Mathematics has a level of structure that transcends untutored intuition. What is the cognitive representation of abstract mathematical concepts that makes them meaningful? We consider this question in the context of the integers, which extend the natural numbers with zero and negative numbers. Participants made greater and lesser judgments of…

If classification in a limited number of categories is the purpose of testing, computerized adaptive tests (CATs) with algorithms based on sequential statistical testing perform better than estimation-based CATs (e.g., Eggen & Straetmans, 2000). In these computerized classification tests (CCTs), the Sequential Probability Ratio Test (SPRT) (Wald,…

A quantum probability model is introduced and used to explain human probability judgment errors including the conjunction and disjunction fallacies, averaging effects, unpacking effects, and order effects on inference. On the one hand, quantum theory is similar to other categorization and memory models of cognition in that it relies on vector…

The aim of the research presented here is the use of extensions of longitudinal item response theory (IRT) models in the analysis and comparison of group-specific growth in large-scale assessments of educational outcomes. A general discrete latent variable model was used to specify and compare two types of multidimensional item-response-theory…

Information technologies have caused the accumulation and interaction of knowledge to be increasingly reshaped with significant ramifications affecting the processes of acquisition, communication and dissemination of knowledge in almost all societies. In the meantime, assessing the capabilities of the educational system for the successful…

The 6-yr degree-completion rate of undergraduate science, technology, engineering, and mathematics (STEM) majors at U.S. colleges and universities is less than 40%. Persistence among women and underrepresented minorities (URMs), including African-American, Latino/a, Native American, and Pacific Islander students, is even more troubling, as these…

The field of civic education is one that encompasses an abundance of topics and issues. In an attempt to bring some much needed clarity to this field, this conceptual study will question the way different epistemological conceptions of citizenship and education influence the characteristics of civic education. Offering a new conceptual framework…

We report the results of meta-analyses on 3 types of free-response study: (a) ganzfeld (a technique that enhances a communication anomaly referred to as "psi"); (b) nonganzfeld noise reduction using alleged psi-enhancing techniques such as dream psi, meditation, relaxation, or hypnosis; and (c) standard free response (nonganzfeld, no noise…

This paper (1) presents a conceptual framework for analyzing the mathematics addressed in probability lessons and (2) uses the framework to compare the mathematics that two teachers with contrasting teaching approaches addressed in class when teaching the topic of probability. One teaching approach aimed to develop understanding; the other…

Analysing the effects of second language (L2) production on L2 learners' interlanguage (IL) modifications is the main scope of this paper. For this purpose, English L2 learners' output production and IL modifications in performing two different task types, one-way and two-way tasks, are compared. The one-way task used in this study was a story…

This brief describes the impact of the Montgomery County (Maryland) Public Schools (MCPS) 2007-2008 full-day Head Start prekindergarten (pre-K) class model on student academic performance, cognitive skills, and learning behaviors by the end of Grade 2. This is the fourth impact study of the MCPS full-day Head Start pre-K class model. The following…

This study introduces a co-twin control method commonly used in the medical literature but not often within educational research. This method allows for a comparison of twins discordant for an "exposure," approximating alternative outcomes in the counterfactual model. Example analyses use data drawn from the Florida Twin Project on…

Using a participant-observer perspective, this comparative case study sought to identify similarities between business and education to contribute to charter school training, leadership development, and school reform. This inquiry is a qualitative comparative case study using a participant observer perspective presented in a scholarly personal…

This study is aimed at addressing the criticisms that have been leveled at the currently available statistical procedures for analyzing single subject designs (SSD). One of the vexing problems in the analysis of SSD is in the assessment of the effect of intervention. Serial dependence notwithstanding, the linear model approach that has been…

This study distinguished two groups of mothers who have not communicated with their young adolescents about sexual health based on their intentions of having these discussions. We also compared these 2 groups to mothers who have had such communications. Overall, 29% of mothers had engaged in sexual discussions with their adolescent in some detail…