Psychological Development and Education ›› 2024, Vol. 40 ›› Issue (6): 761-773.doi: 10.16187/j.cnki.issn1001-4918.2024.06.01
LIANG Yuan1,2, ZHANG Lijin2,3,4, JI Ting1, LI Boyi1, BU Fan1
CLC Number:
Ashcraft, M. H., & Moore, A. M. (2012). Cognitive processes of numerical estimation in children. Journal of Experimental Child Psychology, 111(2), 246-267. Barth, H. C., & Paladino, A. M. (2011). The development of numerical estimation: Evidence against a representational shift. Developmental Science, 14(1), 125-135. Batchelor, S., Inglis, M., & Gilmore, C. (2015). Spontaneous focusing on numerosity and the arithmetic advantage. Learning and Instruction, 40(2-3), 116-135. Bojorque, G., Torbeyns, J., Hannula-Sormunen, M., Van Nijlen, D., & Verschaffel, L. (2017). Development of SFON in Ecuadorian kindergartners. European Journal of Psychology of Education, 32, 449-462. Cantlon, J. F., Safford, K. E., & Brannon, E. M. (2010). Spontaneous analog number representations in 3-year-old children. Developmental Science, 13(2), 289-297. Chan, J. Y., & Mazzocco, M. M. (2017). Competing features influence children's attention to number. Journal of Experimental Child Psychology, 156, 62-81. Chen, C., & Stevenson, H. W. (1988). Cross-linguistic differences in digit span of preschool children.Journal of Experimental Child Psychology, 46(1), 150-158. Cicchini, G. M., Anobile, G., & Burr, D. C. (2014). Compressive mapping of number to space reflects dynamic encoding mechanisms, not static logarithmic transform.Proceedings of the National Academy of Sciences, 111(21), 7867-7872. Cicchini, G. M., Anobile, G., & Burr, D. C. (2019). Spontaneous representation of numerosity in typical and dyscalculic development. Cortex, 114, 151-163. Deng, C., Silinskas, G., Wei, W., & Georgiou, G. (2015). Cross-lagged relationships between home literacy/numeracy environment and academic achievement in Chinese.Early Childhood Research Quarterly, 33, 12-20. Ebersbach, M. (2016). Development of children's estimation skills: The ambiguous role of their familiarity with numerals. Child Development Perspectives, 10(2), 116-121. Ebersbach, M., Luwel, K., Frick, A., Onghena, P., & Verschaffel, L. (2008).The relationship between the shape of the mental number line and familiarity with numbers in 5- to 9-year old children: Evidence for a segmented linear model. Journal of Experimental Child Psychology, 99(1), 1-17. Fuhs, M. W., Nesbitt, K. T., & Connor, D. O. (2018). Approximate number system task performance: Associations with domain-general and domain-specific cognitive skills in young children.Journal of Numerical Cognition, 4(3), 590-612. Gelman, R. (2009). Learning in core and noncore domains. In L. Tommasi, M. A. Peterson, & L. Nadal (Eds.),Cognitive biology: Evolutionary and developmental perspectives on mind, brain, and behavior (pp. 247-260). MIT Press. Gelman, R., & Williams, E. M. (1998). Enabling constraints for cognitive development and learning: Domain specificity and epigenesis. In W. Damon, D. Kuhn, & R. S. Siegler (Eds.).Handbook of child psychology: Cognition, perception, and language (5th ed., Vol. 1, pp. 575-630). Wiley. Gray, S. A., & Reeve, R. A. (2016). Number-specific and general cognitive markers of preschoolers’ math ability profiles. Journal of Experimental Child Psychology, 147, 1-21. Hannula, M. M., & Lehtinen, E. (2005). Spontaneous focusing on numerosity and mathematical skills of young children. Learning and Instruction, 15(3), 237-256. Hannula-Sormunen, M. M., Lehtinen, E., & Räsänen, P. (2015). Preschool children's spontaneous focusing on numerosity, subitizing and counting skills as predictors of their mathematical performance 7 years later at school.Mathematical Thinking and Learning, 17(2-3), 155-177. Hannula, M. M., Lepola, J., & Lehtinen, E. (2010). Spontaneous focusing on numerosity as a domain-specific predictor of arithmetical skills. Journal of Experimental Child Psychology, 107(4), 394-406. Hannula-Sormunen, M.