Research Output per year

## Research Outputs

## Improving early numeracy through a pattern and structure mathematics awareness project (PASMAP)

Mulligan, J., Papic, M., Prescott, A. & Mitchelmore, M., 2006,*Identities, cultures and learning spaces: Proceedings of the 29th annual conference of the Mathematics Education Research Group of Australasia.*Grootenboer, P., Zevenbergen, R. & Chinnappan, M. (eds.). Pymble, NSW: MERGA, Vol. 2. 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Integrating concepts and processes in early mathematics: The Australian pattern and structure mathematics awareness project (PASMAP)

Mulligan, J., Mitchelmore, M. & Prescott, A., 2006,*PME 30: proceedings of the 30th conference of the international group for the psychology of mathematics education, Vol 4.*Novotná, J., Moraová, H., Krátká, M. & Stehlíková, N. (eds.). Prague, Czech Republic: INT GRP PSYCHOL MATH EDUC, p. 209-216 8 p. (PME Conference Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## The pattern and structure mathematics awareness project (PASMAP)

Mulligan, J. & Mitchelmore, M., 2006,*PME 30: proceedings of the 30th conference of the international group for the psychology of mathematics education, Vol 1.*Novotna, J., Moraova, H., Kratka, M. & Stehlikova, N. (eds.). Prague, Czech Republic: INT GRP PSYCHOL MATH EDUC, p. 308-308 1 p. (PME Conference Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Case studies of children's development of structure in early mathematics: A two-year longitudinal study

Prescott, A., Mulligan, J. & Mitchelmore, M., 2005,*International Group for the Psychology of Mathematics Education, Conference.*Chick, H. L. & Vincent, J. L. (eds.). Melbourne: International Group for the Psychology of Mathematics Education, p. 1-8 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Pre-schoolers' mathematical patterning

Papic, M. & Mulligan, J., 2005,*Building connections: research, theory and practice : proceedings of the annual conference held at RMIT, Melbourne, 7th-9th July 2005.*Clarkson, P., Downton, A., McDonough, A., Pierce, R., Roche, A., Horne, M. & Gronn, D. (eds.). Melbourne: Mathematics Education Research Group of Australasia, Vol. 1. p. 609-616 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Children's development of structure in early mathematics.

Mulligan, J., Prescott, A. & Mitchelmore, M., 2004,*Proceedings of the 28th conference of the International Group for the Psychology of Mathematics Education.*Hoines, M. J. & Fuglestad, A. B. (eds.). Bergen, Norway: Bergen University College, Vol. 3. p. 393-400 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## The numeracy research in NSW primary schools project 2001-2003

Mulligan, J. & Busatto, S., 2004,*Proceedings of the 27th annual conference of the Mathematics Education Research Group of Australasia.*Putt, I., Faragher, R. & McLean, M. (eds.). Townsville, QLD: Mathematics Education Research Group of Australasia, Vol. 27. p. 382-389 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## First grader's use of structure in visual memory and unitising tasks

Mulligan, J. & Prescott, A., 2003,*26th Annual Conference of the Mathematics Education Research Group of Australasia.*Bragg, L., Campbell, C., Herbert, G. & Mousley, J. (eds.). Melbourne: Deakin University, p. 539-546 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Case studies on mathematics assessment practices in Australian and Chinese primary schools

Zhao, D., Mulligan, J. & Mitchelmore, M., 2002,*Proceedings of the ICMI Comparative Study Conference.*Lopez-Real, F. (ed.). Hong Kong: University of Hong Kong, p. 97-103 7 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## The role of structure in children's development of multiplicative reasoning

Mulligan, J., 2002,*Mathematics education in the South Pacific. Annual conference of the Mathematics Education Research Group of Australasia.*Barton, B., Irwin, K., Pfannkuch, M. & Thomas, M. (eds.). Auckland, New Zealand: Mathematics Education Research Group of Australasia, p. 497-503 7 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Moving Beyond Physical Models in Learning Multiplicative Reasoning

Sullivan, P., Clarke, D., Cheesman, J. & Mulligan, J., 2001,*Proceedings of the 25th conference of the international group for the psychology of mathematics education.*van den Heuvel-Panhuizen, M. (ed.). Utrecht, The Netherlands: Freudenthal Institute, Utrecht University, p. 233-240 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## An assessment framework for early multiplication and division

