Is There a Role for Executive Functions in the Development of Mathematics Ability

— This article examines the role of working memory, attention shifting, and inhibitory control executive cognitive functions in the development of mathematics knowledge and ability in children. It suggests that an examination of the executive cognitive demand of mathematical thinking can complement procedural and conceptual knowledge-based approaches to understanding the ways in which children become proficient in mathematics. Task analysis indicates that executive cognitive functions likely operate in concert with procedural and conceptual knowledge and in some instances might act as a unique influence on mathematics problem-solving ability. It is concluded that consideration of the executive cognitive demand of mathematics can contribute to research on best practices in mathematics education.

[1]  Robert S Siegler,et al.  Children's learning. , 2005, The American psychologist.

[2]  Bruce D. McCandliss,et al.  Development of attentional networks in childhood , 2004, Neuropsychologia.

[3]  Catalina J. Hooper,et al.  The development of nonverbal working memory and executive control processes in adolescents. , 2005, Child development.

[4]  A. Nieder.  Counting on neurons: the neurobiology of numerical competence , 2005, Nature Reviews Neuroscience.

[5]  S. Dehaene,et al.  THREE PARIETAL CIRCUITS FOR NUMBER PROCESSING , 2003, Cognitive neuropsychology.

[6]  C. Blair.  How similar are fluid cognition and general intelligence? A developmental neuroscience perspective on fluid cognition as an aspect of human cognitive ability. , 2006, The Behavioral and brain sciences.

[7]  J. Moss.  Developing Children's Understanding of the Rational Numbers: A New Model and an Experimental Curriculum , 1999 .

[8]  Mark H. Ashcraft,et al.  Working memory, math performance, and math anxiety , 2007, Psychonomic bulletin & review.

[9]  Jin Fan,et al.  Cognitive and Brain Consequences of Conflict , 2003, NeuroImage.

[10]  Mary K. Hoard,et al.  Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability. , 2007, Child development.

[11]  Steven L. Thorne,et al.  Rising mean IQ: Cognitive demand of mathematics education for young children, population exposure to formal schooling, and the neurobiology of the prefrontal cortex , 2005 .

[12]  M. J. Emerson,et al.  The Unity and Diversity of Executive Functions and Their Contributions to Complex “Frontal Lobe” Tasks: A Latent Variable Analysis , 2000, Cognitive Psychology.

[13]  Stanislas Dehaene,et al.  Arithmetic and the Brain This Review Comes from a Themed Issue on Cognitive Neuroscience Edited the Intraparietal Sulcus and Number Sense Number Sense in the Animal Brain , 2022 .

[14]  Natasha Z. Kirkham,et al.  ARTICLE WITH PEER COMMENTARIES AND RESPONSE Helping children apply their knowledge to their behavior on a dimension-switching task , 2003 .

[15]  Robbie Case,et al.  The Role of Central Conceptual Structures in the Development of Children's Thought , 1995 .

[16]  P. Zelazo,et al.  Executive Function in Typical and Atypical Development , 2010 .

[17]  Stephanie M. Carlson,et al.  Preschool Children's Performance in Task Switching on the Dimensional Change Card Sort Task: Separating the Dimensions Aids the Ability to Switch , 2005, Developmental neuropsychology.

[18]  R. Poldrack.  Can cognitive processes be inferred from neuroimaging data? , 2006, Trends in Cognitive Sciences.

[19]  T. Braver,et al.  Functional specializations in lateral prefrontal cortex associated with the integration and segregation of information in working memory. , 2006, Cerebral cortex.

[20]  A. Meyer-Lindenberg,et al.  Catechol-O-Methyltransferase Val158Met Modulation of Prefrontal–Parietal–Striatal Brain Systems during Arithmetic and Temporal Transformations in Working Memory , 2007, The Journal of Neuroscience.

[21]  E. Spelke,et al.  Language and Conceptual Development series Core systems of number , 2004 .

[22]  G. Scerif,et al.  Executive Functioning as a Predictor of Children's Mathematics Ability: Inhibition, Switching, and Working Memory , 2001, Developmental neuropsychology.

[23]  C. Nelson,et al.  The functional emergence of prefrontally-guided working memory systems in four- to eight-year-old children , 1998, Neuropsychologia.

[24]  Andreas Nieder,et al.  A parieto-frontal network for visual numerical information in the monkey. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[25]  Jonathan D. Cohen,et al.  Conflict monitoring and anterior cingulate cortex: an update , 2004, Trends in Cognitive Sciences.

[26]  C. Blair,et al.  Relating effortful control, executive function, and false belief understanding to emerging math and literacy ability in kindergarten. , 2007, Child development.

[27]  F. Singer.  Beyond Conceptual Change: Using Representations to Integrate Domain-Specific Structural Models in Learning Mathematics , 2007 .

[28]  A. Miyake,et al.  Not All Executive Functions Are Related to Intelligence , 2006, Psychological science.

[29]  Pierre Barrouillet,et al.  Working memory and children's use of retrieval to solve addition problems. , 2005, Journal of experimental child psychology.

[30]  T. Senn,et al.  The Contribution of Executive Functions to Emergent Mathematic Skills in Preschool Children , 2004, Developmental neuropsychology.