Researchers, theorists, and practitioners have expressed a renewed interest in the longitudinal dynamics of personality characteristics in adulthood, including organic life span trajectories and their amenability to volitional change. However, this research has apparently not yet expanded to include the Dark Triad (psychopathy, narcissism,…

Theon's ladder is an ancient method for easily approximating "n"th roots of a real number "k." Previous work in this area has focused on modifying Theon's ladder to approximate roots of quadratic polynomials. We extend this work using techniques from linear algebra. We will show that a ladder associated to the quadratic…

A simulation study is a useful tool in examining how validly item response theory (IRT) models can be applied in various settings. Typically, a large number of replications are required to obtain the desired precision. However, many standard software packages in IRT, such as MULTILOG and BILOG, are not well suited for a simulation study requiring…

Validation of data collection instruments is a necessary step in all research and should be regarded as an integral component in every stage of the research process; however, the validation process is often not accounted for in detail in published studies. The purpose of this paper is to describe the development and validation of the Ungspråk…

One of the areas subsumed under the data-based decision making and accountability practice identified in the National Association of School Psychologists' (NASP) "Model for Integrated School Psychological Services" is to collect information on psychological and educational variables to make decisions at a number of levels of service…

The Three-Square Puzzle shows a remarkable relationship between three angles. What happens when the number of squares increases? This article explores that question and brings in Fibonacci and Lucas sequences.

Inside the discipline, mathematical work consists of the interplay between stating and refining conjectures and attempting to prove those conjectures. However, the mathematical practices of conjecturing and proving are traditionally separated in high school geometry classrooms, despite some research showing that students can successfully navigate…

Compared to typical schools, implementation of Positive Behavioral Interventions and Supports (PBIS) remains in its early stages with juvenile justice and alternative education settings, whether residential or day programs. As interest and support grows for implementation within juvenile justice and alternative education settings, the creation of…

Mathematical conjectures and theorems are most often of the form P(x) ? Q(x), meaning ?x,P(x) ? Q(x). The hidden quantifier ?x is crucial in understanding the implication as a statement with a truth value. Here P(x) and Q(x) alone are only predicates, without truth values, since they contain unquantified variables. But standard textbook…

We present a new tool for meta-analysis, "Meta-Essentials," which is free of charge and easy to use. In this paper, we introduce the tool and compare its features to other tools for meta-analysis. We also provide detailed information on the validation of the tool. Although free of charge and simple, "Meta-Essentials"…

Endeavours to assess moral reasoning in education have largely been via established but less contemporary measures, with recent measures developed more than a decade ago. Together with the call to go beyond assessing cognitive constructs, and the intended learning outcomes of the Singapore Ministry of Education Character and Citizenship Education…

When a Year 7 student physically reacted to a prompt of another student by anxiously drumming the desk with his ruler, exclaiming "uuuuhh", the initial thought of the observing researcher, Laura, was: "this is an interesting account". This started a reflective journey of first applying robust research methodologies to the…

Let R be an integral domain with quotient field F, let S be a non-empty subset of R and let n = 2 be an integer. If there exists a rational function ?: S [right arrow] F such that ?(a)[superscript n] = a for all a ? S, then S is finite. As a consequence, if F is an ordered field (for instance,[real numbers]) and S is an open interval in F, no such…

Established in 1992, Ofsted is championed by government ministers as the guardian of educational standards in schools and colleges. Ofsted has never produced any research on the validity of its inspection judgements. Ofsted has no evidence, other than rising percentages of schools being awarded positive Ofsted grades, to support its assertion that…

This short note presents and discusses an interesting area partition result related to a parallelogram. It is, then, shown how proving the result, and understanding why the result is true based on the principle of conservation of the area of triangles with the same base and between the same parallel lines, leads to further generalizations to…