Improving number sense in kindergarten children with low achievement in mathematics

  1. Estíbaliz Aragón-Mendizábal
  2. Manuel Aguilar-Villagrán
  3. José I. Navarro-Guzmán
  4. Richard Howell
Revista:
Anales de psicología

ISSN: 0212-9728 1695-2294

Ano de publicación: 2017

Volume: 33

Número: 2

Páxinas: 311-318

Tipo: Artigo

DOI: 10.6018/ANALESPS.33.2.239391 DIALNET GOOGLE SCHOLAR

Outras publicacións en: Anales de psicología

Resumo

The present study evaluated the effectiveness of educational intervention software, Playing with Numbers-2 on early mathematics learning. This software trains learning and mathematical reasoning skills, using an evidenced-based procedure. A total of 156 second-year preschool boys and girls (Mean age = 65.39 months) were assessed by the Early Numeracy Test (ENT), a computerized test to evaluate early math competency. An experimental design with control group and pre and post-intervention assessments was used. Significant differences between pre- and post- intervention for the experimental group was obtained average increase for ENT scores achieved by the experimental group was significantly higher than the control group. The effect size was also significant (d = 1.35; and r = .56). This educational intervention using computer-based software, while it does not replace face-to-face instruction, may help to improve the performance of young students at risk of developing problems learning mathematics.

Información de financiamento

This study was founded by PSI2015-63856-P (MINECO/FEDER) project.

