BRAIN ACTIVITY ASSOCIATED WITH TRANSLATION BETWEEN GRAPHICAL AND SYMBOLIC REPRESENTATIONS OF FUNCTIONS IN GENERALLY GIFTED AND EXCELLING IN MATHEMATICS ADOLESCENTS
 Ilana Waisman,
 Mark Leikin,
 Shelley Shaul,
 Roza Leikin
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In this study, we examine the impact and the interplay of general giftedness (G) and excellence in mathematics (EM) on high school students’ mathematical performance associated with translations from graphical to symbolic representations of functions, as reflected in cortical electrical activity (by means of ERP—eventrelated potentials—methodology). We report on findings of comparative data analysis based on 75 righthanded male high school students (16 – 18 years old) divided into four research groups designed by a combination of EM and G factors. Effects of EM factor appeared at the behavioral and electrophysiological levels. The fifth group of participants included 9 students with extraordinary mathematical abilities (SMG: super mathematically gifted). We found that in EM participants, the G factor has no impact on the performance associated with translation between representations of the functions. The highest overall electrical activity is found in excelling in mathematics students who are not identified as generally gifted (NGEM students). This increased electrical activity can be an indicator of increased cognitive load in this group of students. We identified accumulative and unique characteristics of SMG at the behavioral and electrophysiological levels. We explain the findings by the nature of the tasks used in the study. We argue that a combination of the ERP techniques along with more traditional educational research methods enables obtaining reliable measures on the mental processing involved in learning mathematics and mathematical problem solving.
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 Title
 BRAIN ACTIVITY ASSOCIATED WITH TRANSLATION BETWEEN GRAPHICAL AND SYMBOLIC REPRESENTATIONS OF FUNCTIONS IN GENERALLY GIFTED AND EXCELLING IN MATHEMATICS ADOLESCENTS
 Journal

International Journal of Science and Mathematics Education
Volume 12, Issue 3 , pp 669696
 Cover Date
 20140601
 DOI
 10.1007/s1076301495135
 Print ISSN
 15710068
 Online ISSN
 15731774
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Keywords

 eventrelated potentials (ERP)
 excellence in mathematics
 functions
 giftedness
 graphical and symbolic representations
 Authors

 Ilana Waisman ^{(1)}
 Mark Leikin ^{(1)}
 Shelley Shaul ^{(1)}
 Roza Leikin ^{(1)}
 Author Affiliations

 1. Faculty of Education, Neurocognitive Laboratory  RANGE Center  Interdisciplinary Center for Research and Advancement of Excellence and Giftedness, University of Haifa, Haifa, 31905, Israel