The Relation Between Mathematics Anxiety and Mathematics Performance Among School-Aged Students: A Meta-Analysis

Abstract

The purpose of this meta-analysis was to examine the relation between mathematics anxiety (MA) and mathematics performance among school-aged students, and to identify potential moderators and underlying mechanisms of such relation, including grade level, temporal relations, difficulty of mathematical tasks, dimensions of MA measures, effects on student grades, and working memory. A meta-analysis of 131 studies with 478 effect sizes was conducted. The results indicated that a significant negative correlation exist between MA and mathematics performance, r = −.34. Moderation analyses indicated that dimensions of MA, difficulty of mathematical tasks, and effects on student grades differentially affected the relation between MA and mathematics performance. MA assessed with both cognitive and affective dimensions showed a stronger negative correlation with mathematics performance compared to MA assessed with either an affective dimension only or mixed/unspecified dimensions. Advanced mathematical tasks that require multistep processes showed a stronger negative correlation to MA compared to foundational mathematical tasks. Mathematics measures that affected/reflected student grades (e.g., final exam, students’ course grade, GPA) had a stronger negative correlation to MA than did other measures of mathematics performance that did not affect student grades (e.g., mathematics measures administered as part of research). Theoretical and practical implications of the findings are discussed.

Keywords

mathematics anxiety mathematics performance

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References

Aarnos

Perkkilä

(2012). Early signs of mathematics anxiety? Procedia-Social and Behavioral Sciences, 46, 1495–1499. doi:10.1016/j.sbspro.2012.05.328

*Abu-Hilal

M. M.

(2000). A structural model for predicting mathematics achievement: Its relation with anxiety and self-concept in mathematics. Psychological Reports, 86, 835–847. doi:10.2466%2Fpr0.2000.86.3.835

*Ahmed

Minnaert

van der Werf

Kuyper

(2010). Perceived social support and early adolescents’ achievement: The mediational roles of motivational beliefs and emotions. Journal of Youth and Adolescence, 39, 36–46. doi:10.1007/s10964-008-9367-7

Aiken

L. R.

Jr. (1976). Update on attitudes and other affective variables in learning mathematics. Review of Educational Research, 46, 293–311. doi:10.3102%2F00346543046002293

Ashcraft

M. H.

Faust

M. W.

(1994). Mathematics anxiety and mental arithmetic performance: An exploratory investigation. Cognition and Emotion, 8, 97–125. doi:10.1080/02699939408408931

Ashcraft

M. H.

Kirk

E. P.

(2001). The relationships among working memory, math anxiety, and performance. Journal of Experimental Psychology: General, 130, 224–237. doi:10.1037/0096-3445.130.2.224

Ashcraft

M. H.

Kirk

E. P.

Hopko

(1998). On the cognitive consequences of mathematics anxiety. In Donlan

(Ed.), Studies in developmental psychology. The development of mathematical skills (pp. 175–196). Hove, England: Psychology Press/Taylor & Francis.

Ashcraft

M. H.

Krause

J. A.

(2007). Working memory, math performance, and math anxiety. Psychonomic Bulletin & Review, 14, 243–248. doi:10.3758%2FBF03194059

Ashcraft

M. H.

Moore

A. M.

(2009). Mathematics anxiety and the affective drop in performance. Journal of Psychoeducational Assessment, 27, 197–205. doi:10.1177%2F0734282908330580

10.

*Awofala

A. O.

(2014). Examining personalization of instruction, attitudes toward and achievement in mathematics word problems among Nigerian senior secondary school students. International Journal of Education in Mathematics, Science and Technology, 2, 273–288. Retrieved from http://dergipark.gov.tr/ijemst/issue/8006/105108

11.

Baddeley

Logie

Bressi

Sala

S. D.

Spinnler

(1986). Dementia and working memory. Quarterly Journal of Experimental Psychology Section A, 38, 603–618. doi:10.1080%2F14640748608401616

12.

*Bai

(2011). Cross-validating a bidimensional mathematics anxiety scale. Assessment, 18, 115–122. doi:10.1177%2F1073191110364312

13.

*Baya’a

N. F.

(1990). Mathematics anxiety, mathematics achievement, gender, and socio-economic status among Arab secondary students in Israel. International Journal of Mathematical Education in Science and Technology, 21, 319–324. doi:10.1080/0020739900210221

14.

*Beasley

T. M.

Long

J. D.

Natali

(2001). A confirmatory factor analysis of the mathematics anxiety scale for children. Measurement and Evaluation in Counseling and Development, 34, 14–26.

15.

Beilock

S. L.

Carr

T. H.

(2005). When high–powered people fail: Working memory and “choking under pressure” in math. Psychological Science, 16, 101–105. doi:10.1111%2Fj.0956–7976.2005.00789.x

16.

Beilock

S. L.

DeCaro

M. S.

(2007). From poor performance to success under stress: Working memory, strategy selection, and mathematical problem solving under pressure. Journal of Experimental Psychology, 33, 983–998. doi:10.1037/0278–7393.33.6.983

17.

*Bennett

B. K.

(1982). The relationship between mathematics anxiety and number pattern recognition in sixth grade students (Doctoral dissertation). The American University, Washington, DC.

18.

Berman

(1985). The relation between fear of success, field–dependence and math anxiety to mathematics achievement in bright boys: A theoretical model (Doctoral dissertation). New York University, New York.

19.

*Birgin

Baloğlu

Çatlıoğlu

Gürbüz

(2010). An investigation of mathematics anxiety among sixth through eighth grade students in Turkey. Learning and Individual Differences, 20, 654–658. doi:10.1016/j.lindif.2010.04.006

20.

Bong

(2009). Age-related differences in achievement goal differentiation. Journal of Educational Psychology, 101, 879–896. doi:0.1037/a0015945

21.

Borenstein

Hedges

L. V.

Higgins

Rothstein

(2005). Comprehensive meta-analysis 2.0. Englewood Cliffs, NJ: Biostat.

22.

*Bosmans

De Smedt

(2015). Insecure attachment is associated with math anxiety in middle childhood. Frontiers in Psychology, 6, 1596–1596. doi:10.3389/fpsyg.2015.01596

23.