Financiadores

Referencias bibliográficas

  • Aktaş-Arnas, Y. (2005). Computer-Assisted Instruction in Pre-School Education. Eurasian Journal of Educational Research, 20, 36-47.
  • Aragón, E., Aguilar, M., Navarro, J., & Araújo, A. (2015). Efectos de la aplicación de un programa de entrenamiento específico para el aprendizaje matemático temprano en educación infantil. Revista Española de Pedagogía, 260, 99-113.
  • Aragón, E., Navarro, J. I., Aguilar, M., & Cerda, G. (2015). Cognitive predictors of 5-year-old students’ early number sense. Journal of Psychodidactics, 20(1), 83-97. doi:10.1387/RevPsicodidact.11088
  • Ayvaci, H. S., & Devecioglu, Y. (2010). Computer-assisted instruction to teach concepts in pre-school education. Procedia Social and Behavioral Sciences, 2, 2083-2087. doi:10.1016/j.sbspro.2010.03.285
  • Baroody, A. J. & Rosu, L. (2006). Adaptive expertise with basic addition and subtraction combinations – The number sense view. Paper presented at the Meeting of the American Educational Research Association, San Francisco, CA.
  • Bulut, S. (2013). Desarrollo de la inteligencia en niños en edad preescolar con desventajas socioeconómicas. Anales De Psicología / Annals of Psychology, 29(3), 855-864. doi:10.6018/analesps.29.3.168101
  • Butterworth, B., & Laurillard, D. (2010). Low numeracy and dyscalculia: identification and intervention. ZDM Mathematics Education, 42, 527–539. doi:10.1007/s11858-010-0267-4
  • Butterworth, B., Varma, S., & Laurillard, D. (2011). Dyscalculia: from brain to education. Science, 332(6033), 1049-1053. doi: 10.1126/science.1201536
  • Clements, D. H., & Sarama, J. (2007). Building blocks, Volumes 1 and 2. Columbus, OH: McGraw Hill Education.
  • Clements, D. H., & Sarama, J. (2011). Early childhood mathematics intervention. Science, 333(6045), 968–970. doi:10.1126/science.1204537
  • Dehaene, S. (2001). Precis of the number sense. Mind & Language, 16, 16−36. doi:10.1111/1468-0017.00154
  • Dehaene, S. (2009), Origins of mathematical intuitions. Annals of the New York Academy of Sciences, 1156, 232–259. doi: 10.1111/j.1749-6632.2009.04469.x
  • Dehaene, S., Piazza, M., Pinel, P., & Cohen, L. (2003). Three parietal circuits for number processing. Cognitive Neuropsychology, 20, 487-506. doi:10.1080/02643290244000239
  • Demir, N. & Kabadayı, A. (2008). Comparison of Traditional and Computer -Assisted Teaching Methods for Preschoolers’ Color Concept Acquisition. International Journal of Human Sciences. 5 (1) 1-18
  • Desoete, A., Ceulemans, A., De Weerdt, F., & Pieters, S. (2012). Can we predict mathematical learning disabilities from symbolic and non‐symbolic comparison tasks in kindergarten? Findings from a longitudinal study. British Journal of Educational Psychology, 82 (1), 64-81.
  • Döst, S., Saglam, Y., & Ugur Altay, A. (2011). Use of computer algebra systems in mathematics teaching at university: a teaching experiment. H. U. Journal of Education, 40, 140-151
  • Dowker, A. D. (2005). Individual differences in arithmetic. Implications for psychology, neuroscience and education. Hove, UK: Psychology Press.
  • Gee, J. P. (2009). Deep learning properties of good digital games: how far can they go? In U. Ritterfeld, M. Cody, & P. Vorderer (Eds.), Serious games: Mechanisms and effects (pp. 65–80). New York & London: Routledge.
  • Gersten, R., Jordan, N. C., & Flojo, J. R. (2005). Early identification and interventions for students with mathematics difficulties. Journal of Learning Disabilities, 38, 293–304. doi:10.1177/00222194050380040301
  • Gervasoni, A. (2005). The diverse learning needs of young children who were selected for an intervention program. In H. L. Chick y J. L. Vincent (Eds.), Proceedings of the 29th annual conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 33-40). Melbourne, Australia: PME.
  • Griffin, S. (2000). Number Worlds: Preschool level. Durham, NH: Number Worlds Alliance Inc.
  • Griffin, S. (2004). Building number sense with Number Worlds: A mathematics program for young children. Early Childhood Research Quarterly, 19, 173–180. doi:10.1016/j.ecresq.2004.01.012