(2014). Spontaneous focusing on numerosity and its relation to counting and arithmetic. In R. Cohen-Kadosh & A. Dowker (Eds.), Handbook of Numerical Cognition (pp.275-290). Oxford University Press. Hollands, J. G. & Dyre, B. P. (2000). Bias in proportion judgments:The cyclical power model. Psychological Review, 107(3), 500-524. Jung, T., & Wickrama, K. (2008). An introduction to latent class growth analysis and growth mixture modeling.Social and Personality Psychology Compass, 2(1), 302-317. Kucian, K., Ashkenazi, S. S., Hänggi, J., Rotzer, S., Jäncke, L., Martin, E., & von Aster, M. (2014). Developmental dyscalculia: A dysconnection syndrome? Brain Structure and Function, 219(5), 1721-1733. Lanza, S. T., Collins, J. L., Lemmon, D., & Schafer, J. L. (2007). PROC LCA: A SAS procedure for latent class analysis.Structural Equation Modeling: A Multidisciplinary Journal, 14(4), 671-694. Lehtinen, E., Hannula-Sormunen, M., McMullen, J., & Gruber, H. (2017). Cultivating mathematical skills: From drill-and-practice to deliberate practice.ZDM Mathematics Education, 49, 625-636. Liang Y., Zhang, L., Long, Y., Deng, Q., & Liu, Y. (2020). Promoting effects of RTI-based mathematical play training on number sense growth among low-SES preschool children. Early Education and Development, 31(3), 335-353. Magidson, J., & Vermunt, J. K. (2003). Comparing latent class factor analysis with traditional approach in data mining. In H. Bozdogan (Ed.),Statistical data mining and knowledge discovery (pp. 373-383). Chapman and Hall/CRC Press. McMullen, J., Chan, J. Y.-C., Mazzocco, M. M. M., & Hannula-Sormunen, M. M. (2019). Spontaneous mathematical focusing tendencies in mathematical development and education. In A. Norton & M. W. Alibali (Eds.), Constructing number: Merging perspectives from psychology and mathematics education (pp. 69-86). Springer International Publishing. Miller, K., Major, S. M., Shu, H., & Zhang, H. (2000). Ordinal knowledge: Number names and number concepts in Chinese and English.Canadian Journal of Experimental Psychology, 54, 129-140. Nanu, C. E., McMullen, J., Munck, P., & Hannula-Sormunen, M. M. (2018). Spontaneous focusing on numerosity in preschool as a predictor of mathematical skills and knowledge in the fifth grade. Journal of Experimental Child Psychology, 169, 42-58. Nylund, K. L., Asparouhov, T., & Muthén, B. O. (2007). Deciding on the number of classes in latent class analysis and growth mixture modeling: A Monte Carlo simulation study.Structural Equation Modeling: A Multidisciplinary Journal, 14(4), 535-569. Odic, D., Libertus, M. E., Feigenson, L., & Halberda, J. (2013). Developmental change in the acuity of approximate number and area representations. Developmental Psychology, 49(6), 1103-1112. Opfer, J. E., Siegler, R. S., & Young, C. J. (2011). The powers of noise-fitting: Reply to Barth and Paladino. Developmental Science, 14(5), 1194-1204. Peeters, D., Degrande, T., Ebersbach, M., Verschaffel, L., & Luwel, K. (2016). Children’s use of number line estimation strategies.European Journal of Psychology of Education, 31(2), 117-134. Rathé, S., Torbeyns, J., Hannula-Sormunen, M. M., De Smedt, B., & Verschaffel, L. (2016). Spontaneous focusing on numerosity: A review of recent