Dr Patrick Barmby
Dr Patrick Barmby is a Lecturer in Primary Mathematics at the School of Education. In the past, he has published on a broad range of areas, including attitudes towards science and teacher recruitment and retention. However, his main areas of research are the notion of understanding in mathematics, the role of representations in understanding and reasoning in mathematics, and teacher subject knowledge in mathematics. Patrick is also interested in looking at the use of eye tracking technology in mathematics education research, particularly with primary-aged children.
Along with colleagues, Patrick wrote the textbook for primary teachers Primary Mathematics: Teaching for Understanding, published in 2009 by Open University Press. This was based on his research work on understanding, reasoning and representations in mathematics.
In the last few years, Patrick and colleagues received research funding from the Nuffield Foundation for the project ‘Visual representations in the primary classroom', which aimed to develop primary teachers' use of visual representations particularly for multiplication and fractions. The findings of the project were disseminated at a one-day conference held at Durham University in July 2012. Coordinators involved in the project were invited to present their experiences of being part of this project at this conference. In addition to the dissemination conference, the National Centre for Excellence in Teaching Mathematics (NCETM) has made the finalised report available through their website and so disseminated the project’s findings to teachers throughout the UK. The findings of the project have also been presented at conferences in the UK and also internationally. In both the finalised report and the presentations/publications, the results provided implications for the development of professional development programmes to facilitate the transfer of research, and also recommendations for the use of visual representations for teachers. With regards the above outcomes from the project, there was a great deal of interest in the findings from the UK mathematics education community. Patrick was asked by a representative of NCETM to present the findings of the project, alongside one of the head teachers involved in the project, at a meeting of teachers. Further impact of the project has been on the teacher training taking place at Durham University, where the findings of the project now inform the input into student teachers.
Completed Supervisions (since 2008)
Information for prospective doctoral research student supervisions
Patrick would welcome any enquiries from potential research students interested in mathematics education. Particular areas are young children’s understanding of particular mathematical concepts, use of visual representations in mathematics, attitudes towards mathematics and using eye tracking as a methodology in mathematics education.
Indicators of Esteem
- British Society for Research into Learning Mathematics: Member of the British Society for Research into Learning Mathematics (BSRLM) and elected to be the Publications Officer for BSRLM from March 2014
- External Examiner: External Examiner for the Mathematics Specialist Teacher Programme (Masters level) at Roehampton University
Reviewer for journals including:
Research in Mathematics Education, Learning and Instruction, Cambridge Journal of Education, Journal of Teacher Education, Research in Science and Technology Education amongst others.
- 2006: BSRLM Conference: Presented a paper entitled 'Representing multiplication' at the BSRLM Conference in Birmingham. November 2006
- 2007: AMET Conference: Invited speaker presenting a talk entitled 'Developing software for primary school mathematics' at the AMET Conference in Keele.
- 2007: BERA Conference: Presented a paper entitled 'The array representation and primary children's understanding and reasoning in multiplication' at the BERA Conference in London
- 2007: PME Conference: Presented a research report entitled 'How can we assess mathematical understanding' at the PME Conference in Seoul, South Korea
- 2009: SEMT Conference: Presented a paper entitled 'Recognising representations of multiplication' at the SEMT Conference in Prague, Czech Republic.
- 2010: BCME Conference: Presented a paper entitled 'Enrichment and engagement in mathematics' at the BCME Conference in Manchester.
- 2010: BSRLM Conference: Presented a paper entitled 'Working with visual representations of mathematical concepts' at the BSRLM Conference in Nottingham. June 2010
- 2011: BSRLM Conference: Presented a paper entitled 'Evaluating the impact of a Realistic Mathematics Education project in secondary schools' at the BSRLM Conference in Oxford. November 2011
- 2011: BSRLM Conference: Presented a paper entitled 'Assessing young children's understanding of multiplication' at the BSRLM Conference in Oxford. November 2011
- 2011: BSRLM Conference: Presented a paper entitled 'Primary pupils' difficulties with fractions: A representational view' at the BSRLM in London. March 2011
- 2011: BSRLM Conference: Presented a paper entitled 'A representational approach to primary ITT students' developing competence and confidence in their mathematics' at the BSRLM conference in London. March 2011
- 2011: PME Conference: Presented a short oral report entitled 'Primary pupils' difficulties with fractions: A representational view' at the PME Conference in Ankara, Turkey.
- 2011: PME Conference: Presented a research report entitled 'Pre-service teachers' use of visual representations of multiplication' at the PME Conference in Ankara, Turkey.