  • Griffin, S., Case, R., & Capodilupo, A. (1995). Teaching for understanding: The importance of central conceptual structures in the elementary mathematics curriculum. In A. McKeough, I. Lupert, & A. Marini (Eds.), Teaching for transfer: Fostering generalization in learning (pp. 121–151). Hillsdale, NJ: Erlbaum.
  • Halpern, D. F., Millis, K., Graesser, A. C., Butler, H., Forsyth, C., & Cai, Z. (2012). Operation ARA: A computerized learning game that teaches critical thinking and scientific reasoning. Thinking Skills and Creativity, 7, 93-100.
  • Hindman, A. H., Skibbe, L. E., Miller, A., & Zimmerman, M. (2010). Ecological contexts and early learning: Contributions of child, family, and classroom factors during Head Start, to literacy and mathematics growth through first grade. Early Childhood Research Quarterly, 25, 235–250. doi:10.1016/j.ecresq.2009.11.003
  • Ihmedieh, F. (2010). The role of computer technology in teaching reading and writing: Early childhood teachers’ beliefs and practices. Journal of Research in Childhood Education, 24(1), 60-79. doi:10.1080/02568540903439409
  • Irish, C. (2002). Using peg- and keyword mnemonics and computer-assisted instruction to enhance basic multiplication performance in elementary students with learning and cognitive disabilities. Journal of Special Education Technology, 17(4), 29–40.
  • Jansen, B. R. J., Louwerse, J., Straatemeier, M., Van der Ven, S. H. G., Klinkenberg, S., & Van der Maas, H. L. J. (2013).The influence of experiencing success in math on math anxiety, perceived math competence, and math performance. Learning and Individual Differences, 24, 190–197
  • Jordan, N. C., Glutting, J., & Ramineni, C. (2008). A number sense assessment tool for identifying children at risk for mathematical difficulties. In A. Dowker (Ed.), Mathematical difficulties: Psychology and intervention (pp. 45-58). San Diego, CA: Academic Press. http://dx.doi.org/10.1016/B978-012373629-1.50005-8
  • Jordan, N. C., Kaplan, D., Locuniak, M. N., & Ramineni, C. (2007). Predicting first-grade math achievement from developmental number sense trajectories. Learning Disabilities Research & Practice, 22(1), 36−46. doi:10.1111/j.1540-5826.2007.00229.x
  • Jordan, N. C., Kaplan, D., Nabors Oláh, L. & Locuniak, M. N. (2006), Number sense growth in kindergarten: A longitudinal investigation of children at risk for mathematics difficulties. Child Development, 77, 153–175. doi: 10.1111/j.1467-8624.2006.00862.x
  • Jordan, N. C., Kaplan, D., Ramineni, C., & Locuniak, M. N. (2009). Early math matters: Kindergarten number competence and later mathematics outcomes. Developmental Psychology, 45(3), 850−867. doi:10.1037/a0014939
  • Judge, S., Puckett, K., & Cabuk, B. (2004). Digital equity: New findings from the early childhood longitudinal study. Journal of Research on Technology in Education, 36(4), 383-396.
  • Klinkenberg, S., Straatemeier, M., & van der Maas, H. L. J. (2011). Computer adaptive practice of maths ability using a new item response model for on the fly ability and difficulty estimation. Computers in Education, 57, 1813–1824. doi:10.1016/j.compedu.2011.02.003.
  • Klopfer, E., Osterweil, S., & Salen, K. (2009). Moving learning games forward: Obstacles, opportunities, & openness. Boston: The Education Arcade, Retrieved November 5, 2012, from http://education.mit.edu/papers/MovingLearningGamesForward_EdArcade.pdf.
  • Melton, B., Graf, H., & Chopak-Foss, J. (2009). Achievement and satisfaction in blended learning versus traditional general health course designs. International Journal for the Scholarship of Teaching and Learning, 3(1), 1–13.
  • National Research Council (2009). Mathematics learning in early childhood: Paths toward excellence and equity. Washington, DC: The National Academies Press.
  • Navarro, J. I., Aguilar, M., García, M., Menacho, I., Marchena, E., & Alcalde, C. (2010). Diferencias en habilidades matemáticas tempranas en niños y niñas de 4 a 8 años. Revista Española de Pedagogía, 68, 85-98.
  • Navarro, J. I., Ruiz, G., Alcalde, C., Aguilar, M. & Marchena, E. (2007). Jugando con los números 2. Software educativo. Cádiz: Departamento de Psicología.
  • Piaget, J., & Szeminska, A. (1941). Génesis del número en el niño. Buenos Aires: Guadalupe.
  • Pianta, R. C., Belsky, J., Houts, R., & Morrison, F. (2007). Opportunities to learn in America’s elementary classrooms. Science, 315, 1795–1976. doi:10.1126/science.1139719
