# profile

# Professor Paul Ernest

## Emeritus Professor

** **

**Office hours:**

**As Emeritus Professor I am no longer available in my office except by appointment. If you wish make contact please email me.**

## Overview

My academic starting point is reflections about mathematics; mathematics in education, society and its philosophical significance. I'm also committed to a critical way of exploring mathematics, pedagogy and society. I have always loved exploring new ideas and the last decade has taken me into semiotics, ethics, globalisation, critical mathematics education, sociology, ontology and other areas a little way from maths. I'm committed to interpreting mathematics, education, and all knowledge as materially based social practices / social constructions. Outside of work I'm interested in cinema, literature (finally finished Proust, Knausgaard's memoirs), food and wine, the gym, scuba diving (especially diving with sharks), travel, music (from Dufay to Dylan), family and friends.

### Qualifications

- BSc in Mathematics and Logic (2i Hons.), Sussex University
- MSc in Mathematics (Distinction), London University
- Teacher Qualification (No. 76/14571), Department of Education and Science
- PhD in Philosophy of Mathematics, London University

### Career

- Emeritus Professor of the Philosophy of Mathematics Education, University of Exeter, since 2005
- Visiting Research Professor, Brunel University, London
- Visiting Professor of Mathematics Education, Hope University, Liverpool
- Visiting Professor of Mathematics Education, University of Oslo, Norway
- Visiting Professor of Mathematics Education, University College of Trondheim (HiST), Trondheim, Norway
- Professor of the Philosophy of Mathematics Education, from 1998 (full professor) University of Exeter. First appointed to University of Exeter 1984
- Lecturer in Education, University of the West Indies, Jamaica
- Lecturer II in Mathematics, Bedford College of Higher Education, Bedford
- Lecturer II in Mathematics, Homerton College, Cambridge
- Teacher of Mathematics, Hampstead Comprehensive School, London

### Links

### Research group links

## Publications

Key publications | Publications by category | Publications by year

### Publications by category

### Books

**Ernest P, Skovsmose O, van Bendegem JP, Bicudo M, Miarka R, Kvasz L, Moeller R**(2016).

*The Philosophy of Mathematics Education.*

### Journal articles

**Ernest P**(2021). Mathematics, ethics and purism: an application of MacIntyre’s virtue theory.

*Synthese*,

*199*(1-2), 3137-3167. Abstract.

**Ernest P**(2016). A Dialogue on the Ethics of Mathematics.

*Mathematical Intelligencer*,

*38*(3), 69-77.

**Ernest P**(2016). The problem of certainty in mathematics.

*Educational Studies in Mathematics*,

*92*(3), 379-393. Abstract.

**Ernest P**(2016). The unit of analysis in mathematics education: bridging the political-technical divide?.

*Educational Studies in Mathematics*,

*92*(1), 37-58. Abstract.

**Ernest P**(2016). Values and Mathematics: Overt and Covert.

*Culture and Dialogue*,

*4*(1), 48-82.

**Koshy V, Ernest P, Casey R**(2009). Mathematically Gifted and Talented Learners: Theory and Practice.

*International Journal for Mathematical Education in Science and Technology*,

*40*(2), 213-228. Abstract.

**Ernest, P.**(2008). Towards a Semiotics of Mathematical Text.

*For the Learning of Mathematics*

**Ernest P**(2008). Towards a Semiotics of Mathematical Text (Part 1).

*For the Learning of Mathematics*,

*28*(1), 2-8.

**Ernest P**(2008). Towards a Semiotics of Mathematical Text (Part 2).

*For the Learning of Mathematics*,

*28*(2), 39-47.

**Ernest P**(2008). Towards a Semiotics of Mathematical Text, Part 3.

*For the Learning of Mathematics*,

*28*(3).

**Ernest P**(2006). A semiotic perspective of mathematical activity: the case of number.

*Educational Studies in Mathematics*,

*61*(1), 67-101.

**Ernest, P.**(2006). Nominalism and Conventionalism in Social Constructivism.

*Philosophica*,

*74*, 3-29.

**Ernest P**(2006). Reflections on theories of learning.

*ZDM - International Journal on Mathematics Education*,

*38*(1), 3-7. Abstract.

**Ernest, P.**(2005). What are the aims of teaching mathematics?.

*Mathematics in School*,

*34*(1), 28-29.

