Issues related to designing educational indicators with comparisons among similar places are presented, using examples from indicators of school and district performance used by different states. As an illustration, alternative strategies are applied to calculate indicators of state high school graduation rates. (SLD)

Based on Piaget's theory that children acquire number concepts by constructing them from within, the authors conclude that teaching algorithms harms mathematics learning. A better approach is allowing them to construct their own logico-mathematical knowledge and invent their own efficient procedures. (JOW)

Presents a study in which a group of 25 undergraduate students was given seven whole- or decimal-number estimations and asked to determine the exact answer using a calculator programmed to give incorrect answers. Points out subjects' lack of confidence in their estimation skills as well as a reluctance to question calculator-produced results.…

Describes the basic and exceptional calculation abilities of a calculating prodigy whose performances were investigated in single- and multi-digit number multiplication, numerical comparison, raising of powers, and short-term memory tasks. Shows how his highly efficient long-term memory storage and retrieval processes, knowledge of calculation…

Presents an activity in which attribute blocks help middle school students understand the fundamental counting principle and the multiplication rule. Demonstrates how these materials can aid students in building a conceptual understanding of multiplication and the counting principle. (ASK)

Discusses overall mental computation achievement and limits discussion to strategies middle school students used when computing with whole numbers, decimals, and fractions. Suggests that the development of conceptual knowledge of numbers is an important prerequisite for the understanding of mental computation procedures. (Contains 31 references.)…

Investigates possibilities for and manifestations of collaborative work with pairs of kindergarten students as they worked on tasks designed to promote early number development. Students generated four strategies, and three themes emerged from the analysis of the cooperative solutions. Contains 34 references. (Author/ASK)

Two experiments used phoneme counting tasks to investigate the foundations of phonemic awareness. Found that first graders and college students had some ability to distinguish between monophthongs (as in "he") and diphthongs (as in "how"), and they tended to count fewer "sounds" for syllables ending with the more…

Presents a case study with an at-risk second grade student on counting and numbers. Discusses counting stages that the student went through. (ASK)

Examined effect of maternal support on the development of counting and cardinality in young children at 32, 38, and 44 months of age. At the two earlier times, children were more successful at counting than determining cardinal relationships in both supported and unsupported contexts. Findings suggest that both social and cognitive biases contain…

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)

This simulation study investigated the robustness of structural equation modeling to different degrees of nonnormality under 2 estimation methods, generalized least squares and maximum likelihood, and 4 sample sizes, 100, 250, 500, and 1,000. Each of the slight and severe nonnormality degrees was comprised of pure skewness, pure kurtosis, and both…

This article proposes a new approach to the statistical analysis of pairwisepresent covariance structure data. The estimator is based on maximizing the complete data likelihood function, and the associated test statistic and standard errors are corrected for misspecification using Satorra-Bentler corrections. A Monte Carlo study was conducted to…

This article applies a weighted maximum likelihood (WML) latent trait estimator to the generalized partial credit model (GPCM). The relevant equations required to obtain the WML estimator using the Newton-Raphson algorithm are presented, and a simulation study is described that compared the properties of the WML estimator to those of the maximum…

The Pearson correlation is used to depict effect sizes in the context of item response theory. Amultidimensional Rasch model is used to directly estimate the correlation between latent traits. Monte Carlo simulations were conducted to investigate whether the population correlation could be accurately estimated and whether the bootstrap method…