• 523 Citations
1988 …2022

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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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference proceeding contribution

Open Access
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15 Downloads (Pure)

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 proceedingConference proceeding contribution

Open Access
File
35 Downloads (Pure)

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 proceedingConference 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 proceedingConference proceeding contribution

Open Access
File
3 Downloads (Pure)

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 proceedingConference proceeding contribution

Open Access
File
119 Downloads (Pure)

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 proceedingConference proceeding contribution

Open Access
File
6 Downloads (Pure)

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 proceedingConference 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 proceedingConference 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 proceedingConference proceeding contribution

Open Access

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 proceedingConference 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 proceedingConference 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 proceedingConference proceeding contribution

Open Access
File
68 Downloads (Pure)

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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference 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 proceedingConference proceeding contribution