*Brassell

Petry

Brooks

D. M.

(1980). Ability grouping, mathematics achievement, and pupil attitudes toward mathematics. Journal for Research in Mathematics Education, 11, 22–28.

24.

*Carey

Devine

Hill

Szűcs

(2017). Differentiating anxiety forms and their role in academic performance from primary to secondary school. PloS One, 12. doi:10.137/journal.pone.0174418

25.

Carey

Hill

Devine

Szücs

(2016). The chicken or the egg? The direction of the relationship between mathematics anxiety and mathematics performance. Frontiers in Psychology, 6, 1987–1987. doi:10.3389/fpsyg.2015.01987

26.

*Cargnelutti

Tomasetto

Passolunghi

M. C.

(2017a). How is anxiety related to math performance in young students? A longitudinal study of grade 2 to grade 3 children. Cognition and Emotion, 31, 755–764. doi:10.1080/02699931.2016.1147421

27.

*Cargnelutti

Tomasetto

Passolunghi

M. C.

(2017b). The interplay between affective and cognitive factors in shaping early proficiency in mathematics. Trends in Neuroscience and Education, 8, 28–36. doi:10.1016/j.tine.2017.10.002

28.

*Casad

B. J.

Hale

Wachs

F. L.

(2015). Parent-child math anxiety and math-gender stereotypes predict adolescents’ math education outcomes. Frontiers in Psychology, 6, 1–21. doi:10.3389/fpsyg.2015.01597

29.

*Casey

M. B.

Nuttall

R. L.

Pezaris

(1997). Mediators of gender differences in mathematics college entrance test scores: A comparison of spatial skills with internalized beliefs and anxieties. Developmental Psychology, 33, 669–680. doi:10.1037/0012–1649.33.4.669

30.

*Catapano

(2013). Tenth-grade high school students’ mathematical self–efficacy, mathematics anxiety, attitudes toward mathematics, and performance on the New York State Integrated Algebra Regents Examination (Doctoral dissertation). Available from ProQuest Dissertations and Theses database. (UMI No. 3572381)

31.

*Caviola

Primi

Chiesi

Mammarella

I. C.

(2017). Psychometric properties of the Abbreviated Math Anxiety Scale (AMAS) in Italian primary school children. Learning and Individual Differences, 55, 174–182. http://dx.doi.org/10.1016%2Fj.lindif.2017.03.006

32.

Ceci

S. J.

Williams

W. M.

(1997). Schooling, intelligence, and income. American Psychologist, 52, 1051–1058. doi:10.1037/0003-066X.52.10.1051

33.

*Cheema

J. R.

Sheridan

(2015). Time spent on homework, mathematics anxiety and mathematics achievement: Evidence from a US sample. Issues in Educational Research, 25, 246–259.

34.

Cheung

M. W. L.

(2015). Meta-analysis: A structural equation modeling approach. New York: NY: John Wiley.

35.

*Ching

B. H. H.

(2017). Mathematics anxiety and working memory: Longitudinal associations with mathematical performance in Chinese children. Contemporary Educational Psychology, 51, 99–113. doi:10.1016/j.cedpsych.2017.06.006

36.

*Chiu

L. H.

Henry

L. L.

(1990). Development and validation of the Mathematics Anxiety Scale for Children. Measurement and Evaluation in Counseling and Development, 23, 121–127.

37.

*Ciftci

S. K.

(2015). Effects of secondary school students’ perceptions of mathematics education quality on mathematics anxiety and achievement. Educational Sciences: Theory and Practice, 15, 1487–1501. doi:10.12738/estp.2015.6.2829

38.

Cohen

West

S. G.

Aiken

L. S.

(2013). Applied multiple regression/correlation analysis for the behavioral sciences. New York, NY: Routledge.

39.

Cromley

J. G.

Snyder–Hogan

L. E.

Luciw–Dubas

U. A.

(2010). Reading comprehension of scientific text: A domain–specific test of the direct and inferential mediation model of reading comprehension. Journal of Educational Psychology, 102, 687–700.

40.

Deffenbacher

J. L.

(1986). Cognitive and physiological components of test anxiety in real-life exams. Cognitive Therapy and Research, 10, 635–644. doi:10.1007/BF01173751

41.

*Delaney

R. A.

(1981). An anecdotal and historical approach to mathematics (Doctoral dissertation). New York University, New York.

42.

Deutsch

Tobias

(1980, September). Prior achievement, anxiety, and instructional method. Paper presented at the 88th annual meeting of the American Psychological Association, Montreal, Quebec, Canada.

43.

*Devine

Fawcett

Szűcs

Dowker

(2012). Gender differences in mathematics anxiety and the relation to mathematics performance while controlling for test anxiety. Behavioral and Brain Functions, 8, 1–9. doi:10.1186/1744-9081-8-33

44.

*Devine

Hill

Carey

Szűcs

(2018). Cognitive and emotional math problems largely dissociate: Prevalence of developmental dyscalculia and mathematics anxiety. Journal of Educational Psychology, 110, 431–444. doi:10.1037/edu0000222

45.

*Dlamini

M. S.

(1998). The relationship between students’ attitude toward mathematics and achievement in mathematics in Swaziland (Doctoral dissertation). The Ohio State University, Columbus.

46.

Doctor

R. M.

Altman

(1969). Worry and emotionality as components of test anxiety: Replication and further data. Psychological Reports, 24, 563–568. doi:10.2466/pr0.1969.24.2.563

47.

*Donnelly

D. F.

(1986). The effect of a high school computer studies course on achievement and anxiety level in mathematics (Doctoral dissertation), Northern Arizona University, Flagstaff.

48.

*Eccles

J. S.

Jacobs

J. E.

(1986). Social forces shape math attitudes and performance. Signs: Journal of Women in Culture and Society, 11, 367–380. doi:10.1086/494229

49.

Egger

Smith

G. D.

Schneider

Minder

(1997). Bias in meta-analysis detected by a simple, graphical test. British Medical Journal, 315, 629–634. doi:10.1136/bmj.315.7109.629

50.

