Philosophy of Mathematics Education Today

• PREFACE.- INTRODUCTION TO THE FIELD.- The Philosophy of Mathematics Education: An Overview.- THE NATURE OF MATHEMATICS.- Philosophy of Mathematical Practice: What is it All About?.- 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.- Mathematics Education Actualized in the Cyberspace: a philosophical essay.- PHILOSOPHY OF/IN TEACHING, LEARNING AND DOING MATHEMATICS.- 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.- Ockham Razor of Creativity Research in Mathematics Education.- Teaching of Velocity in Mathematics Classes – Chances for Philosophical Ideas.- Time for Work: Finding Worth-While-Ness in Making Mathematics.- The Invisible Side of Mathematical Thinking: A Philosophical Approach.- Developing Rules Due to the Use of Family Resemblances in Classroom Communication.- BRIEF BIOGRAPHIES OF AUTHORS.

“This book should be a valuable reference for PhD fellows and their supervisors—and anyone interested in the nature and impact of mathematics education. … I am confident that The Philosophy of Mathematics Education Today will stimulate reflection and reaction, and inform a broad range of readers, including experienced researchers in mathematics education and mathematics, mathematics teachers, PhD advisors, and fellows.” (Simon Goodchild, Educational Studies in Mathematics, Vol. 103, 2020)