**Ernest, P.**(2004). La Conversacion como una metafora para las matematicas.

*Revista de Didactica de las Matematicas*,

*37*(2), 81-91.

**Ernest, P.**(2004). Son las matematicas descubiertas o inventadas?.

*Revista de Didactica de las Matematicas*,

*37*(2), 25-31.

**Ernest, P.**(2004). What is the Philosophy of Mathematics Education?.

*Philosophy of Mathematics Education Journal*,

*18*

**Ernest, P.**(2003). Conversation as a Metaphor for Mathematics and Learning.

*Philosophy of Mathematics Education Journal*,

*17*

**Ernest, P.**(2003). Why teach mathematics?.

*Nieuwe Wiskrant*,

*23*(2), 12-16.

**Ernest P**(2002). Communities of practice: Learning, meaning, and identity.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*72*, 460-463. Author URL.

**Ernest, P.**(2002). Empowerment in Mathematics Education.

*Philosophy of Mathematics Education Journal*( 15), 1-16.

**Ernest P**(1999). Forms of Knowledge in Mathematics and Mathematics Education: Philosophical and Rhetorical Perspectives.

*Educational Studies in Mathematics*,

*38*(1-3), 67-83.

**Ernest P**(1999). Forms of knowledge in mathematics and mathematics education: Philosophical and rhetorical perspectives.

*Educational Studies in Mathematics*,

*38*(1-3), 67-83. Abstract.

**Ernest P**(1998). Mathematics teachers in transition.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*68*, 458-460. Author URL.

**Ernest P**(1996). Towards a philosophy of critical mathematics education - Skovsmose,O.

*JOURNAL OF PHILOSOPHY OF EDUCATION*,

*30*(3), 488-493. Author URL.

**Ernest P**(1994). Constructivism: Which Form Provides the Most Adequate Theory of Mathematics Learning?.

*Journal für Mathematik-Didaktik: Zeitschrift der Gesellschaft für Didaktik der Mathematik (GDM)*,

*15*(3), 327-342. Abstract.

**ERNEST P**(1994). STREET MATHEMATICS AND SCHOOL MATHEMATICS - NUNES,T, SCHLEIMANN,AD, CARRAHER,DW.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*64*, 501-502. Author URL.

**Ernest P**(1993). Constructivism, the psychology of learning, and the nature of mathematics: Some critical issues.

*Science & Education*,

*2*(1), 87-93. Abstract.

**ERNEST P**(1993). EPISTEMOLOGICAL FOUNDATIONS OF MATHEMATICAL KNOWLEDGE - STEFFE,LP.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*63*, 373-374. Author URL.

**ERNEST P**(1993). SITUATED LEARNING - LEGITIMATE PERIPHERAL PARTICIPATION - LAVE,J, WENGER,E.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*63*, 192-193. Author URL.

**Ernest P**(1992). The nature of mathematics: Towards a social constructivist account.

*Science and Education*,

*1*(1), 89-100. Abstract.

**Ernest P**(1990). The meaning of mathematical expressions: Does philosophy shed any light on psychology?.

*British Journal for the Philosophy of Science*,

*41*(4), 443-460. Abstract.

**Ernest P**(1989). Head of the Secondary School Mathematics Department: a demanding role.

*School Organisation*,

*9*(3), 319-337.

**ERNEST P**(1989). THE KNOWLEDGE, BELIEFS AND ATTITUDES OF THE MATHEMATICS TEACHER - a MODEL.

*JOURNAL OF EDUCATION FOR TEACHING*,

*15*(1), 13-33. Author URL.

**ERNEST P**(1989). THE PRACTICE OF MATHEMATICS - SOLOMON,Y.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*59*, 266-270. Author URL.

**ERNEST P**(1987). A MODEL OF THE COGNITIVE MEANING OF MATHEMATICAL EXPRESSIONS.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*57*, 343-370. Author URL.

**Ernest P**(1986). Computer gaming for the practice of transformation geometry skills.

*Educational Studies in Mathematics*,

*17*(2), 205-207.

**Ernest P**(1986). Integration in mathematics and the assessment of integrative skills in mathematics.

*International Journal of Mathematical Education in Science and Technology*,

*17*(1), 103-113. Abstract.

