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Relation between arithmetic performance and phonological working memory in children

ABSTRACT

Purpose

To compare the results of Loop Phonological Working Memory (LPWM) in children without global learning alterations, with lower and average/higher arithmetic performance.

Methods

The study was conducted with 30 children, between the ages of seven and nine years old, who attended the second or third grade of elementary school in the public network. Exclusion criteria were children with suggestive signs of hearing loss, neurological disorders, poor performance in the reading comprehension test or in speech therapy. The children included in the study were submitted to the subtest of arithmetic of Academic Achievement Test for division into two groups (G1 and G2). The G1 was composed of children with low performance in arithmetic and G2 for children with average/higher performance in arithmetic. All children were submitted to PWM assessment through the repetition of pseudowords test. Statistical analysis was performed using the Mann-Whitney test and a p-value <0.05 was considered significant.

Results

The study included 20 girls and 10 boys, mean age 8.7 years. The G1 was composed of 17 children and G2 of 13 children. There was a statistically significant difference between the groups studied for the repetition of pseudowords with three and four syllables.

Conclusion

The results of this study provide support for the hypothesis that changes in phonological working memory are related to difficulties in arithmetic tests.

Keywords
Memory; Learning; Speech, Language and Hearing Sciences; Child; Underachievement

RESUMO

Objetivo

Comparar os resultados da Memória de Trabalho - Alça Fonológica (MTAF) em crianças com dificuldades específicas em aritmética.

Método

O estudo foi realizado com 30 crianças, com idade entre sete e nove anos que frequentavam a segunda ou terceira série do Ensino Fundamental da rede pública de ensino. Foram excluídas da pesquisa as crianças com sinais sugestivos de perda auditiva, alterações neurológicas, baixo desempenho na prova de compreensão leitora ou em acompanhamento fonoaudiológico. As crianças incluídas na pesquisa foram submetidas ao subteste de aritmética do Teste de Desempenho Escolar para divisão em dois grupos (G1 e G2). O G1 foi composto por crianças com baixo desempenho em aritmética e o G2, por crianças com desempenho médio/superior em aritmética. Todas as crianças foram submetidas à avaliação da MTAF por meio da prova de repetição de palavras sem significado. Para análise estatística, foi utilizado o teste de Mann-Whitney, considerados significativos os valores de p-valor <0,05.

Resultados

Participaram do estudo 20 meninas e 10 meninos, com idade média de 8,7 anos. O G1 foi composto por 17 crianças e o G2, por 13 crianças. Houve diferença estatisticamente significativa entre os grupos estudados para a repetição de palavras sem significado com três e quatro sílabas, com pior desempenho para o G1.

Conclusão

Os resultados deste estudo fornecem suporte para a hipótese de que a alteração na MTAF está relacionada com dificuldades em aritméticas.

Descritores
Memória; Aprendizagem; Fonoaudiologia; Criança; Baixo Rendimento Escolar

INTRODUCTION

Working memory is involved in the temporary storage necessary for the mental manipulation of information, being indispensable in different complex cognitive functions. Amongst the subcomponents that make up this memory is the Phonological Loop Working Memory (PLWM) which is constituted by the phonological buffer and articulatory loop(11 Baddeley A. Working memory and language: an overview. J Commun Disord. 2003;36(3):189-208. PMid:12742667. http://dx.doi.org/10.1016/S0021-9924(03)00019-4.
http://dx.doi.org/10.1016/S0021-9924(03)...
,22 Baddeley A. Working memory: theories models and controversies. Annu Rev Psychol. 2012;63(1):1-29. PMid:21961947. http://dx.doi.org/10.1146/annurev-psych-120710-100422.
http://dx.doi.org/10.1146/annurev-psych-...
).