*Engelhard

(1990). Math anxiety, mother’s education, and the mathematics performance of adolescent boys and girls: Evidence from the United States and Thailand. Journal of Psychology, 124, 289–298. doi:10.1080/00223980.1990.10543224

51.

*Erturan

Jansen

(2015). An investigation of boys’ and girls’ emotional experience of math, their math performance, and the relation between these variables. European Journal of Psychology of Education, 30, 421–435. doi:10.1007/s10212-015-0248-7

52.

Eysenck

M. W.

Calvo

M. G.

(1992). Anxiety and performance: The processing efficiency theory. Cognition and Emotion, 6, 409–434. doi:10.1080/02699939208409696

53.

*Federici

R. A.

Skaalvik

E. M.

(2014). Students’ perceptions of emotional and instrumental teacher support: Relations with motivational and emotional responses. International Education Studies, 7, 21–36. doi:10.5539/ies.v7n1p21

54.

*Ferla

Valcke

Cai

(2009). Academic self-efficacy and academic self-concept: Reconsidering structural relationships. Learning and Individual Differences, 19, 499–505. doi:10.1016/j.lindif.2009.05.004

55.

*Frenzel

A. C.

Thrash

T. M.

Pekrun

Goetz

(2007). Achievement emotions in Germany and China: A cross-cultural validation of the Academic Emotions Questionnaire-Mathematics. Journal of Cross-Cultural Psychology, 38, 302–309. doi:10.1177%2F0022022107300276

56.

Fuchs

L. S.

Fuchs

Compton

D. L.

Powell

S. R.

Seethaler

P. M.

Capizzi

A. M.

. . . Fletcher

J. M.

(2006). The cognitive correlates of third–grade skill in arithmetic, algorithmic computation, and arithmetic word problems. Journal of Educational Psychology, 98, 29–43. doi:10.1037/0022-0663.98.1.29

57.

Fuchs

L. S.

Geary

D. C.

Compton

D. L.

Fuchs

Hamlett

C. L.

Seethaler

P. M.

. . . Schatschneider

(2010). Do different types of school mathematics development depend on different constellations of numerical versus general cognitive abilities? Developmental Psychology, 46, 1731–1746.

58.

*Ganley

C. M.

McGraw

A. L.

(2016). The development and validation of a revised version of the math anxiety scale for young children. Frontiers in Psychology, 7, 1181–1181. doi:10.3389/fpsyg.2016.01181

59.

*Gaskill

J. L.

(1979). The emotional block in mathematics: A multivariate study (Doctoral dissertation). University of British Columbia, Vancouver, British Columbia, Canada. doi:10.14288/1.0055082

60.

Geary

D. C.

(2011). Consequences, characteristics, and causes of mathematical learning disabilities and persistent low achievement in mathematics. Journal of Developmental & Behavioral Pediatrics, 32, 250–263.

61.

*Gierl

M. J.

Bisanz

(1995). Anxieties and attitudes related to mathematics in grades 3 and 6. Journal of Experimental Education, 63, 139–158. doi:10.1080/00220973.1995.9943818

62.

*Gliner

G. S.

(1987). The relationship between mathematics anxiety and achievement variables. School Science and Mathematics, 87, 81–87. doi:10.1111/j.1949–8594.1987.tb11679.x

63.

*Goetz

Frenzel

A. C.

Lüdtke

Hall

N. C.

(2010). Between-domain relations of academic emotions: Does having the same instructor make a difference? Journal of Experimental Education, 79, 84–101. doi:10.1080/00220970903292967

64.

*Goetz

Frenzel

A. C.

Pekrun

Hall

N. C.

(2006). The domain specificity of academic emotional experiences. Journal of Experimental Education, 75, 5–29. doi:10.3200/JEXE.75.1.5-29

65.

*Goetz

Frenzel

A. C.

Pekrun

Hall

N. C.

Ludtke

(2007). Between-and within-domain relations of students’ academic emotions. Journal of Educational Psychology, 99, 715–733. doi:10.1037/0022–0663.99.4.715

66.

*Gogol

Brunner

Goetz

Martin

Ugen

Keller

. . . Preckel

(2014). “My Questionnaire is too long!” The assessments of motivational-affective constructs with three-item and single-item measures. Contemporary Educational Psychology, 39, 188–205. doi:10.1016/j.cedpsych.2014.04.002

67.

*Gomez

Vance

Watson

S. D.

(2016). Structure of the Wechsler Intelligence Scale for children–fourth edition in a group of children with ADHD. Frontiers in Psychology, 7, 737–737. doi:10.3389/fpsyg.2016.00737

68.

Gottfredson

L. S.

(2004). Intelligence: Is it the epidemiologists’ elusive “fundamental cause” of social class inequalities in health. Journal of Personality and Social Psychology, 86, 174–199.

69.

*Grays

S. D.

Rhymer

K. N.

Swartzmiller

M. D.

(2017). Moderating effects of mathematics anxiety on the effectiveness of explicit timing. Journal of Behavioral Education, 26, 188–200. doi:10.1007/s10864–016–9251–6

70.

*Green

J. J.

(1991). Mathematics anxiety and attitudes towards mathematics at the secondary level (Doctoral dissertation). University of New England, Biddeford, MN.

71.

*Gunderson

E. A.

Park

Maloney

E. A.

Beilock

S. L.

Levine

S. C.

(2018). Reciprocal relations among motivational frameworks, math anxiety, and math achievement in early elementary school. Journal of Cognition and Development, 19, 21–46. doi:10.1080/15248372.2017.1421538

72.

*Guven

Cabakcor

B. O.

(2013). Factors influencing mathematical problem-solving achievement of seventh grade Turkish students. Learning and Individual Differences, 23, 131–137. doi:10.1016/j.lindif.2012.10.003

73.

*Hadfield

O. D.

Martin

J. V.

Wooden

(1992). Mathematics anxiety and learning style of the Navajo middle school student. S chool Science and Mathematics, 92, 171–176. doi:10.1111/j.1949–8594.1992.tb12167.x

74.

