Working memory, math performance, and math anxiety

The cognitive literature now shows how critically math performance depends on working memory, for any form of arithmetic and math that involves processes beyond simple memory retrieval. The psychometric literature is also very clear on the global consequences of mathematics anxiety. People who are highly math anxious avoid math: They avoid elective coursework in math, both in high school and college, they avoid college majors that emphasize math, and they avoid career paths that involve math. We go beyond these psychometric relationships to examine the cognitive consequences of math anxiety. We show how performance on a standardized math achievement test varies as a function of math anxiety, and that math anxiety compromises the functioning of working memory. High math anxiety works much like a dual task setting: Preoccupation with one’s math fears and anxieties functions like a resource-demanding secondary task. We comment on developmental and educational factors related to math and working memory, and on factors that may contribute to the development of math anxiety.

[1]  Paul Ayres Systematic Mathematical Errors and Cognitive Load. , 2001, Contemporary educational psychology.

[2]  Eric M. Anderman,et al.  The classroom environment and students' reports of avoidance strategies in mathematics: A multimethod study. , 2002 .

[3]  Sian L. Beilock,et al.  More on the fragility of performance: choking under pressure in mathematical problem solving. , 2004, Journal of experimental psychology. General.

[4]  Gordon D. Logan,et al.  What everyone finds: The problem-size effect. , 2005 .

[5]  Jeffrey Bisanz,et al.  Selection of Procedures in Mental Addition: Reassessing the Problem Size Effect in Adults , 1996 .

[6]  R. Siegler,et al.  The Development of Numerical Estimation , 2003, Psychological science.

[7]  Ray Hembree,et al.  The Nature, Effects, and Relief of Mathematics Anxiety. , 1990 .

[8]  M. Ashcraft,et al.  Elementary subtraction. , 2003, Journal of experimental psychology. Learning, memory, and cognition.

[9]  Mark H. Ashcraft,et al.  Math anxiety and its cognitive consequences: A tutorial review. , 2005 .

[10]  Jamie I. D. Campbell,et al.  Cognitive arithmetic across cultures. , 2001, Journal of experimental psychology. General.

[11]  Jamie I. D. Campbell Handbook of mathematical cognition , 2004 .

[12]  Jo-Anne LeFevre,et al.  Mathematical cognition and working memory. , 2005 .

[13]  R H Logie,et al.  Counting on working memory in arithmetic problem solving , 1994, Memory & cognition.

[14]  M. Ashcraft,et al.  The relationships among working memory, math anxiety, and performance. , 2001, Journal of experimental psychology. General.

[15]  Steven A Hecht,et al.  Counting on working memory in simple arithmetic when counting is used for problem solving , 2002, Memory & cognition.

[16]  G. Hitch,et al.  Separate roles for executive and phonological components of working memory in mental arithmetic , 2000, Memory & cognition.

[17]  Robert Plomin,et al.  Why is math so hard for some children? The nature and origins of mathematical learning difficulties and disabilities , 2007 .

[18]  Michael W. Faust Mathematics Anxiety Effects in Simple and Complex Addition , 1996 .

[19]  G J Hitch,et al.  Working memory and children's mental addition. , 1997, Journal of experimental child psychology.

[20]  M. Ashcraft,et al.  Is math anxiety a mathematical learning disability , 2007 .

[21]  Neil Charness,et al.  Age-related declines in working-memory skills : evidence from a complex calculation task , 1990 .

[22]  Loel Tronsky,et al.  Strategy use, the development of automaticity, and working memory involvement in complex multiplication , 2005, Memory & cognition.

[23]  Mark H. Ashcraft,et al.  Textbook Presentations of the Basic Addition Facts , 1986 .