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Approaches to Algebra
In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on …
Didactics of Mathematics as a Scientific Discipline
Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of …
Towards a Philosophy of Critical Mathematics Education
In Nineteen Eighty-Four George Orwell gives a description of different forms of suppression. We learn about the telescreens placed everywhere, through which it is possible for …
Mathematics Education and Subjectivity
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 …
Mathematics for Tomorrow’s Young Children
Social constructivism is just one view of learning that places emphasis on the social aspects of learning. Other theoretical positions, such as activity theory, also emphasise the …
Fractions in Realistic Mathematics Education
Radical Constructivism in Mathematics Education
Mathematics is the science of acts without things - and through this, of things one can define by acts. 1 Paul Valéry The essays collected in this volume form a mosaik of theory, …
Transitions Between Contexts of Mathematical Practices
This book focuses attention on mathematics learners in transition and on their practices in different contexts; on the institutional and socio-cultural framing of the transition …
Teaching Mathematics in Multilingual Classrooms
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 …
Chance Encounters: Probability in Education
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 …
Advanced Mathematical Thinking
Explores the psychology of thinking about post-secondary level mathematics, suggesting that the way it is taught does not correspond to the way it is learned. Addressed to …
Becoming a Mathematician
This book considers the views of participants in the process of becoming a mathematician, that is, the students and the graduates. This book investigates the people who carry out …