Research Output per year

## Research Outputs

## 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

## A developing framework for identifying young children's engagement with spatial features of play spaces

McCluskey, C. & Mulligan, J., 2017,*40 years on: we are still learning: proceedings of the 40th Annual conference of Mathematics Education Research Group of Australasia.*Downton, A. P., Livy, S. & Hall, J. (eds.). Melbourne: Mathematics Education Research Group of Australasia, 1 p.

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

## A meta-analysis of recent research in early mathematics learning and technology

Goodwin, K., Highfield, K. M., Mulligan, J. & Hedberg, J., 2008,*International Group for the Psychology of Mathematics Education: Proceedings of the Joint Meeting of PME 32 and PME-NA XXX.*Figueras, O., Cortina, J. L., Altorre, S., Rojano, T. & Sepulveda., A. (eds.). Mexico: Cinvestav-UMSNH, p. 343-343 1 p.

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

## 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

## An evaluation of the Australian ‘Reconceptualising Early Mathematics Learning’ project: key findings and implications

Mulligan, J., English, L. & Mitchelmore, M., 2013,*Proceedings of the 37th Conference of the International Group for the Psychology of Mathematics Education: mathematics learning across the lifespan.*Lindmeier, A. M. & Heinze, A. (eds.). Germany: PME, Vol. 3. p. 337-344 8 p.

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

## An Evaluation of the pattern and structure mathematics awareness program in the early school years

Mulligan, J. T., English, L. D., Mitchelmore, M. C., Welsby, S. M. & Crevensten, N., 2011,*Mathematics: traditions and [new] practices : proceedings of the AAMT-MERGA Conference, held in Alice Springs, 3-7 July 2011.*Clark, J., Kissane, B., Mousley, J., Spencer, T. & Thornton, S. (eds.). Adelaide: AAMT and MERGA, p. 548-556 9 p.

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

## An interdisciplinary approach to mathematical modelling in secondary teacher education

Geiger, V. & Mulligan, J., 2017,*PME 41: Proceedings of the 41st Conference of the International Group of the Psychology of Mathematics Education.*Kaur, B., Ho, W. K., Toh, T. L. & Choy, B. H. (eds.). Singapore: PME Committee, Vol. 2. p. 337-344 8 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

## 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

## 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

## 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

## 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

## 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

## 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 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

## 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 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

## 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

## 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: 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 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

## 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

## 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

## Connecting young children’s mathematics learning: early years (P-3)

Mulligan, J., 2016,*MATHS exPLOSION 2016: 2016 Mathematical Association of Victoria's Annual Conference Proceedings.*Widjaja, W., Yook-Kin Loong, E. & Bragg, L. A. (eds.). Brunswick, Victoria: The Mathematical Association of Victoria (MAV), p. 65-70 6 p.

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

## Designing online learning for developing pre-service teachers' capabilities in mathematical modelling and applications

Geiger, V., Date-Huxtable, E., Ahlip, R., Herberstein, M., Jones, D. H., May, E. J., Rylands, L., Wright, I. & Mulligan, J., 2016,*Opening up mathematics education research: Proceedings of the 39th annual conference of the Mathematics Education Research Group of Australasia.*White, B., Chinnappan, M. & Trenholm, S. (eds.). MERGA, p. 262-270 9 p.

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

## Developing a scale to measure awareness of mathematical pattern and structure (AMPS)

Mitchelmore, M. & Mulligan, J., 2017,*Mathematics education research – learning, instruction, outcomes & xexus?: Proceedings of the 41st Conference of the International Group of the Psychology of Mathematics Education (PME 41).*Kaur, B., Ho, W. K., Toh, T. L. & Choy, B. H. (eds.). Singapore: PME, Vol. 3. p. 257-264 8 p.

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

## Developing mathematical concepts in Australian pre-school settings: Children's mathematical thinking

Papic, M., Mulligan, J. & Bobis, J., 2009,*Crossing divides: MERGA 32 conference proceedings, 5-9 July 2009, Massey University, Wellington, New Zealand.*Hunter, R., Bicknell, B. & Burgess, T. (eds.). New Zealand: MERGA, p. 650-653 4 p.

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

## Developing pedagogical strategies to promote structural thinking in early mathematics

Mulligan, J. & Mitchelmore, M. C., 2012,*Mathematics education: expanding horizons : proceedings of the 35th Annual Conference of the Mathematics Education Research Group of Australasia.*Dindyal, J., Cheng, L. P. & Ng, S. F. (eds.). Singapore: MERGA, p. 529-536 8 p.

