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  1.  52
    Social Constructivism as a Philosophy of Mathematics.Paul Ernest - 1997 - Albany, NY, USA: State University of New York Press.
    Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.
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  2.  26
    The Philosophy of Mathematics Education.Paul Ernest - 1991 - Falmer Press.
    Although many agree that all teaching rests on a theory of knowledge, this is an in-depth exploration of the philosophy of mathematics for education, building on the work of Lakatos and Wittgenstein.
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  3.  29
    The Philosophy of Mathematics Education.Michael Cornelius & Paul Ernest - 1991 - British Journal of Educational Studies 39 (3):348.
  4. The Legacy of Lakatos: Reconceptualising the Philosophy of Mathematics.Paul Ernest - 1997 - Philosophia Mathematica 5 (2):116-134.
    Kitcher and Aspray distinguish a mainstream tradition in the philosophy of mathematics concerned with foundationalist epistemology, and a ‘maverick’ or naturalistic tradition, originating with Lakatos. My claim is that if the consequences of Lakatos's contribution are fully worked out, no less than a radical reconceptualization of the philosophy of mathematics is necessitated, including history, methodology and a fallibilist epistemology as central to the field. In the paper an interpretation of Lakatos's philosophy of mathematics is offered, followed by some critical discussion, (...)
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  5.  2
    The Philosophy of Mathematics Education Today.Paul Ernest (ed.) - 2018 - Springer Verlag.
    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 (...)
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  6. The Philosophy of Mathematics, Values, and Kerala Mathematics.Paul Ernest - 2007 - Philosophy of Mathematics Education Journal 20.
  7. Forms of Knowledge in Mathematics and Mathematics Education: Philosophical and Rhetorical Perspectives.Paul Ernest - 2011 - Philosophy of Mathematics Education Journal 26.
  8. Epistemology Plus Values Equals Classroom Image of Mathematics.Paul Ernest - 2008 - Philosophy of Mathematics Education Journal 23.
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  9.  11
    Constructivism, the Psychology of Learning, and the Nature of Mathematics: Some Critical Issues.Paul Ernest - 1993 - Science & Education 2 (1):87-93.
  10. What is ‘First Philosophy’ in Mathematics Education?Paul Ernest - 2013 - Philosophy of Mathematics Education Journal 27.
  11.  8
    The Nature of Mathematics: Towards a Social Constructivist Account.Paul Ernest - 1992 - Science & Education 1 (1):89-100.
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  12. What is Philosophy of Maths Education?Paul Ernest - 2004 - Philosophy of Mathematics Education Journal 18.
     
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  13. John Ernest, A Mathematical Artist.Paul Ernest - 2009 - Philosophy of Mathematics Education Journal 24.
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  14.  14
    Mathematics, Ethics and Purism: An Application of MacIntyre’s Virtue Theory.Paul Ernest - 2020 - Synthese 199 (1-2):3137-3167.
    A traditional problem of ethics in mathematics is the denial of social responsibility. Pure mathematics is viewed as neutral and value free, and therefore free of ethical responsibility. Applications of mathematics are seen as employing a neutral set of tools which, of themselves, are free from social responsibility. However, mathematicians are convinced they know what constitutes good mathematics. Furthermore many pure mathematicians are committed to purism, the ideology that values purity above applications in mathematics, and some historical reasons for this (...)
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  15.  28
    Values and Mathematics: Overt and Covert.Paul Ernest - 2016 - Culture and Dialogue 4 (1):48-82.
    This paper argues that mathematics is imbued with values reflecting its production from human imagination and dialogue. Epistemological, ontological, aesthetic and ethical values are specified, both overt and covert. Within the culture of mathematics, the overt values of truth, beauty, purity, universalism, objectivism, rationalism and utility are identified. In contrast, hidden within mathematics and its culture are the covert values of objectism and ethics, including the specific ethical values of separatism, openness, fairness and democracy. Some of these values emerge from (...)
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  16.  75
    Review of David Bloor's Knowledge and Social Imagery. [REVIEW]Paul Ernest - 1993 - Philosophia Mathematica 1 (1).
  17. Editorial: Teaching and the Nature of Mathematics.Dennis Almeida & Paul Ernest - 1996 - Philosophy of Mathematics Education Journal 9.
     