Mulligan, J. & Wright, R. J., 2000,*Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education.*Nakahara, T. & Koyama, M. (eds.). Hiroshima, Japan, Vol. 4. p. 17-25 9 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Interview-based assessment of early multiplication and division

Mulligan, J. & Wright, R. B., 2000,*Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education Volume 4.*Nakahara, T. & Koyama, M. (eds.). Higashi-Hiroshima, Japan: Department of Mathematics Education, Hiroshima University, p. 38824-38831 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Students' visualisation of three-dimensional shapes

Everett, J. & Mulligan, J., 2000,*Mathematics Education Beyond 2000. Twenty-third Annual Conference of the Mathematics Education Research Group of Australasia.*Bana, J. & Chapman, A. (eds.). Perth: Mathematics Education Research Group of Australasia, p. 243-250 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Children's multiplication and division strategies

Cooper, T., Heirdsfield, A., Mulligan, J. & Irons, C., 1999,*Proceedings of the 23rd Annual Conference of the International Group for the Psychology of Mathematics Education.*Zaslavsky, O. (ed.). Israel: University of Haifa, Israel, Program Committee, Vol. 3. p. 89-96

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Children's understanding of the number system

Thomas, N. & Mulligan, J., 1999,*Proceedings of the 22nd annual conference of the Mathematics Education Research Group of Australasia.*Truran, J. (ed.). Adelaide: Mathematics Education Research Group of Australasia, p. 477-485 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Using internet resources

Dengate, R. & Mulligan, J., 1999,*Mathematics, the next millennium: Proceedings of the 17th Biennial Conference of the Australian Association of Mathematics Teachers.*Adelaide: AAMT, p. 259-265 7 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## A research-based framework for assessing early multiplication and division strategies

Mulligan, J., 1998,*Proceedings of the 21st annual conference of teh Mathematics Education Research Group of Australasia Inc..*Zevenbergen, R. (ed.). Griffith University: Mathematics Education Research Group of Australasia, p. 404-412 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Working mathematically: using internet resources

Dengate, R. & Mulligan, J., 1998,*Proceeings of the Annual Conference of the Mathematical Association of NSW: Parramatta, August 29-31, 1997.*Sydney: Mathematical Association of NSW, p. 46-50 5 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Promoting the growth of mathematical thinking in young children: Invited keynote address

Mulligan, J., 1997,*The early years: embracing the challenges: 1997 Early Years of Schooling Conference Proceedings.*Melbourne: Victorian Ministry of Education, p. 68-75 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Second graders' representations and conceptual understanding of number

Mulligan, J., Mitchelmore, M., Outhred, N. & Russell, S., 1997,*Proceedings of the 20th annual conference of the Mathematics Education Research Group of Australasia.*Biddulp, F. & Carr, K. (eds.). Rotorua: Mathematics Education Research Group of Australasia, Vol. 2. p. 361-369 9 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Using real data to generate mathematical thinking

Taplin, M. & Mulligan, J., 1997,*Proceedings of the 16th biennial conference of the Australian Association of Mathematics Teachers.*Scott, N. & Hollingsworth, H. (eds.). Adelaide: Australian Association of Mathematics Teachers, p. 296-301 6 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Children's developing multiplication and division strategies

Mitchelmore, M. & Mulligan, J., Jul 1996,*Proceedings of the 20th annual conference of the International Group for the Psychology of Mathematics Education.*Puig, L. & Gutierrez, A. (eds.). University of Valencia: International Group for the Psychology of Mathematics Education, Vol. 3. p. 407-415 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Children's representations and conceptual understanding of number

Mulligan, J., Mitchelmore, M., Outhred, N. & Bobis, J., 1996,*Proceedings of the 19th annual conference of the Mathematics Education Reseach Group of Australasia.*University of Melbourne: Mathematics Education Research Group of Australasia, p. 406-414 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Children's representations of the counting sequence 1-100: development of new cognitive structures

Thomas, N. D., Mulligan, J. & Goldin, G. A., 1996,*Proceedings of the 20th annnual Conference of the International Group for the Psychology of Mathematics Education.*Puig, L. & Gutierrez, A. (eds.). University of Valencia: International Group for the Psychology of Mathematics Education, Vol. 4. p. 307-315 9 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Assessing early number learning: challenges for professional development