*Hamid

M. H. S.

Shahrill

Matzin

Mahalle

Mundia

(2013). Barriers to mathematics achievement in Brunei secondary school students: Insights into the roles of mathematics anxiety, self-esteem, proactive coping, and test stress. International Education Studies, 6, 1–14. doi:10.5539/ies.v6n11p1

75.

*Harari

R. R.

Vukovic

R. K.

Bailey

S. P.

(2013). Mathematics anxiety in young children: an exploratory study. Journal of Experimental Education, 81, 538–555. doi:10.1080/00220973.2012.727888

76.

*Hart

S. A.

Logan

J. A.

Thompson

Kovas

McLoughlin

Petrill

S. A.

(2016). A latent profile analysis of math achievement, numerosity, and math anxiety in twins. Journal of Educational Psychology, 108, 181–193. doi:10.1037/edu0000045

77.

Hedberg

E. C.

(2011). ROBUMETA: Stata module to perform robust variance estimation in meta-regression with dependent effect size estimates. Boston, MA: Boston College, Department of Economics.

78.

Hedges

L. V.

Tipton

Johnson

M. C.

(2010). Robust variance estimation in meta-regression with dependent effect size estimates. Research Synthesis Methods, 1, 39–65. doi:10.1002/jrsm.5

79.

Hembree

(1990). The nature, effects, and relief of mathematics anxiety. Journal for Research in Mathematics Education, 21, 33–46. doi:10.2307/749455

80.

*Henry

(2017). The role of math anxiety and situational anxiety in math performance (Doctoral dissertation). The University of Chicago, IL.

81.

*Henschel

Roick

(2017). Relationships of mathematics performance, control and value beliefs with cognitive and affective math anxiety. Learning and Individual Differences, 55, 97–107. doi:10.1016%2Fj.lindif.2017.03.009

82.

*Hill

Mammarella

I. C.

Devine

Caviola

Passolunghi

M. C.

Szűcs

(2016). Maths anxiety in primary and secondary school students: Gender differences, developmental changes and anxiety specificity. Learning and Individual Differences, 48, 45–53. doi:10.1016/j.lindif.2016.02.006

83.

H. Z.

Senturk

Lam

A. G.

Zimmer

J. M.

Hong

Okamoto

. . . Wang

C. P.

(2000). The affective and cognitive dimensions of math anxiety: A cross-national study. Journal for Research in Mathematics Education, 31, 362–379.

84.

*Hunt

T. E.

Bhardwa

Sheffield

(2017). Mental arithmetic performance, physiological reactivity and mathematics anxiety amongst UK primary school children. Learning and Individual Differences, 57, 129–132. doi:10.1016/j.lindif.2017.03.016.

85.

Hong

Yoo

S. K.

You

C. C.

(2010). The reciprocal relationship between parental involvement and mathematics achievement: Autoregressive cross–lagged modeling. Journal of Experimental Education, 78, 419–439. doi:10.1080/00220970903292926

86.

Hopko

D. R.

(2003). Confirmatory factor analysis of the Math Anxiety Rating Scale–Revised. Educational and Psychological Measurement, 63, 336–351. doi:10.1177/0013164402251041

87.

Hopko

D. R.

Mahadevan

Bare

R. L.

Hunt

M. K.

(2003). The Abbreviated Math Anxiety Scale (AMAS) construction, validity, and reliability. Assessment, 10, 178–182. doi:10.1177/1073191103010002008

88.

*Jameson

M. M.

(2013). The development and validation of the Children’s Anxiety in Math Scale. Journal of Psychoeducational Assessment, 31, 391–395. doi:10.1177%2F0734282912470131

89.

*Justicia-Galiano

M. J.

Martín-Puga

M. E.

Linares

Pelegrina

(2017). Math anxiety and math performance in children: The mediating roles of working memory and math self-concept. British Journal of Educational Psychology, 87, 573–589. doi:10.1111/bjep.12165

90.

*Kalaycioglu

D. B.

(2015). The influence of socioeconomic status, self-efficacy, and anxiety on mathematics achievement in England, Greece, Hong Kong, the Netherlands, Turkey, and the USA. Educational Sciences: Theory & Practice, 15, 1391–1401. doi:10.12738/estp.2015.5.2731

91.

Kellogg

J. S.

Hopko

D. R.

Ashcraft

M. H.

(1999). The effects of time pressure on arithmetic performance. Journal of Anxiety Disorders, 13, 591–600. doi:10.1016/S0887-6185(99)00025-0

92.

*Kim

Park

S. W.

Cozart

(2014). Affective and motivational factors of learning in online mathematics courses. British Journal of Educational Technology, 45, 171–185. doi:10.1111/j.1467-8535.2012.01382.x

93.

Krinzinger

Kaufmann

Willmes

(2009). Math anxiety and math ability in early primary school years. Journal of Psychoeducational Assessment, 27, 206–225. doi:10.1177/0734282908330583

94.

*Kyttälä

Björn

P. M.

(2010). Prior mathematics achievement, cognitive appraisals and anxiety as predictors of Finnish students’ later mathematics performance and career orientation. Educational Psychology, 30, 431–448. doi:10.1080/01443411003724491

95.

*Kyttälä

Björn

P. M.

(2014). The role of literacy skills in adolescents’ mathematics word problem performance: Controlling for visuo-spatial ability and mathematics anxiety. Learning and Individual Differences, 29, 59–66. doi:10.1016/j.lindif.2013.10.010

96.

*Lee

B. Y.

(1991). The effects of learner control and adaptive information in mathematics computer-assisted instruction on achievement and task-related anxiety (Doctoral dissertation). Florida Institute of Technology, Melbourne.

97.

*Lee

(2009). Self-constructs and anxiety across cultures (Research Report No. ETS RR-09-12). Princeton, NJ: Educational Testing Service. Retrieved from www.ets.org/research/policy_research_reports/publications/report/2009/hvsn

98.

*Lewellyn

R. J.

(1990). Gender differences in achievement, self-efficacy, anxiety, and attributions in mathematics among primarily black junior high school students (Doctoral dissertation). The University of Akron, Akron, OH.

99.