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  18. Are There Revolutions In Mathematics?Paul Ernest - 1992 - Philosophy of Mathematics Education Journal 4.
  19. Brian Rotman's Ad Infinitum. [REVIEW]Paul Ernest - 1994 - Philosophy of Mathematics Education Journal 7.
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  20. Conversation as a Metaphor.Paul Ernest - 2003 - Philosophy of Mathematics Education Journal 17.
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  21. Can You Identify The Source Of This Text.Paul Ernest - 1997 - Philosophy of Mathematics Education Journal 10.
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  22. David Jardine's Speaking with a Boneless Tongue. [REVIEW]Paul Ernest - 1994 - Philosophy of Mathematics Education Journal 7.
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  23. Editorial.Paul Ernest - 1999 - Philosophy of Mathematics Education Journal 11.
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  24. In Response to Professor Zheng.Paul Ernest - 1994 - Philosophy of Mathematics Education Journal 7.
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  25. Introducing "Speaking with a Boneless Tongue".Paul Ernest - 2002 - Philosophy of Mathematics Education Journal 16.
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  26. Knowledge And Social Imagery. [REVIEW]Paul Ernest - 1992 - Philosophy of Mathematics Education Journal 6.
     
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  27. Mathematical Activity and Rhetoric: A Semiotic Analysis of an Episode of Mathematical Activity.Paul Ernest - 1997 - Philosophy of Mathematics Education Journal 10.
  28. Mathematics And The Image Of Reason. [REVIEW]Paul Ernest - 1992 - Philosophy of Mathematics Education Journal 6.
  29. Mathematics Education And Language: Interpreting Hermeneutics And Post-Structuralism. [REVIEW]Paul Ernest - 1997 - Philosophy of Mathematics Education Journal 10.
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  30. Mathematics Education Ideologies and Globalization.Paul Ernest - 2007 - Philosophy of Mathematics Education Journal 21.
     
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  31. Nominalism and Conventionalism in Social Constructivism.Paul Ernest - 2006 - Philosophy of Mathematics Education Journal 19.
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  32. New Thinking On The Nature Of Mathematics. [REVIEW]Paul Ernest - 1992 - Philosophy of Mathematics Education Journal 6.
  33. Post-Modernism: A Comment.Paul Ernest - 1991 - Philosophy of Mathematics Education Journal 3.
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  34. Postmodern Mathematics Education: Script For Animated Movie Discussion.Paul Ernest & Allan Tarp - 2013 - Philosophy of Mathematics Education Journal 27.
     
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  35. Questioning the Gender Problem in Mathematics.Paul Ernest - 2007 - Philosophy of Mathematics Education Journal 20.
  36. Restoring Discipline To The Class.Paul Ernest - 1999 - Philosophy of Mathematics Education Journal 11.
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  37. Revolutions In Mathematics. [REVIEW]Paul Ernest - 1992 - Philosophy of Mathematics Education Journal 6.
  38. Review Of Collected Papers Of C. S. Peirce On Cd-Rom. [REVIEW]Paul Ernest - 1997 - Philosophy of Mathematics Education Journal 10.
     
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  39. Reflections On The Ethnomathematics Discussion.Paul Ernest - 1992 - Philosophy of Mathematics Education Journal 6.
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  40. Response To 'Commentary On Dehaene'.Paul Ernest - 1997 - Philosophy of Mathematics Education Journal 10.
     
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  41. Social Epistemology. [REVIEW]Paul Ernest - 1992 - Philosophy of Mathematics Education Journal 6.
     
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  42. Sal Restivo Et Al's Math Worlds. [REVIEW]Paul Ernest - 1994 - Philosophy of Mathematics Education Journal 7.
     
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  43. Towards a Philosophy of Critical Mathematics Education. [REVIEW]Paul Ernest - 1996 - Philosophy of Mathematics Education Journal 9.
     
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  44. Texts And The Objects Of Mathematics.Paul Ernest - 1997 - Philosophy of Mathematics Education Journal 10.
     
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  45. The Future Of British Mathematics Teacher Education.Paul Ernest - 1992 - Philosophy of Mathematics Education Journal 4.
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  46. Teun Koetsier's Lakatos' Philosophy of Mathematics. [REVIEW]Paul Ernest - 1994 - Philosophy of Mathematics Education Journal 7.
     
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  47. The Mythic Quest of the Hero: Steps Towards a Semiotic Analysis of Mathematical Proof.Paul Ernest - 1997 - Philosophy of Mathematics Education Journal 10.
     
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  48. The Popular Image Of Mathematics.Paul Ernest - 1992 - Philosophy of Mathematics Education Journal 4.
     
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  49. The Principle Of Economy In The Learning And Teaching Of Mathematics, By David P. Hewitt. [REVIEW]Paul Ernest - 1995 - Philosophy of Mathematics Education Journal 8.
     
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  50. The Scope and Limits of Critical Mathematics Education.Paul Ernest - 2010 - Philosophy of Mathematics Education Journal 25.
     
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1 — 50 / 68