Cognitive Characteristics in Primary School Children with Different Levels of Mathematical Achievement
The aim of the article is to investigate the characteristics of the cognitive functioning of primary school children with different levels of mathematics achievement. The study analyzed both basic cognitive characteristics - processing speed, working memory, number sense, and general characteristics - nonverbal intelligence. Computerized test tasks "Choice Reaction Time", "Corsi Block", "Number Sense" were used to test basic cognitive characteristics; the paper version of the "Standard Progressive Matrices" test was used to test the level of nonverbal intelligence. The study involved all students in grades 2-4 of a general educational institution aged 7.8 to 11.5 years. All participants were divided into three groups according to the annual math grade: "Excellent performance", "Good performance", "Satisfactory performance". The results of variance analysis revealed statistically significant differences between the three groups of primary school children ("Excellent performance", "Good performance" or "Satisfactory performance") in working memory, Number sense and nonverbal intelligence. The greatest differences were observed for nonverbal intelligence - 21% of the variance of this indicator is explained by the student's belonging to the group "Excellent performance", "Good performance" or "Satisfactory performance". The processing speed does not differ in primary school children with excellent, good and satisfactory performance in mathematics. The results of the correlation analysis showed that the structure of relationships changes in groups with different performance - in the group with satisfactory performance; there are a greater number of connections than in the excellent performance group. In addition, higher correlation coefficients are observed in the group of schoolchildren with satisfactory performance compared with the group of schoolchildren with excellent performance. In particular, working memory and nonverbal intelligence are statistically interrelated only in groups of younger students with good and satisfactory math performance, and the coefficient of communication increases with the deterioration of performance. It is possible that these schoolchildren solve learning problems by attracting additional cognitive and non-cognitive resources. The results obtained are interpreted in terms of the resource productivity theory in solving problems of different levels of complexity.
Keywords
когнитивное функционирование,
скорость переработки информации,
рабочая память,
невербальный интеллект,
чувство числа,
математика,
успеваемость,
младший школьный возраст,
cognitive development,
processing speed,
working memory,
nonverbal intelligence,
number sense,
mathematics,
progress,
primary school ageAuthors
Tikhomirova Tatiana N. | Lomonosov Moscow State University; Russian Academy of Education | tikho@mail.ru |
Khusnutdinova Elsa K. | Lomonosov Moscow State University | elzakh@mail.ru |
Malykh Sergey B. | Lomonosov Moscow State University; Russian Academy of Education | malykhsb@mail.ru |
Всего: 3
References
Power C., Kuh D., Morton S. From developmental origins of adult disease to life course research on adult disease and aging: insights from birth cohort studies // Public Health. 2013. Vol. 34 (1). P. 7-28.
Тихомирова Т.Н., Малых С.Б. Когнитивные основы индивидуальных различий в успешности обучения. М. ; СПб. : Нестор-История, 2017. 312 c.
Brouwers S.A., van de Vijver F.J.R., van Hemert D.A. Variation in Raven's Progressive Matrices scores across time and place // Learning and Individual Differences. 2009. Vol. 19. P. 330-338.
Geary D.C., Hoard M.K., Byrd-Craven J., Nugent L., Numtee C. Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability // Child Development. 2007. Vol. 78. P. 1343-1359.
Luo D., Thompson L.A., Detterman D.K. The criterion validity of tasks of basic cognitive processes // Intelligence. 2006. Vol. 34 (1). P. 79-120.
Мисожникова Е.Б. Роль скорости переработки информации в успешности выполне ния тестовых заданий в старшем дошкольном возрасте // Теоретическая и экспериментальная психология. 2014. Т. 7, № 1. С. 38-42.
Semmes R., Davison M.L., Close C. Modeling Individual Differences in Numerical Rea soning Speed as a Random Effect of Response Time Limits // Applied Psychological Measurement. 2011. Vol. 35, № 6. P. 433-446.
Тихомирова Т.Н., Ковас Ю.В. Взаимосвязь когнитивных характеристик учащихся и успешности решения математических заданий (на примере старшего школьного возраста) // Психологический журнал. 2013. Т. 34, № 1. С. 63-73.
Der G., Deary I.J. Age and sex differences in reaction time in adulthood: Results from the United Kingdom Health and Lifestyle Survey // Psychology and Aging. 2006. Vol. 21. P. 62-73.
Тихомирова Т.Н., Воронин И.А., Мисожникова Е.Б., Малых С.Б. Структура взаимосвязей когнитивных характеристик и академической успешности в школьном возрасте // Теоретическая и экспериментальная психология. 2015. Т. 8, № 8. С. 55-68.
Rindermann H., Neubauer A.C. Processing speed, intelligence, creativity, and school performance: testing of causal hypotheses using structural equation model // Intelligence. 2004. Vol. 32. P. 573-589.
Белова А.П., Малых С.Б. Природа индивидуальных различий рабочей памяти // Теоретическая и экспериментальная психология. 2013. Т. 6, № 3. С. 54-64.
Kyttala M., Aunio P., Lehto J.E., Van Luit J., Hautamaki J. Visuospatial working memory and early numeracy // Educational and Child Psychology. 2003. Vol. 20. P. 65-76.
Maybery M.T., Do N. Relationships between facets of working memory and performance on a curriculum-based mathematics test in children // Educational and Child Psychology. 2003. Vol. 20 (3). P. 77-92.
