Estimation is an important skill for everyday living. Good estimators usually have a sound knowledge of basic facts, understand place value and use a variety of strategies to make their estimates. This paper describes an activity which is designed to provide students with opportunities to practice their rounding strategies with addition and…

The purpose of this study was to examine the potential effect of false assumptions regarding the motivation of examinees on item calibration and test construction. A simulation study was conducted using data generated by means of several models of examinee item response behaviors (the three-parameter logistic model alone and in combination with…

Laboratory demonstration, as well as biochemistry lecture, has been used to complement explanation of biochemical processes. The laboratory demonstration is very useful in teaching biochemistry to students who lack background in biology. The experimental model of fibrinolysis described here presents a complex biological reaction in simplified…

NCTM Past President Cathy L. Seeley shares her messages on today's most relevant topics and issues in education. Based on Cathy L. Seeley's award-winning NCTM President's Messages, and including dozens of new messages, this must-have K-12 resource offers straight talk and common sense about some of today's most important, thought-provoking issues…

The National Dropout Prevention Center for Students with Disabilities (NDPC-SD) was assigned the task of compiling, analyzing and summarizing the data for Indicator 2--Dropout--from the FY2007 (2007-08 school year) Annual Performance Reports (APRs) and the revised State Performance Plans (SPPs), which were submitted to Office of Special Education…

The National Dropout Prevention Center for Students with Disabilities (NDPC-SD) was assigned the task of compiling, analyzing and summarizing the data for Indicator 1--Graduation--from the 2007- 08 Annual Performance Reports (APRs) and amended State Performance Plans (SPPs), which were submitted by states to the Office of Special Education…

After the No Child Left Behind Act was signed into practice, states were required to implement stringent accountability systems including standards-based reform efforts and annual testing of students. Academic content standards define what students should know for each subject at each grade level and annual state assessments assess students'…

The framework of Tharp and Gallimore (1988) was adapted to form a ZPD (Zone of Proximal Development) Model of Mathematical Proficiency that identifies two interacting kinds of learning activities: instructional conversations that assist understanding and practice that develops fluency. A Class Learning Path was conceptualized as a classroom path…

We investigate how the distribution of AIDS cases in the United States increased homophobia over time. Using pooled GSS surveys, 1973-1998, with state-reported AIDS cases, we estimate models for variation in homophobic attitudes as a function of the time-specific proportion of AIDS cases in a given state. AIDS incidence had a negative impact on…

The present study aims to explore the extent to which computer-assisted teaching facilitates the learning of basic mathematical concepts and skills in children with Down Syndrome (DS). Thus, the effectiveness of a multimedia teaching method is compared with a traditional one in the teaching of counting and cardinality abilities and concepts. In…

This paper puts forth a data envelopment analysis (DEA) approach to estimating higher education institutions' per-student education costs (PSCs) in an effort to redress a number of methodological problems endemic to such estimations, particularly the allocation of shared expenditures between education and other institutional activities. An example…

This study is aimed at the mechanisms used by students with an intellectual disability in the counting process. The assessment of the counting process is carried out through experimental tests inspired by the basic principles of Gelman and Gallistel, namely one-to-one, stable order, cardinality, abstraction and order irrelevance. This is a…

Negative numbers extend our number line and greatly simplify our calculations, but sometimes students struggle with the concepts. These fun activities will help kids to make sense of the "other half" of our number system.

Age-related changes in children's performance on simple division problems (e.g., 6 divided by 2, 72 divided by 9) were investigated by asking children in Grades 4 through 7 to solve 32 simple division problems. Differences in performance were found across grade, with younger children performing more slowly and less accurately than older children.…

Finite mixture models are well known to have poorly behaved likelihood functions featuring singularities and multiple optima. Growth mixture models may suffer from fewer of these problems, potentially benefiting from the structure imposed on the estimated class means and covariances by the specified growth model. As demonstrated here, however,…