Ernest P. The Philosophy of Mathematics Education Today

Springer, 2018. — 375 p. — (ICME-13 Monographs). — ISBN: 3319777599.This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society in the 21st century? How do students learn mathematics? What have we learnt about mathematics teaching? Applied philosophy can help to answer these and other fundamental questions, and only through an in-depth analysis can the practice of the teaching and learning of mathematics be improved. The book addresses important themes, such as critical mathematics education, the traditional role of mathematics in schools during the current unprecedented political, social, and environmental crises, and the way in which the teaching and learning of mathematics can better serve social justice and make the world a better place for the future.A Plea for a Critical Transformative Philosophy of Mathematics Education
Introduction to the Field
The Philosophy of Mathematics Education: An Overview
The Nature of Mathematics
The Who and What of the Philosophy of Mathematical Practices
The Philosophy of Mathematical Education Between Platonism and the Computer
A Dialogical Conception of Explanation in Mathematical Proofs
The Amalgam of Faith and Reason: Euclid’s Elements and the Scientific Thinker
Critical Mathematics Education
Students’ Foregrounds and Politics of Meaning in Mathematics Education
The Struggle Is Pedagogical: Learning to Teach Critical Mathematics
Some Thoughts on a Mathematics Education for Environmental Sustainability
Epistemological Questions About School Mathematics
The Concept of Culture in Critical Mathematics Education
The Ethics of Mathematics: Is Mathematics Harmful?
Philosophical Theory in Mathematics Education Research
On the Need for Theory of Mathematics Learning and the Promise of ‘Commognition’
On the Roles of Language in Mathematics Education
The Separation of Mathematics from Reality in Scientific and Educational Discourse
Philosophy of/in Teaching, Learning and Doing Mathematics
Mathematics Education Actualized in the Cyberspace: A Philosophical Essay
Making Distinctions: A Phenomenological Exploration in Mathematics Education
Using Rules for Elaborating Mathematical Concepts
Towards a Wider Perspective: Opening a Philosophical Space in the Mathematics Curriculum
Creativity Research in Mathematics Education Simplified: Using the Concept of Bisociation as Ockham’s Razor
Teaching of Velocity in Mathematics Classes—Chances for Philosophical Ideas
Time for Work: Finding Worth-While-Ness in Making Mathematics
Hades—The Invisible Side of Mathematical Thinking
Developing Rules Due to the Use of Family Resemblances in Classroom Communication