Selected Member Publications

Bruce, C, & Hawes, Z. (2015). The role of 2D and 3D mental rotation in mathematics for young children? What is it? Why is it important? And what can we do about it? ZDM: the international journal on mathematics education, 48(3).
http://link.springer.com/article/10.1007/s11858-014-0637-4

Bruce, C., Sinclair, N., Moss, J., Hawes, Z. & Caswell, B. (2015). Spatializing the curriculum. Spatial Reasoning for Young Children, Brent Davis & the Spatial Reasoning Study Group. Routledge of Taylor & Francis: New York.
http://amzn.com/1138792047

Flynn, T. & Hawes, Z. (2014). Paying Attention to Spatial Reasoning: K-12. An Ontario Ministry of Education publication: Queen’s Printer Press: Toronto.
http://www.edu.gov.on.ca/eng/literacynumeracy/LNSPayingAttention.pdf

Hallowell, D. A., Okamoto, Y., Romo, L. F., & La Joy, J. R. (2015). First-graders’ spatial-mathematical reasoning about plane and solid shapes and their representations. ZDM, 1-13.
http://link.springer.com/article/10.1007/s11858-015-0664-9

Hawes, Z., LeFevre, J. A., Xu, C., & Bruce, C. D. (2015). Mental Rotation with Tangible Three‐Dimensional Objects: A New Measure Sensitive to Developmental Differences in 4‐to 8‐Year‐Old Children. Mind, Brain, and Education, 9(1), 10-18.
http://onlinelibrary.wiley.com/doi/10.1111/mbe.12051/abstract

Khan, S., Francis, K., & Davis, B. (2014). Accumulation of experience in a vast number of cases: enactivism as a fit framework for the study of spatial reasoning in mathematics education. ZDM: The International Journal on Mathematics Education, 1–11. doi:10.1007/s11858-014-0623-x
http://link.springer.com/article/10.1007%2Fs11858-014-0623-x#page-1

Mulligan, J. T., & Mitchelmore, M. C. (2013). Early awareness of mathematical pattern and structure. In L. D. English & J. T. Mulligan (Eds.), Reconceptualizing early mathematics learning (pp. 29-45). New York: Springer. ISBN 978-94-007-8
http://link.springer.com/chapter/10.1007/978-94-007-6440-8_3

Mulligan, J. T., English, L. D., Mitchelmore, M. C., & Crevensten, N. (2013). Reconceptualizing early mathematics learning: The fundamental role of pattern and structure. In L. D. English & J. T. Mulligan (Eds.), Reconceptualizing early mathematics learning (pp. 47-66). New York: Springer. ISBN 978-94-007-8
http://link.springer.com/chapter/10.1007%2F978-94-007-6440-8_4

Ng, O., & Sinclair, N. (2015). Young children reasoning about symmetry in a dynamic geometry environment. ZDM – The International Journal on Mathematics Education, 51(3).
http://link.springer.com/article/10.1007/s11858-014-0660-5

Okamoto, Y., Kotsopoulos, D., McGarvey, L., & Hallowell, D. (2015). The Development of Spatial Reasoning in Young Children. In B. Davis & the Spatial Reasoning Study Group (Eds), Spatial Reasoning in the Early Years (pp. 15-28). New York, NY: Routledge.
http://www.sponpress.com/books/details/9781138792036/

Sinclair, N. & Moss, J. (2012). The more it changes, the more it becomes the same: The development of the routine of shape identification in dynamic geometry environments. International Journal of Education Research, 51&52, 28-44.
http://www.sciencedirect.com/science/article/pii/S0883035511001285

Tabaghi, S.G. & Sinclair, N. (2013). Using Dynamic Geometry Software to Explore Eigenvectors: The Emergence of Dynamic-Synthetic-Geometric Thinking. Technology, Knowledge and Learning, 18(3), 149-164.
http://link.springer.com.proxy.library.ucsb.edu:2048/article/10.1007/s10...

Weckbacher, L. M., & Okamoto, Y. (2012). Spatial Experiences of High Academic Achievers Insights From a Developmental Perspective. Journal for the Education of the Gifted, 35(1), 48-65.
http://jeg.sagepub.com/content/35/1/48

Woolcott, G., Chamberlain, D., & Mulligan, J. (2015). Using network analysis to connect structural relationships in early mathematics assessment. Proceedings of the 39th Conference of the International Group for the Psychology of Mathematics Education, July 2015, Hobart, Australia. (In press.)

Woolcott, G., Chamberlain, D., Scott, A., & Sadeghi, R. (2014). Mapping concept interconnectivity in mathematics using network analysis. In P. Liljedah, C. Nicol, S. Oesterle & D. Allan (Eds.), 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 (Vol. 5), pp. 385-392. Vancouver, Canada: PME.