Philosophy of Mathematics Education Journal

Philosophy of Mathematics Education Journal 43

No. 43 (March 2026)

ISSN 1465-2978 (Online)

Founding Editor: Paul Ernest

Associate Editor: Christopher H. Dubbs

Dedicated to Roberto Ribeiro Baldino

CONTENTS

Roberto Ribeiro Baldino (1938–2025) A Life of Encounter, Critique, and Uncompromising Scholarship

Roberto Ribeiro Baldino and Tânia Cristina Baptista Cabral  School and Surplus-Value: Contribution from a Third-World Country

Sean Sayers, Paul Ernest and others  Dialogue on Dialectics with Reference to Mathematics

Dennis Müller  The Ethical Turn in Mathematics Education

Yasmine Abtahi  In the Teaching of Mathematics part of Ethical Responsibility is Toward a Shared Sense of Solidarity and Commitment

Yasmine Abtahi  Is Democracy that Kills Democracy Really Democracy?

João Akio Ribeiro Yamaguchi  Uptake Justice in Mathematics Education: Proof, Recognition, and the Politics of Evidence

Hilde Henriksen and Ragnhild Johanne Rensaa  A Hidden – But Influential – Motivation for Learning in University Mathematics Studies

Kate Raymond and Melissa Gunter  The Science of Math Reconsidered: A Critical Examination of Foundational Claims

Marshall Gordon  Promoting Mathematics Students’ Agency

Marshall Gordon  Interview with Carlo Cellucci on his Heuristic Philosophy of Mathematics

Constanta Olteanu, Anna Lövström and Monica Jonsson Didactic Practices in Preservice Teachers’ Collaborative Work with Problem Solving: A Variation Theory Perspective

Luiz Carlos Leal Junior  Archaeogenealogy of Problem Solving in Mathematics: Articulations between Foucault, Spinoza, and Nietzsche on Affect, Potency, and Cognition

Jim Gleason and Sadie Keller  Multifaceted Conceptions of Mathematics among Mathematics, Engineering, and Economics Faculty

Felix Lensing and Thorsten Scheiner  On the Possibility of Mathematical Abstraction

Su Hun Kang  Exploring the Educational Potential of Symmetry in Secondary Mathematics

Paul Ernest  Both Sacred and Profane: The Unauthorised Biography of Number

Paul Ernest  Questions for a Social Practice Philosophy of Mathematics Based on Later Wittgenstein

Paul Ernest and Alice Ink  Shame and the Axiology of Mathematics


Aim of the Journal  The aim is to foster awareness of philosophical aspects of mathematics education and mathematics, understood broadly to include most kinds of theoretical reflection and research in mathematics education; to freely disseminate new thinking and to encourage informal communication, dialogue and international co-operation between teachers, scholars, researchers and others engaged in such research and reflection.

Editorial policy. The editorial hand is used very lightly.  This is an international refereed journal which aims to stimulate the sharing of ideas for no reason other than an interest in these ideas and love of discussion among its contributors and readers. Please send any items for inclusion to the editor as a virus-checked attachment in MS Word or compatible formats. We will convert to PDF for publication but cannot edit or format PDFs. Many item types are welcome including papers, short contributions, letters, discussions, provocations, reactions, or reviews. Graduate students are warmly invited to submit assignments and theses for inclusion in this journal, to make available otherwise inaccessible resources for the benefit of the research community in mathematics education and/or the philosophy of mathematics. Authors may submit for publication papers that have been published elsewhere provided they have permission from the original publisher/editor, and previous publications details must be included in the paper. Note that academic ethics requires that papers submitted for consideration elsewhere are not submitted here during the processes of refereeing/acceptance elsewhere.

Format of submissions: Authors are requested to format their submissions to look like previously published papers and a Template is attached here – All submissions must be electronic, in MS Word compatible formats (not PDF) with full author details.

Refereeing: All papers are submitted to peer-review on which basis the decision is made whether to accept, request revisions or reject. This is an open review process and author names are not blinded or concealed. Please the full paper, ready for publication. The editor’s advice may be sought in advance of submission (p.ernest @ exeter.ac.uk). If you have not had acknowledgement of your submission within one or two weeks please email the editor.

Copyright Notice.  All materials published herein remain copyright of the named authors, or of the editor if unattributed. Permission is given to freely copy the journal contents on a not-for-profit basis, provided full credit is given to the author and the journal, and the integrity of papers is preserved.

Fees. No fees are charged to authors or readers under any circumstances. This is a fully open access journal. Other institutions may, with permission, mirror this site provided that no fees are charged ever.

Acknowledgement The journal is made possible by the generous support of University of Exeter Graduate School of Education STEM Research Centre (CRISTME). Special thanks are due to Jane Tanner.

Founding Editor:  Emeritus Professor Paul Ernest, University of Exeter, Graduate School of Education, Exeter, U.K.  No post to this address please.  Contact: P.Ernest @ exeter.ac.uk. (remove the spaces)