**Ernest P**(1985). The number line as a teaching aid.

*Educational Studies in Mathematics*,

*16*(4), 411-424. Abstract.

### Chapters

**Ernest P**(2018). The Ethics of Mathematics: is Mathematics Harmful?. In (Ed)

*The Philosophy of Mathematics Education Today*, 187-216.

**Ernest P**(2018). The Philosophy of Mathematics Education: an Overview. In (Ed)

*The Philosophy of Mathematics Education Today*, 13-35.

**Ernest P, Kvasz L, Bicudo M, Möller R, Skovsmose O**(2017). Topic Study Group No. 53: Philosophy of Mathematics Education. In (Ed)

*Proceedings of the 13th International Congress on Mathematical Education*, 623-625.

**Ernest P**(2016). Paradox? the Mathematics of Space-Time and the Limits of Human Understanding. In (Ed)

*Space, Time and the Limits of Human Understanding*, 253-270.

**Ernest P**(2015). Postmodern Mathematics. In (Ed)

*The Proceedings of the 12th International Congress on Mathematical Education*, 605-608.

**Ernest P**(2015). The philosophy of mathematics education: Stephen Lerman’s contributions. In (Ed)

*Shifts in the Field of Mathematics Education: Stephen Lerman and the Turn to the Social*, 203-213. Abstract.

**Ernest P**(2014). Policy Debates in Mathematics Education. In (Ed)

*Encyclopedia of Mathematics Education*, 480-484.

**Ernest P**(2009). Commentary 2 on Reflections on Theories of Learning. In (Ed)

*Theories of Mathematics Education*, 53-61.

**Ernest P**(2009). Reflections on Theories of Learning. In (Ed)

*Theories of Mathematics Education*, 39-47.

**Ernest, P.**(2008). Epistemological Issues in the Internationalization and Globalization of Mathematics Education. In Atweh B (Ed)

*Internationalization and Globalization in Mathematics Education*, New York: Springer.

**Ernest, P.**(2008). Globalization, Ideology and Research in Mathematics Education. In Vithal R, Setati M, Malcolm C (Eds.)

*Methodologies for Researching Mathematics, Science and Technological Education in Societies in Transition*, Cape Town, South Africa:.

**Ernest, P.**(2008). Opening the mathematics text: What does it say?. In de E, Freitas K, Nolan (Eds.)

*Opening the research text: Critical insights and in(ter)ventions into mathematics education*, New York: SUNY Press.

**Ernest, P.**(2006). Relevans och Nytta. In Boeson J, Emanuelsson G, Walby A, Walby K (Eds.)

*Lara och undervisa matematik internationella perspectiv*, Göteborg: National Center for Mathematics Education, 165-178.

**Ernest, P.**(2006). Scientific Knowledge: Philosophy and Science of Education. In Restivo S (Ed)

*Science, Technology, and Society: a Handbook of Social Science Research*, Oxford: Oxford University Press, 112-119.

**Ernest, P.**(2006). What might knowing maths mean?. In Copes L (Ed)

*Educational Transformations: Changing our lives through mathematics*, Bloomington, Indiana: Indiana University Press, 436-450.

**Ernest P**(2005). Agency and Creativity in the Semiotics of Learning Mathematics. In (Ed)

*Activity and Sign*, 23-34.

**Ernest, P.**(2005). Agency and Creativity in the Semiotics of Learning Mathematics. In Hoffmann M, Lenhard J, Seeger F (Eds.)

*Activity and Sign - Grounding Mathematics Education (Festschrift for Michael Otte)*, New York: Springer, 23-34.

**Ernest, P.**(2005). Forward. In Singh P, Lim CS (Eds.)

*Improving the Teaching and Learning of Mathematics: from Research to Practice*, Kuala Lumpur: Malaysian University of Technology, 3-7.

**Ernest P**(2004). Postmodernism and the Subject of Mathematics. In Walshaw M (Ed)

*Mathematics Education within the Postmodern*, Information Age Publishing, 15-33.

**Ernest P**(2004). Postmodernity and social research in mathematics education. In Valero P, Zevenbergen R (Eds.)

*Researching the Socio-political Dimensions of Mathematics Education: Issues of Power in Theory and Methodology*, Kluwer Academic Press, 65-84.