A way to evaluate the PLWM is by using the repetition of non-words or pseudo-words, given that this strategy eliminates the influence of lexical, semantic or syntactic clues(11 Baddeley A. Working memory and language: an overview. J Commun Disord. 2003;36(3):189-208. PMid:12742667. http://dx.doi.org/10.1016/S0021-9924(03)00019-4.
http://dx.doi.org/10.1016/S0021-9924(03)...
).

In recent decades, studies involving PLWM have investigated its influence on performance in reading(33 Barboza FBR, Garcia RB, Galera C. Memória de trabalho fonológica, atenção visual e leitura em crianças de 5ª e 6ª séries do ensino fundamental. Estud Psicol. 2015;20(2):82-91. http://dx.doi.org/10.5935/1678-4669.20150010.
http://dx.doi.org/10.5935/1678-4669.2015...
) and arithmetic(44 Willcutt EG, Petrill SA, Wu S, Boada R, Defries J, Olson R, et al. Comorbidity between reading disability and math disability: concurrent psychopathology, functional impairment, and neuropsychological functioning. J Learn Disabil. 2013;46(6):500-16. PMid:23449727. http://dx.doi.org/10.1177/0022219413477476.
http://dx.doi.org/10.1177/00222194134774...
). However, there is no consensus in the literature regarding the relationship between PLWM and arithmetic(33 Barboza FBR, Garcia RB, Galera C. Memória de trabalho fonológica, atenção visual e leitura em crianças de 5ª e 6ª séries do ensino fundamental. Estud Psicol. 2015;20(2):82-91. http://dx.doi.org/10.5935/1678-4669.20150010.
http://dx.doi.org/10.5935/1678-4669.2015...

4 Willcutt EG, Petrill SA, Wu S, Boada R, Defries J, Olson R, et al. Comorbidity between reading disability and math disability: concurrent psychopathology, functional impairment, and neuropsychological functioning. J Learn Disabil. 2013;46(6):500-16. PMid:23449727. http://dx.doi.org/10.1177/0022219413477476.
http://dx.doi.org/10.1177/00222194134774...

5 Ostad SA. Private speech use in arithmetical calculation: relationship with phonological memory skills in children with and without mathematical difficulties. Ann Dyslexia. 2015;65(2):103-19. PMid:25921017. http://dx.doi.org/10.1007/s11881-015-0103-1.
http://dx.doi.org/10.1007/s11881-015-010...
-66 Corso LV, Dorneles BV. Memória de trabalho, raciocínio lógico e desempenho em aritmética e leitura. Cien. Cogn. 2015;20(2):293.).

In this manner, studies that assess performance in arithmetic, without other alterations to learning, are necessary. Therefore, the objective of this study was to compare results in PLWM tasks, in children with specific difficulties in arithmetic.

METHODS

The present study was considered and approved by the Ethics Committee under the review nº 9503/2007. All the participants and their dependents were informed regarding the study and expressed their consent by way of signature on the Free and informed Consent.

The study was conducted with 30 children, of both genders, with ages between seven and nine years, who attended the third and fourth year of Primary School in the municipal public network. The selection of the school was done in a random manner by the Secretary of Education of the municipality and the children were selected by drawing lots in the target grades.

All children with signs of hearing loss, neurological alterations, difficulties with reading/writing, low performance on the reading comprehension test or in speech therapy treatment were excluded from the study.

The Tonal Threshold Audiometry test was conducted using Beta 6000 model equipment, Beta Medical brand. For the exclusion of the children with reading/writing difficulties, the teacher was asked to assess the performance of each student in reading and writing tasks as well as by utilizing the Reading of Sentences Competency test or TeCoLeSi(77 Capovilla AGS, Gutschow CRD, Capovilla FC. Habilidades Cognitivas que predizem competência de leitura e escrita. Psicol, Teor Pesqui. 2004;6(2):13.) to determine reading comprehension. We opted for excluding from the research, children with difficulties in reading and writing tasks to avoid erroneous conclusions. Therefore, only children with specific difficulties with arithmetic participated.

