On the relationship between math anxiety and math achievement in early elementary school: The role of problem solving strategies

Journal of Experimental Child Psychology

Volumn 141, Issue , 2016, Pages 83-100

  Ramirez, Gerardo ^a   Chang, Hyesang ^b   Maloney, Erin A ^b   Levine, Susan C ^b   Beilock, Sian L ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

Author keywords

Arithmetic strategies; Math anxiety; Math performance; Processing efficiency; Strategy development; Working memory

Indexed keywords

ACHIEVEMENT; ANXIETY; CHILD; FEAR; FEMALE; HUMAN; MALE; MATHEMATICS; PRESCHOOL CHILD; PROBLEM SOLVING; PSYCHOLOGY; SCHOOL; SELF REPORT; SHORT TERM MEMORY;

ACHIEVEMENT; ANXIETY; CHILD; CHILD, PRESCHOOL; FEAR; FEMALE; HUMANS; MALE; MATHEMATICS; MEMORY, SHORT-TERM; PROBLEM SOLVING; SCHOOLS; SELF REPORT;

EID: 84940780935     PISSN: 00220965     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jecp.2015.07.014     Document Type: Article

References (107)

1. Alibali M.W., DiRusso A.A. The function of gesture in learning to count: More than keeping track. Cognitive Development 1999, 14:37-56.
2. Ambady N., Shih M., Kim A., Pittinsky T.L. Stereotype susceptibility in children: Effects of identity activation on quantitative performance. Psychological Science 2001, 12:385-390.
3. Ashcraft M.H. The development of mental arithmetic: A chronometric approach. Developmental Review 1982, 2:213-236.
4. Ashcraft M.H. Math anxiety: Personal, educational, and cognitive consequences. Current Directions in Psychological Science 2002, 11:181-185.
5. Ashcraft M.H., Fierman B.A. Mental addition in third, fourth, and sixth graders. Journal of Experimental Child Psychology 1982, 33:216-234.
6. Ashcraft M.H., Kirk E.P. The relationships among working memory, math anxiety, and performance. Journal of Experimental Psychology: General 2001, 130:224-237.
7. Ashcraft M.H., Stazyk E.H. Mental addition: A test of three verification models. Memory & Cognition 1981, 9:185-196.
8. Baddeley A. The episodic buffer: A new component of working memory?. Trends in Cognitive Sciences 2000, 4:417-423.
9. Baron R.M., Kenny D.A. The moderator-mediator variable distinction in social psychological research: Conceptual, strategic, and statistical considerations. Journal of Personality and Social Psychology 1986, 51:1173-1182.
10. Barrouillet P., Lépine R. Working memory and children's use of retrieval to solve addition problems. Journal of Experimental Child Psychology 2005, 91:183-204.
11. Beilock S.L., DeCaro M.S. From poor performance to success under stress: Working memory, strategy selection, and mathematical problem solving under pressure. Journal of Experimental Psychology: Learning, Memory, and Cognition 2007, 33:983-998.
12. Beilock S.L., Gunderson E.A., Ramirez G., Levine S.C. Female teachers' math anxiety affects girls' math achievement. Proceedings of the National Academy of Sciences of the United States of America 2010, 107:1860-1863.
13. Beilock S.L., Kulp C.A., Holt L.E., Carr T.H. More on the fragility of performance: Choking under pressure in mathematical problem solving. Journal of Experimental Psychology: General 2004, 133:584-600.
14. Berkowitz, T., Schaeffer, M., Levine, S. C., & Beilock, S. (2015). Bedtime math with parents boosts children's math achievement. Unpublished manuscript.
15. Bryk A.S., Raudenbush S.W. Toward a more appropriate conceptualization of research on school effects: A three-level hierarchical linear model. American Journal of Education 1988, 97:65-108.
16. Bursal M., Paznokas L. Mathematics anxiety and pre-service elementary teachers' confidence to teach mathematics and science. School Science and Mathematics 2006, 106:173-179.
17. Carpenter T.P., Franke M.L., Jacobs V.R., Fennema E., Empson S.B. A longitudinal study of intervention and understanding in children's multidigit addition and subtraction. Journal for Research in Mathematics Education 1998, 29:3-20.
