concept of general education that then helps to clarify both curricular and pedagogical deficits involved in conventional mathematics instruction. It provides an outline of an alternative mathematics instruction that can help to realize a general education and presents detailed arguments for seven interconnected objectives of a school system aiming at general education.