- 2012: BSRLM Conference: Presented a paper entitled 'Measuring pre-service teachers' attitudes to mathematics: A mixed methods approach' at the BSRLM Conference in Cambridge. November 2012
- 2012: BSRLM Conference: Presented a paper entitled 'Developing the use of diagrammatic representations in the primary classroom' at the BSRLM Conference in Sussex. June 2012
- 2012: PME Conference: Presented a short oral report entitled 'Assessing young children's understanding of multiplication' at the PME Conference in Taipei, Taiwan
- 2013: BSRLM Conference: Presented a paper entitled 'How young children view mathematical representations: A study using eye-tracking technology' at the BSRLM Conference in Edinburgh. November 2013
- Mr James Frost
- Mrs Janet Degg
- Mrs Stephanie Raine
- Ms Yuqian Wang
- Mr Mansour Alabdulaziz
- Mr Martin Musumeci
- Attitudes Research
- Mathematics Education
- Rasch Analysis
- Developing the use of visual representations in the primary classroom
- Evaluation Of Every Child Counts
- Mathematics Masterclasses Programme
Journal papers: academic
- Bolden, D.S., Barmby, P.W. & Harries, A.V. (2013). A representational approach to developing primary ITT students' confidence in their mathematics. International Journal of Mathematical Education in Science and Technology 44(1): 70-83.
- Barmby, P., Bolden, D., Raine, S. & Thompson, L. (2013). Developing the use of diagrammatic representations in primary mathematics through professional development. Educational Research 55(3): 263-290.
- Barmby, Patrick, Bolden, David, Higgins, Steve & Tymms, Peter (2012). Predicting success on a Bachelor of Arts Primary Education degree course. Educational Research 54(3): 323-330.
- Barmby, P., Harries, T., Higgins, S. & Suggate, J. (2009). The array representation and primary children's understanding and reasoning in multiplication. Educational Studies in Mathematics 70(3): 217-241.
- Harries, A.V. & Barmby, P. (2008). Representing multiplication. Mathematics Teaching 206: 37-41.
- Barmby, P., Bilsborough, L., Harries, T. & Higgins, S. (2009). Primary mathematics: Teaching for understanding. Buckingham: Oxford Univesity Press.
- Barmby, P. & Edwards, R. (2013). Developing the potential of all pre-service mathematics teachers. In Mentoring mathematics teachers. Hyde, R. & Edwards, J-A. Abingdon: Routledge. 108-122.
- Kind, P. & Barmby, P. (2011). Defending attitude scales. In Attitude research in science education: Classic and contemporary measurements. Saleh, I.M. & Khine, M.S. Charlotte, NC: Information Age Publishing Inc. 117-135.
- Barmby, P., Harries, A.V. & Higgins, S.E. (2010). Teaching for understanding/understanding for teaching. In Issues in teaching numeracy in primary schools. Thompson, I. Open University Press. 45-57.
- Coffield, M., Riddick, B., Barmby, P. & O'Neill, J. (2008). Dyslexia Friendly Primary Schools: What can we learn from asking the pupils?. In SAGE Handbook of Dyslexia. Reid, G., Fawcett, A., Manis, F. & Siegel, L. London: Sage. 356-368.
- Harries, A.V., Barmby, P.W. & Suggate, J. (2008). What's in a picture? Understanding and Representation in Early Mathematics. In Teaching and Learning Early Number. Thompson, I. Open Univesity Press. 160-175.
Journal papers: online
- Barmby, P., Kind, P. & Jones, K. (2008). Examining Changing Attitudes in Secondary School Science. International Journal of Science Education 30(8): 1075-1093.
- Barmby, P., Bolden, D.S., Raine, S. & Thompson, L. (2013). Developing the use of visual representations in the primary classroom.
- Torgerson, C.J., Wiggins, A., Torgerson, D.J., Ainsworth, H., Barmby, P., Hewitt, C., Jones, K., Hendry, V., Askew, M., Bland, M. Coe, R., Higgins, S., Hodgen, J., Hulme, C. & Tymms, P. (2011). Every Child Counts: The Independent evaluation Executive Summary. Department for Education (DfE).
- Torgerson, C.J., Wiggins, A., Torgerson, D.J., Ainsworth, H., Barmby, P., Hewitt, C., Jones, K., Hendry, V., Askew, M., Bland, M., Coe, R., Higgins, S., Hodgen, J., Hulme, C. & Tymms, P. (2011). The Every Child Counts Independent Evaluation Report to DfE.
- Wiggins, A., Barmby, P., Kokotsaki, D., Lyth, A. & Torgerson, C. (2009). City GATES evaluation Phase 1: Existing data analysis. CfBT.