18. Carr M., Alexeev N. Fluency, accuracy, and gender predict developmental trajectories of arithmetic strategies. Journal of Educational Psychology 2011, 103:617-631.
19. Carr M., Hettinger-Steiner H., Kyser B., Biddlecomb B. A comparison of predictors of early emerging gender differences in mathematics competency. Learning and Individual Differences 2008, 18:61-75.
20. Carr M., Jessup D.L. Gender differences in first-grade mathematics strategy use: Social and metacognitive influences. Journal of Educational Psychology 1997, 89:318-328.
21. Carr M., Jessup D.L., Fuller D. Gender differences in first-grade mathematics strategy use: Parent and teacher contributions. Journal for Research in Mathematics Education 1999, 30:20-46.
22. Cho S., Ryali S., Geary D.C., Menon V. How does a child solve 7+8? Decoding brain activity patterns associated with counting and retrieval strategies. Developmental Science 2011, 14(5):989-1001.
23. Clements D., Sarama J. Early childhood mathematics intervention. Science 2011, 333:968-970.
24. Cokely E.T., Kelley C.M., Gilchrist A.L. Sources of individual differences in working memory: Contributions of strategy to capacity. Psychonomic Bulletin & Review 2006, 13:991-997.
25. Davis H., Carr M. Gender differences in strategy use: The influence of temperament. Learning and Individual Differences 2002, 13:83-95.
26. Davis E.L., Levine L.J. Emotion regulation strategies that promote learning: Reappraisal enhances children's memory for educational information. Child Development 2013, 84:361-374.
27. Davis E.L., Levine L.J., Quas J.A., Lench H.C. Metacognitive emotion regulation: Children's awareness that changing thoughts and goals can alleviate negative emotions. Emotion 2010, 10:498-510.
28. DeCaro M.S., Thomas R.D., Beilock S.L. Individual differences in category learning: Sometimes less working memory capacity is better than more. Cognition 2008, 107:284-294.
29. DeStefano D., LeFevre J.A. The role of working memory in mental arithmetic. European Journal of Cognitive Psychology 2004, 16:353-386.
30. Duncan G., Dowsett C., Claessens A., Magnuson K., Huston A., Klebanov P., et al. School readiness and later achievement. Developmental Psychology 2007, 43:1428-1446.
31. Engle R.W. Working memory capacity as executive attention. Current Directions in Psychological Science 2002, 11:19-23.
32. Eysenck M.W., Derakshan N. New perspectives in attention control theory. Personality and Individual Differences 2011, 50:955-960.
33. Fennema E., Carpenter T.P., Jacobs V.R., Franke M.L., Levi L.W. A longitudinal study of gender differences in young children's mathematical thinking. Educational Researcher 1998, 27:6-11.
34. Fuson K.C. Research on whole number addition and subtraction. Handbook of research on mathematics teaching and learning 1992, 243-275. Macmillan, New York. D. Grouws (Ed.).
35. Geary D.C. A componential analysis of an early learning deficit in mathematics. Journal of Experimental Child Psychology 1990, 49:363-383.
36. Geary D.C. Mathematical disabilities: Cognitive, neuropsychological, and genetic components. Psychological Bulletin 1993, 114:345-362.
37. Geary D.C. Consequences, characteristics, and causes of mathematical learning disabilities and persistent low achievement in mathematics. Journal of Developmental and Behavioral Pediatrics 2011, 32:250-263.
38. Geary D.C. Early foundations for mathematics learning and their relations to learning disabilities. Current Directions in Psychological Science 2013, 22:23-27.
39. Geary D.C., Hoard M.K., Byrd-Craven J., DeSoto M.C. Strategy choice in simple and complex addition: Contributions of working memory and counting knowledge for children with mathematical disability. Journal of Experimental Child Psychology 2004, 88:121-151.
40. Geary D.C., Widaman K.F., Little T.D., Cormier P. Cognitive addition: Comparison of learning disabled and academically normal elementary school children. Cognitive Development 1987, 2:249-269.
