## Transition of latent classes of children’s mathematics anxiety in primary school and the distinctive effects of parental educational involvement: a three-wave longitudinal study

(2.Shandong Academy of Governance, Jinan 250014)

**【Abstract】**Mathematics anxiety is a sense of tension and anxiety that an individual feels when solving the problems related to mathematics. This phenomenon has a considerable prevalence among children and youth, even in adults. Currently, most studies regard mathematics anxiety as a single-dimensional structure. However, mathematics anxiety is a multi-dimensional structure. For example, individuals with high mathematics learning anxiety are often associated with low mathematics achievement, while individuals with high mathematics evaluation anxiety do not necessarily lead to low mathematics achievement. And the developmental dynamic bio-psycho-social model holds that the interaction between individual factors and environmental factors makes the development of individuals’ mathematics anxiety heterogeneity. As individual factors and environmental factors are constantly developing and changing, the developmental trajectories of mathematics anxiety are dynamic. However, there were no studies that have examined the individual heterogeneity of mathematics anxiety and its development and transitions from a longitudinal perspective. Moreover, parental educational involvement as one of important environmental factors might predict the transitions of mathematics anxiety over time. Thus, person-centered approach was used to solve these two problems in this study. In this study, 1720 students of Grade three and Grade four in county primary schools were selected as participants. Children’s Mathematics Anxiety Scale compiled by Chiu and Henry (1990) and revised by Geng and Chen (2005) and Questionnaire on Parental Involvement Behavior of Primary School Students compiled by Wu et al. (2013) were used to measure children’s mathematics anxiety and their perceived parental educational involvement separately over three years. Latent profile analysis and latent transition analysis were used to explore the possible subtypes of children’s mathematics anxiety and the transitions between different subtypes over three waves in this study. Multiple logistic regressions were used to examine the effect of parental educational involvement in the latent transitions of different mathematics anxiety subtypes. All data were analyzed by SPSS 22.0 and Mplus 8.0. Some valuable results were obtained as follows. (1)There were three different subgroups of mathematics anxiety in primary school children, including low mathematics anxiety group, high mathematics evaluation anxiety group and high mathematics acquisition anxiety group; (2) as time went by, high mathematics evaluation anxiety group tended to change to low mathematics anxiety group, high mathematics acquisition anxiety group tended to change to high mathematics evaluation anxiety group, and low mathematics anxiety group was relatively stable; (3) positive father involvement could promote the change of children’s mathematics anxiety from high mathematics acquisition anxiety group to low mathematics anxiety group, which was mainly in girls. For girls, mother involvement was able to promote the change of their mathematics anxiety from high mathematics evaluation anxiety group to low mathematics anxiety group; however for boys, mother involvement was able to promote the change of their mathematics anxiety from high mathematics evaluation anxiety group to high mathematics acquisition anxiety group. For the low mathematics anxiety group, the positive effect of parental educational involvement was significant. There was group heterogeneity in mathematics anxiety, and distinct subtypes of individuals may change over time, and parental educational involvement played different roles in different subgroups of children’s mathematics anxiety. This study confirmed that the developmental dynamic bio-psycho-social model hypothesized that different individuals were affected by the different interaction of individual factors and environmental factors, and there were heterogeneity and dynamics in the developmental trajectories of individual mathematics anxiety. In view of this, parents or teachers should use different teaching methods for different subtypes of mathematics anxiety in mathematics learning. In addition, future researchers should consider individual heterogeneity of mathematics anxiety.

**【Keywords】 **primary school children; mathematics anxiety; parental educational involvement; latent transition analysis; longitudinal study;

**【DOI】**

**【Funds】**

**References**

Bai, X. & Chen, Y. *Advances in Psychological Science *(心理科学进展), 12(2): 231−239 (2004).

Barger, M. M., Kim, E. M., Kuncel, N. R., & Pomerantz, E. M. (2019). The relation between parents’ involvement in children’s schooling and children’s adjustment: A meta-analysis. *Psychological Bulletin*, 145(9), 855−980.

Barroso, C., Ganley, C. M., McGraw, A. L., Geer, E. A., Hart, S. A., & Daucourt, M. C. (2020). A meta-analysis of the relation between math anxiety and math achievement. *Psychological Bulletin. *147(2), 134−168.

Bretherton, I. (2010). Fathers in attachment theory and research: A review. *Early Child Development and Care*, 180(1−2), 9−23.

Bronfenbrenner, U. (1979). *The ecology of human development. *Cambridge, MA: Havard University Press.

Cheung, S. S., & Pomerantz, E. M. (2011). Parents’ involvement in children’s learning in the United States and China: Implications for children’s academic and emotional adjustment. *Child Development*, 82(3), 932−950.

