What is the nature of the association between age (7-11 years) and performance on mathematical equivalence problems (e.g., 7 + 4 + 5 + 7 + _)? Many prevailing theories suggest that there should be a positive association. However, change-resistance accounts (e.g., N. M. McNeil & M. W. Alibali, 2005b) predict a U-shaped association. The purpose of…

This study examined the arithmetic computation performance of 229 normally achieving students (ages 9 to 14) and 101 students with learning disabilities. Results found that the students with learning disabilities performed at lower levels and that their progress from one age to another was extremely limited. (Author/CR)

In order to describe developments in children's conceptions of numbers and numerical relations, judgments of similarities between numbers were solicited from adults and from children in kindergarten and grades 3 and 6. A nonmetric multidimensional scaling analysis suggested that children gradually become sensitive to an expanding set of numerical…

A five-year follow-up of arithmetic calculation abilities of 10 low-income fourth graders with specific language impairment (SLI) involved comparisons with typically developing same age peers and with typically developing younger subjects. Results support evidence that children with SLI have difficulty with rote memory and document the…

Explores developmental (age) differences in meaning that children at four grade levels assign to count and relational quantifiers. Results indicated 92 percent of the children demonstrated understanding of all count quantifiers. For relational quantifiers, mean numerical values assigned to four terms followed expected patterns; understanding of…

Interviewed 59 2nd- and 44 3rd-year elementary school students concerning their solutions to arithmetic problems commensurate with their age and ability. The results indicate that as children progress through school, they continue to use counting as an important part of their problem-solving repertoire, combining counting skills in idiosyncratic…

Assessed the arithmetical competencies of 105 American and 104 Chinese elementary school students at the beginning and end of the U.S. school year. Results suggest the Chinese advantage in early mathematical development is related to a combination of language- and school-related factors. (MDM)

Examined the mathematical beliefs and achievement of 62 elementary school students from a school at which teachers were participating in a project to improve mathematics teaching. Found that students who enjoyed mathematics were also confident of their math abilities and that there was little correlation between parental support and student…

Among 1,453 male and 1,133 female academically talented 7- to 11-year-old students, boys performed better overall than girls on mathematical reasoning. Gender differences appeared as early as second grade, varying according to mathematics subskills. Male performance was better on tasks requiring application of algebraic rules and understanding of…

This study was designed to determine whether chronological age, the number of permanent teeth erupted, or the combination of the two would predict a child's readiness for formal arithmetic work. Sixty-four children were randomly chosen and three phases of testing conducted. The findings did not support the use of the number of teeth erupted as a…

Detection of calculation errors, operation errors, and unanswerable problems was studied for 78 third graders and 77 fifth graders. The relationship between mathematics achievement and error detection was also examined. Older children and high achievers detected more errors than did younger students and low achievers. (SLD)