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

## Developing the Pattern and Structure Assessment (PASA) interview to inform early mathematics learning

Mulligan, J. T., English, L. D., Mitchelmore, M. C., Welsby, S. M. & Crevensten, N., 2011,*Mathematics: traditions and [new] practices : proceedings of the AAMT-MERGA Conference, held in Alice Springs, 3-7 July 2011.*Clark, J., Kissane, B., Mousley, J., Spencer, T. & Thornton, S. (eds.). Adelaide: AAMT and MERGA, Vol. 2. p. 1022-1030 9 p.

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

## Developing young students’ meta-representational competence through integrated mathematics and science investigations

Mulligan, J. & English, L., 2014,*Curriculum in focus: research guided practice : proceedings of the 37th Annual Conference of the Mathematics Education Research Group of Australasia.*Anderson, J., Cavanagh, M. & Prescott, A. (eds.). Sydney: MERGA, p. 493-500 8 p.

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

## Does an ability to pattern indicate that our thinking is mathematical?

McCluskey, C., Mitchelmore, M. & Mulligan, J., 2013,*Mathematics education: yesterday, today and tomorrow : proceedings of the 36th Annual Conference of the Mathematics Education Research Group of Australasia.*Steinle, V., Ball, L. & Bardini, C. (eds.). Adelaide: MERGA, p. 482-489 8 p.

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

## Early childhood mathematics education (up to age 7)

Elia, I., Mulligan, J., Anderson, A., Baccaglini-Frank, A. & Benz, C., 2017,*Proceedings of the 13th International Congress on Mathematical Education: ICME13.*Kaiser, G. (ed.). Cham: Springer, Springer Nature, p. 375-379 5 p. (ICME-13 Monographs).

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

## Early mathematics learning through exploration with programmable toys

Highfield, K., Mulligan, J. & Hedberg, J., 2008,*Proceedings Of The Joint Meeting Of Pme 32 And Pme-Na Xxx, Vol 3.*Figueras, O., Cortina, J. L., Alatorre, S., Rojano, T. & Sepulveda, A. (eds.). Mexico: Cinvestav-UMSNH, p. 169-176 8 p. (PME Conference Proceedings).

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

## Engaging teachers of the future through 'Opening Real Science: Authentic mathematics and science education for Australia'

Mulligan, J., Hedberg, J., Parker, Q., Stewart, K., Diao, M. M. & Coady, C., 4 Sep 2014,*Proceedings of The Australian Conference on Science and Mathematics Education (2014).*Sydney: The University of Sydney, 1 p.

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

## Evaluation of the "reconceptualising early mathematics learning" project

Mulligan, J. T., Mitchelmore, M. C., English, L. D. & Crevensten, N., 2012,*Annual Conference of the Australian Association for Research in Education.*Wright, J. (ed.). University of Sydney, Sydney, NSW: Australian Association for Research in Education, p. 1-11 11 p. (AARE 2012 Conference Proceedings).

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

## Identifying opportunities for mathematics learning in picture books using a framework

Marston, J. & Mulligan, J., 2014,*Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education.*Oesterle, S., Nicol, C., Liljedahl, P. & Allan, D. (eds.). Vancouver: PME, Vol. 6. p. 166 1 p.

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

## Implementing a pattern and structure mathematics awareness program (PASMAP) in kindergarten

Mulligan, J., Mitchelmore, M., English, L. D. & Robertson, G., 2010,*Shaping the future of mathematics education: proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia held at John Curtin College of the Arts, Fremantle, 3-7 July 2010.*Sparrow, L., Kissane, B. & Hunt, C. (eds.). Fremantle, Australia: Mathematics Education Research Group of Australasia, p. 797-804 8 p.

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

## Implementing patterns and algebra in K-2

Mulligan, J. & Adams, D., 2010,*Proceedings of the Annual Conference of the Mathematical Association of NSW.*Sydney, p. 8-10 3 p. (Reflections).

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

## 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

## In search of mathematical structure: looking back, beneath, and beyond - 40 years on

Mulligan, J., 2017,*40 years on : we are still learning!: Proceedings of the 40th Annual Conference of the Mathematics Education Research Group of Australasia : MERGA 40.*Downton, A., Livy, S. & Hall, J. (eds.). Melbourne: MERGA, p. 32-41 10 p.

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

## Inspiring young children's mathematical thinking through pattern and structure

Mulligan, J., 2013,*Tasks and tools in elementary mathematics.*Novotna, J. & Moraova, H. (eds.). Prague, Czech Republic: CHARLES UNIV PRAGUE, p. 45-55 11 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

## Interpreting children’s drawings as indicators of mathematical structural development

Mulligan, J., 2018,*Making waves, opening spaces: proceedings of the 41st Annual Conference of the Mathematics Education Research Group of Australasia.*Hunter, J., Darragh, L. & Perger, P. (eds.). Adelaide, SA: MERGA, p. 106-109 4 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

## 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

## 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

## 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