Bücher der Reihe Mathematics Education Library

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.

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.

It gathers texts which give the best presentation of the principles and key concepts of the Theory of Didactical Situations that Guy Brousseau developed in the period from 1970 to 1990.

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;

This book presents an institutional study located at the intersection mathematics education and vocational education.

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

The launch ofa new book series is always a challenging eventn ot only for the Editorial Board and the Publisher, but also, and more particularly, for the first author.

This book is a product of love and respect. Their invitation to me to write this Preface e- bles me to pay my respects to the great man, although I am probably incurring his wrath for writing a Preface for his book without his permission!

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 pivot of their theory is the idea of webbing, which explains how someone struggling with a new mathematical idea can draw on supportive knowledge, and reconciles the individual's role in mathematical learning with the part played by epistemological, social and cultural forces.

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.

Based on interviews, observations and surveys conducted in Australia, South Africa, Northern Ireland, Canada and Brunei, this book investigates the experiences and views of students and graduates in the process of seeking their identities as mathematicians.

This book presents a research focus on diversity and inclusivity in mathematics education. If we in mathematics education seek to challenge that status quo, more research must be focussed not just on diversity but also on the inclusivity, of practices in mathematics education.

This book presents a research focus on diversity and inclusivity in mathematics education. If we in mathematics education seek to challenge that status quo, more research must be focussed not just on diversity but also on the inclusivity, of practices in mathematics education.

This book explores the option of building on symbolizing, modeling and tool use as personally meaningful activities of students. and the dimension of the theoretical framework of the researcher: varying from constructivism, to activity theory, cognitive psychology and instructional-design theory.

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.

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.

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 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;

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 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.

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.

This book explores the option of building on symbolizing, modeling and tool use as personally meaningful activities of students. and the dimension of the theoretical framework of the researcher: varying from constructivism, to activity theory, cognitive psychology and instructional-design theory.

Connecting relevant research on visualization and mathematics education, this volume explores the role of visual thinking and reasoning in mathematical concepts, processes, and symbols, among learners. These studies highlight areas of improvement in math education.

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 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.