Measures and References: Operations

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Measures

Numerous measures exist to gain a full picture of a student's learning strengths and challenges. Following are examples of measures used to assess this Learner Factor. These measures should be administered and interpreted by experienced professionals.

Numerical Operations Subtest of the Wechsler Individual Achievement Test (WIAT-III) (Wechsler, 2009): Standardized test assessing procedural knowledge of Operations, including arithmetic with fractions and negative integers.

References

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Best, J. R., Miller, P. H., & Naglieri, J. A. (2011). Relations between executive function and academic achievement from ages 5 to 17 in a large, representative national sample. Learning and Individual Differences, 21(4), 327-336.

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), 288-308.

Berry III, R. Q., Thunder, K., & McClain, O. L. (2011). Counter narratives: Examining the mathematics and racial identities of Black boys who are successful with school mathematics. Journal of African American Males in Education, 2(1).

Blanton, M., Stephens, A., Knuth, E., Gardiner, A., Isler, I., & Kim, J. (2015). The development of children's algebraic thinking: The impact of a comprehensive early algebra intervention in third grade. Journal for Research in Mathematics Education, 46(1), 39-87.

Carpenter, T. P., Franke, M. L., Jacobs, V. R., Fennema, E., & Empson, S. B. (1998). A longitudinal study of invention and understanding in children's multidigit addition and subtraction. Journal for Research in Mathematics Education, 29(1), 37-50.

Chaddock-Heyman, L., Erickson, K. I., Kienzler, C., King, M., Pontifex, M. B., Raine, L. B., ... & Kramer, A. F. (2015). The role of aerobic fitness in cortical thickness and mathematics achievement in preadolescent children. PloS one, 10(8), e0134115.

De Smedt, B., Holloway, I. D., & Ansari, D. (2011). Effects of problem size and arithmetic operation on brain activation during calculation in children with varying levels of arithmetical fluency. NeuroImage, 57(3), 771-781.

De Visscher, A., & Noel, M. P. (2014). The detrimental effect of interference in multiplication facts storing: Typical development and individual differences. Journal of Experimental Psychology: General, 143(6), 2380-2400.

Green, C. T., Bunge, S. A., Briones Chiongbian, V., Barrow, M., & Ferrer, E. (2017). Fluid reasoning predicts future mathematical performance among children and adolescents. Journal of Experimental Child Psychology, 157, 125-143.

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Kleemans, T., Segers, E., & Verhoeven, L. (2012). Naming speed as a clinical marker in predicting basic calculation skills in children with specific language impairment. Research in Developmental Disabilities, 33, 882-889.

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Moeller, K., Pixner, S., Zuber, J., Kaufmann, L., & Nuerk, H. (2011). Early place-value understanding as a precursor for later arithmetic performance -- A longitudinal study on numerical development. Research in Developmental Disabilities, 32(5), 1837-1851.

Namkung, J., Fuchs, L. S., & Koziol, N. (2018). Does initial learning about the meaning of fractions present similar challenges for students with and without adequate whole-number skill? Learning and Individual Differences, 61, 165-171.

Parham, Diane, L. (1998). The relationship of sensory integrative development to achievement in elementary students: Four-year longitudinal patterns. The Occupational Therapy Journal of Research, 18(3), 105-127.

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Ramdass, D., & Zimmerman, B. J. (2008). Effects of self correction strategy training on middle school student's self-efficacy, self-evaluation, and mathematics division learning. Journal of Advanced Academics, 20(1), 18-41.

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Robinson, K. M., Arbuthnott, K. D., Rose, D., McCarron, M. C., Globa, C. A., & Phonexay, S. D. (2006). Stability and change in children's division strategies. Journal of Experimental Child Psychology, 93(3), 224-238.

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Wechsler, D. (2009). Wechsler Individual Achievement Test 2nd Edition (WIAT III). San Antonio, TX: The Psychological Corp.

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