Lichtenfeld

Pekrun

Stupnisky

R. H.

Reiss

Murayama

(2012). Measuring students’ emotions in the early years: The Achievement Emotions Questionnaire–Elementary School (AEQ-ES). Learning and Individual Differences, 22, 190–201.

100.

Liebert

R. M.

Morris

L. W.

(1967). Cognitive and emotional components of test anxiety: A distinction and some initial data. Psychological Reports, 20, 975–978. doi:10.2466%2Fpr0.1967.20.3.975

101.

*Lim

S. Y.

Chapman

(2013). An investigation of the Fennema-Sherman mathematics anxiety subscale. Measurement and Evaluation in Counseling and Development, 46, 26–37. doi:10.1177/0748175612459198

102.

*Lim

S. Y.

Chapman

(2015). Identifying affective domains that correlate and predict mathematics performance in high-performing students in Singapore. Educational Psychology, 35, 747–764. doi:10.1080/01443410.2013.860221

103.

Lipsey

M. W.

Wilson

D. B.

(2001). Practical meta-analysis. Thousand Oaks, CA: Sage.

104.

*Luo

Aye

K. M.

Hogan

Kaur

Chan

M. C. Y.

(2013). Parenting behaviors and learning of Singapore students: The mediational role of achievement goals. Motivation and Emotion, 37, 274–285. doi:10.1007/s11031012-9303-8

105.

*Luo

Hogan

Tan

L. S.

Kaur

P. T.

Chan

(2014). Self-construal and students’ math self-concept, anxiety and achievement: An examination of achievement goals as mediators. Asian Journal of Social Psychology, 17, 184–195. doi:10.1111/ajsp.12058

106.

*Luo

Lee

P. T.

Ong

J. X. W.

(2014). Incremental beliefs of ability, achievement emotions and learning of Singapore students. Educational Psychology, 34, 619–634. doi:10.1080/01443410.2014.909008

107.

Lukowski

S. L.

DiTrapani

Jeon

Wang

Schenker

V. J.

Doran

. . . Petrill

S. A.

(2019). Multidimensionality in the measurement of math–specific anxiety and its relationship with mathematical performance. Learning and Individual Differences, 70, 228–235. doi:10.1016/j.lindif.2016.07.007

108.

*Lupkowski

A. E.

Schumacker

R. E.

(1991). Mathematics anxiety among talented students. Journal of Youth and Adolescence, 20, 563–572. doi:10.1007/BF01537362

109.

(1999). A meta-analysis of the relationship between anxiety toward mathematics and achievement in mathematics. Journal for Research in Mathematics Education, 30, 520–540. doi:10.2307/749772

110.

(2004). The causal ordering of mathematics anxiety and mathematics achievement: A longitudinal panel analysis. Journal of Adolescence, 27, 165–179. doi:10.1016/j.adolescence.2003.11.003

111.

Maloney

E. A.

Ansari

Fugelsang

J. A.

(2011). Rapid communication: The effect of mathematics anxiety on the processing of numerical magnitude. Quarterly Journal of Experimental Psychology, 64, 10–16. doi:10.1080%2F17470218.2010.533278

112.

Maloney

E. A.

Risko

E. F.

Ansari

Fugelsang

(2010). Mathematics anxiety affects counting but not subitizing during visual enumeration. Cognition, 114, 293–297. doi:10.1016/j.cognition.2009.09.013

113.

Mandler

Sarason

S. B.

(1952). A study of anxiety and learning. Journal of Abnormal and Social Psychology, 47, 166–173. doi:10.1037/h0062855

114.

*Marsh

H. W.

(1988). The content specificity of math and English anxieties: The high school and beyond study. Anxiety Research, 1, 137–149. doi:10.1080/10615808808248226

115.

*Marsh

H. W.

Pekrun

Parker

P. D.

Murayama

Guo

Dicke

Lichtenfeld

(2017). Long-term positive effects of repeating a year in school: Six-year longitudinal study of self-beliefs, anxiety, social relations, school grades, and test scores. Journal of Educational Psychology, 109, 425–438. doi:10.1037/edu0000144

116.

*McMillian

K. S.

(2017). An examination of elementary math anxiety, self-efficacy, and academic achievement (Doctoral dissertation). Available from ProQuest Dissertations and Theses database. (UMI No.10270027)

117.

*Meece

J. L.

Wigfield

Eccles

J. S.

(1990). Predictors of math anxiety and its influence on young adolescents’ course enrollment intentions and performance in mathematics. Journal of Educational Psychology, 82, 60–70. doi:10.1037/0022-0663.82.1.60

118.

*Mevarech

Z. R.

Silber

Fine

(1991). Learning with computers in small groups: Cognitive and affective outcomes. Journal of Educational Computing Research, 7, 233–243. doi:10.2190%2FBRCJ-P9K5-9E1D-2ALC

119.

Miller

Bichsel

(2004). Anxiety, working memory, gender, and math performance. Personality and Individual Differences, 37, 591–606. doi:10.1016/j.paid.2003.09.029

120.

*Miller

S. F.

(1991). A study of the relationship of mathematics anxiety to grade level, gender, intelligence, and mathematics achievement (Doctoral dissertation). Memphis State University, Memphis, TN.

121.

*Morony

Kleitman

Lee

Y. P.

Stankov

(2013). Predicting achievement: Confidence vs self-efficacy, anxiety, and self-concept in Confucian and European countries. I nternational Journal of Educational Research, 58, 79–96. doi:10.1016/j.ijer.2012.11.002

122.

Morris

L. W.

Liebert

R. M.

(1970). Relationship of cognitive and emotional components of test anxiety to physiological arousal and academic performance. Journal of Consulting and Clinical Psychology, 35, 332–337. doi:10.1037/h0030132

123.

Namkung

J. M.

Fuchs

L. S.

(2016). Cognitive predictors of calculations and number line estimation with whole numbers and fractions among at–risk students. Journal of Educational Psychology, 108, 214–228. doi:10.1037/edu0000055

124.

National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the National Mathematics Advisory Panel. Washington, DC: U.S. Department of Education.

125.