The children included in the research were submitted to the Teste de Desempenho Escolar (TDE)(88 Stein L. TDE: teste de desempenho escolar: manual para a aplicação e interpretação. São Paulo: Casa do Psicólogo; 1994.) subtest, according to the indications of the test authors. Following this, the children were divided into two groups, using the standards for normality suggested by the test. One group was made up of children with a performance below that expected for their age and schooling (G1) and the other group, was made up of children who obtained an average performance or above expectation (G2).

Following this, all the children were submitted to MTF evaluation using the repetition of words without meaning test(99 Kessler TM. Estudo da Memória Operacional em pré-escolares [dissertação]. Santa Maria: Universidade Federal de Santa Maria; 1997.).

The data was statistically processed using the SPSS 16.0® software. The Mann-Whitney test was used and p-values of <0.05 were considered significant.

RESULTS

20 female and 10 male children participated in the study, with 14 being from the third and 16 from the fourth year of Primary Schooling. The average age was 8.7 years old.

The G1 was made up of 17 children with a poor performance on the TDE arithmetic test and the G2 was made up of 13 children with an average or higher performance on the same test.

Graph 1 illustrates the results on the PLWM test for both study groups.

Graph 1
Comparison between the results for Phonological Working Memory in children with poor performance and average/higher performance in arithmetic

Table 1 presents the number of children, in each group, who achieved the maximum score for each number of syllables.

Table 1
Number of children who achieved the maximum score on the test for repetition of words without meaning by group studied

DISCUSSION

The present study showed that, to the extent that the number of syllables in the words without meaning increased, there was a reduction in the number of correct responses from the children during the PLWM test, in both groups. This finding is in agreement with various studies(33 Barboza FBR, Garcia RB, Galera C. Memória de trabalho fonológica, atenção visual e leitura em crianças de 5ª e 6ª séries do ensino fundamental. Estud Psicol. 2015;20(2):82-91. http://dx.doi.org/10.5935/1678-4669.20150010.
http://dx.doi.org/10.5935/1678-4669.2015...
,99 Kessler TM. Estudo da Memória Operacional em pré-escolares [dissertação]. Santa Maria: Universidade Federal de Santa Maria; 1997.,1010 Grivol MA, Hage SRV. Memória de trabalho fonológica: estudo comparativo entre diferentes faixas etárias. J Soc Bras Fonoaudiol. 2011;23(3):245-51. PMid:22012159. http://dx.doi.org/10.1590/S2179-64912011000300010.
http://dx.doi.org/10.1590/S2179-64912011...
,1111 Guedes-Granzotti RB, Furlan SA, Domenis DR, Ramos D, Fukuda MTH. Memória de trabalho fonológica e consciência fonológica em crianças com dificuldade de aprendizagem. Distúrb Comun. 2013;25(2):241-52.), confirming the influence of the length of words on performance in the MTF.

In the literature, the use of two main tests for the evaluation of PLWM was found, the repetition of non-words (or words without meaning) and the repetition of numbers both forwards and backwards. However, in this study, we opted for using only the test of repetition of words without meaning due to this test not providing any lexical clues, which facilitate memorization.

In this study, the comparison between the performance in the PLWM of children with an inferior performance (G1) with that of the children with average/higher performance in arithmetic (G2) was carried out. A significant difference can be observed between the groups in the execution of the test, with three and four syllables.

Though the effect of length in both groups is clear, we can observe, in Table 1, that this effect appears in G2 with words with a greater number of syllables (4 syllables or more), but appearing in shorter words in G1.

