Research Output per year

## Research Outputs

## Evaluating the impact of a Spatial Reasoning Mathematics Program (SRMP) intervention in the primary school

Mulligan, J., Woolcott, G., Mitchelmore, M., Busatto, S., Lai, J. & Davis, B., 22 May 2020, In : Mathematics Education Research Journal. 23 p.Research output: Contribution to journal › Article

## Supporting early mathematical development through a ‘pattern and structure’ intervention program

Mulligan, J., Oslington, G. & English, L., 20 Feb 2020, In : ZDM - Mathematics Education. 14 p.Research output: Contribution to journal › Article

## Supporting mathematical thinking through pattern and structure: PAMPhlet 88

Mulligan, J., 1 Mar 2020, 6 p. Sydney : Mathematical Association of NSW.Research output: Other contribution

## Third-graders’ predictive reasoning strategies

Oslington, G., Mulligan, J. & Van Bergen, P., May 2020, In : Educational Studies in Mathematics. 104, 1, p. 5–24 20 p.Research output: Contribution to journal › Article

## Towards a framework for spatial reasoning and primary mathematics learning: an analytical synthesis of intervention studies

Woolcott, G., Le Tran, T., Mulligan, J., Davis, B. & Mitchelmore, M., 27 Apr 2020, In : Mathematics Education Research Journal. 31 p.Research output: Contribution to journal › Article

## Enriching maths and science learning through an interdisciplinary approach

Tytler, R., White, P., Xu, L., Prain, V., Mulligan, J., Lehrer, R., Schauble, L., Kirk, M., Neilsen, C. & Speldewinde, C., 2 Jul 2019. 1 p.Research output: Contribution to conference › Abstract

## Interdisciplinary mathematics and science (IMS) learning in the primary school

Mulligan, J. & Tytler, R., 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. 811 1 p.

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

## 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

## The development of a spatial reasoning assessment interview in the primary grades

Mulligan, J., Woolcott, G., Mitchelmore, M. & Davis, B., 2019,Research output: Chapter in Book/Report/Conference proceeding › Conference abstract

## Visualisation and spatial thinking in primary (elementary) students’ understandings of astronomy

Tytler, R., White, P. & Mulligan, J., 26 Jun 2019. 4 p.Research output: Contribution to conference › Abstract

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

McCluskey, C., Mulligan, J. & Van Bergen, P., 2019,Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution

## An interdisciplinary approach to designing online learning: Fostering pre-service mathematics teachers’ capabilities in mathematical modelling

Geiger, V., Mulligan, J., Date-Huxtable, L., Ahlip, R., Jones, D. H., May, E., Rylands, L. & Wright, I., Apr 2018, In : ZDM Mathematics Education. 50, 1-2, p. 217–232 16 p.Research output: Contribution to journal › Article

## Connecting mathematics learning through spatial reasoning

Mulligan, J., Woolcott, G., Mitchelmore, M. & Davis, B., Mar 2018, In : Mathematics Education Research Journal. 30, 1, p. 77–87 11 p.Research output: Contribution to journal › Article

## Contemporary research and perspectives on early childhood mathematics education

Elia, I. (ed.), Mulligan, J. (ed.), Anderson, A. (ed.), Baccaglini-Frank, A. (ed.) & Benz, C. (ed.), 2018, Cham, Switzerland: Springer, Springer Nature. 319 p. (ICME-13 Monographs)Research output: Book/Report › Edited Book/Anthology

## Designing a pedagogical program to support spatial reasoning in the primary school

Mulligan, J., Woolcott, G., Mitchelmore, M. & Davis, B., 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. 754 1 p. MUL18078

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

## Early childhood mathematics education: reflections and moving forward

Elia, I., Mulligan, J., Anderson, A., Baccaglini-Frank, A. & Benz, C., 2018,*Contemporary research and perspectives on early childhood mathematics education.*Elia, I., Mulligan, J., Anderson, A., Baccaglini-Frank, A. & Benz, C. (eds.). Cham, Switzerland: Springer, Springer Nature, p. 313-326 14 p. (ICME-13 Monographs).

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

## 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

## Promoting early mathematical structural development through an integrated assessment and pedagogical program

Mulligan, J. & Mitchelmore, M., 2018,*Contemporary research and perspectives on early childhood mathematics education .*Elia, I., Mulligan, J., Anderson, A., Baccaglini-Frank, A. & Benz, C. (eds.). Cham, Switzerland: Springer, Springer Nature, p. 17-33 17 p. (ICME-13 Monographs).

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

## Research in early childhood mathematics education today

Elia, I., Mulligan, J., Anderson, A., Baccaglini-Frank, A. & Benz, C., 2018,*Contemporary research and perspectives on early childhood mathematics education.*Elia, I., Mulligan, J., Anderson, A., Baccaglini-Frank, A. & Benz, C. (eds.). Cham, Switzerland: Springer, Springer Nature, p. 1-14 14 p. (ICME-13 Monographs).

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

## Special needs in research and instruction in Whole Number Arithmetic

Verschaffel, L., Baccaglini-Frank, A., Mulligan, J., Van den Heuvel-Panhuizen, M., Ping Xin, Y. & Butterworth, B., 2018,*Building the foundation: whole numbers in the primary grades: the 23rd ICMI study.*Bartolini-Bussi, M. & Sun, X. (eds.). Berlin: Springer, Springer Nature, p. 375-397 23 p. (New ICMI Study Series).

