早期儿童数学学习与执行功能的关系

doi:10.3724/SP.J.1042.2018.01661

摘要/Abstract

摘要：

执行功能是个体对复杂的认知活动的自我调节和以明确目标为导向的活动过程, 对早期儿童的数学学习起着重要的作用。早期儿童数学学习与执行功能呈显著正相关, 执行功能是儿童数学学习的重要认知加工机制。早期儿童执行功能和数学学习之间存在着相互预测的关系, 执行功能可以预测数学成绩, 数学成绩可以预测执行功能。高质量的早期数学教育可能具有发展儿童执行功能和数学能力的双重价值。未来研究可以明确执行功能的界定和统一测量工具, 提供更可靠的证据证明早期儿童执行功能与数学能力的因果关系, 以及进一步探究语言、数学以及执行功能三者之间的关系。

关键词: 早期儿童, 数学学习, 执行功能, 数学能力

Abstract:

Executive function is the self-regulation of complex cognitive activities and a clear goal-oriented process, playing an important role in mathematics learning in early childhood. Executive function offers an important cognitive processing mechanism for the childhood mathematics learning. There is a mutual prediction relationship between executive function and mathematics learning. Executive function can be used to estimate mathematics achievement, and vice versa. Therefore, high quality mathematics education in early childhood may contribute to both developing children’s executive function and mathematical ability. Further research can help for clarifying the definition of executive function and unifying measurement tools. More reliable evidences are needed to prove the causal relationship between early childhood mathematics ability and executive function and further explore their relationships with languages.

Key words: early childhood, mathematical learning, executive function, mathematical ability

中图分类号:

B844

康丹, 曾莉. (2018). 早期儿童数学学习与执行功能的关系. 心理科学进展 , 26(9), 1661-1669.

KANG Dan, ZENG Li. (2018). The relationship between early childhood mathematics learning and executive function. Advances in Psychological Science, 26(9), 1661-1669.