research.Mediterrean Journal for Research in Mathematics Education, 15, 1-25. Rathé, S., Torbeyns, J., De Smedt, B., & Verschaffel, L. (2019). Spontaneous focusing on Arabic number symbols and its association with early mathematical competencies.Early Childhood Research Quarterly, 48, 111-121. Rathé, S., Torbeyns, J., De Smedt, B., & Verschaffel, L. (2022). Longitudinal associations between spontaneous number focusing tendencies, numerical abilities, and mathematics achievement in 4- to 7-year-olds. Journal of Educational Psychology, 114(1), 37-55. Reeve, R., Reynolds, F., Humberstone, J., & Butterworth, B. (2012). Stability and change in markers of core numerical competencies. Journal of Experimental Child Psychology: General, 141(4), 649-666. Schneider, M., Merz, S., Stricker, J., De Smedt, B., Torbeyns, J., Verschaffel, L., & Luwel, K. (2018). Associations of number line estimation with mathematical competence: A meta-analysis. Child Development, 89(5), 1467-1484. Sella, F., Berteletti, I., Lucangeli, D., & Zorzi, M. (2015). Varieties of quantity estimation in children. Developmental Psychology, 51(6), 758-770. Siegler, R. S., & Opfer, J. E. (2003). The development of numerical estimation: Evidence for multiple representations of numerical quantity.Psychological Science, 14(3), 237-250. Siegler, R. S., Thompson, C. A., & Opfer, J. E. (2010). The logarithmic-to-linear shift: One learning sequence, many tasks, many time scales. Mind Brain & Education, 3(3), 143-150. Slusser, E. B., Santiago, R. T., & Barth, H. C. (2013). Developmental change in numerical estimation. Journal of Experimental Psychology: General, 142(1), 193-200. Slusser, E., & Barth, H. (2011).An Excel worksheet for proportion-judgment analyses of number-line data. Department of Psychology, Wesleyan University, Middletown, CT. Hilary Barth. https://hbarth.faculty.wesleyan.edu Slusser, E., & Barth, H. (2017). Intuitive proportion judgment in number-line estimation: Converging evidence from multiple tasks. Journal of Experimental Child Psychology, 162, 181-198. Spelke, E. S. (2017). Core knowledge, language, and number.Language Learning and Development, 13(2), 147-170. Stoianov, I. P., & Zorzi, M. (2012). The abstraction of visual numerosity from continous visual properties. Perception ECVP Abstract, 41, 256. Torbeyns, J., Bojorque, G., Van Hoof, J., Van Nijlen, D., & Verschaffel, L. (2018). Unique contribution of Ecuadorian kindergartners' spontaneous focusing on numerosity to their early numerical abilities.British Journal of Developmental Psychology, 36(2), 299-312. Vermunt, J. K., & Magidson, J. (2013). Technical guide for Latent GOLD 5.0: Basic, advanced, and syntax. Statistical Innovations. Verschaffel, L., Rathé, S., Wijns, N., Degrande, T., Van Dooren, W., De Smedt, B., & Torbeyns, J. (2020). Young children's early mathematical competencies: The role of mathematical focusing tendencies. In M. Carlsen, I. Erfjord & P. Hundeland (Eds.),Mathematics education in the early years (pp. 23-42). Springer-Cham. von Aster, R. S., & Shalev, S. S. (2007). Number development and developmental dyscalculia.Developmental Medicine & Child Neurology, 49(11), 868-873. Wong, T. T.-Y., & Chan, W. W. L. (2019). Identifying children with persistent low math achievement: The role of number-magnitude mapping and symbolic numerical processing.Learning and Instruction, 60, 29-40. 崔爽, 高亚茹, 王阳阳, 黄碧娟, 司继伟. (2020). 非正式学习环境中幼儿的自发数量聚焦. 心理科学进展, 28(12), 2064-2075. 张洁婷, 焦璨, 张敏强. (2010). 潜在类别分析技术在心理学研究中的应用. 心理科学进展, 18(12), 1991-1998. |