Some studies point toward a possible role for phonological memory in the realization of mathematical tasks (55 Ostad SA. Private speech use in arithmetical calculation: relationship with phonological memory skills in children with and without mathematical difficulties. Ann Dyslexia. 2015;65(2):103-19. PMid:25921017. http://dx.doi.org/10.1007/s11881-015-0103-1.
http://dx.doi.org/10.1007/s11881-015-010...
), more specifically due to the recruitment of executive functions(1212 Andersson U. The contribution of working memory to children’s mathematical word problem solving. Appl Cogn Psychol. 2007;21(9):1201-16. http://dx.doi.org/10.1002/acp.1317.
http://dx.doi.org/10.1002/acp.1317...
,1313 Corso LV, Dorneles BV. Qual o papel que a memória de trabalho exerce na aprendizagem da matemática? Bolema. 2012;26(42B):627-47. http://dx.doi.org/10.1590/S0103-636X2012000200011.
http://dx.doi.org/10.1590/S0103-636X2012...
). Other studies in their turn, showed no relationship between performance on the arithmetic tests and the MTF, however, in these studies, children with overall learning difficulties were not excluded(66 Corso LV, Dorneles BV. Memória de trabalho, raciocínio lógico e desempenho em aritmética e leitura. Cien. Cogn. 2015;20(2):293.).

Corso and Dorneles(1313 Corso LV, Dorneles BV. Qual o papel que a memória de trabalho exerce na aprendizagem da matemática? Bolema. 2012;26(42B):627-47. http://dx.doi.org/10.1590/S0103-636X2012000200011.
http://dx.doi.org/10.1590/S0103-636X2012...
), in their revision article, affirmed, based on the literature reviewed, that working memory would sustain the development of the diverse types of learning, including mathematics and that an alteration in one of its subcomponents is capable of leading to specific mathematical difficulties, as was seen in the present study.

The relationship between PLWM and performance in arithmetic can be explained by the fact that, for the realization of the mathematical operations, one should maintain in the memory the task to be executed while you mentally solve the problem. Further, working memory is related to other cognitive processes, which can also interfere with mathematical performance, such as processing speed(1313 Corso LV, Dorneles BV. Qual o papel que a memória de trabalho exerce na aprendizagem da matemática? Bolema. 2012;26(42B):627-47. http://dx.doi.org/10.1590/S0103-636X2012000200011.
http://dx.doi.org/10.1590/S0103-636X2012...
) and the recuperation of arithmetical facts contained in long-term memory(1313 Corso LV, Dorneles BV. Qual o papel que a memória de trabalho exerce na aprendizagem da matemática? Bolema. 2012;26(42B):627-47. http://dx.doi.org/10.1590/S0103-636X2012000200011.
http://dx.doi.org/10.1590/S0103-636X2012...
,1414 Silva JBL, Moura RJ, Wood G, Haase VG. Processamento fonológico e desempenho em aritmética: uma revisão da relevância para as dificuldades de aprendizagem. Temas Pscol. 2015;23(1):157-73. http://dx.doi.org/10.9788/TP2015.1-11.
http://dx.doi.org/10.9788/TP2015.1-11...
).

Therefore, this study showed that a poor performance in arithmetic, independent of other more global academic alterations (reading/writing) can be associated with an alteration in PLWM, which extends the discussion regarding the subject and shows the scientific community the importance of this evaluation even in children who present good academic performance and adequate reading comprehension.

CONCLUSION

The results of this study provided support for the hypothesis that there is a relationship between Phonological Loop Working Memory and performance in arithmetic tests, given that, in cases of specific alterations in arithmetic, it is probable that the child will also present alterations in the tasks evaluated for PLWM.

  • Study carried out at Faculdade de Medicina de Ribeirão Preto – FMRP, Universidade de São Paulo – USP - Ribeirão Preto (SP), Brazil.
  • Financial support: nothing to declare.

