Biography

I am a mathematics education specialist with a love of mathematics and a passion for the development of excellence in mathematics teaching and learning. My career is devoted to teaching and research with teachers and pre-service teachers to ensure that the mathematics education received by students is of the highest quality. I bring to the task a deep understanding of the pedagogy of mathematics teaching and learning, a well researched understanding of professional development issues and a sensitivity to the affective factors for teachers in mathematics education.

Since 1985 I have worked in teacher education and research in mathematics education at undergraduate and postgraduate levels, both in Australia and overseas. This work has been focussed on teachers and student teachers at early childhood, primary, middle school, secondary and adult levels. Prior to that I taught Mathematics, Science and Computing in Secondary Schools in NSW and Victoria and across all curriculum areas in Primary Schools.

I am currently employed by Victoria University as a lecturer in the School of Education. In this work I am responsible for the Mathematics Education components of the Bachelor of Education, P-12 (B.Ed.) in which there are 1200 pre-service teachers studying on four campuses in the Western suburbs of Melbourne.

Research Interests

My research interests are in the areas of teacher pre-service and in-service professional development. I am particularly interested in how affective and cognitive factors interact and develop during teachers' careers. 

I am also interested in supporting students who struggle in learning mathematics

Supervision

Interest and expertise in:

Mathematics education

Standards Based Education

Projects of current and recent students include:

Mathematical content knowledge of pre-service teachers

Development and implementation of standards based curriculum

Doctoral Thesis

Primary Teachers' View of Mathematics Teaching and Learning

Keynote address

Carroll, J. (2007) Developing Multiplicative Thinking. Annual Conference of Mathematical Association of Victoria.

Publications

Carroll, J. (2007). Ten easy steps to Mathematics Intervention in your classroom: Is interpreting the research on students who struggle in primary mathematics this easy? Proceedings of Second international conference in Science, Technology and Mathematics Education. Mumbai, India: Homi Bhabha Centre for Science Education

Carroll, J. (2005). Teaching mathematics in primary schools: Different types of teachers. In Proceedings of AARE 2005 International Education Research Conference. Sydney: AARE

Carroll, J. (2005). Developing effective teachers of mathematics: Factors contributing to development in mathematics education for primary school teachers. In P. Clarkson, A. Downton, D. Gronn, M. Horne, A. McDonough, R. Pierce, and A. Roche (Eds.), Building Connections: Research Theory and practice. Proceedings of the 28th conference of the Mathematics Education Research Group of Australasia. Melbourne: MERGA.

Carroll, J. (1999). Discovering the story behind the snapshot: Using life histories to give a human face to statistical interpretations. Proceedings of the 23^rd Conference of the International Group for Psychology of Mathematics Education Haifa, Israel.

Carroll, J. (1999) Implications for professional development of primary teachers’ views of mathematics teaching. Proceedings of the International Conference on New Professionalism in teaching: Teacher Education and Teacher Development in a Changing World, January 1999, Hong Kong.

Carroll, J. (1998) Understanding professional development through the analysis of the mathematical life histories of primary school teachers. Proceedings of Australian Association for Research in Education Conference, 1998. http://www.swin.edu.au/aare/confpap.htm

Carroll, J. (1998) Primary school teachers’ views of professional development for teaching Mathematics. Proceedings of the Australian College of Education Annual Conference: http://www.austcolled.com.au/act/confpaper/papers.htm

Carroll, J. (1998) Developing a framework for viewing affective and knowledge factors in teaching primary Mathematics in MERGA 21: Book of the proceedings of the 21st annual conference of the Mathematics Education Research Group of Australasia.

Carroll, J. (1997) Perfect professional development for teachers: Some primary teachers’ views. Proceedings of the International Conference on Science, Mathematics and Technology Education, January 1997, Hanoi, Vietnam.

Carroll, J. and Waywood, A. (1997) Professional development for teachers and the Internet. Proceedings of the International Conference on Science, Mathematics and Technology Education, January 1997, Hanoi, Vietnam.

Carroll, J. (1996) Teaching Primary Maths. What’s important? Says who? in MERGA 19: Proceedings of the 19th Annual Conference of the Mathematics Education Research Group of Australasia: Technology in Mathematics Education. Deakin University Press.

Carroll, J. (1995) Mathematics learning and gender. in R. Hunting, G. Fitzsimons, P. Clarkson and A. Bishop. Regional Collaboration in Mathematics Education, pp 179-187. International Congress on Mathematical Instruction: Melbourne.

Carroll, J. (1995) Primary school teachers' views of mathematics and mathematics teaching and how they change. Proceedings of Australian Association for Research in Education Conference, 1995.

Carroll, J and Waywood, A. (1995) Looking at, versus looking through text. Proceedings of Association for Research in Education Conference, 1995.

Carroll, J. (1994). Why do some primary teacher trainees hate Maths? A case study. in Merga 17 Volume 1: Book of the proceedings of the 17th annual conference of the Mathematics Education Research Group of Australasia: Challenges in Mathematics Education: Constraints on Construction.

Carroll, J. (1994). What makes a person mathsphobic? A case study investigating affective, cognitive and social aspects of a trainee teacher's mathematical understanding and thinking. Mathematics Education Research Journal. 6 (2) pp. 131-143

Textbook Series

Jones, S. B., Couchman, K. E. and Carroll, J. E.  Modern Mathematics 7. Shakespeare Head Press, Sydney.

Jones, S. B., Couchman, K. E., and Carroll, J. E.,  Modern Mathematics 8. Shakespeare Head Press:  Sydney.

Jones, S. B., Couchman, K. E. and Carroll, J. E. (New Guinea edition)  Modern Mathematics 7. Shakespeare Head Press, Sydney.

Jones, S. B., Couchman, K. E., and Carroll, J. E., (New Guinea edition)  Modern Mathematics 8.  Shakespeare Head Press: Sydney.

Membership of Professional Organisations

Mathematics Association of Victoria –    Council Member,

                                                 Convenor of the Editorial Committee for the journal Prime Number

Mathematical Education Research group of Australasia –

Australia Association for Research in Education

American Education Research Association

Some Recent Projects

Systems Technology (2006-2007) ASISTM

Improving Student Achievement, Curriculum Planning and Teaching Practices in Mathematics (2006-2007) ASISTM

Equity in Technology-Based Mathematics (2006- 2007) ASISTM

WITS Way to New Learning (2005-2006) ASISTM

Australian Government Quality Teacher Programme (AGQTP;) Supporting Students with Learning Difficulties in Mathematics (2005, 2006 and 2007)