[Slides] presented at the annual conference of the National Council of Supervisors of Math.

An examinee-level (or conditional) reliability is proposed for use in both classical test theory (CTT) and item response theory (IRT). The well-known group-level reliability is shown to be the average of conditional reliabilities of examinees in a group or a population. This relationship is similar to the known relationship between the square of…

The main purpose of this researcher was to examine how well the New York State Mathematics Assessment in Grade 8 predicted success in high school mathematics programs at the Regents and Accelerated levels as measured by the New York State Regents' Math A and B examinations. These exams are statewide and are governed by the New York State…

Few issues in education affect as many families as homework. Its near-universal place in formal schooling leaves few students and parents untouched. Yet the history of homework is characterized by debate about both its effectiveness and legitimacy. Attitudes toward homework move through cycles of enthusiasm and opposition. Homework is popular in…

This study involved an investigation of the effects of strategy instruction integrated with the concrete-representational-abstract teaching sequence on students with learning disabilities. A multiple probe design across subjects with one replication was used in this study. Two sets of data were analyzed to determine effectiveness of the…

The identification of students who are gifted traditionally has been grounded in criteria with an emphasis on unitary measures of intellectual ability. The purpose of this research was to evaluate the performance of elementary school children in a Southeastern state identified as gifted using an assessment process based on MI theory, the Problem…

Including English language learners (ELLs) in large-scale assessments raises questions about the validity of inferences based on their scores. Test accommodations for ELLs are intended to reduce the impact of limited English proficiency on the assessment of the target construct, most often mathematic or science proficiency. This meta-analysis…

The growing prominence of high-stakes exit examinations has made questions about their effects on student outcomes increasingly important. We take advantage of a natural experiment to evaluate the causal effects of failing a high-stakes test on high school completion for the cohort scheduled to graduate from Massachusetts high schools in 2006.…

In this paper we review different methods for teachers to recommend accommodations in large scale tests. Then we present data on the stability of their judgments on variables relevant to this decision-making process. The outcomes from the judgments support the need for a more explicit model. Four general categories are presented: student…

The study of errors made in subtraction is a research subject approached from different theoretical premises that affect different components of the algorithmic process as triggers of their generation. In the following research an attempt has been made to investigate the typology and nature of errors which occur in subtractions and their evolution…

The purpose of this study was to measure the comprehension of basic mathematical skills of students enrolled in statistics classes at a large regional university, and to determine if the scores earned on a basic math skills test are useful in forecasting student performance in these statistics classes, and to determine if students' basic math…

Many colleges and university's use SAT math scores or math placement tests to place students in the appropriate math course. This study compares the use of math placement scores and SAT scores for 188 freshman students. The student's grades and faculty observations were analyzed to determine if the SAT scores and/or college math assessment scores…

The No Child Left Behind Act mandates all students with learning disabilities in schools receiving Title I funds must show proficiency in reading and mathematics by 2014. This stricture applies to all students, those with diagnosed learning disabilities as well as those without learning disabilities. Subjects of this study were eighth graders in…

Reading and Mathematics tests of multiple-choice items for grades Kindergarten through 9 were vertically scaled using the three-parameter logistic model and two different scaling procedures: concurrent and separate by grade groups. Item parameters were estimated using Markov chain Monte Carlo methodology while fixing the grade 4 population…

Recent international studies have highlighted the success of students from Hong Kong in mathematics and problem-solving, and have begun to suggest some of the factors associated with this success. Other studies have suggested that Hong Kong students are averse to risk-taking, favouring memorisation and imitation in their solution strategies. Year…