*Ottmar

Landy

(2017). Concreteness fading of algebraic instruction: Effects on learning. Journal of the Learning Sciences, 26, 51–78. doi:10.1080/10508406.2016.1250212

126.

*Pajares

(1996). Self-efficacy beliefs and mathematical problem-solving of gifted students. Contemporary Educational Psychology, 21, 325–344. doi:10.1006/ceps.1996.0025

127.

*Pajares

Graham

(1999). Self-efficacy, motivation constructs, and mathematics performance of entering middle school students. Contemporary Educational Psychology, 24, 124–139. doi:10.1006/ceps.1998.0991

128.

*Pajares

Kranzler

(1995). Self-efficacy beliefs and general mental ability in mathematical problem-solving. Contemporary Educational Psychology, 20, 426–443. doi:10.1006/ceps.1995.1029

129.

*Pajares

Urdan

(1996). Exploratory factor analysis of The Mathematics Anxiety Scale. Measurement and Evaluation in Counseling and Development, 29, 35–47.

130.

Park

Ramirez

Beilock

S. L.

(2014). The role of expressive writing in math anxiety. Journal of Experimental Psychology: Applied, 20, 103–111. doi:10.1037/xap0000013

131.

Passolunghi

M. C.

(2011). Cognitive and emotional factors in children with mathematical learning disabilities. International Journal of Disability, Development and Education, 58, 61–73. doi:10.1080/1034912X.2011.547351

132.

Passolunghi

M. C.

Lanfranchi

(2012). Domain-specific and domain-general precursors of mathematical achievement: A longitudinal study from kindergarten to first grade. British Journal of Educational Psychology, 82, 42–63.

133.

Passolunghi

M. C.

Siegel

L. S.

(2004). Working memory and access to numerical information in children with disability in mathematics. Journal of Experimental Child Psychology, 88, 348–367. doi:10.1016/j.jecp.2004.04.002

134.

*Pedro

J. D.

Wolleat

Fennema

Becker

A. D.

(1981). Election of high school mathematics by females and males: Attributions and attitudes. American Educational Research Journal, 18, 207–218. doi:10.3102/F00028312018002207

135.

*Peixoto

Sanches

Mata

Monteiro

(2017). “How do you feel about math?” Relationships between competence and value appraisals, achievement emotions and academic achievement. European Journal of Psychology of Education, 32, 385–405. doi:10.1007/s10212-016-0299-4

136.

Pekrun

(2006). The control-value theory of achievement emotions: Assumptions, corollaries, and implications for educational research and practice. Educational Psychology Review, 18, 315–341.

137.

Pekrun

Goetz

Frenzel

A. C.

(2005). Achievement Emotions Questionnaire-Mathematics (AEQ-M). User’s manual. Munich, Germany: University of Munich, Department of Psychology.

138.

*Pekrun

Lichtenfeld

Marsh

H. W.

Murayama

Goetz

(2017). Achievement emotions and academic performance: Longitudinal models of reciprocal effects. Child Development, 88, 1653–1670. doi:10.1111/cdev.12704

139.

Peng

Barnes

Wang

Swanson

H. L.

. . .Tao

(2018). A meta-analysis on the relation between reading and working memory. Psychological Bulletin, 144, 48–76. doi:10.1037/bul0000124

140.

Peng

Namkung

Barnes

Sun

(2016). A meta-analysis of mathematics and working memory: Moderating effects of working memory domain, type of mathematics skill, and sample characteristics. Journal of Educational Psychology, 108, 455–473.

141.

Peng

Wang

T. F.

Wang

C. C.

Lin

(2018). A meta-analysis on the relation between fluid intelligence and reading/mathematics: Effects of tasks, age, and social economics status. Psychological Bulletin, 145, 189-236.

142.

*Perry

S. M.

Catapano

Ramon

O. G.

(2016). Teaching, academic achievement, and attitudes toward mathematics in the United States and Nigeria. Journal for Leadership and Instruction, 15, 5–12.

143.

*Prieto

Delgado

A. R.

(2007). Measuring math anxiety (in Spanish) with the Rasch rating scale model. Journal of Applied Measurement, 8, 149–160.

144.

Puklek Levpušček

Zupančič

. (2009). Math achievement in early adolescence: The role of parental involvement, teachers’ behavior, and students’ motivational beliefs about math. Journal of Early Adolescence, 29, 541–570. doi:10.1177%2F0272431608324189

145.

Raghubar

K. P.

Barnes

M. A.

Hecht

S. A.

(2010). Working memory and mathematics: A review of developmental, individual difference, and cognitive approaches. Learning and Individual Differences, 20, 110–122.

146.

*Ramirez

(2017). Motivated forgetting in early mathematics: A proof-of-concept study. Frontiers in Psychology, 8, 2087–2087. doi:10.3389/fpsyg.2017.02087

147.

*Ramirez

Chang

Maloney

E. A.

Levine

S. C.

Beilock

S. L.

(2016). On the relationship between math anxiety and math achievement in early elementary school: The role of problem solving strategies. Journal of Experimental Child Psychology, 141, 83–100. doi:10.1016/j.jecp.2015.07.014

148.

Ramirez

Gunderson

E. A.

Levine

S. C.

Beilock

S. L.

(2013). Math anxiety, working memory, and math achievement in early elementary school. Journal of Cognition and Development, 14, 187–202. doi:10.1080/15248372.2012.664593

149.

*Reali

Jiménez-Leal

Maldonado-Carreño

Devine

Szücs

(2016). Examining the link between math anxiety and math performance in Colombian students. Revista Colombiana de Psicología, 25, 369–379. doi:10.15446/rcp.v25n2.54532.

150.

*Reavis

P. S.

(1987). Mathematics anxiety and the relationship between attitude, sex, ethnicity and achievement in mathematics in three high school curriculum tracks (Doctoral dissertation). The University of Arizona, Tucson.

151.

*Recber

Isiksal

Koç

(2018). Investigating self-efficacy, anxiety, attitudes and mathematics achievement regarding gender and school type. Anales de Psicología/Annals of Psychology, 34, 41–51. doi:10.6018/analesps.34.1.229571

152.