Bull R., Espy K.A., Wiebe S.A. Short-Term Memory, Working Memory, and Executive Functioning in Preschoolers: Longitudinal Predictors of Mathematical Achievement at Age 7 Years // Developmental Neuropsychology. 2008. Vol. 33. P. 205-228.
Owens M., Stevenson J., Norgate R., Hadwin J.A. Processing efficiency theory in children: Working memory as a mediator between trait anxiety and academic performance // Anxiety, Stress, & Coping. 2008. Vol. 21(4). P. 417-430.
Tikhomirova Т. Spatial thinking and memory in Russian high school students with different levels of mathematical fluency // Procedia - Social and Behavioral Sciences. 2017. Vol. 237. Р. 1260-1264.
Uttal D.H., Meadow N.G., Tipton E., Hand L.L., Alden A.R., Warren C., Newcombe N.S. The malleability of spatial skills: a meta-analysis of training studies // Psychological bulletin. 2013. Vol. 139 (2). Р. 352-402.
Spence I., Feng J. Video games and spatial cognition // Review of General Psychology. 2010. Vol. 14 (2). Р. 92-104.
Halberda J., Mazzocco M.M., Feigenson L. Individual differences in nonverbal estimation ability predict maths achievement // Nature. 2008. Vol. 455. Р. 665-668.
Тихомирова Т.Н., Малых С.Б., Тосто М.Г., Ковас Ю.В. Когнитивные характеристики и успешность в решении математических заданий в старшем школьном возрасте: кросскультурный анализ // Психологический журнал. 2014. Т. 35, № 1. С. 41-53.
Моросанова В.И., Фомина Т.Г., Ковас Ю.В. Взаимосвязь регуляторных, интеллектуальных и когнитивных особенностей учащихся с математической успешностью // Психологические исследования. 2014. Т. 7, № 34. С. 11. URL: http://psystudy.ru
Inglis M., Attridge N., Batchelor S., Gilmore C. Non-verbal number acuity correlates with symbolic mathematics achievement: but only in children // Psychonomic Bulletin & Review. 2011. Vol. 18 (6). Р. 1222-1229.
Soltesz F., Scoz D., Scoz L. Relationship between magnitude representation, counting and memory in 4- to 7-year old children: a developmental study // Behavioral and Brain Functions. 2010. Vol. 6 (13). Р. 1-14.
Тихомирова Т.Н., Малых С.Б. Чувство числа и успешность в обучении математике в младшем школьном возрасте: перекрестно-лонгитюдный анализ // Психологический журнал. 2018. Т. 39, № 6. С. 47-58.
Von Stumm S., Plomin R. Socioeconomic status and the growth of intelligence from infancy through adolescence // Intelligence. 2015. Vol. 48. P. 30-36.
Deary I.J., Strand S., Smith P., Fernandez C. Intelligence and educational achievement // Intelligence. 2007. Vol. 35. Р. 13-21.
Taub G.E., Keith T.Z., Floyd R.G., McGrew K.S. Effects of general and broad cognitive abilities on mathematics achievement // School Psychology Quarterly. 2008. Vol. 53. Р. 187-198.
Nisbett R. Intelligence and how to get it: Why schools and cultures count. New York : WW Norton, 2009.
Tikhomirova T., Kuzmina Y., Lysenkova I., Malykh S. Development of Approximate Number Sense across the Elementary School Years: a Cross-cultural Longitudinal Study // Developmental Science. 2019. https://doi.org/10.1111/desc.12823
Tosto M.G., Tikhomirova T., Galajinsky E., Akimova K., Kovas Y. Development and Validation of a Mathematics-number sense Web-based Test Battery // Procedia - Social and Behavioral Sciences. 2013. Vol. 86. Р. 423-428.
Равен Дж., Равен Дж.К., Корт Дж. Стандартные прогрессивные матрицы : руководство. М. : Когито-Центр, 2002. 144 с.
Тихомирова Т.Н., Модяев А.Д., Леонова Н.М., Малых СБ. Факторы успешности в обучении на начальной ступени общего образования: половые различия // Психологический журнал. 2015. Т. 36, № 5. C. 43-54.
Eccles J.S. Where are all the women? Gender differences in participation in physical science and engineering // Why aren't more women in science? Top researchers debate the evidence / S.J. Ceci, W.M. Williams (eds.). Washington, DC : American Psychological Association, 2007. P. 199-210.
Bartels M., Rietveld M.J., van Baal G.C., Boomsma D.I. Heritability of educational achievement in 12-year-olds and the overlap with cognitive ability // Twin Research. 2002. Vol. 5. Р. 544-553.
Brody N. What cognitive intelligence is and what emotional intelligence is not // Psychological Inquiry. 2004. Vol. 15. Р. 234-238.
Jencks C. Who gets ahead? The determinants of economic success in America. New York : Basic Books, 1979.
Tosto M.G., Petrill S.A., Halberda J., Trzaskowski M., Tikhomirova T.N., Bogdano-va O.Y.,.. Plomin R. Why do we differ in Number sense? Evidence from a genetically sensitive investigation // Intelligence. 2014. Vol. 43. Р. 35-46.
Дружинин В.Н. Психология общих способностей. 3-е изд. СПб. : Питер, 2007.