参考文献

1	陈英和, 王明怡 . ( 2006). 工作记忆广度对儿童算术认知策略的影响. 心理发展与教育, 22( 2), 29-35.
2	刘超, 买晓琴, 傅小兰 . ( 2004). 不同注意条件下的空间-数字反应编码联合效应. 心理学报, 36( 6), 671-680.
3	隋光远, 吴燕, 曹晓华 . ( 2006). 数困儿童在内源和外源注意条件下数字比较的眼动研究. 心理科学, 29( 3), 583-587.
4	王明怡, 陈英和 . ( 2005). 工作记忆成分与儿童算术认知. 心理科学, 28( 3), 611-613.
5	Agostino A., Johnson J., & Pascual-Leone J. ( 2010). Executive functions underlying multiplicative reasoning: Problem type matters. Journal of Experimental Child Psychology, 105( 4), 286-305.
6	Barnett W. S., Jung K., Yarosz D. J., Thomas J., Hornbeck A., Stechuk R., & Burns S. ( 2008). Educational effects of the tools of the mind curriculum: A randomized trial. Early Childhood Research Quarterly, 23( 3), 299-313.
7	Berg, D. H. ( 2008). Working memory and arithmetic calculation in children: The contributory roles of processing speed, short-term memory, and reading. Journal of Experimental Child Psychology, 99( 4), 288-305.
8	Blair, C., & Razza, R. P. ( 2007). Relating effortful control, executive function, and false belief understanding to emerging math and literacy ability in kindergarten. Child Development, 78( 2), 647-664.
9	Bock A., Cartwright K. B., Gonzalez C., O’Brien S., Robinson M. F., Schmerold K., .. Pasnak R. ( 2015). The role of cognitive flexibility in pattern understanding. Journal of Education & Human Development, 4( 1), 19-25.
10	Bull, R., & Scerif, G. ( 2001). Executive functioning as a predictor of children's mathematics ability: Inhibition, switching, and working memory. Developmental Neuropsychology, 19( 3), 273-293.
11	Bull R., Espy K. A., & Wiebe S. A. ( 2008). Short-term memory, working memory, and executive functioning in preschoolers: Longitudinal predictors of mathematical achievement at age 7 years. Developmental Neuropsychology, 33( 3), 205-228.
12	Bull, R., & Lee, K. ( 2014). Executive functioning and mathematics achievement. Child Development Perspectives, 8( 1), 36-41.
13	Butterworth B., Varma S., & Laurillard D. ( 2011). Dyscalculia: From brain to education. Science, 332( 6033), 1049-1053.
14	Cantlon J. F., Libertus M. E., Pinel P., Dehaene S., Brannon E. M., & Pelphrey K. A. ( 2009). The neural development of an abstract concept of number. Journal of Cognitive Neuroscience, 21( 11), 2217-2229.
15	Clark C. A. C., Pritchard V. E., & Woodward L. J. ( 2010). Preschool executive functioning abilities predict early mathematics achievement. Developmental Psychology, 46( 5), 1176-1191.
16	Clark C. A. C., Sheffield T. D., Wiebe S. A., & Espy K. A. ( 2013). Longitudinal associations between executive control and developing mathematical competence in preschool boys and girls. Child Development, 84( 2), 662-677.
17	Clark C. A. C., Nelson J. M., Garza J., Sheffield T. D., Wiebe S. A., & Espy K. A. ( 2014). Gaining control: Changing relations between executive control and processing speed and their relevance for mathematics achievement over course of the preschool period. Frontiers in Psychology, 5, 107.
18	Clements D. H., Sarama J., & Germeroth C. ( 2016). Learning executive function and early mathematics: Directions of causal relations. Early Childhood Research Quarterly, 36( 9), 79-90.
19	Cragg, L., & Gilmore, C. ( 2014). Skills underlying mathematics: The role of executive function in the development of mathematics proficiency. Trends in Neuroscience & Education, 3( 2), 63-68.
20	David, C. V. ( 2012). Working memory deficits in math learning difficulties: A meta-analysis. International Journal of Developmental Disabilities, 58( 2), 67-84.
21	Davidse N. J., de Jong M. T., & Bus A. G. ( 2015). Causal relations among executive functions and academic skills from preschool to end of first grade. English Linguistics Research, 4( 1), 49-60.
22	Dombek, J. L., & Connor, C. M. ( 2012). Preventing retention: First grade classroom instruction and student characteristics. Psychology in the Schools, 49( 6), 568-588.
23	Espy K. A., McDiarmid M. M., Cwik M. F., Stalets M. M., Hamby A., & Senn T. E. ( 2004). The contribution of executive functions to emergent mathematic skills in preschool children. Developmental Neuropsychology, 26( 1), 465-486.
24	Fuchs L. S., Geary D. C., Compton D. L., Fuchs D., Hamlett C. L., Seethaler P. M., .. Schatschneider C. ( 2010). Do different types of school mathematics development depend on different constellations of numerical versus general cognitive abilities?. Developmental Psychology, 46( 6), 1731-1746.
25	Fuhs M. W., Nesbitt K. T., Farran D. C., & Dong N. ( 2014). Longitudinal associations between executive functioning and academic skills across content areas. Developmental Psychology, 50( 6), 1698-1709.
26	Geary D. C., Hoard M. K., Byrd-Craven J., & DeSoto M. C. ( 2004). Strategy choices in simple and complex addition: Contributions of working memory and counting knowledge for children with mathematical disability. Journal of Experimental Child Psychology, 88( 2), 121-151.
27	Geary, D. C. ( 2011). Cognitive predictors of achievement growth in mathematics: A 5-year longitudinal study. Developmental Psychology, 47( 6), 1539-1552.
28	Geary D. C., Hoard M. K., & Nugent L. ( 2012). Independent contributions of the central executive, intelligence, and in-class attentive behavior to developmental change in the strategies used to solve addition problems. Journal of Experimental Child Psychology, 113( 1), 49-65.
29	Hassinger-Das B., Jordan N. C., Glutting J., Irwin C., & Dyson N. ( 2014). Domain-general mediators of the relation between kindergarten number sense and first- grade mathematics achievement. Journal of Experimental Child Psychology, 118, 78-92.
30	Isquith P. K., Gioia G. A., & Espy K. A. ( 2004). Executive function in preschool children: Examination through everyday behavior. Developmental Neuropsychology, 26( 1), 403-422.
31	Jacob, R., & Parkinson, J. ( 2015). The potential for school-based interventions that target executive function to improve academic achievement: A review. Review of Educational Research, 85( 4), 512-552.
32	King C. M., Lancaster P. E., DeFrance N. L., Melin J. A., & Cleveland R. ( 2013). Curricular and pedagogical imperatives for fostering effective stem teacher preparation. Teacher Education & Practice, 26, 706-720.
33	Kolkman M. E., Hoijtink H. J. A., Kroesbergen E. H., & Leseman, P. P. M. ( 2013). The role of executive functions in numerical magnitude skills. Learning & Individual Differences, 24, 145-151.
34	LeFevre J. A., Berrigan L., Vendetti C., Kamawar D., Bisanz J., Skwarchuk S. L., .. Smith-Chant B. L. ( 2013). The role of executive attention in the acquisition of mathematical skills for children in grades 2 through 4. Journal of Experimental Child Psychology, 114( 2), 243-261.
35	McClelland M. M., Cameron C. E., Connor C. M., Farris C. L., Jewkes A. M., & Morrison F. J. ( 2007). Links between behavioral regulation and preschoolers' literacy, vocabulary, and math skills. Developmental Psychology, 43( 4), 947-959.
36	McLean, J. F., & Rusconi, E. ( 2014). Mathematical difficulties as decoupling of expectation and developmental trajectories. Frontiers in Human Neuroscience, 8, 44.
37	Miller M. R., Müller U., Giesbrecht G. F., Carpendale J. I., & Kerns K. A. ( 2013). The contribution of executive function and social understanding to preschoolers’ letter and math skills. Cognitive Development, 28( 4), 331-349.
38	Miyake, A., & Friedman, N. P. ( 2012). The nature and organization of individual differences in executive functions: Four general conclusions. Current Directions in Psychological Science, 21( 1), 8-14.
39	Monette S., Bigras M., & Guay M. C. ( 2011). The role of the executive functions in school achievement at the end of grade. Journal of Experimental Child Psychology, 109( 2), 158-173.
40	Montroy J. J., Bowles R. P., Skibbe L. E., & Foster T. D. ( 2014). Social skills and problem behaviors as mediators of the relationship between behavioral self-regulation and academic achievement. Early Childhood Research Quarterly, 29( 3), 298-309.
41	Ng F. F. Y., Tamis-Lemonda C., Yoshikawa H., & Sze, I. N. L. ( 2015). Inhibitory control in preschool predicts early math skills in first grade: Evidence from an ethnically diverse sample. International Journal of Behavioral Development, 39( 2), 139-149.
42	Östergren R, & Träff, U. ( 2013). Early number knowledge and cognitive ability affect early arithmetic ability. Journal of Experimental Child Psychology, 115( 3), 405-421.
43	Purpura D. J., Hume L. E., Sims D. M., & Lonigan C. J. ( 2011). Early literacy and early numeracy: The value of including early literacy skills in the prediction of numeracy development. Journal of Experimental Child Psychology, 110( 4), 647-658.
44	Raver C. C., Jones S. M., Li-Grining C., Zhai F. H., Bub K., & Pressler E. ( 2011). CSRP’s impact on low-income preschoolers’ preacademic skills: Self-regulation as a mediating mechanism. Child Development, 82( 1), 362-378.
45	Schoemaker K., Bunte T., Espy K. A., Deković M., & Matthys W. ( 2014). Executive functions in preschool children with ADHD and DBD: An 18-month longitudinal study. Developmental Neuropsychology, 39( 4), 302-315.
46	Steele A., Karmiloff-Smith A., Cornish K., & Scerif G. ( 2012). The multiple subfunctions of attention: Differential developmental gateways to literacy and numeracy. Child Development, 83( 6), 2028-2041.
47	Toll S. W. M., van der Ven, S. H. G., Kroesbergen E. H., & van Luit, J. E. H. ( 2011). Executive functions as predictors of math learning disabilities. Journal of Learning Disabilities, 44( 6), 521-532.
48	Tominey, S. L., & McClelland, M. M. ( 2011). Red light, purple light: Findings from a randomized trial using circle time games to improve behavioral self-regulation in preschool. Early Education & Development, 22( 3), 489-519.
49	van der ven, S. H. G., Kroesbergen, E. H., Boom J., & Leseman, P. P. M. ( 2012). The development of executive functions and early mathematics: A dynamic relationship. British Journal of Educational Psychology, 82( 1), 100-119.
50	Vukovic, R. K., & Lesaux, N. K. ( 2013). The relationship between linguistic skills and arithmetic knowledge. Learning & Individual Differences, 23, 87-91.
51	Watts T. W., Duncan G. J., Chen M. C., Claessens A., Davis-Kean P. E., Duckworth K., .. Susperreguy M. I. ( 2015). The role of mediators in the development of longitudinal mathematics achievement associations. Child Development, 86( 6), 1892-1907.
52	Weiland C., Barata M. C., & Yoshikawa H. ( 2014). The co-occurring development of executive function skills and receptive vocabulary in preschool-aged children: A look at the direction of the developmental pathways. Infant & Child Development, 23( 1), 4-21.
53	Weiland, C., & Yoshikawa, H. ( 2013). Impacts of a prekindergarten program on children's mathematics, language, literacy, executive function, and emotional skills. Child Development, 84( 6), 2112-2130.
54	Welsh J. A., Nix R. L., Blair C., Bierman K. L., & Nelson K. E. ( 2010). The development of cognitive skills and gains in academic school readiness for children from low-income families. Journal of Educational Psychology, 102( 1), 43-53.
55	White L. J., Alexander A., & Greenfield D. B. ( 2017). The relationship between executive functioning and language: Examining vocabulary, syntax, and language learning in preschoolers attending head start. Journal of Experimental Child Psychology, 164, 16-31.
56	Xenidou-Dervou I., De Smedt B., van der Schoot M., & van Lieshout, E. C. D. M. ( 2013). Individual differences in kindergarten math achievement: The integrative roles of approximation skills and working memory. Learning & Individual Differences, 28, 119-129.
57	Zelazo, P. D., & Carlson, S. M. ( 2012). Hot and cool executive function in childhood and adolescence: Development and plasticity. Child Development Perspectives, 6( 4), 354-360.
58	Zhang X., Hu B. Y., Ren L. X., & Fan X. T. ( 2017). Pathways to reading, mathematics, and science: Examining domain-general correlates in young Chinese children. Contemporary Educational Psychology, 51, 366-377.

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