*Rhone

L. M.

(1990). Relations between parental expectation, mathematics ability, mathematics anxiety, achievement on mathematics word problems, and overall mathematics achievement in black adolescents (Doctoral dissertation). New York University, New York.

153.

Richardson

F. C.

Suinn

R. M.

(1972). The Mathematics Anxiety Rating Scale: Psychometric data. Journal of Counseling Psychology, 19, 551–554. doi:10.1037/h0033456

154.

Rubinsten

Tannock

(2010). Mathematics anxiety in children with developmental dyscalculia. Behavioral and Brain Functions, 6, 1–13. doi:10.1186/1744-9081-6-46

155.

*Ryan

A. M.

Patrick

Shim

S. O.

(2005). Differential profiles of students identified by their teacher as having avoidant, appropriate, or dependent help-seeking tendencies in the classroom. Journal of Educational Psychology, 97, 275–285. doi:10.1037/0022–0663.97.2.275

156.

Sackett

P. R.

Kuncel

N. R.

Arneson

J. J.

Cooper

S. R.

Waters

S. D.

(2009). Does socioeconomic status explain the relationship between admissions tests and post-secondary academic performance. Psychological Bulletin, 135, 1–22.

157.

*Saigh

P. A.

Khouri

(1983). The concurrent validity of the mathematics anxiety rating scale for adolescents (MARS-A) in relation to the academic achievement of Lebanese students. Educational and Psychological Measurement, 43, 633–637. doi:10.1177%2F001316448304300237

158.

Salamé

R. F.

(1984). Test anxiety: Its determinants, manifestations and consequences. Advances in Test Anxiety Research, 3, 83–119.

159.

Sanders

C. E.

Lubinski

Benbow

C. P.

(1995). Does the Defining Issues Test measure psychological phenomena distinct from verbal ability: An examination of Lykken’s query. Journal of Personality and Social Psychology, 69, 498–504.

160.

*Satake

Amato

P. P.

(1995). Mathematics anxiety and achievement among Japanese elementary school students. Educational and Psychological Measurement, 55, 1000–1007. doi:10.1177%2F0013164495055006009

161.

*Scherer

Siddiq

(2015). The big-fish–little-pond-effect revisited: Do different types of assessments matter? Computers & Education, 80, 198–210. doi:10.1016/j.compedu.2014.09.003

162.

*Schnell

Tibubos

A. N.

Rohrmann

Hodapp

(2013). Test and math anxiety: A validation of the German test anxiety questionnaire. Polish Psychological Bulletin, 44, 193–200. doi:0.2478/ppb-2013-0022

163.

*Schoeck

A. M.

(1994). The effectiveness of cognitive/relaxation training in reducing test anxiety and math anxiety and improving arithmetic performance with ninth-and tenth-grade students (Doctoral dissertation). State University of New York at Albany.

164.

*Sepie

A. C.

Keeling

(1978). The relationship between types of anxiety and under-achievement in mathematics. Journal of Educational Research, 72, 15–19. doi:10.1080/00220671.1978.10885111

165.

*Sgroi

R. J.

(1991). Mathematics ability, mathematics anxiety, and gender as related to basic mathematics skills proficiency and game performance when an externally parametered, co-instructional mathematics simulation game is used with high school remedial students (Doctoral dissertation). New York University, New York.

166.

Sharma

Rao

(1983). The effects of self-esteem, test anxiety and intelligence on academic achievement of high school girls. Personality Study and Group Behaviour, 3, 48–55.

167.

*Siebers

W. M.

(2015). The relationship between math anxiety and student achievement of middle school students (Doctoral dissertation). Colorado State University, Fort Collins.

168.

*Solazzo

L. A.

(2008). The role of gender, cognition, anxiety, and competence beliefs in predicting mathematics achievement (Doctoral dissertation). Available from ProQuest Dissertations and Theses database. (UMI No.3303095)

169.

*Soni

Kumari

(2017). The role of parental math anxiety and math attitude in their children’s math achievement. International Journal of Science and Mathematics Education, 15, 331–347. doi:10.1007/s10763-015-9687-5

170.

*Sorvo

Koponen

Viholainen

Aro

Räikkönen

Peura

. . . Aro

(2017). Math anxiety and its relationship with basic arithmetic skills among elementary school children. British Journal of Educational Psychology, 87, 309–327. doi:10.1111/bjep.12151

171.

*Spinath

Freudenthaler

H. H.

Neubauer

A. C.

(2010). Domain-specific school achievement in boys and girls as predicted by intelligence, personality and motivation. Personality and Individual Differences, 48, 481–486. doi:10.1016/j.paid.2009.11.028

172.

*Stankov

Lee

Luo

Hogan

D. J.

(2012). Confidence: A better predictor of academic achievement than self-efficacy, self-concept and anxiety? Learning and Individual Differences, 22, 747–758. doi:10.1016/j.lindif.2012.05.013

173.

*Stankov

Morony

Lee

Y. P.

(2014). Confidence: the best non–cognitive predictor of academic achievement? Educational Psychology, 34, 9–28. doi:10.1080/01443410.2013.814194

174.

*Stoet

Bailey

D. H.

Moore

A. M.

Geary

D. C.

(2016). Countries with higher levels of gender equality show larger national sex differences in mathematics anxiety and relatively lower parental mathematics valuation for girls. PloS One, 11, e0153857. doi:10.1371/journal.pone.0153857

175.

Suinn

R. M.

Edwards

(1982). The measurement of mathematics anxiety: The Mathematics Anxiety Rating Scale for Adolescents—MARS-A. Journal of Clinical Psychology, 38, 576–580. doi:10.1002/1097-4679(198207)38:3<576::AID-JCLP2270380317>3.0.CO;2-V

176.

*Suinn

R. M.

Taylor

Edwards

R. W.

(1988). Suinn mathematics anxiety rating scale for elementary school students (MARS-E): Psychometric and normative data. Educational and Psychological Measurement, 48, 979–986. doi:10.1177%2F0013164488484013

177.

