Research Output per year

## Research Outputs

## Primary pre-service teachers noticing of structural thinking in mathematics

Gronow, M., Cavanagh, M. & Mulligan, J., 2019,*Mathematics education research: impacting practice: Proceedings of the 42nd Annual Conference of the Mathematics Education Research Group of Australasia .*Hine, G., Blackley, S. & Cooke, A. (eds.). Adelaide, SA: Mathematics Education Research Group of Australasia, p. 324–332 8 p.

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

## Symposium: research methods involving children’s drawings in mathematical contexts

Mulligan, J., MacDonald, A., Murphy, S., Way, J., Thom, J. S., Quade, K., Chinnappan, M., Trenholm, S., Cheeseman, J. & McDonough, A., 2019,*Mathematics education research: impacting practice: Proceedings of the 42nd Annual Conference of the Mathematics Education Research Group of Australasia .*Hine, G., Blackley, S. & Cooke, A. (eds.). Adelaide, SA: Mathematics Education Research Group of Australasia, p. 99–116 17 p.

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

## Young children’s movement in outdoor spaces: could this reveal mathematical awareness?

McCluskey, C., Mulligan, J. & Van Bergen, P., 2019,*Mathematics education research: impacting practice: Proceedings of the 42nd Annual Conference of the Mathematics Education Research Group of Australasia .*Hine, G., Blackley, S. & Cooke, A. (eds.). Adelaide, SA: Mathematics Education Research Group of Australasia, p. 484-492 8 p.

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

## Noticing mathematical pattern and structure embodied in young children’s play

McCluskey, C., Mulligan, J. & Van Bergen, P., 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. 535-542 8 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

## 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

## 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

## 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

## 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

## Teachers’ understanding and use of mathematical structure

Gronow, M., Mulligan, J. & Cavanagh, M., Jul 2017,*40 years on : we are still learning: Proceedings of 40th Annual conference of Mathematics Education Research Group of Australasia (MERGA40).*Downton, A., Livy, S. & Hall, J. (eds.). Melbourne: MERGA, p. 285-292 12 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

## The role of reasoning in the *Australian Curriculum: Mathematics*

McCluskey, C., Mulligan, J. & Mitchelmore, M., 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.). Adelaide: MERGA, p. 447-454 8 p.

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

## Opening real science: statistical literacy for pre-service primary teachers through flexible delivery

Bilgin, A. A., Coady, C., Mulligan, J., Geiger, V., Cavanagh, M., Petocz, P. & Date-Huxtable, E., Jul 2015,*Advances in statistics education: developments, experiences and assessments. Proceedings of the Satellite conference of the International Association for Statistical Education (IASE).*Sorto, M. A. (ed.). Brazil: ISI/IASE, 5 p.

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

## Promoting financial literacy in pre-service teacher education through on-line modules

Wood, L., Coady, C., Mulligan, J., Cavanagh, M. & Bridge, D., 2015,*Mathematics education in the margins: proceedings of the 38th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA38).*Marshman, M., Geiger, V. & Bennison, A. (eds.). Sunshine Coast: MERGA, p. 691 1 p.

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

## The pattern and structure of the Australian curriculum-mathematics

McCluskey, C., Mulligan, J. & Mitchelmore, M., 2015,*Mathematics education in the margins: proceedings of the 38th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA38).*Marshman, M., Geiger, V. & Bennison, A. (eds.). Sunshine Coast: MERGA, p. 687 1 p.

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

## Using network analysis to connect structural relationships in early mathematics assessment

Woolcott, G., Chamberlain, D. & Mulligan, J., 2015,*Climbing mountains, building bridges: proceedings of the 39th Conference of the International Group for the Psychology of Mathematics Education.*Beswick, K., Muir, T. & Wells, J. (eds.). Hobart: University of Tasmania, Vol. 4. p. 321-328 8 p.

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

## What lies beneath? Conceptual connectivity underlying whole number arithmetic

Mulligan, J. & Woolcott, G., 2015,*Primary mathematics study on whole numbers: International Commission on Mathematical Instruction (ICMI) study 23 conference proceedings.*Sun, X., Kaur, B. & Novotná, J. (eds.). Macao, China: University of Macau, p. 220-228 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

## 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

## 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

## Structuring representations of continuous data through investigations in grade 1

Mulligan, J., Hodge, K. & English, L., 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. 180 1 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

## 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

## 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

## Reconceptualizing early mathematics learning

Mulligan, J. T., 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. 1. p. 139-142 4 p.

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

## Tracking structural development through data modelling in highly able Grade 1 students

Mulligan, J., Hodge, K., Mitchelmore, M. & English, L., 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. 530-537 8 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

## 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

## Teaching children to solve mathematical word problems in an imported language

Verzosa, D. B. & Mulligan, J., 2012,*proceedings of the 36th conference of the international group for psychology of mathematics education: opportunities to learn in mathematics education.*Tso, T-Y. (ed.). Taipei, Taiwan: INT GRP PSYCHOL MATH EDUC, Vol. 4. p. 203-210 8 p. (PME Conference Proceedings).