**Ernest, P.**(2004). Relevance Versus Utility: Some ideas on what it means to know. In Clarke B, Clarke DM, Emanuelsson G, Johansson B, Lambdin DV, Lester FK, Wallby A, Wallby K (Eds.)

*International Perspectives on Learning and Teaching Mathematics*, Gothenburg: National Center for Mathematics Education, 313-332.

**Ernest P**(2003). The Epistemic Subject in Mathematical Activity. In Anderson M, Saenz-Ludlow A, Zellweger S, Cifarelli VV (Eds.)

*Educational Perspectives on Mathematics as Semiosis: from Thinking to Interpreting to Knowing*, Legas Publishing, 81-106.

**Ernest, P.**(2003). The Mathematical Attitudes, Beliefs and Ability of Students. In LTSN, Maths, Team (Eds.)

*Maths for Engineering and Science*, -: University of Birmingham, 4-5.

**Ernest, P.**(2001). Constructivism. In Grinstein LS, Lipsey SJ (Eds.)

*Encyclopedia of Mathematics Education*, New York and London: Routledge/Falmer, 145-148.

**Ernest, P.**(2001). Critical Mathematics Education. In Gates P (Ed)

*Issues in Mathematics Teaching*, -: Falmer/Routledge, 277-293.

**Ernest, P.**(2001). Empowerment in Mathematics Education. In Wong KY, Tairab HT, Clements MA (Eds.)

*Energising Science, Mathematics and Technical Education for All*, Brunei: Brunei University, 123-137.

**Ernest, P.**(2001). Forms of Knowledge in Mathematics and Mathematics Education: Philosophical and Rhetorical Perspectives. In Tirosh D (Ed)

*Forms of Mathematical Knowledge Learning and Teaching with Understanding*, Dordrecht: Kluwer Academic Publishers, 125-143.

**Ernest, P.**(2001). Introduction. In Goodchild S (Ed)

*Students' Goals: a Case Study of Activity in a Mathematics Classroom*, Oslo: Caspar Forlag, 7-9.

**Ernest, P.**(2001). Spiral learning. In Grinstein LS, Lipsey SJ (Eds.)

*Encyclopedia of Mathematics Education*, New York and London: Falmer/Routledge, 669-670.

**Ernest P**(1998). A Postmodern Perspective on Research in Mathematics Education. In (Ed)

*Mathematics Education as a Research Domain: a Search for Identity*, 71-85.

**Ernest P**(1998). A Postmodern Perspective on Research in Mathematics Education. In (Ed)

*Mathematics Education as a Research Domain: a Search for Identity*, 71-85.

**Ernest P**(1992). Problem Solving: its Assimilation to the Teachers's Perspective. In (Ed)

*Mathematical Problem Solving and New Information Technologies*, 287-300.

### Conferences

**Ernest P**(2016). Mathematics and Values. Author URL.

**Ernest, P.**(2004). Experiencing research practice in pure mathematics in a teacher training context.

### Publications by year

### 2021

**Ernest P**(2021). Mathematics, ethics and purism: an application of MacIntyre’s virtue theory.

*Synthese*,

*199*(1-2), 3137-3167. Abstract.

### 2018

**Ernest P**(2018). The Ethics of Mathematics: is Mathematics Harmful?. In (Ed)

*The Philosophy of Mathematics Education Today*, 187-216.

**Ernest P**(2018). The Philosophy of Mathematics Education: an Overview. In (Ed)

*The Philosophy of Mathematics Education Today*, 13-35.

### 2017

**Ernest P, Kvasz L, Bicudo M, Möller R, Skovsmose O**(2017). Topic Study Group No. 53: Philosophy of Mathematics Education. In (Ed)

*Proceedings of the 13th International Congress on Mathematical Education*, 623-625.

### 2016

**Ernest P**(2016). A Dialogue on the Ethics of Mathematics.

*Mathematical Intelligencer*,

*38*(3), 69-77.

**Ernest P**(2016). Mathematics and Values. Author URL.

**Ernest P**(2016). Paradox? the Mathematics of Space-Time and the Limits of Human Understanding. In (Ed)

*Space, Time and the Limits of Human Understanding*, 253-270.

**Ernest P, Skovsmose O, van Bendegem JP, Bicudo M, Miarka R, Kvasz L, Moeller R**(2016).

*The Philosophy of Mathematics Education.*

**Ernest P**(2016). The problem of certainty in mathematics.

*Educational Studies in Mathematics*,

*92*(3), 379-393. Abstract.