41. Gimmig D., Huguet P., Caverni J.P., Cury F. Choking under pressure and working memory capacity: When performance pressure reduces fluid intelligence (Gf). Psychonomic Bulletin & Review 2006, 13:1005-1010.
42. Ginsburg H.P. Mathematics learning disabilities: A view from developmental psychology. Journal of Learning Disabilities 1997, 30:20-33.
43. Gross J.J. The emerging field of emotion regulation: An integrative review. Review of General Psychology 1998, 2:271-299.
44. Harper N.W., Daane C.J. Causes and reduction of math anxiety in preserviceelementary teachers. Action in Teacher Education 1998, 19:29-38.
45. Hayes A. An index and test of linear moderated mediation. Multivariate Behavioral Research 2015, 50:1-22.
46. Hembree R. The nature, effects, and relief of mathematics anxiety. Journal for Research in Mathematics Education 1990, 21:33-46.
47. Hiebert J., Carpenter T. Learning and teaching with understanding. Handbook of research on mathematics teaching and learning 1992, 65-97. Macmillan, New York. D. Grouws (Ed.).
48. Holmes K.J., Lourenco S.F. Common spatial organization of number and emotional expression: A mental magnitude line. Brain and Cognition 2011, 77:315-323.
49. Imbo I., Vandierendonck A. The development of strategy use in elementary school children: Working memory and individual differences. Journal of Experimental Child Psychology 2007, 96:284-309.
50. Jones W.J., Childers T.L., Jiang Y. The shopping brain: Math anxiety modulates brain responses to buying decisions. Biological Psychology 2012, 89:201-213.
51. Jordan N., Huttenlocher J., Levine S. Assessing early arithmetic abilities: Effects of verbal and nonverbal response types on the calculation performance of middle- and low-income children. Learning and Individual Differences 1994, 6:413-432.
52. Jordan N.C., Levine S.C. Socioeconomic variation, number competence, and mathematics learning difficulties in young children. Development Disabilities Research Reviews 2009, 15:60-68.
53. Kaye D.B., deWinstanley P., Chen Q., Bonnefil V. Development of efficient arithmetic computation. Journal of Educational Psychology 1989, 81:467-480.
54. Kross E., Ayduk O. Facilitating adaptive emotional analysis: Distinguishing distanced-analysis of depressive experiences from immersed-analysis and distraction. Personality and Social Psychology Bulletin 2008, 34:924-938.
55. Laski E.V., Casey B.M., Yu Q., Dulaney A., Heyman M., Dearing E. Spatial skills as a predictor of first grade girls' use of higher level arithmetic strategies. Learning and Individual Differences 2013, 23:123-130.
56. LeFevre J., Smith-Chant B.L., Hiscock K., Daley K.E., Morris J. Young adults' strategic choices in simple arithmetic: Implications for the development of mathematical representations. The development of arithmetic concepts and skills: Constructing adaptive expertise 2003, Lawrence Erlbaum, Mahwah, NJ. A.J. Baroody, A. Dowker (Eds.).
57. Levine S.C., Suriyakham L., Rowe M., Huttenlocher J., Gunderson E.A. What counts in the development of children's number knowledge?. Developmental Psychology 2011, 46:1309-1313.
58. Lyons I.M., Beilock S.L. When math hurts: Math anxiety predicts pain network activation in anticipation of doing math. PLoS ONE 2012, 7:e48076.
59. Maloney E.A., Ansari D., Fugelsang J.A. The effect of mathematics anxiety on the processing of numerical magnitude. Quarterly Journal of Experimental Psychology 2011, 64:10-16.
60. Maloney E.A., Beilock S.L. Math anxiety: Who has it, why it develops, and how to guard against it. Trends in Cognitive Sciences 2012, 16:404-406.
61. Maloney E.A., Ramirez G., Gunderson E.A., Levine S.C., Beilock S.L. Intergenerational effects of parents' math anxiety on children's math achievement and anxiety. Psychological Science 2015, 10.1177/0956797615592630.
62. Maloney E.A., Risko E.F., Ansari D., Fugelsang J. Mathematics anxiety affects counting but not subitizing during visual enumeration. Cognition 2010, 114:293-297.
