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Liu, Allison S.; Kallai, Arava Y.; Schunn, Christian D.; Fiez, Julie A. – Instructional Science: An International Journal of the Learning Sciences, 2015
Mathematical fluency is important for academic and mathematical success. Fluency training programs have typically focused on fostering retrieval, which leads to math performance that does not reliably transfer to non-trained problems. More recent studies have focused on training number understanding and representational precision, but few have…
Descriptors: Mental Computation, Mathematics Achievement, Mathematics Instruction, Transfer of Training
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Kallai, Arava Y.; Schunn, Christian D.; Fiez, Julie A. – Neuropsychologia, 2012
The internal representation of numbers generated during calculation has received little attention. Much of the mathematics learning literature focuses on symbolic retrieval of math facts; in contrast, we critically test the hypothesis that internally generated numbers are represented analogically, using an approximate number system. In an fMRI…
Descriptors: Mathematics Education, Number Systems, Mental Computation, Arithmetic
Kallai, Arava Y.; Schunn, Christian D.; Ponting, Andrea L.; Fiez, Julie A. – Society for Research on Educational Effectiveness, 2011
The aim of this study was to test a training program intended to fine-tune the mental representations of double-digit numbers, thus increasing the discriminability of such numbers. The authors' assumption was that increased fluency in math could be achieved by improving the analogic representations of numbers. The study was completed in the…
Descriptors: Experimental Groups, Control Groups, Numbers, Achievement Gains