**Ernest P**(2016). The unit of analysis in mathematics education: bridging the political-technical divide?.

*Educational Studies in Mathematics*,

*92*(1), 37-58. Abstract.

**Ernest P**(2016). Values and Mathematics: Overt and Covert.

*Culture and Dialogue*,

*4*(1), 48-82.

### 2015

**Ernest P**(2015). Postmodern Mathematics. In (Ed)

*The Proceedings of the 12th International Congress on Mathematical Education*, 605-608.

**Ernest P**(2015). The philosophy of mathematics education: Stephen Lerman’s contributions. In (Ed)

*Shifts in the Field of Mathematics Education: Stephen Lerman and the Turn to the Social*, 203-213. Abstract.

### 2014

**Ernest P**(2014). Policy Debates in Mathematics Education. In (Ed)

*Encyclopedia of Mathematics Education*, 480-484.

### 2009

**Ernest P**(2009). Commentary 2 on Reflections on Theories of Learning. In (Ed)

*Theories of Mathematics Education*, 53-61.

**Koshy V, Ernest P, Casey R**(2009). Mathematically Gifted and Talented Learners: Theory and Practice.

*International Journal for Mathematical Education in Science and Technology*,

*40*(2), 213-228. Abstract.

**Ernest P**(2009). Reflections on Theories of Learning. In (Ed)

*Theories of Mathematics Education*, 39-47.

### 2008

**Ernest, P.**(2008). Epistemological Issues in the Internationalization and Globalization of Mathematics Education. In Atweh B (Ed)

*Internationalization and Globalization in Mathematics Education*, New York: Springer.

**Ernest, P.**(2008). Globalization, Ideology and Research in Mathematics Education. In Vithal R, Setati M, Malcolm C (Eds.)

*Methodologies for Researching Mathematics, Science and Technological Education in Societies in Transition*, Cape Town, South Africa:.

**Ernest, P.**(2008). Opening the mathematics text: What does it say?. In de E, Freitas K, Nolan (Eds.)

*Opening the research text: Critical insights and in(ter)ventions into mathematics education*, New York: SUNY Press.

**Ernest, P.**(2008). Towards a Semiotics of Mathematical Text.

*For the Learning of Mathematics*

**Ernest P**(2008). Towards a Semiotics of Mathematical Text (Part 1).

*For the Learning of Mathematics*,

*28*(1), 2-8.

**Ernest P**(2008). Towards a Semiotics of Mathematical Text (Part 2).

*For the Learning of Mathematics*,

*28*(2), 39-47.

**Ernest P**(2008). Towards a Semiotics of Mathematical Text, Part 3.

*For the Learning of Mathematics*,

*28*(3).

### 2006

**Ernest P**(2006). A semiotic perspective of mathematical activity: the case of number.

*Educational Studies in Mathematics*,

*61*(1), 67-101.

**Ernest, P.**(2006). Nominalism and Conventionalism in Social Constructivism.

*Philosophica*,

*74*, 3-29.

**Ernest P**(2006). Reflections on theories of learning.

*ZDM - International Journal on Mathematics Education*,

*38*(1), 3-7. Abstract.

**Ernest, P.**(2006). Relevans och Nytta. In Boeson J, Emanuelsson G, Walby A, Walby K (Eds.)

*Lara och undervisa matematik internationella perspectiv*, Göteborg: National Center for Mathematics Education, 165-178.

**Ernest, P.**(2006). Scientific Knowledge: Philosophy and Science of Education. In Restivo S (Ed)

*Science, Technology, and Society: a Handbook of Social Science Research*, Oxford: Oxford University Press, 112-119.

**Ernest, P.**(2006). What might knowing maths mean?. In Copes L (Ed)

*Educational Transformations: Changing our lives through mathematics*, Bloomington, Indiana: Indiana University Press, 436-450.

### 2005

**Ernest P**(2005). Agency and Creativity in the Semiotics of Learning Mathematics. In (Ed)

*Activity and Sign*, 23-34.

**Ernest, P.**(2005). Agency and Creativity in the Semiotics of Learning Mathematics. In Hoffmann M, Lenhard J, Seeger F (Eds.)