Mulligan, J. & Thomas, N. D., 1995,*Regional collaboration in mathematics education: Proceedings of the International Conference on Mathematics Instruction.*Hunting, R. P., Fitzsimons, G. E., Clarkson, P. C. & Bishop, A. J. (eds.). Melbourne: Monash University Publishing, p. 533-542 10 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Challenging children to make mathematical links

Mulligan, J., 1995,*Flair : forging links and integrating resources: Proceedings of the 15th biennial conference of the Australian Association of Mathematics Teachers.*Richards, A., Gillman, G., Milton, K. & Oliver, J. (eds.). Adelaide: Australian Association of Mathematics Teachers Inc., p. 231-239 9 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Young children's intuitive models of multiplication and division

Mulligan, J. & Mitchelmore, M., 1995,*Proceedings of the 18th annual conference of the Mathematics Education Reserach Group of Australasia.*Atweh, B. & Flavell, S. (eds.). Darwin: Mathematics Education Research Group of Australasia, p. 427-433 7 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Children's representation of the counting sequence 1-100: study and theoretical interpretation

Thomas, N. D., Mulligan, J. & Goldin, G. A., 1994,*Proceedings of the 18th Annual Conference of the International Group for the Psychology of Mathematics Education.*Pedro da Ponte, J. & Matos, J. F. (eds.). Lisbon: International Group for the Psychology of Mathematics Education, Vol. 2. p. 1-9

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Researching mathematical understanding through children's representations of number

Thomas, N. & Mulligan, J., 1994,*Proceedings of the Annual Conference of the Australian Association for Research in Education.*Newcastle, Australia: University of Newcastle, 15 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## The role of dynamic imagery in children's representation of number

Thomas, N. & Mulligan, J., 1994,*Proceedings of the 17th annual conference of the Mathematics Education Research Group of Australasia.*Lismore: Mathematics Education Research Group of Australasia, p. 607-615 8 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## 6th graders understanding of multiplicative structure: a 5 year follow-up study

Mulligan, J., 1993,*Proceedings of the 16th annual conference of the Mathematics Education Research Group of Australasia.*Atweh, B., Kanes, C., Carss, M. & Booker, G. (eds.). Brisbane, QUT: MERGA, p. 423-431 7 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Children's solutions to multiplication and division word problems: a longitudinal study

Mulligan, J., 1992,*Proceedings of the 16th Annual Conference of the International Group for the Psychology of Mathematics Education.*Durham, University of New Hampshire: PME Committee, Vol. 2. p. 144-152 9 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Children's solutions to partition problems

Mulligan, J., 1992,*Space: the first and final frontier: Proceedings of the 15th annual conference of the Mathematics Education Research Group of Australasia.*Southwell, B., Perry, R. & Owens, K. (eds.). Sydney: MERGA, p. 410-420 11 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Multiplication and division: what we can use for the classroom

Mulligan, J., 1992,*Challenging Children to Think When They Compute.*Irons, C. (ed.). Brisbane: QUT Centre for Mathematics and Science Education, p. 42-63 12 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Children's solutions to multiplication and division word problems: a longitudinal study

Mulligan, J., 1990,*Proceedings of the 13th Annual Conference of the Mathematics Education Research Group of Australasia.*Watson, J. (ed.). Hobart: MERGA, p. 62-64 3 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Children's solutions to multiplication and division word problems: interim report

Mulligan, J., 1989,*Proceedings of the 12th Annual Conference of the Mathematics Education Research Group of Australasia.*Thomas, N. (ed.). Bathurst, NSW: MERGA

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Mapping solutions to an early multiplication word problem

Mulligan, J., 1989,*Proceedings of the 12th Annual Conference of the Mathematics Education Research Group of Australasia.*Thomas, N. (ed.). Bathurst, NSW: MERGA

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## An analysis of children's solutions to multiplication and division word problems: a pilot study

Mulligan, J., 1988,*Proceedings of the 11th Annual Conference of the Mathematics Education Research Group of Australasia.*Ellerton, N. & Clements, M. (eds.). Deakin University, Geelong: MERGA

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## Children as strategists

Mulligan, J., 1988,*Good ideas for teachers: Australian Association of Mathematics Teachers Conference Papers.*4 ed. Adelaide: AAMT (Australian Association of Mathematics Teachers)

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution