The role of 2D and 3D mental rotation in mathematics for young children: what is it? Why does it matter? And what can we do about it?

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• 作者：Catherine D. Bruce ; Zachary Hawes
• 关键词：Spatial reasoning ; Mental rotation ; Mathematics ; Young children ; Geometry
• 刊名：ZDM
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：47
• 期：3
• 页码：331-343
• 全文大小：819 KB
• 参考文献：Bauer, B., & Jolicoeur, P. (1996). Stimulus dimensionality effects in mental rotation. Journal of Experimental Psychology: Human Performance and Perception, 22(1), 82-4.
  Bruce, C. & Flynn, T. (2012). Integrating instruction and play in a Kindergarten to Grade 2 lesson study project. In L.R. Van Zoest, J.J. Lo, & J.L. Kratky, (Eds.), Proceedings of the 34th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Kalamazoo: Western Michigan University.
  Bruce, C., Flynn, T. & Moss, J. (2013). A “no-ceiling-approach to young children’s mathematics: preliminary results of an innovative professional learning program. In Proceedings of the 35th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Chicago: University of Chicago.
  Bruce, C., Flynn, T., Ross, J., & Moss, J. (2011). Promoting teacher and student mathematics learning through lesson study: a design research approach. In B. Ubuz (Ed.), Proceedings of the thirty-fifth conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 193-00). Ankara: PME.
  Bruce, C., & Ladky, M. (2011). What’s going on backstage? Revealing the work of lesson study. In L. Hart, A. Alston, & A. Murata (Eds.), Lesson-study research and practice in mathematics education: learning together (pp. 243-49). New York: Springer.View Article
  Bruce, C., Moss, J., & Flynn, T. (2012). Report on year 1 of the Math for Young Children Lesson Study research project. Toronto: Literacy and Numeracy Secretariat.
  Casey, B. M., Andrews, N., Schindler, H., Kersh, J. E., Samper, A., & Copley, J. (2008). The development of spatial skills through interventions involving block building activities. Cognition and Instruction, 26(3), 269-09.View Article
  Cheng, Y. L., & Mix, K. S. (2013). Spatial training improves children’s mathematics. Journal of Cognition and Development (advanced online publication). doi:10.-080/-5248372.-012.-25186 .
  Clements, D., & Sarama, J. (2004). Engaging Young children in mathematics: standards for early childhood mathematics education. Mahwah: Erlbaum.
  Clements, D. H., & Sarama, J. (2011). Early childhood teacher education: the case of geometry. Journal of Mathematics Teacher Education, 14(2), 133-48.View Article
  Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale: Lawrence Erlbaum Associates.
  Cooper, M. (1992). Three-dimensional symmetry. Educational Studies in Mathematics, 23(2), 179-02.View Article
  Copley, J. V. (2000). The young child and mathematics. Washington, DC: National Association for the Education of Young Children. http://?www.?naeyc.?org/?store/?files/?store/?TOC/-67.?pdf . Accessed 11 March 2014.
  Delgado, A. R., & Prieto, G. (2004). Cognitive mediators and sex-related differences in mathematics. Intelligence, 32(1), 25-2.View Article
  Erhlich, S. B., Levine, S., & Goldin-Meadow, S. (2006). The importance of gesture in children’s spatial reasoning. Developmental Psychology, 42(6), 1259-268.View Article
  Farmer, G., Verdine, B., Lucca, K., Davies, T., Dempsey, R., Newcombe, N., et al. (2013). Putting the pieces together: spatial skills at age 3 predict spatial and math performance at age 5. Seattle: SRCD poster presentation.
  Feng, J., Spence, I., & Pratt, J. (2007). Playing an action video game reduces gender differences in spatial cognition. Association for Psychological Science, 18(10), 850-55.View Article
  Frick, A., Ferrara, K., & Newcombe, N. S. (2013). Using a touch screen paradigm to assess the development of mental rotation between 3? and 5? years of age. Cognitive Processing (advance online publication). doi:10.-007/?s10339-012-0534-0 .
  Geary, D. C., Saults, S. J., Liu, F., & Hoard, M. K. (2000). Sex differences in cognition, computational fluency, and arithmetical reasoning. Journal of Experimental Child Psychology, 77, 337-53.View Article
  Harris, J., Newcombe, N. S., & Hirsh-Pasek, K. (2013). A new twist on studying the development of dynamic spatial transformations: mental paper folding in young children. Mind, Brain, and Education, 7(1), 49-5.View Article
  Hawes, Z., LeFevre, J., Chang, X. & Bruce, C. (2014). 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 (in press).
  Hoyek, N., Collet, C., Fargier, P., & Guillot, A. (2012). The use of the Vandenberg and Kuse mental rotation test in children. Journal of Individual Differences, 33(1), 62-7.View Article
  Jansen, P., Schmelter, A., Quaiser-Pohl, C., Neuburger, S., & Heil, M. (2013). Mental rotation performance in primary school age children: are there gender differences in chronometric tests? Cognitive Development, 28, 51-2.View Article
  Johnson, W., & Bouchard, T. J, Jr. (2005). The structure of human in
• 作者单位：Catherine D. Bruce (1)
  Zachary Hawes (2)
  
  1. School of Education and Professional Learning, Trent University, Peterborough, ON, Canada
  2. Ontario Institute for Studies in Education, University of Toronto, Toronto, ON, Canada
  
• 刊物主题：Mathematics Education; Mathematics, general;
• 出版者：Springer Berlin Heidelberg
• ISSN：1863-9704

文摘

The ability to mentally rotate objects in space has been singled out by cognitive scientists as a central metric of spatial reasoning (see Jansen, Schmelter, Quaiser-Pohl, Neuburger, & Heil, 2013; Shepard & Metzler, 1971 for example). However, this is a particularly undeveloped area of current mathematics curricula, especially in North America. In this article we discuss what we mean by mental rotation, why it is important, and how it can be developed with young children in classrooms. We feature results from one team of teacher-researchers in Canada engaged in Lesson Study to develop enhanced theoretical understandings as well as practical applications in a geometry program that incorporates 2D and 3D mental rotations. Children in the Lesson Study classrooms (ages 4-?years) demonstrated large gains in their mental rotation skills during 4?months of Lesson Study intervention in the Math for Young Children research program. The results of this study suggest that young children from a wide range of ability levels can engage in, and benefit from, classroom-based mental rotation activities. The study contributes to bridging a gap between cognitive science and mathematics education literature.