63. Mavilidi M.F., Hoogerheide V., Paas F. A quick and easy strategy to reduce test anxiety and enhance test performance. Applied Cognitive Psychology 2014, 28:720-726.
64. Mazzocco M.M., Devlin K.T., McKenney S.J. Is it a fact? Timed arithmetic performance of children with mathematical learning disabilities (MLD) varies as a function of how MLD is defined. Developmental Neuropsychology 2008, 33:318-344.
65. McMullan M., Jones R., Lea S. Patient safety: Numerical skills and drug calculation abilities of nursing students and registered nurses. Journal of Advanced Nursing 2010, 66:891-899.
66. McNeil N.M. U-shaped development in math: 7-year-olds outperform 9-year-olds on equivalence problems. Developmental Psychology 2007, 43:687-695.
67. Moely B.E., Hart S.S., Santulli K., Leal L., Johnson T., Rao N., et al. How do teachers teach memory skills?. Educational Psychologist 1986, 21:55-71.
68. National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
69. National Governors Association Center for Best Practices & Council of Chief State School Officers. (2010). Common Core state standards for mathematics. Washington, DC: Authors.
70. National Mathematics Advisory Panel. (2008). Foundations for Success: The Final Report of the National Mathematics Advisory Panel, U.S. Department of Education: Washington, DC.
71. Ochsner K.N., Gross J.J. The cognitive control of emotion. Trends in Cognitive Science 2005, 9:242-249.
72. Ochsner K.N., Silvers J.A., Buhle J.T. Functional imaging studies of emotion regulation: A synthetic review and evolving model of the cognitive control of emotion. Annals of the New York Academy of Sciences 2012, 1251:E1-E24.
73. Organization for Economic Cooperation and Development Mathematics self-beliefs and participation in mathematics-related activities. Students' engagement, drive, and self-beliefs 2013, Vol. 3. OECD Publishing, Paris.
74. Park D., Ramirez G., Beilock S.L. The role of expressive writing in math anxiety. Journal of Experimental Psychology: Applied 2014, 20:103-111.
75. Perry M., Breckinridge Church R., Goldin-Meadow S. Transitional knowledge in the acquisition of concepts. Cognitive Development 1988, 3:359-400.
76. Pozehl B. Mathematical calculation ability and mathematical anxiety of baccalaureate nursing students. Journal of Nursing Education 1996, 35:37-39.
77. Preacher K.J., Hayes A.F. SPSS and SAS procedures for estimating indirect effects in simple mediation models. Behavior Research Methods, Instruments, & Computers 2004, 36:717-731.
78. Ramirez G., Gunderson E.A., Levine S.C., Beilock S.L. Math anxiety, working memory, and math achievement in early elementary school. Journal of Cognition and Development 2013, 14:187-202.
79. Resnick L.B., Ford W.W. The psychology of mathematics for instruction 1981, Lawrence Erlbaum, Hillsdale, NJ.
80. Rittle-Johnson B., Star J.R. Does comparing solution methods facilitate conceptual and procedural knowledge? An experimental study on learning to solve equations. Journal of Educational Psychology 2007, 99:561-574.
81. Rittle-Johnson B., Star J.R., Durkin K. The importance of prior knowledge when comparing examples: Influences on conceptual and procedural knowledge of equation solving. Journal of Educational Psychology 2009, 101:836-852.
82. Rivera-Batiz F.L. Quantitative literacy and the likelihood of employment among young adults in the United States. Journal of Human Resources 1992, 27:313-328.
83. Rosen V.M., Engle R.W. The role of working memory capacity in retrieval. Journal of Experimental Psychology: General 1997, 126:211-227.
84. Schmader T., Johns M. Converging evidence that stereotype threat reduces working memory capacity. Journal of Personality and Social Psychology 2003, 85:440-452.
85. Schneider M., Rittle-Johnson B., Star J. Relations between conceptual knowledge, procedural knowledge, and procedural flexibility in two samples differing in prior knowledge. Developmental Psychology 2011, 47:1525-1538.