*Suinn

R. M.

Taylor

Edwards

R. W.

(1989). The Suinn mathematics anxiety rating scale (MARS-E) for Hispanic elementary school students. Hispanic Journal of Behavioral Sciences, 11, 83–90. doi:10.1177%2F07399863890111007

178.

Swanson

H. L.

Jerman

(2006). Math disabilities: A selective meta-analysis of the literature. Review of Educational Research, 76, 249–274. doi:10.3102/00346543076002249

179.

Tankersley

(1993). Teaching math their way. Educational Leadership, 50, 12–13.

180.

*Thorndike-Christ

(1991). Attitudes toward mathematics: Relationships to mathematics achievement, gender, mathematics course-taking plans, and career interests (Doctoral dissertation). Western Washington University, Bellingham.

181.

*Tissot

S. L.

(1997). An examination of ethnic variation in gender differences in mathematics attitudes and performance (Doctoral dissertation). University of Maryland Baltimore County.

182.

Tobias

(1986). Anxiety and cognitive processing of instruction. In Schwarzer

(Ed.), Self-related cognitions in anxiety and motivation (pp. 35–54). Hillsdale, NJ: Erlbaum.

183.

*Tocci

C. M.

Engelhard

G . (1991). Achievement, parental support and gender differences in attitudes toward mathematics. Journal of Educational Research, 84, 280–287. doi:10.1080/00220671.1991.10886028

184.

*Van der Beek

J. P.

Van der Ven

S. H.

Kroesbergen

E. H.

Leseman

P. P

. (2017). Self-concept mediates the relation between achievement and emotions in mathematics. British Journal of Educational Psychology, 87, 478–495. doi:10.1111/bjep.12160

185.

Venkatesh Kumar

Karimi

. (2010). Mathematics anxiety, mathematics performance and overall academic performance in high school students. Journal of the Indian Academy of Applied Psychology, 36, 147–150. doi:10.1177/0258042X0903400406

186.

*Vidovic

V. V.

(1999). Self-referenced cognitions and mathematics grades in secondary school. Studia Psychologica, 41, 133–142.

187.

*Vukovic

R. K.

Kieffer

M. J.

Bailey

S. P.

Harari

R. R.

(2013). Mathematics anxiety in young children: Concurrent and longitudinal associations with mathematical performance. Contemporary Educational Psychology, 38, 1–10. doi:10.1016/j.cedpsych.2012.09.001

188.

*Vukovic

R. K.

Roberts

S. O.

Green Wright

(2013). From parental involvement to children’s mathematical performance: The role of mathematics anxiety. Early Education and Development, 24, 446–467. doi:10.1080/10409289.2012.693430

189.

*Wahl

M. W.

(1986). Mathematics anxiety in high school students: A study of gender and interrelated factors (Doctoral dissertation). The University of Wisconsin-Milwaukee.

190.

*Wang

Hart

S. A.

Kovas

Lukowski

Soden

Thompson

L. A.

. . . Petrill

S. A.

(2014). Who is afraid of math? Two sources of genetic variance for mathematical anxiety. Journal of Child Psychology and Psychiatry, 55, 1056–1064. doi:10.1111/jcpp.12224

191.

*Wang

Lukowski

S. L.

Hart

S. A.

Lyons

I. M.

Thompson

L. A.

Kovas

. . . Petrill

S. A.

(2015). Is math anxiety always bad for math learning? The role of math motivation. Psychological Science, 26, 1863–1876. doi:10.1177/F0956797615602471

192.

*Wang

Shakeshaft

Schofield

Malanchini

(2018). Anxiety is not enough to drive me away: A latent profile analysis on math anxiety and math motivation. PloS One, 13, e0192072. doi:10.1371/journal.pone.0192072

193.

*Wigfield

Meece

J. L.

(1988). Math anxiety in elementary and secondary school students. Journal of Educational Psychology, 80, 210–216.

194.

*Williams

J. E.

(1994). Anxiety measurement: Construct validity and test performance. Measurement and Evaluation in Counseling and Development, 27, 302–307.

195.

Wither

(1988). Influences on achievement in secondary school mathematics. Unicorn, 14, 48–51.

196.

*Wittman

T. K.

(1997). The relationship between automatization of multiplication facts and elementary school children’s mathematics anxiety (Doctoral dissertation). Available from ProQuest Dissertations and Theses database. (UMI No. 9615505)

197.

Wong

N. Y.

(1992). The relationship among mathematics achievement, affective variables and home background. Mathematics Education Research Journal, 4, 32–42.

198.

*Wu

S. S.

Chen

Battista

Watts

A. K. S.

Willcutt

E. G.

Menon

(2017). Distinct influences of affective and cognitive factors on children’s non-verbal and verbal mathematical abilities. Cognition, 166, 118–129. doi:10.1016/j.cognition.2017.05.016

199.

*Wu

S. S.

Willcutt

E. G.

Escovar

Menon

(2014). Mathematics achievement and anxiety and their relation to internalizing and externalizing behaviors. Journal of Learning Disabilities, 47, 503–514. doi:10.1177%2F0022219412473154

200.

*Yáñez-Marquina

Villardón-Gallego

(2017). Math anxiety, a hierarchical construct: Development and validation of the scale for assessing math anxiety in secondary education. Ansiedad y Estrés, 2, 59–65. doi:10.1016/j.anyes.2017.10.001

201.

Yeo

J. K. K.

(2005). Anxiety and performance on mathematical problem solving of secondary two students in Singapore. The Mathematics Educator, 8, 71–83.

202.

*Yıldırım

(2012). Teacher support, motivation, learning strategy use, and achievement: A multilevel mediation model. Journal of Experimental Education, 80, 150–172. doi:10.1080/00220973.2011.596855

203.

*Zhou

Urhahne

(2013). Teacher judgment, student motivation, and the mediating effect of attributions. European Journal of Psychology of Education, 28, 275–295. doi:10.1007/s10212-012-0114-9

204.

*Zweibelson

Lodato

F. J.

(1965). Relationship of pupil anxiety and attitude to arithmetic readiness and achievement. Psychology in the Schools, 2, 140–142. doi:10.1002/1520-6807