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

## Whole number thinking, learning and development: neuro-cognitive, cognitive and developmental approaches

Mulligan, J., Verschaffel, L., Baccaglini-Frank, A., Coles, A., Gould, P., He, S., Ma, Y., Milinković, J., Obersteiner, A., Roberts, N., Sinclair, N., Wang, Y., Xie, S. & Yang, D-C., 2018,*Building the foundation: whole numbers in the primary grades: the 23rd ICMI study.*Bartolini-Bussi, M. & Sun, X. (eds.). Berlin: Springer, Springer Nature, p. 137-167 31 p. (New ICMI Study Series).

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

## Young children's reasoning through data exploration

Oslington, G., Mulligan, J. & Van Bergen, P., 2018,*Forging connections in early mathematics teaching and learning.*Kinnear, V., Lai, M. Y. & Muir, T. (eds.). Singapore : Springer, Springer Nature, p. 191-212 22 p. (Early mathematics learning and development).

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

## 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

## Multidisciplinary perspectives on a video case of children designing and coding for robotics

Francis, K., Bruce, C., Davis, B., Drefs, M., Hallowell, D., Hawes, Z., McGarvey, L., Moss, J., Mulligan, J., Okamoto, Y., Sinclair, N., Whiteley, W. & Woolcott, G., 2017, In : Canadian Journal of Science, Mathematics and Technology Education. 17, 3, p. 165-178 14 p.Research output: Contribution to journal › Article

## Opening Real Science: Authentic Mathematics and Science Education for Australia, Final Report

Mulligan, J., Cavanagh, M., Geiger, V., Hedberg, J., Pask, H. M., Rylands, L. & Wood, L., 1 Nov 2017, 1st ed. Canberra, ACT: Australian Government Department of Education and Training. 124 p.Research output: Book/Report › Other report

## Opening Real Science: evaluation of an online module on statistical literacy for pre-service primary teachers

Bilgin, A. A. B., Date-Huxtable, E., Coady, C., Geiger, V., Cavanagh, M., Mulligan, J. & Petocz, P., May 2017, In : Statistics Education Research Journal. 16, 1, p. 120-138 19 p.Research output: Contribution to journal › Article

## Pedagogical and assessment approaches in early childhood in mathematics teacher education

Mulligan, J., 2017, (Accepted/In press)*Research and study in mathematics education in early childhood.*Sharif-Rasslan, A. & Hassidov, D. (eds.). Haifa, Israel: The Mofet Institute

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

## 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

## Understanding gaps in research networks: using “spatial reasoning” as a window into the importance of networked educational research

Bruce, C. D., Davis, B., Sinclair, N., McGarvey, L., Hallowell, D., Drefs, M., Francis, K., Hawes, Z., Moss, J., Mulligan, J., Okamoto, Y., Whiteley, W. & Woolcott, G., Jun 2017, In : Educational Studies in Mathematics. 95, 2, p. 143-161 19 p.Research output: Contribution to journal › Article

## 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

## Creating STEM online materials for pre-service teachers through interdisciplinary collaboration between mathematics educators, mathematicians and scientists

Geiger, V. & Mulligan, J., 2016,*Conference Book : educating the educators: 2nd conference on international approaches to scaling-up professional development in maths and science education.*Freiburg, Germany: MASCIL, p. 43-45 3 p.

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

## 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

## Encouraging early algebraic thinking

Mulligan, J., 2016, In : Reflections. 41, 2, p. 19-22 4 p.Research output: Contribution to journal › Conference paper

## Pattern and Structure Mathematics Awareness Program (PASMAP): Book one - Foundation and Year 1

Mulligan, J. & Mitchelmore, M., 2016, Camberwell, Victoria: Australian Council for Educational Research. 154 p.Research output: Book/Report › Book

## Pattern and Structure Mathematics Awareness Program (PASMAP): book two - years 1 and 2

Mulligan, J. & Mitchelmore, M., 2016, Camberwell, Victoria: Australia Australian Centre for Educational Research. 132 p.Research output: Book/Report › Book

## 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

## Conceptual connectivity in mathematics

Mulligan, J. & Woolcott, G., 2015, p. 688. 1 p.Research output: Contribution to conference › Abstract

## Looking within and beyond the geometry curriculum: connecting spatial reasoning to mathematics learning

Mulligan, J., 18 Jun 2015, In : ZDM Mathematics Education. 47, 3, p. 511-517 7 p.Research output: Contribution to journal › Article

## Moving beyond basic numeracy: Data modeling in the early years of schooling

Mulligan, J., 25 Jul 2015, In : ZDM - International Journal on Mathematics Education. 47, 4, p. 653-663 11 p.Research output: Contribution to journal › Article

## 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

## PASA: Pattern and structure assessment : an assessment program for early mathematics (F-2) : teacher guide

Mulligan, J., Mitchelmore, M. & Stephanou, A., 2015, Victoria: ACER Press. 110 p.Research output: Book/Report › Book

## PASA : Pattern and Structure Assessment: an assessment program for early mathematics (F-2) : response booklet 1

Mulligan, J. & Mitchelmore, M., 2015, Victoria: Australian Council for Educational Research (ACER). 27 p.Research output: Book/Report › Textbook

## PASA : Pattern and Structure Assessment: an assessment program for early mathematics (F-2) : response booklet F

Mulligan, J. & Mitchelmore, M., 2015, Victoria: Australian Council for Educational Research (ACER). 29 p.Research output: Book/Report › Textbook

## PASA : Pattern and Structure Assessment: an assessment program for early mathematics (F-2) : response booklet 2

Mulligan, J. & Mitchelmore, M., 2015, Victoria: Australian Council for Educational Research (ACER). 29 p.Research output: Book/Report › Textbook