Collaborative Group for Research in Mathematics Education

COMPLETED RESEARCH PROJECTS

The nature of mathematical memory

Project team: Gary Davis, Nigel Smith, David Hill

The aim of this research project was to explore the nature of mathematical memory

Publications

Davis, G. (1996), What is the difference between remembering someone posting a letter and remembering the square root of 2? In L. Puig & A. Guttieréz, (Eds.), Proceedings of the 20th conference of the International Group for the Psychology of Mathematics Education, Vol 2, pp. 265-272. Valencia: Universidad de Valencia.

Davis, G., Hill, D., & Smith, N. (2000), A memory-based model for aspects of mathematics teaching. In T. Nakahara & M. Koyama (Eds.), Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education, Vol 2, pp. 225-232.Hiroshima: Hiroshima University.

Davis, G. E., Hill, D. J. W., Simpson, A. P. & Smith, N. (working paper), Explanative memory, and reasoning why, in mathematics. (pre-print). University of Southampton.

Davis, G. E., Smith, N.C. & Hill, D. J. W. (working paper), Reflections on Mathematical Memory. Pre-print. University of Southampton.

Smith, N. C., Davis, G. E. & Hill, D. J. W. (working paper), A classroom-experiment in mathematical memory. (pre-print). University of Southampton.

Related CRME Projects

Young children's ideas about number words
The project was supported by an ORS award

Co-occurrence of Arithmetic and Reading Difficulties in Early Years of Schooling
The aim of this project was to diagnose and remediate those children with severe difficulties in counting in the first few years of schooling.

Annotated Bibliography on Mathematics and the Brain

For an annotated bibliography Mathematics and the Brain click here.

Selected bibliography

Baddeley, A. D. (1992 a), Working memory. Science, 255, 556-559.

Baddeley, A. D. (1992 b), Is working memory working? Quarterly Journal of Experimental Psychology, 44A, 1-31.

Butterworth, B. (1999), The Mathematical Brain. London: Macmillan.

Cahill, L. & McGaugh, J. L. (1998), Mechanisms of emotional arousal and lasting declarative memory. Trends In Neurosciences, 21(7), 294-299

Dehaene, S. (1997), The Number Sense. Oxford: OUP.

Frydman, O. (1995) The concept of number and the acquisition of counting concepts: The ‘when’, the ‘how’, and the ‘what’. Cahiers de Psychologie Cognitive - Current Psychology of Cognition, 14(6), 653-684.

Fuster, J. M. (1999) Memory in the Cerebral Cortex. An Empirical Approach to Neural Networks in the Human and Nonhuman Primate. Cambridge, Mass: MIT Press.

Kulp-Brach, C. (2004) Learning to remember: Mathematics teaching practice and students' memory. In D. E. McDougall & J. A. Ross (Eds.) PME-NA XXVI, The North American Chapter of the International Group for the Psychology of Mathematics Education, vol 1, pp. 377 -383. University of Toronto: Toronto, Ontario, Canada.

McDonald, R.M., Ergis, A.-M. & Winocur, G. (1999) Functional dissociation of brain regions in learning and memory: evidence for multiple systems. In J.K. Foster & M. Jelicic (Eds.) Memory: Systems, Process or Function?, pp. 66- 103. Oxford: Oxford University Press.

Parkin, A. (1997) The development of procedural and declarative memory. In N. Cowan (Ed.) The Development of Memory in Childhood, pp. 113-137. Hove, UK: Psychology Press.

Schacter, D. L. & Tulving, E. (1994), What are the memory systems of 1994? In D. L. Schacter & E. Tulving (Eds.) Memory Systems, 1994. Cambridge, Mass.: MIT Press.

Schacter, D. L. & Tulving, E. (Eds.) (1994) Memory Systems, 1994. Cambridge, Mass.: MIT Press.

Sherry, D. F. & Schacter, D. L. (1987) The evolution of multiple memory systems. Psychological Review, 94, 439-454.

Squire, L. R. (1994) Declarative and non-declarative memory: Multiple brain systems supporting learning and memory. In D.L. Schacter & E. Tulving. (Eds.) Memory Systems, 1994, pp. 203-232. Cambridge, Mass: MIT Press.

Squire, L. R. & Kandell, E. R. (1999), Memory : From Mind to Molecules (Scientific American Library, No 69) WH Freeman & Co.

Tulving, E. & Craik, F. I. M. (Eds.) (2000), The Oxford Handbook of Memory. Oxford: Oxford University Press.

Tulving, E. (1983), Elements of Episodic Memory. Oxford: Oxford University Press.

Ullman, M.T., Corkin, S., Coppola, M., Hickok, G., Growdon, J. H., Koroschetz, W. J. & Pinker, S. (1997) A neural dissociation within language: Evidence that the mental dictionary is part of declarative memory, and that grammatical rules are processed by the procedural system. Journal of Cognitive Neuroscience, 9(2), 266 -276.

Willoughby, T., Wood, E., McDermott, C., McLaren, J. (2000), Enhancing learning through strategy instruction: Is active generation of elaborations critical? Applied Cognitive Psychology, 14(1), 19-30.

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