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# Professor Paul Ernest

## Emeritus Professor

** **

## Overview

My academic starting point is reflectons 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, and other areas a little way from maths. Outside of work I'm interested in cinema, literature (finally finished Proust - now struggling with Finnegan's Wake), food and wine, the gym, scuba diving (especially diving with sharks), travel, music (from Bach to Blues), 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 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

### Journal articles

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

*BRITISH JOURNAL OF EDUCATIONAL PSYCHOLOGY*,

*64*, 501-502. Author URL.

**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**(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). 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.

### Chapters

**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 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.

### Conferences

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

### Publications by year

### 2009

**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.

### 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). 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 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.

### 1998

**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). 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). 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.

### 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). 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.

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