Mathematical learning difficulty (MLD) is prevalent in the development of mathematical abilities. Previous interventions for children with MLD have focused on number sense or basic mathematical skills. This study investigated whether mathematical performance of fifth grade children with MLD could be improved by developing knowledge structures by testing using a web-based curriculum learning system. A total of 142 children with MLD were recruited; half of the children were in the experimental group (using the system), and the other half were in the control group (not using the system). The children were encouraged to use the web-based learning system at home for at least a 15-min session, at least once a week, for one and a half months. The mean accumulated time of testing on the system for children in the experimental group was 56.2 min. Children in the experimental group had significantly higher scores on their final mathematical examination compared to the control group. The results suggest that web-based curriculum learning through testing that promotes the building of knowledge structures for a mathematical course was helpful for children with MLD.
ArdoinS. P.WittJ. C.ConnellJ. E.KoenigJ. L. (2005). Application of a three-tiered response to intervention model for instructional planning, decision making, and the identification of children in need of services. Journal of Psychoeducational Assessment, 23, 362–380.
2.
BloomB. S.EngelhartM. D.FurstE. J.HillW. H.KrathwohlD. R. (1956). Taxonomy of educational objectives: The classification of educational goals; Handbook I: Cognitive domain. New York, NY: Longmans, Green.
3.
ButterworthB. (2010). Foundational numerical capacities and the origins of dyscalculia. Trends in Cognitive Sciences, 14, 534–541.
4.
ButterworthB.KovasY. (2013). Understanding neurocognitive developmental disorders can improve education for all. Science, 340, 300–305.
5.
ButterworthB.LaurillardD. (2010). Low numeracy and dyscalculia: Identification and intervention. ZDM, 42, 527–539.
6.
CarpenterS. K.PashlerH. (2007). Testing beyond words: Using tests to enhance visuospatial map learning. Psychonomic Bulletin & Review, 14, 474–478.
7.
ChularutP.DeBackerT. K. (2004). The influence of concept mapping on achievement, self-regulation, and self-efficacy in students of English as a second language. Contemporary Educational Psychology, 29, 248–263.
8.
CohenJ. (1992). Statistical power analysis. Current Directions in Psychological Science, 1(3), 98–101.
9.
FuchsL. S.FuchsD.PrenticeK.HamlettC. L.FinelliR.CoureyS. J. (2004). Enhancing mathematical problem solving among third-grade students with schema-based instruction. Journal of Educational Psychology, 96, 635–647.
10.
FuchsL. S.SeethalerP. M.PowellS. R.FuchsD.HamlettC. L.FletcherJ. M. (2008). Effects of preventative tutoring on the mathematical problem solving of third-grade students with math and reading difficulties. Exceptional Children, 74, 155–173.
11.
GinsburgH. P.BaroodyA. J. (1990). Test of Early Mathematics Ability: Profile/examiner record form. Austin, TX: PRO-ED.
12.
Gross-TsurV.ManorO.ShalevR. S. (1996). Developmental dyscalculia: Prevalence and demographic features. Developmental Medicine & Child Neurology, 38, 25–33.
13.
GuastelloE. F.BeasleyT. M.SinatraR. C. (2000). Concept mapping effects on science content comprehension of low-achieving inner-city seventh graders. Remedial and Special Education, 21, 356–364.
14.
HanichL. B.JordanN. C.KaplanD.DickJ. (2001). Performance across different areas of mathematical cognition in children with learning difficulties. Journal of Educational Psychology, 93, 615–626.
15.
HutchinsonN. L. (1993). Effects of cognitive strategy instruction on algebra problem solving of adolescents with learning disabilities. Learning Disability Quarterly, 16, 34–63.
16.
JitendraA.DiPipiC. M.Perron-JonesN. (2002). An exploratory study of schema-based word-problem-solving instruction for middle school students with learning disabilities: An emphasis on conceptual and procedural understanding. Journal of Special Education, 36, 23–38.
17.
JitendraA. K.GriffinC. C.McGoeyK.GardillM. C.BhatP.RileyT. (1998). Effects of mathematical word problem solving by students at risk or with mild disabilities. Journal of Educational Research, 91, 345–355.
18.
JitendraA. K.HoffK. (1996). The effects of schema-based instruction on the mathematical word-problem-solving performance of students with learning disabilities. Journal of Learning Disabilities, 29, 422–431.
19.
