Bøger i Mathematics Education Library serien

The Construction of New Mathematical Knowledge in Classroom Interaction deals with the very specific characteristics of mathematical communication in the classroom.

They address questions raised by the recurrent observation that, all too frequently, the present ways and means of teaching mathematics generate in the student a lasting aversion against numbers, rather than an understanding of the useful and sometimes enchanting things one can do with them.

This text describes the state-of-the-art in this branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book go on to identify certain subdisciplines and suggest an overall structure or "topology" for the field.

Mathematics education research as a discipline is situated at the confluence of an array of diffuse' seemingly incommensurable' and radically divergent discourses.

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; It thus interrogates and develops theoretical research tools for mathematics education and provides ideas for practice in mathematics classrooms.

This book presents the state-of-the-art research on the teaching and learning of linear algebra in the first year of university, in an international perspective. It provides university teachers in charge of linear algebra courses with a wide range of information from works including theoretical and experimental issues.

Social constructivism is just one view of learning that places emphasis on the social aspects of learning.

An innovative contribution to educational research is to be found in this book. The book addresses the need to generate texts that assist educators and future educators in taking up new research and making sense of it. The book will appeal to teacher educators, student teachers, and mathematics education researchers alike.

This book confronts the issue of how young people can find a way into the world of algebra. It represents multiple perspectives which include an analysis of situations in which algebra is an efficient problem-solving tool, the use of computer-based technologies, and a consideration of the historical evolution of algebra.

This book brings together diverse recent developments exploring the philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics education can be extended.

What does it mean to know mathematics? Understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed - theoretical and practical - and this book seeks to move the debate forward along both dimensions.

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.

A significant driver of recent growth in the use of mathematics in the professions has been the support brought by new technologies. These changes have produced a marked evolution in the professional practice of mathematics, an evolution which has not yet provoked a corresponding adaptation in mathematical education, particularly at school level.

This is a variegated picture of science and mathematics classrooms that challenges a research tradition that converges on the truth. The book is for educational researchers, research students, and practitioners with an interest in optimizing the effectiveness of classrooms as environments for learning.

In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory.

This book discusses mathematics learners in transition and their practices in different contexts; 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.

This book draws together a range of papers by experienced writers in mathematics education who have used the concept of situated cognition in their research within recent years. No other books are available which take this view specifically in mathematics education.

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.

Exploring Probability in School provides a new perspective into research on the teaching and learning of probability.

In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical development of formal mathematical proof was, in fact, a means of estab lishing a communicable "code of conduct" which helped mathematicians make themselves understood in relation to the truth of mathematical statements in a co ordinated and unequivocal way.

This book has been written to fIll a substantial gap in the current literature in mathemat ical education. we have deliberately avoided descriptive statistics as it is a separate area and would have made ideas less coherent and the book excessively long.

It was intended that when Newspeak had been adopted once and for all and Oldspeak forgotten, a heretical thought - that is, a thought diverging from the principles of Ingsoc - should be literally unthink able, at least as far as thought is dependent on words.

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This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university.

The concept of BACOMET developed during a series of meetings held in 1978-79 between the three editors, Bent Christiansen, Geoffrey Howson and Michael Otte, at which we expressed our concern about the contributions from mathematics education as a discipline to teacher education, both as we observed it and as we participated in it.

The concept of BACOMET developed during a series of meetings held in 1978-79 between the three editors, Bent Christiansen, Geoffrey Howson and Michael Otte, at which we expressed our concern about the contributions from mathematics education as a discipline to teacher education, both as we observed it and as we participated in it.

Mathematics is in the unenviable position of being simultaneously one of the most important school subjects for today's children to study and one of the least well understood. Everybody knows how important it is and everybody knows that they have to study it.

Mathematics teaching and learning have been dominated by a concern for the intellectual readiness of the child, debates over rote learning versus understanding and, recently, mathematical processes and thinking.

This timely volume raises issues concerning the nature of school mathematics and mathematics at work, and the challenges of teaching valuable mathematics in school and providing appropriate training for a variety of careers. It offers lively commentaries on important `hot' topics: transferring knowledge and skill across contexts;