Ching, H. H., Wu, H. X., & Chen, T. T. (2021). Maternal achievement-oriented psychological control: Implications for adolescent academic contingent self-esteem and mathematics anxiety. *International Journal of Behavioral Development*, 45(3), 193−203.

Chiu, L., & Henry, L. L. (1990). Development and validation of the mathematics anxiety scale for children. *Measurement & Evaluation in Counseling & Development*, 23(3), 121−127.

Collins, L. M., & Lanza, S. T. (2010). *Latent class and latent transition analysis*. Hoboken, NJ: Wiley.

Del Rio, M. F., Susperreguy, M. I., Strasser, K., & Salinas, V. (2017). Distinct influences of mothers and fathers on kindergartners’ numeracy performance: The role of math anxiety, home numeracy practices, and numeracy expectations. *Early Education and Development*, 28(8), 939−955.

Demirtaş, A. S., & Uygun-Eryurt, T. (2020). Attachment to parents and math anxiety in early adolescence: Hope and perceived school climate as mediators. *Current Psychological Research. *doi: 10.1007/s12144−020−00964−1

Devine, A., Fawcett, K., Szücs, D., & Dowker, A. (2012). Gender differences in mathematics anxiety and the relation to mathematics performance while controlling for test anxiety. *Behavioral and Brain Functions*, 8, 33. doi: 10.1186/1744−9081−8−33

DiStefano, M., O’Brien, B., Storozuk, A., Ramirez, G., & Maloney, E. A. (2020). Exploring math anxious parents’ emotional experience surrounding math homework-help. *International Journal of Educational Research*, 99, 101526. doi: 10.1016/j.ijer.2019.101526

Dowker, A., Sarkar, A., & Looi, C. Y. (2016). Mathematics anxiety: What have we learned in 60 years? *Frontiers in Psychology*, 7, 508. doi: 10.3389/fpsyg.2016.00508

Fan, X., Hambleton, R. K., & Zhang, M. (2019). Profiles of mathematics anxiety among 15-year-old students: A cross-cultural study using multi-group latent profile analysis. *Frontiers in Psychology*, 10,1217. doi: 10.3389/fpsyg.2019.01217

Geng, L. & Chen, Y. *Psychological Development and Education *(心理发展与教育), 21(4): 24−27 (2005).

Harari, R. R., Vukovic, R. K., & Bailey, S. P. (2013). Mathematics anxiety in young children: An exploratory study. *The Journal of Experimental Education*, 81(4), 538−555.

Hembree, R. (1990). The nature, effects and relief of mathematics anxiety. *Journal for Research in Mathematics Education*, 21(1), 33−46.

Hickendorff, M., Edelsbrunner, P. A., McMullen, J., Schneider, M., & Trezise, K. (2018). Informative tools for characterizing individual differences in learning: Latent class, latent profile, and latent transition analysis. *Learning and Individual Differences*, 66, 4−15.

Hong, S., Yoo, S.-K., You, S., & Wu, C.-C. (2010). The reciprocal relationship between parental involvement and mathematics achievement: Autoregressive cross-lagged modeling. *Journal of Experimental Education*, 78(4), 419−439.

Hopko, D. R., Mahadevan, R., Bare, R. L., & Hunt, M. A. (2003). The abbreviated math anxiety scale (AMAS): Construction, validity, and reliability. *Assessment*, 10(2), 178−182.

Jung, T., & Wickrama, A. S. (2008). An introduction to latent class growth analysis and growth mixture modeling. *Social and Personality Psychology Compass*, 2(1), 302−317.

Lerner, R. M. (2002).* Concepts and theories of human development* (3rd ed). London: Lawrence Erlbaum Associates.

Li, X., Han, M., Cohen, G. L., & Markus, H. R. (2021). Passion matters but not equally everywhere: Predicting achievement from interest, enjoyment, and efficacy in 59 societies. *Proceedings of the National Academy of Sciences*, 118(11), e2016964118.

Lital, D. C., & Orly, R. (2017). Mothers, intrinsic math motivation, arithmetic skills, and math anxiety in elementary school.* Frontiers in Psychology*, 8, 1939.doi: 10.3389/fpsyg.2017.01939

Lubke, G. H., & Muthén, B. (2007). Investigating population heterogeneity with factor mixture models. *Psychology Methods*, 10(1), 21−39.

Luo, L., Wu, Y. & Wei, W. *Journal of Beijing Normal University (Social Sciences) *(北京师范大学学报(社会科学版)), (1): 53−60 (2014).

Ma, M., Li, D., & Zhang, L. (2021). Longitudinal prediction of children’s math anxiety from parent-child relationships. *Learning and Individual Differences*, 88(4), 102016.