*Activity and Sign - Grounding Mathematics Education (Festschrift for Michael Otte)*, New York: Springer, 23-34.

**Ernest, P.**(2005). Forward. In Singh P, Lim CS (Eds.)

*Improving the Teaching and Learning of Mathematics: from Research to Practice*, Kuala Lumpur: Malaysian University of Technology, 3-7.

**Ernest, P.**(2005). What are the aims of teaching mathematics?.

*Mathematics in School*,

*34*(1), 28-29.

### 2004

**Ernest, P.**(2004). Experiencing research practice in pure mathematics in a teacher training context.

**Ernest, P.**(2004). La Conversacion como una metafora para las matematicas.

*Revista de Didactica de las Matematicas*,

*37*(2), 81-91.

**Ernest P**(2004). Postmodernism and the Subject of Mathematics. In Walshaw M (Ed)

*Mathematics Education within the Postmodern*, Information Age Publishing, 15-33.

**Ernest P**(2004). Postmodernity and social research in mathematics education. In Valero P, Zevenbergen R (Eds.)

*Researching the Socio-political Dimensions of Mathematics Education: Issues of Power in Theory and Methodology*, Kluwer Academic Press, 65-84.

**Ernest, P.**(2004). Relevance Versus Utility: Some ideas on what it means to know. In Clarke B, Clarke DM, Emanuelsson G, Johansson B, Lambdin DV, Lester FK, Wallby A, Wallby K (Eds.)

*International Perspectives on Learning and Teaching Mathematics*, Gothenburg: National Center for Mathematics Education, 313-332.

**Ernest, P.**(2004). Son las matematicas descubiertas o inventadas?.

*Revista de Didactica de las Matematicas*,

*37*(2), 25-31.

**Ernest, P.**(2004). What is the Philosophy of Mathematics Education?.

*Philosophy of Mathematics Education Journal*,

*18*

### 2003

**Ernest, P.**(2003). Conversation as a Metaphor for Mathematics and Learning.

*Philosophy of Mathematics Education Journal*,

*17*

**Ernest P**(2003). The Epistemic Subject in Mathematical Activity. In Anderson M, Saenz-Ludlow A, Zellweger S, Cifarelli VV (Eds.)

*Educational Perspectives on Mathematics as Semiosis: from Thinking to Interpreting to Knowing*, Legas Publishing, 81-106.

**Ernest, P.**(2003). The Mathematical Attitudes, Beliefs and Ability of Students. In LTSN, Maths, Team (Eds.)

*Maths for Engineering and Science*, -: University of Birmingham, 4-5.

**Ernest, P.**(2003). Why teach mathematics?.

*Nieuwe Wiskrant*,

*23*(2), 12-16.

### 2002

**Ernest P**(2002). Communities of practice: Learning, meaning, and identity.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*72*, 460-463. Author URL.

**Ernest, P.**(2002). Empowerment in Mathematics Education.

*Philosophy of Mathematics Education Journal*( 15), 1-16.

### 2001

**Ernest, P.**(2001). Constructivism. In Grinstein LS, Lipsey SJ (Eds.)

*Encyclopedia of Mathematics Education*, New York and London: Routledge/Falmer, 145-148.

**Ernest, P.**(2001). Critical Mathematics Education. In Gates P (Ed)

*Issues in Mathematics Teaching*, -: Falmer/Routledge, 277-293.

**Ernest, P.**(2001). Empowerment in Mathematics Education. In Wong KY, Tairab HT, Clements MA (Eds.)

*Energising Science, Mathematics and Technical Education for All*, Brunei: Brunei University, 123-137.

**Ernest, P.**(2001). Forms of Knowledge in Mathematics and Mathematics Education: Philosophical and Rhetorical Perspectives. In Tirosh D (Ed)

*Forms of Mathematical Knowledge Learning and Teaching with Understanding*, Dordrecht: Kluwer Academic Publishers, 125-143.

**Ernest, P.**(2001). Introduction. In Goodchild S (Ed)

*Students' Goals: a Case Study of Activity in a Mathematics Classroom*, Oslo: Caspar Forlag, 7-9.

**Ernest, P.**(2001). Spiral learning. In Grinstein LS, Lipsey SJ (Eds.)

*Encyclopedia of Mathematics Education*, New York and London: Falmer/Routledge, 669-670.