86. Seaman K.L., Howard D.V., Howard J.H. Adult age differences in subjective and objective measures of strategy use on a sequentially cued prediction task. Aging, Neuropsychology, and Cognition 2015, 22:170-182.
87. Siegler R.S. The perils of averaging data over strategies: An example from children's addition. Journal of Experimental Psychology: General 1987, 116:250-264.
88. Siegler R.S. Mechanisms of cognitive development. Annual Review of Psychology 1989, 40:353-379.
89. Siegler R.S., Jenkins E. How children discover new strategies 1989, Lawrence Erlbaum, Hillsdale, NJ.
90. Siegler R.S., Shrager J. Strategy choices in addition and subtraction: How do children know what to do. Origins of cognitive skills 1984, 229-293. Lawrence Erlbaum, Hillsdale, NJ. C. Sophian (Ed.).
91. Silvers J.A., Buhle J.T., Ochsner K.N. The neuroscience of emotion regulation: Basic mechanisms and their role in development, aging, and psychopathology. The cutting edges 2013, Vol. 2:52-78. Oxford University Press, New York. K.N. Ochsner, S.M. Kosslyn (Eds.).
92. Silvers J.A., Shu J., Hubbard A.D., Weber J., Ochsner K.N. Concurrent and lasting effects of emotion regulation on amygdala response in adolescence and young adulthood. Developmental Science 2015, 18:771-784.
93. Star J., Rittle-Johnson B. It pays to compare: An experimental study on computational estimation. Journal of Experimental Child Psychology 2009, 102:408-426.
94. Star J.R., Seifert C. The development of flexibility in equation solving. Contemporary Educational Psychology 2006, 31:280-300.
95. Starkey, P., & Klein, A. (2006). The early development of mathematical cognition in socioeconomic and cultural contexts. Retrieved from. http://drdc.uchicago.edu/community/project.php?projectID=45.
96. Suinn R.M., Taylor S., Edwards R.W. Suinn Mathematics Anxiety Rating Scale for Elementary School Students (MARS-E): Psychometric and normative data. Educational and Psychological Measurement 1988, 48:979-986.
97. Suri R., Monroe K.B., Koc U. Math anxiety and its effects on consumers' preference for price promotion formats. Journal of the Academy of Marketing Science 2013, 41:271-282.
98. Swars S.L., Daane C.J., Giesen J. Mathematics anxiety and mathematics teacher efficacy: What is the relationship in elementary preservice teachers?. School Science and Mathematics 2006, 106:306-315.
99. Threlfall M. Strategies and flexibility in mental calculation. ZDM-International Journal on Mathematics Education 2009, 41:541-555.
100. Vukovic R.K., Kieffer M.J., Bailey S.P., Harari R.R. Mathematics anxiety in young children: Concurrent and longitudinal associations with mathematical performance. Contemporary Educational Psychology 2013, 38:1-10.
101. Vukovic R.K., Roberts S.O., Green Wright L. From parental involvement to children's mathematical performance: The role of mathematics anxiety. Early Education and Development 2013, 24:446-467.
102. Wechsler D. WISC-III: Wechsler Intelligence Scale for Children 1991, Psychological Corporation, San Antonio, TX.
103. Wigfield A., Meece J.L. Math anxiety in elementary and secondary school students. Journal of Educational Psychology 1988, 80:210-216.
104. Woodcock R.W., McGrew K.S., Mather N. Woodcock-Johnson III tests of achievement 2001, Riverside, Itasca, IL.
105. Woodward, J., Beckmann, S., Driscoll, M., Franke, M., Herzig, P., Jitendra, A., Koedinger, K. R., & Ogbuehi, P. (2012). Improving mathematical problem solving in Grades 4 through 8. Retrieved from. http://ies.ed.gov/ncee/wwc/pdf/practice:guides/mps_pg_052212.pdf.
106. Young C.B., Wu S.S., Menon V. The neurodevelopmental basis of math anxiety. Psychological Science 2012, 23:492-501.
107. Zbrodoff N.J., Logan G.D. On the autonomy of mental processes: A case study of arithmetic. Journal of Experimental Psychology: General 1986, 115:118-130.