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ITL516: Mathematics Integrative Design: Math Learning Difficulties

Read About Math Learning Difficulties for Elementary School Students

Number Sense

The articles below are part of the library's online collection. To read an article, click on it's title. You may be asked to verify you are a current NU student.

Hiniker, A., Rosenberg-Lee, M., & Menon, V. (2016). Distinctive role of symbolic number sense in mediating the mathematical abilities of children with autism. Journal of autism and developmental disorders, 46(4), 1268-1281.

Ivrendi, A. (2011). Influence of self-regulation on the development of children’s number sense. Early Childhood Education Journal, 39(4), 239–247. https://doi.org/10.1007/s10643-011-0462-0

Linder, S. M., Powers-Costello, B., & Stegelin, D. A. (2011). Mathematics in early childhood: Research-based rationale and practical strategies. Early Childhood Education Journal, 39(1), 29-37. https://doi.org/10.1007/s10643-010-0437-6

Toll, S. W. M., Kroesbergen, E. H., & Van Luit, J. E. H. (2016). Visual working memory and number sense: Testing the double deficit hypothesis in mathematics. British Journal of Educational Psychology, 86(3), 429–445. https://doi.org/10.1111/bjep.12116

Tosto, M. G., Petrill, S. A., Malykh, S., Malki, K., Haworth, C. M. A., Mazzocco, M. M. M., … Kovas, Y. (2017). Number sense and mathematics: Which, when and how? Developmental Psychology, 53(10), 1924–1939. https://doi.org/10.1037/dev0000331.supp (Supplemental)


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Multiplication

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Liu, R.-D., Ding, Y., Xu, L., & Wang, J. (2017). Involvement of working memory in mental multiplication in Chinese elementary students. Journal of Educational Research, 110(4), 380–390. https://doi.org/10.1080/00220671.2015.1103689

McCrink, K., & Spelke, E. S. (2010). Core multiplication in childhood. Cognition, 116(2), 204-216. https://doi.org/10.1016/j.cognition.2010.05.003

Ploger, D., & Hecht, S. (2012). Meaning, memory, and multiplication: Integrating patterns and properties with basic facts. Childhood Education, 88(3), 169-176. https://doi.org/10.1080/00094056.2012.682550

Skarr, A., Zielinski, K., Ruwe, K., Sharp, H., Williams, R. L., & McLaughlin, T. F. (2014). The effects of direct instruction flashcard and math racetrack procedures on mastery of basic multiplication facts by three elementary school students. Education and Treatment of Children, 37(1), 77-93. https://doi.org/10.1353/etc.2014.0007

Zhang, D., Xin, Y. P., Harris, K., & Ding, Y. (2014). Improving multiplication strategic development in children with math difficulties. Learning Disability Quarterly, 37(1), 15-30. https://doi.org/10.1177/0731948713500146

 

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Place Value

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Bailey, J. (2015). Supporting lower-achieving seven- and eight-year-old children with place value understandings. Australian Primary Mathematics Classroom, 20(3), 3–9.

Barner, D., Athanasopoulou, A., Chu, J., Lewis, M., Marchand, E., Schneider, R., & Frank, M. (2017). A one-year classroom-randomized trial of mental abacus instruction for first-and second-grade students. Journal of Numerical Cognition, 3(3), 540-558. https://doi.org/10.5964/jnc.v3i3.106

Berman, J. (2011). SToPV : A five minute assessment of place value. Australian Primary Mathematics Classroom, 16(4), 24–28.

Chambris, C. (2018). The influence of theoretical mathematical foundations on teaching and learning: a case study of whole numbers in elementary school. Educational Studies in Mathematics, 97(2), 185–207. https://doi.org/10.1007/s10649-017-9790-3

Fraivillig, J. L. (2018). Enhancing established counting routines to promote place-value understanding: An empirical study in early elementary classrooms. Early Childhood Education Journal, 46(1), 21-30. https://doi.org/10.1007/s10643-016-0835-5

Lambert, K., & Moeller, K. (2019). Place-value computation in children with mathematics difficulties. Journal of Experimental Child Psychology, 178, 214–225. https://doi.org/10.1016/j.jecp.2018.09.008 

 

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Counting and Cardinality

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Fuhs, M. W., Hornburg, C. B., & McNeil, N. M. (2016). Specific early number skills mediate the association between executive functioning skills and mathematics achievement. Developmental Psychology, 52(8), 1217–1235. https://doi.org/10.1037/dev0000145

Lee, J. (2016). Investigating children’s abilities to count and make quantitative comparisons. Early Childhood Education Journal, 44(3), 255-262. https://doi.org/10.1007/s10643-015-0707-4

Muldoon, K., Towse, J., Simms, V., Perra, O., & Menzies, V. (2013). A longitudinal analysis of estimation, counting skills, and mathematical ability across the first school year. Developmental Psychology, 49(2), 250–257. https://doi.org/10.1037/a0028240.supp (Supplemental)

Posid, T., & Cordes, S. (2018). How high can you count? Probing the limits of children’s counting. Developmental Psychology, 54(5), 875–889. https://doi.org/10.1037/dev0000469

Zhang, X., Koponen, T., Räsänen, P., Aunola, K., Lerkkanen, M. K., & Nurmi, J. E. (2014). Linguistic and spatial skills predict early arithmetic development via counting sequence knowledge. Child development, 85(3), 1091-1107. https://doi.org/10.1111/cdev.12173

 

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