Educational Neuroscience: New Horizons for Research in Mathematics Education.

This paper outlines an initiative in mathematics education research that aims to augment qualitative methods of research into mathematical cognition and learning with quantitative methods of psychometrics and psychophysiology. Background and motivation are provided for this initiative, which is coming to be referred to as educational neuroscience. Relations and differences between cognitive and educational neuroscience are discussed. This is followed by descriptions of methods, along with some of the kinds of expertise required for educational researchers to use such methods more effectively. Overall, this paper points to new horizons and opportunities for research in mathematics education, with some associated pitfalls in areas that appear to be particularly ripe for opening up with these new methods.

[1]  Yoshinobu Ebisawa,et al.  Improved video-based eye-gaze detection method , 1994, Conference Proceedings. 10th Anniversary. IMTC/94. Advanced Technologies in I & M. 1994 IEEE Instrumentation and Measurement Technolgy Conference (Cat. No.94CH3424-9).

[2]  Oliver Sacks,et al.  An Anthropologist on Mars: Seven Paradoxical Tales , 1995 .

[3]  Learning as Embodied Action , 1995 .

[4]  Oliver Sacks,et al.  Seeing Voices: A Journey Into the World of the Deaf. , 1989 .

[5]  David P. Corina,et al.  Making Cognitive Neuroscience Educationally Relevant: Creating Bidirectional Collaborations Between Educational Psychology and Cognitive Neuroscience , 1998 .

[6]  Stephen R. Campbell.  Reconnecting Mind and World: Enacting a (New) Way of Life , 2003 .

[8]  Ann L. Brown,et al.  How people learn: Brain, mind, experience, and school. , 1999 .

[9]  G. Pfurtscheller,et al.  Event-related cortical desynchronization detected by power measurements of scalp EEG. , 1977, Electroencephalography and clinical neurophysiology.

[10]  J. Geake,et al.  Cognitive Neuroscience: implications for education? , 2003 .

[11]  W. Klimesch.  EEG alpha and theta oscillations reflect cognitive and memory performance: a review and analysis , 1999, Brain Research Reviews.

[12]  J. Moreno.  The Man Who Mistook His Wife for a Hat and Other Clinical Tales , 1986 .

[13]  S. R. Campbell.  Constructivism and the Limits of Reason: Revisiting the Kantian Problematic , 2002 .

[14]  S. R. Campbell,et al.  Number theory in mathematics education : perspectives and prospects , 2006 .

[15]  John T. Bruer,et al.  Education and the Brain: A Bridge Too Far , 1997 .

[16]  L. Cosmides.  From : The Cognitive Neurosciences , 1995 .

[17]  E. John.  The neurophysics of consciousness , 2002, Brain Research Reviews.

[18]  Ernst Niebur,et al.  Electrophysiological correlates of synchronous neural activity and attention: a short review. , 2002, Bio Systems.

[19]  Stephen R. Campbell.  Enacting Possible Worlds: Making Sense of (Human) Nature , 2001 .

[20]  Worthy N. Martin,et al.  Human-computer interaction using eye-gaze input , 1989, IEEE Trans. Syst. Man Cybern..

[21]  E. Thompson,et al.  Neurophenomenology Integrating Subjective Experience and Brain Dynamics in the Neuroscience of Consciousness , 2003 .

[22]  Y. Lincoln,et al.  Scientific Research in Education , 2004 .

[23]  James P. Byrnes.  Minds, Brains, and Learning: Understanding the Psychological and Educational Relevance of Neuroscientific Research , 2001 .

[24]  H Hinrichs,et al.  Basic emotions reflected in EEG-coherences. , 1992, International journal of psychophysiology : official journal of the International Organization of Psychophysiology.

[25]  Ken Houston,et al.  Modelling and mathematics education , 2001 .

[26]  Francisco J. Varela,et al.  First-person accounts: why, what, and how , 1999 .

[27]  Guadalupe D Carmona-Dominguez.  Mathematical Modelling: A Way of Life , 2003 .

[28]  Mary B. McVee,et al.  Schema Theory Revisited , 2005 .

[29]  Yoshinobu Ebisawa,et al.  Noncontact video-based eye-gaze detection method allowing large head displacements , 1996, Proceedings of 18th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[30]  Edward M. Bowden,et al.  Neural Activity When People Solve Verbal Problems with Insight , 2004, PLoS biology.

[31]  John Mason,et al.  Exploiting mental imagery with computers in mathematics education , 1995 .

[32]  G. Rees.  The new phrenology: the limits of localizing cognitive processes in the brain , 2002 .