JitendraA. K.HoffK.BeckM. M. (1999). Teaching middle school students with learning disabilities to solve word problems using a schema-based approach. Remedial and Special Education, 20, 50–64.
20.
KarpickeJ. D.BluntJ. R. (2011). Retrieval practice produces more learning than elaborative studying with concept mapping. Science, 331, 772–775.
21.
KarpickeJ. D.RoedigerH. L.III. (2007a). Expanding retrieval practice promotes short-term retention, but equally spaced retrieval enhances long-term retention. Journal of Experimental Psychology: Learning, Memory, and Cognition, 33, 704–719.
22.
KarpickeJ. D.RoedigerH. L.III. (2007b). Repeated retrieval during learning is the key to long-term retention. Journal of Memory and Language, 57, 151–162.
23.
KarpickeJ. D.RoedigerH. L. (2008). The critical importance of retrieval for learning. Science, 319, 966–968.
24.
KoontzK. L. (1996). Identifying simple numerical stimuli: Processing inefficiencies exhibited by arithmetic learning disabled children. Mathematical Cognition, 2, 1–24.
25.
KovasY.HaworthC.HarlaarN.PetrillS. A.DaleP. S.PlominR. (2007). Overlap and specificity of genetic and environmental influences on mathematics and reading disability in 10-year-old twins. Journal of Child Psychology and Psychiatry, 48, 914–922.
26.
LanderlK.BevanA.ButterworthB. (2004). Developmental dyscalculia and basic numerical capacities: A study of 8–9-year-old students. Cognition, 93, 99–125.
27.
LarkinJ. H.McDermottJ.SimonD. P.SimonH. A. (1980). Models of competence in solving physics problems. Cognitive Science, 4, 317–345.
28.
MarshallS. P. (1995). Schemas in problem solving. Cambridge, UK: Cambridge University Press.
29.
MazzoccoM. M.MyersG. F. (2003). Complexities in identifying and defining mathematics learning disability in the primary school-age years. Annals of Dyslexia, 53, 218–253.
30.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
31.
NovakJ. D.MusondaD. (1991). A twelve-year longitudinal study of science concept learning. American Educational Research Journal, 28, 117–153.
32.
PankratiusW. J. (1990). Building an organized knowledge base: Concept mapping and achievement in secondary school physics. Journal of Research in Science Teaching, 27, 315–333.
33.
PowellS. R.FuchsL. S.FuchsD.CirinoP. T.FletcherJ. M. (2009). Effects of fact retrieval tutoring on third-grade students with math difficulties with and without reading difficulties. Learning Disabilities Research & Practice, 24, 1–11.
34.
PriceG. R.HollowayI.RäsänenP.VesterinenM.AnsariD. (2007). Impaired parietal magnitude processing in developmental dyscalculia. Current Biology, 17, R1042–R1043.
35.
RäsänenP.SalminenJ.WilsonA. J.AunioP.DehaeneS. (2009). Computer-assisted intervention for children with low numeracy skills. Cognitive Development, 24, 450–472.
36.
RoedigerH. L.KarpickeJ. D. (2006a). The power of testing memory: Basic research and implications for educational practice. Perspectives on Psychological Science, 1, 181–210.
RussellR. L.GinsburgH. P. (1984). Cognitive analysis of children’s mathematics difficulties. Cognition and Instruction, 1, 217–244.
39.
ScanduraJ. M. (1971). A theory of mathematical knowledge: Can rules account for creative behavior?Journal for Research in Mathematics Education, 2, 183–196.
40.
SugaiG.SmithP. (1986). The equal additions method of subtraction taught with a modeling technique. Remedial and Special Education, 7, 40–48.
41.
SwellerJ. (1988). Cognitive load during problem solving: Effects on learning. Cognitive Science, 12, 257–285.
42.
TrochimW. M. (1989). An introduction to concept mapping for planning and evaluation. Evaluation and Program Planning, 12, 1–16.
43.
WeinsteinC. E.MayerR. E. (1986). The teaching of learning strategies. Handbook of Research on Teaching, 3, 315–327.
44.
WilkinsonG. (1993). The Wide Range Achievement Test. Wilmington, DE: Wide Range Inc.
45.
WilsonA. J.RevkinS. K.CohenD.CohenL.DehaeneS. (2006). An open trial assessment of “The Number Race,” an adaptive computer game for remediation of dyscalculia. Behavioral and Brain Functions, 2, 20.
