Mathematics is the science of acts without things - and through this, of things one can define by acts. 1 Paul Valery The essays collected in this volume form a mosaik of theory, research, and practice directed at the task of spreading mathematical knowledge. 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. Parents, teachers, and researchers in the...
Mathematics is the science of acts without things - and through this, of things one can define by acts. 1 Paul Valery The essays collected in this vol...
On the occasion of the celebration of Twenty Years of Didactique of Ma- ematics in France, Jeremy Kilpatrick commented that though the works of Guy Brousseau are known through texts referring to them or mentioning their existence, the original texts are unknown, or known only with difficulty, in the non-Fren- speaking world. With very few exceptions, what has been available until now have been interpretations of the works of Brousseau rather than the works themselves. It was in response to this need that two of us, in the euphoria of an unforgettable Mexican evening at the time of the 1990...
On the occasion of the celebration of Twenty Years of Didactique of Ma- ematics in France, Jeremy Kilpatrick commented that though the works of Guy Br...
This book is centrally concerned with how mathematics education is represented and how we understand mathematical teaching and learning with view to changing them. It considers teachers, students and researchers. It explores their mathematical thinking and the concepts that this thought produces. But also how these concepts acquire cultural layers that mediate our apprehension. The book examines some of the linguistic and socio-cultural filters that influence mathematical understanding. But above all it introduces some contemporary theories of human subjectivity, in which subjectivity is...
This book is centrally concerned with how mathematics education is represented and how we understand mathematical teaching and learning with view t...
Language can be simultaneously both a support and a hindrance to students learning of mathematics. When students have sufficient fluency in the mathematics register so that they can discuss their ideas, they become chiefs who are able to think mathematically. However, learning the mathematics register of an Indigenous language is not a simple exercise and involves many challenges not only for students, but also for their teachers and the wider community. Collaborating to Meet Language Challenges in Indigenous Mathematics Classrooms identifies some of the challenges political, mathematical,...
Language can be simultaneously both a support and a hindrance to students learning of mathematics. When students have sufficient fluency in the mathem...
This book explores the connection between the ways people speak in mathematics classrooms and their opportunities to learn mathematics. The words spoken, heard, written and read in mathematics classrooms shape students sense of what mathematics is and of what people can do with mathematics. The authors employ multiple perspectives to consider the means for transformative action with respect to increasing opportunities for traditionally marginalized students to form mathematical identities that resonate with their cultural, social, linguistic, and political beings.
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This book explores the connection between the ways people speak in mathematics classrooms and their opportunities to learn mathematics. The words s...
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.
Based on interviews, observations and surveys conducted in Australia, South Africa, Northern Ireland, Canada and Brunei, this book investigates the ex...
Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb s own retrospective...
Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been dev...
This book examines issues of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing approaches to characterizing, assessing and developing mathematical knowledge for teaching.
This book examines issues of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by ...
This book has been written to fIll a substantial gap in the current literature in mathemat ical education. Throughout the world, school mathematical curricula have incorporated probability and statistics as new topics. There have been many research papers written on specifIc aspects of teaching, presenting novel and unusual approaches to introducing ideas in the classroom; however, there has been no book giving an overview. Here we have decided to focus on probability, making reference to inferential statistics where appropriate; we have deliberately avoided descriptive statistics as it is a...
This book has been written to fIll a substantial gap in the current literature in mathemat ical education. Throughout the world, school mathematical c...