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

## 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

## Overcoming language barriers in word problem solving: a framework for intervention

Bautista Verzosa, D. & Mulligan, J., 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. 892-899 8 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

## Reconceptualising early mathematics learning

Mulligan, J., 2010,*Teaching mathematics? Make it count: proceedings of the Australian Council for Educational Research (ACER) Numeracy Conference.*Glascodine, C. & Hoad, K-A. (eds.). Camberwell, VIC: Australian Council for Educational Research (ACER), p. 47-52 6 p.

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

## Why do disadvantaged Filipino children find word problems in English difficult?

Bautista, D. & Mulligan, J., 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. & Hurst, C. (eds.). Fremantle, Australia: Mathematics Education Research Group of Australasia Inc, p. 69-76 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

## The Growth of mathematical patterning strategies in preschool children

Papic, M. M., Mulligan, J. T. & Mitchelmore, M. C., 2009,*Proceedings of the 33th Conference of the International Group for the Psychology of Mathematics Education - in search for theories in mathematics education: PME 33, Thessaloniki, Greece, July 19-24, 2009.*Tzekaki, M., Kaldrimidou, M. & Sakonidis, H. (eds.). Greece: International Group for the Psychology of Mathematics Education, Vol. 4. p. 4-329-4-336 8 p.

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

## Young children's embodied action in problem-solving tasks using robotic toys

Highfield, K. & Mulligan, J., 2009,*PME 33: proceedings of the 33rd conference of the international group for the psychology of mathematics education, Vol 3.*Tzekaki, M., Kaldrimidou, M. & Sakonidis, H. (eds.). Thessaloniki, Greece: INT GRP PSYCHOL MATH EDUC, p. 169-176 8 p. (PME Conference Proceedings; vol. 3).

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

## 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

## Promoting mathematical pattern and structure in the first year of schooling: an intervention study

Mulligan, J., Mitchelmore, M., Marston, J., Highfield, K. & Kemp, C., 2008,*Proceedings of the joint meeting of PME 32 and PME-NA xxx, Vol 4.*Figueras, O., Cortina, JL., Alatorre, S., Rojano, T. & Sepulveda, A. (eds.). Morelia, México: INT GRP PSYCHOL MATH EDUC, p. 1-8 8 p. (PME Conference Proceedings).

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

## Reconceptualising early mathematics learning: An evaluation study

Mulligan, J., English, L. & Mitchelmore, M., 2008,*Proceedings of the Joint Meeting of PME 32 and PME-NA XXX.*Figueras, O., Cortina, J., Alatorre, S., Rojano, T. & Sepulveda, A. (eds.). Mexico: Cinvestav-UMSNH, Vol. 1. p. 293-293 1 p.

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

## The role of pattern and structure in early mathematics learning: An evaluation study in the first year of formal schooling

Mulligan, J., English, L. & Mitchelmore, M., 2008,*Navigating currents and charting directions (Proceedings of the 31st annual conference of the Mathematics Education Research Group of Australasia).*Goos, M., Brown, R. & Makar, K. (eds.). Adelaide: MERGA, Vol. 2. p. 677-677 1 p.

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

## Young children's engagement with technological tools: the impact on mathematics learning

Mulligan, J. & Highfield, K., 2008,*Proceedings of International Congress of Mathematics Education 11, Monterrey, Mexico, July 6-13 2008.*Mexico: International Congress of Mathematics Education (ICME), p. 1-8 8 p.

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

## The Growth of early mathematical patterning: an intervention study

Papic, M. & Mulligan, J., 2007,*Mathematics: essential research, essential practice : proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia, held at Wrest Point Hotel Casino, Hobart, Tasmania, 2--6 July 2007.*Watson, J. & Beswick, K. (eds.). Adelaide: MERGA, Vol. 2. p. 591-600 10 p.

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

## The impact of an intervention on the development of mathematical pattern and structure in the first year of schooling

Mulligan, J., Mitchelmore, M., Kemp, C. R., Marston, J. L. & Highfield, K. M., 2007,*Mathematics: Essential research, essential practice : Proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia.*Watson, J. & Beswick, K. (eds.). Adelaide: MERGA, p. 920-920 1 p.

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

## The Role of dynamic interactive technological tools in preschoolers' mathematical patterning

Highfield, K. & Mulligan, J., 2007,*Mathematics: essential research, essential practice : proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia, held at Wrest Point Hotel Casino, Hobart, Tasmania, 2--6 July 2007.*Watson, J. & Beswick, K. (eds.). Adelaide: MERGA, Vol. 1. p. 372-381 10 p.

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