  • Räsänen, P., Salminen, J., Wilson, A. J., Aunio, P., & Dehaene, S. (2009). Computer-assisted intervention for children with low numeracy skills. Cognitive Development, 24(4), 450-472. http://dx.doi.org/10.1016/j.cogdev.2009.09.003
  • Reynolds, A. J., Temple, J. A., White, B. A. B., Ou, S., & Robertson, D. L. (2011). Age 26 cost– benefit analysis of the child-parent center early education program. Child Development, 82, 379–404. doi:10.1111/j.1467-8624.2010.01563.x
  • Reynolds, A., Temple, J. A., & Ou, S. R. (2010). Preschool education, educational attainment, and crime prevention: Contributions of cognitive and non-cognitive skills. Children and Youth Service Review, 32, 1054−1063. doi:10.1016/j.childyouth.2009.10.019
  • Saade, R. G., Morin, D., & Thomas, J. D. (2012). Critical thinking in E-learning environments. Computers in Human Behavior, 28(5), 1608-1617.
  • Sarama, J., Clements, D. H., Starkey, P., Klein, A., & Wakeley, A. (2008). Scaling up the implementation of a pre-kindergarten mathematics curriculum: Teaching for understanding with trajectories and technologies. Journal of Research on Educational Effectiveness, 1, 89–119. doi:10.1080/19345740801941332
  • Schneider, M., Grabner, R. H., & Paetsch, J. (2009). Mental number line, number line estimation, and mathematical achievement: Their interrelations in grades 5 and 6. Journal of Educational Psychology, 101(2), 359-372. doi:10.1037/a0013840
  • Toll, S. W., & Van Luit, J. E. (2014). Effects of remedial numeracy instruction throughout kindergarten starting at different ages: Evidence from a large-scale longitudinal study. Learning and Instruction, 33, 39-49.
  • Torgerson, C. J., Wiggins, A., (…) & Tymms, P. (2012). The effectiveness of an intensive individual tutoring programme (Numbers Count) delivered individually or to small groups of children: a randomized controlled trial. Effective Education, 4(1), 73. doi:86. 10.1080/19415532.2013.778591
  • U.S. Department of Health and Human Services. (2009). Head Start State Collaboration Offices 2007 Annual State Profiles. Retrieved December, 1, 2012, from http://eclkc.ohs.acf.hhs.gov/hslc/states/collaboration/HSSCO/HSSCO_2007_Profiles1[1].pdf
  • Van Luit, J., Van De Rijt, B., Araújo, A., Aguilar, M., Aragón, E., Ruiz, G., …García-Sedeño, M. (2015). Test de evaluación de la competencia matemática temprana-revisado (TEMT-i). Madrid: EOS (en prensa)
  • Vernadakis, N., Avgerinos, A., Tsitskari, E., & Zachopoulou, E. (2005). The use of computer assisted instruction in preschool education: making teaching meaningful. Early Childhood Education Journal, 33, 2, 99-104. doi:10.1007/s10643-005-0026-2
  • Vernadakis, N., Giannousi, M., Derri, V., Michalopoulos, M., & Kioumourtzoglou, E. (2012). The impact of blended and traditional instruction in students’ performance. Procedia Technology, 1, 439–443. doi:10.1016/j.protcy.2012.02.098
  • Wilson, A. J., Dehaene, S., Dubois, O., & Fayol, M. (2009). Effects of an adaptive game intervention on accessing number sense in low‐socioeconomic‐status kindergarten children. Mind, Brain, and Education, 3(4), 224-234.
  • Wilson, A. J., Dehaene, S., Pinel, P., Revkin, S. K., Cohen, L., & Cohen, D. (2006). Principles underlying the design of “The Number Race”, an adaptive computer game for remediation of dyscalculia. Behavioral and Brain Functions, 2(19).
  • Wilson, A. J., Revkin, S. K., Cohen, D., Cohen, L., & Dehaene, S. (2006). An open trial assessment of “The Number Race”, an adaptive computer game for remediation of dyscalculia. Behavioral and Brain Functions, 2(20). doi:10.1186/1744-9081-2-20.
  • Wilson, A.J., & Dehaene, S. (2007). Number Sense and Developmental Dyscalculia. In D. Coch, G. Dawson and K.W. Fischer (Ed.), Human behavior, learning, and the developing brain: Atypical development (pp. 212-238). New York: Guilford Press.
  • Wright, R. J., Martland, J., Stafford, A. K., & Stanger, G. (2006). Teaching number: Advancing children's skills and strategies. London: Paul Chapman Publishing.
  • Young-Loveridge, J. (2004). Effects on early numeracy of a program using number books and games. Early Childhood Research Quarterly, 19, 82-98. doi:10.1016/j.ecresq.2004.01.001