REFERÊNCIAS

  • 1
    Baddeley A. Working memory and language: an overview. J Commun Disord. 2003;36(3):189-208. PMid:12742667. http://dx.doi.org/10.1016/S0021-9924(03)00019-4
    » http://dx.doi.org/10.1016/S0021-9924(03)00019-4
  • 2
    Baddeley A. Working memory: theories models and controversies. Annu Rev Psychol. 2012;63(1):1-29. PMid:21961947. http://dx.doi.org/10.1146/annurev-psych-120710-100422
    » http://dx.doi.org/10.1146/annurev-psych-120710-100422
  • 3
    Barboza FBR, Garcia RB, Galera C. Memória de trabalho fonológica, atenção visual e leitura em crianças de 5ª e 6ª séries do ensino fundamental. Estud Psicol. 2015;20(2):82-91. http://dx.doi.org/10.5935/1678-4669.20150010
    » http://dx.doi.org/10.5935/1678-4669.20150010
  • 4
    Willcutt EG, Petrill SA, Wu S, Boada R, Defries J, Olson R, et al. Comorbidity between reading disability and math disability: concurrent psychopathology, functional impairment, and neuropsychological functioning. J Learn Disabil. 2013;46(6):500-16. PMid:23449727. http://dx.doi.org/10.1177/0022219413477476
    » http://dx.doi.org/10.1177/0022219413477476
  • 5
    Ostad SA. Private speech use in arithmetical calculation: relationship with phonological memory skills in children with and without mathematical difficulties. Ann Dyslexia. 2015;65(2):103-19. PMid:25921017. http://dx.doi.org/10.1007/s11881-015-0103-1
    » http://dx.doi.org/10.1007/s11881-015-0103-1
  • 6
    Corso LV, Dorneles BV. Memória de trabalho, raciocínio lógico e desempenho em aritmética e leitura. Cien. Cogn. 2015;20(2):293.
  • 7
    Capovilla AGS, Gutschow CRD, Capovilla FC. Habilidades Cognitivas que predizem competência de leitura e escrita. Psicol, Teor Pesqui. 2004;6(2):13.
  • 8
    Stein L. TDE: teste de desempenho escolar: manual para a aplicação e interpretação. São Paulo: Casa do Psicólogo; 1994.
  • 9
    Kessler TM. Estudo da Memória Operacional em pré-escolares [dissertação]. Santa Maria: Universidade Federal de Santa Maria; 1997.
  • 10
    Grivol MA, Hage SRV. Memória de trabalho fonológica: estudo comparativo entre diferentes faixas etárias. J Soc Bras Fonoaudiol. 2011;23(3):245-51. PMid:22012159. http://dx.doi.org/10.1590/S2179-64912011000300010
    » http://dx.doi.org/10.1590/S2179-64912011000300010
  • 11
    Guedes-Granzotti RB, Furlan SA, Domenis DR, Ramos D, Fukuda MTH. Memória de trabalho fonológica e consciência fonológica em crianças com dificuldade de aprendizagem. Distúrb Comun. 2013;25(2):241-52.
  • 12
    Andersson U. The contribution of working memory to children’s mathematical word problem solving. Appl Cogn Psychol. 2007;21(9):1201-16. http://dx.doi.org/10.1002/acp.1317
    » http://dx.doi.org/10.1002/acp.1317
  • 13
    Corso LV, Dorneles BV. Qual o papel que a memória de trabalho exerce na aprendizagem da matemática? Bolema. 2012;26(42B):627-47. http://dx.doi.org/10.1590/S0103-636X2012000200011
    » http://dx.doi.org/10.1590/S0103-636X2012000200011
  • 14
    Silva JBL, Moura RJ, Wood G, Haase VG. Processamento fonológico e desempenho em aritmética: uma revisão da relevância para as dificuldades de aprendizagem. Temas Pscol. 2015;23(1):157-73. http://dx.doi.org/10.9788/TP2015.1-11
    » http://dx.doi.org/10.9788/TP2015.1-11

Publication Dates

  • Publication in this collection
    2017

History

  • Received
    01 July 2016
  • Accepted
    02 Feb 2017
Sociedade Brasileira de Fonoaudiologia Al. Jaú, 684, 7º andar, 01420-002 São Paulo - SP Brasil, Tel./Fax 55 11 - 3873-4211 - São Paulo - SP - Brazil
E-mail: revista@codas.org.br