This article offers guidelines for using timed drills to achieve computational fluency in elementary students. It considers the acquisition and practice stages of learning, setting fluency aims and objectives, measuring fluency, research supporting time trials, how to do time trials, and 11 specific guidelines for conducting time trials. (DB)

Presented is a calculation for the probability of a athletic event. Assumptions, computations, and questions to be considered in the solution of this problem are discussed. (CW)

Design details, operation, and initial field test results are reported for DynaMath, a computer-based dynamic assessment system that provides individually tailored, instructionally useful assessment of students with disabilities. DynaMath organizes and outputs student performance data, graphically shows the "zone of proximal…

Assessment of 121 nondisabled elementary boys and 107 boys with attention-deficit hyperactivity disorder (ADHD), ages 7 through 14 years, found significantly lower problem-solving scores in specific math concepts and slower computational performance for the boys with ADHD when reading and problem structure were held constant. Instructional…

Twenty children with left or right hemisphere dysfunction and 10 controls were administered a comprehensive neuropsychological evaluation. Results provide limited support for the hypothesis that the right hemisphere subserves attention and concentration but not for the hypothesis that right-hemisphere deficits are more frequently associated with…

Magnitude comparison, calculation verification, and short-term memory span experiments were conducted as a means of investigating number processing in 17 deaf college students with academic weaknesses. Deaf students' level of accuracy did not differ from that shown by their hearing peers; however, mean response times of deaf students were greater…

Reviews research concerning problems in children's understanding of place value in multidigit numbers. Discusses four elements essential to programs focusing on place value: counting, partitioning, grouping, and understanding number relationships. Proposes a framework and an educational program for nurturing and assessing children's understanding…

Fifth-grade students (n=101) were studied to determine the effect of instruction on (1) the development of computational estimation strategies; (2) types of estimation errors made; and (3) estimation skills. Results indicate students adopt the estimation strategies taught and that introducing mathematical concepts through estimation increases…

Uses chaos theory to investigate the nonlinear phenomenon of population growth fluctuation. Illustrates the use of computers and computer programs to make calculations in a nonlinear difference equation system. (MDH)

KeyMath Revised was devised as a power test for use with students from kindergarten through grade 9. The test is divided into three dimensions: basic concepts, operations, and applications. This paper describes the test's administration, summation of data, standardization, reliability, and validity. (JDD)

Included are several general principles pertaining to the uses, applications, and accuracy of significant digits when mathematical computations are performed with calculators. Examples are provided that illustrate how misunderstandings can arise from the misapplication of these principles. (JJK)

Cardinality responses are affected by both the direction and nature of the elements in the counting sequence. Error analysis suggests six stages in the acquisition of cardinality. Although there appears to be a developmental dependency between counting and cardinality, this relationship is not significant in all cases. (RH)

Described is an approach to the derivation of numerical integration formulas. Students develop their own formulas using polynomial interpolation and determine error estimates. The Newton-Cotes formulas and error analysis are reviewed. (KR)

A primary math activity teaches students counting and classifying using a book about a mother and child who tour a farm at midnight. An intermediate math activity teaches logical reasoning through a story problem in which students must use information from a story to figure out an answer. (SM)

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…