Maloney, E. A., Ramirez, G., Gunderson, E. A., Levine, S. C., & Beilock, S. L. (2015). Intergenerational effects of parents’ math anxiety on children’s math achievement and anxiety. *Psychological Science*, 26(9), 1480−1488.

McKenna, J. S., & Nickols, S. Y. (1988). Planning for retirement security: What helps or hinders women in the middle years? *Home Economics Research Journal*, 17(2), 153−164.

Nylund, K. L. (2007). *Latent transition analysis: Modeling extensions and an application to peer victimization *(Unpublished doctorial dissertation). University of California, Los Angeles.

OECD. (2013). *PISA 2012 assessment and analytical framework: Mathematics, reading, science, problem solving, and financial literacy. *Paris: OECD Publishing.

Rolison, J. J., Morsanyi, K., & Peters, E. (2020). Understanding health risk comprehension: The role of math anxiety, subjective numeracy, and objective numeracy. *Medical Decision Making*, 40(2), 222−234.

Rubinsten, O., Marciano, H., Levy, H. E., & Cohen, L. D. (2018). A framework for studying the heterogeneity of risk factors in math anxiety. *Frontiers in Behavioral Neuroscience*, 12, 291. doi: 10.3389/fnbeh.2018.00291

Sarason, I. G. (1978). Test anxiety scale: Concept and research. In C. D. Spielberger & I. G. Sarason (Eds.),* Stress and anxiety: *Vol. 5 (pp. 193−216). Washington D. C: Hemisphere Publishing Corp.

Si, J. W., Xu, Y. L., Feng, H. M., Xu, X. H., & Zhou, C. (2014). Differences of arithmetic strategy use in adults with different math anxieties: An ERP study. *Acta Psychologica Sinica*, 46(12), 1835− 1849.

Szczygieł, M. (2020). When does math anxiety in parents and teachers predict math anxiety and math achievement in elementary school children? The role of gender and grade year.* Social Psychology of Education*, 23(4), 1023−1054.

Tomasetto, C., Mirisola, A., Galdi, S., & Cadinu, M. (2015). Parents’ math−gender stereotypes, children’s self-perception of ability, and children’s appraisal of parents’ evaluations in 6-year-olds. *Contemporary Educational Psychology*, 42, 186−198.

Tomasetto, C., Morsanyi, K., Guardabassi, V., & O’Connor, P. A. (2021). Math anxiety interferes with learning novel mathematics contents in early elementary school. *Journal of Educational Psychology*, 113(2), 315−329.

Vanbinst, K., Bellon, E., & Dowker, A. (2020). Mathematics anxiety: An intergenerational approach. *Frontiers in Psychology*, 11, 1648. doi: 10.3389/fpsyg.2020.01648

Vukovic, R. K., Roberts, S. O., & Wright, G. L. (2013). From parental involvement to children's mathematical performance: The role of mathematics anxiety. *Early Education and Development*, 24(4), 446−467.

Wang, B., Zhang, M., Zhang, J. et al. *Psychological Research* (心理研究), 8(4): 36−43 (2015).

Wang, C. *Chinese Mental Health Journal *(中国心理卫生杂志), 15(2): 96−97 (2001).

Wang, M. T., & Degol, J. L. (2017). Gender gap in science, technology, engineering, and mathematics (STEM): Current knowledge, implications for practice, policy, and future directions. *Educational Psychology Review*, 29(1), 119−140.

Wang, Z., Oh, W., Malanchini, M., & Borriello, G. A. (2020). The developmental trajectories of mathematics anxiety: Cognitive, personality, and environmental correlates. *Contemporary Educational Psychology*, 61, 101876. doi: 10.1016/j.cedpsych.2020.101876

Wang, Z., Shakeshaft, N., Schofield, K., & Malanchini, M. (2018). Anxiety is not enough to drive me away: A latent profile analysis on math anxiety and math motivation. *PLoS ONE*, 13(2), e0192072. doi: 10.1371/journal.pone.0192072

Wu, Y., Hang, X. Wei, W. et al. *Journal of Beijing Normal University (Social Sciences) *(北京师范大学学报(社会科学版)), (1): 61−69 (2013).

Xiao, F., & Sun, L. (2021). Students’ motivation and affection profiles and their relation to mathematics achievement, persistence, and behaviors. *Frontiers in Psychology*, 11, 533593.doi: 10.3389/fpsyg.2020.533593

Zhang, W. & Chen, G. *Advances in Psychological Science *(心理科学进展), 17(4): 736−744 (2009).

Zhou, H. & Long, L. *Advances in Psychological Science *(心理科学进展), 12(6): 942−950 (2004).

ISSN:0439-755X

CN:11-1911/B

Vol , No. 04, Pages 355-370

February 2022

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