### 1999

**Ernest P**(1999). Forms of Knowledge in Mathematics and Mathematics Education: Philosophical and Rhetorical Perspectives.

*Educational Studies in Mathematics*,

*38*(1-3), 67-83.

**Ernest P**(1999). Forms of knowledge in mathematics and mathematics education: Philosophical and rhetorical perspectives.

*Educational Studies in Mathematics*,

*38*(1-3), 67-83. Abstract.

### 1998

**Ernest P**(1998). A Postmodern Perspective on Research in Mathematics Education. In (Ed)

*Mathematics Education as a Research Domain: a Search for Identity*, 71-85.

**Ernest P**(1998). A Postmodern Perspective on Research in Mathematics Education. In (Ed)

*Mathematics Education as a Research Domain: a Search for Identity*, 71-85.

**Ernest P**(1998). Mathematics teachers in transition.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*68*, 458-460. Author URL.

### 1996

**Ernest P**(1996). Towards a philosophy of critical mathematics education - Skovsmose,O.

*JOURNAL OF PHILOSOPHY OF EDUCATION*,

*30*(3), 488-493. Author URL.

### 1994

**Ernest P**(1994). Constructivism: Which Form Provides the Most Adequate Theory of Mathematics Learning?.

*Journal für Mathematik-Didaktik: Zeitschrift der Gesellschaft für Didaktik der Mathematik (GDM)*,

*15*(3), 327-342. Abstract.

**ERNEST P**(1994). STREET MATHEMATICS AND SCHOOL MATHEMATICS - NUNES,T, SCHLEIMANN,AD, CARRAHER,DW.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*64*, 501-502. Author URL.

### 1993

**Ernest P**(1993). Constructivism, the psychology of learning, and the nature of mathematics: Some critical issues.

*Science & Education*,

*2*(1), 87-93. Abstract.

**ERNEST P**(1993). EPISTEMOLOGICAL FOUNDATIONS OF MATHEMATICAL KNOWLEDGE - STEFFE,LP.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*63*, 373-374. Author URL.

**ERNEST P**(1993). SITUATED LEARNING - LEGITIMATE PERIPHERAL PARTICIPATION - LAVE,J, WENGER,E.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*63*, 192-193. Author URL.

### 1992

**Ernest P**(1992). Problem Solving: its Assimilation to the Teachers's Perspective. In (Ed)

*Mathematical Problem Solving and New Information Technologies*, 287-300.

**Ernest P**(1992). The nature of mathematics: Towards a social constructivist account.

*Science and Education*,

*1*(1), 89-100. Abstract.

### 1990

**Ernest P**(1990). The meaning of mathematical expressions: Does philosophy shed any light on psychology?.

*British Journal for the Philosophy of Science*,

*41*(4), 443-460. Abstract.

### 1989

**Ernest P**(1989). Head of the Secondary School Mathematics Department: a demanding role.

*School Organisation*,

*9*(3), 319-337.

**ERNEST P**(1989). THE KNOWLEDGE, BELIEFS AND ATTITUDES OF THE MATHEMATICS TEACHER - a MODEL.

*JOURNAL OF EDUCATION FOR TEACHING*,

*15*(1), 13-33. Author URL.

**ERNEST P**(1989). THE PRACTICE OF MATHEMATICS - SOLOMON,Y.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*59*, 266-270. Author URL.

### 1987

**ERNEST P**(1987). A MODEL OF THE COGNITIVE MEANING OF MATHEMATICAL EXPRESSIONS.

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*57*, 343-370. Author URL.

### 1986

**Ernest P**(1986). Computer gaming for the practice of transformation geometry skills.

*Educational Studies in Mathematics*,

*17*(2), 205-207.

**Ernest P**(1986). Integration in mathematics and the assessment of integrative skills in mathematics.

*International Journal of Mathematical Education in Science and Technology*,

*17*(1), 103-113. Abstract.

### 1985

**Ernest P**(1985). The number line as a teaching aid.

*Educational Studies in Mathematics*,

*16*(4), 411-424. Abstract.

## External Engagement and Impact

### Journal and book series Editorships and Editorial board membership

Founder and editor of Philosophy of Mathematics Education Journal since 1990. Freely available at http://socialsciences.exeter.ac.uk/education/research/centres/stem/publications/pmej/