[1] | HUANG He, WANG Xiaoying. The Effect of Mindful Parenting on Preschool Children’s Problem Behavior: The Chain Mediating Role of Child-parent Relationship and Resilience [J]. Psychological Development and Education, 2024, 40(4): 533-541. |
[2] | LIU Jianrong, CHEN Qingxin, TONG Ning. A Microgenetic Study of Theory of Mind in Children Aged 3~4 Years [J]. Psychological Development and Education, 2024, 40(3): 305-315. |
[3] | LENG Xinyi, SU Mengmeng, LI Wenling, YANG Xiujie, XING Ailing, ZHANG Xianglin, SHU Hua. The Relation between Home Environment and Early Language Development in Rural China [J]. Psychological Development and Education, 2024, 40(1): 8-18. |
[4] | WANG Yingjie, LUAN Jinxin, LI Yan. The Relationship between Maternal Parenting Stress and Preschool Children's Anxiety: The Mediating Effect of Mother-child Conflict and the Moderating Effect of Maternal Mindfulness [J]. Psychological Development and Education, 2023, 39(5): 702-709. |
[5] | WANG Ying, ZHU Haidong, ZHANG Xinyi, XIAO Yan. The Influence of Parent-child Attachment on the Executive Function of Left-behind Preschool Children: Grandparent-child Attachment as a Mediator and Moderator [J]. Psychological Development and Education, 2022, 38(2): 195-206. |
[6] | ZHANG Guangzhen, LIANG Miao, LIANG Zongbao. A Longitudinal Study of the Influence of Parenting Styles on Social Adjustment of Preschool Children: Mediating Effects of Self-control [J]. Psychological Development and Education, 2021, 37(6): 800-807. |
[7] | WANG Wei, GONG Deying, CHENG Chun, CHEN Ke, LI Yongxin, YAN Jingjing. The Characteristics of Number Sense in 5~7 Years Old Children with Autism Spectrum Disorder [J]. Psychological Development and Education, 2021, 37(6): 818-825. |
[8] | ZHAN Shuwei, YANG Ning, ZHAO Bihua. Receptive Language Skills and Social Withdrawal among Chinese Left-behind Preschool Children: A Moderated Mediation Model [J]. Psychological Development and Education, 2021, 37(6): 834-844. |
[9] | ZHANG Fan, ZHAO Demao, LIU Xia, BAI Rong, ZHANG Mingliang, XING Shufen. The Co-effect of Parental Negative Parenting Style and MAOA rs6323 Polymorphism on Externalizing Problem Behaviors of Preschool Children [J]. Psychological Development and Education, 2020, 36(6): 659-667. |
[10] | YU Xiao, WANG Hongmei, CHEN Yinghe, LIU Ruishu, HAN Congcong, HAN Min, ZHANG Han, LIU Jing. The Role of Distractor Inhibition and Relational Integration in Preschool Children's Analogical Reasoning [J]. Psychological Development and Education, 2020, 36(4): 385-393. |
[11] | GAO Ruiyan, NIU Meixin, YANG Tao, ZHOU Xinlin. The Accuracy and Form of Fraction Magnitude Representation for 4 to 8 Graders [J]. Psychological Development and Education, 2018, 34(4): 443-452. |
[12] | LIU Yufei, QIAN Yi, SONG Yaowu, BI Hongyan. Study on the Emergence and Development of Orthographic Awareness in Chinese Preschool Children [J]. Psychological Development and Education, 2018, 34(1): 65-72. |
[13] | SHU Zeng, HE Qiong, LI Xiaomin, ZHANG Jing, ZHANG Yuehan, FANG Xiaoyi. Effect of Maternal Stress on Preschoolers' Creative Personality: The Mediating Role of Mothers' Parenting Styles [J]. Psychological Development and Education, 2016, 32(3): 276-284. |
[14] | NIU Yubai, SHI Ranran, CAO Xiancai. Preschool Children's Approximate Number System Acuity and Symbolic Number Abilities [J]. Psychological Development and Education, 2016, 32(2): 129-138. |
[15] | WANG Mingzhu, ZOU Hong, LI Xiaowei, ZHANG Wenjuan, WANG Yingqian, JIANG Suo. Marital Conflict and Preschool Children's Parenting Styles: The Moderating Role of Parental Emotion Regulation Strategies [J]. Psychological Development and Education, 2015, 31(3): 279-286. |
|