The Parity Theorem states that any permutation can be written as a product of transpositions, but no permutation can be written as a product of both an even number and an odd number of transpositions. Most proofs of the Parity Theorem take several pages of mathematical formalism to complete. This article presents an alternative but equivalent…

Purpose: The purpose of this study was to validate the 10-item version of the HIV Stigma Scale (HSS-10) in a sample of African Americans with HIV/AIDS. Method: One hundred and ten African Americans living with HIV/AIDS were recruited from 3 case management agencies in Baton Rouge, Louisiana. Measurement structure of the HSS-10 was evaluated using…

The authors addressed the lack of supervision training standards for doctoral counseling graduates by developing and validating an initial list of supervision competencies. They used content analysis, Delphi polling, and content validity methods to generate a list, vetted by 2 different panels of supervision experts, of 33 competencies grouped…

We developed and validated a new instrument, called "Measuring Concept progressions in Acid-Base chemistry" (MCAB) and used it to better understand the progression of undergraduate students' understandings about acid-base chemistry. Items were developed based on an existing learning progression for acid-base chemistry. We used the Rasch…

Ultimately, measures in research, testing, assessment and evaluation are used, or have implications, for ranking, intervention, feedback, decision-making or policy purposes. Explicit recognition of this fact brings the often-ignored and sometimes maligned concept of consequences to the fore. Given that measures have personal and social…

The distinction between facts and moral values is highly desirable: science and politics should keep to their own territories. Traditionally speaking, science can be seen as an ivory tower, which attempts to do its job in isolation of external influences. Politics does not mandate methods of scientific research or standards of justification;…

Assessment rubrics are being promoted and introduced into tertiary teaching practices on the grounds that they are an efficient and reliable tool to evaluate student performance effectively and promote student learning. However, there has been little discussion on the value of using assessment rubrics in higher education. Rather, they are being…

Background: While Western academia has increasingly recognized the importance of studying existential anxiety among adolescents, psychometrically valid and reliable tools for measuring this construct remain unavailable in Chinese societies. Objective: This research investigated the empirical viability of the construct of existential anxiety in…

According to the latest news about declining standards in mathematics learning in Australia, boys, and girls, in particular, need to be more engaged in mathematics learning. Only 30% of mathematics students at university level in Australia are female. Proofs are made up of words and mathematical symbols. One can assume the words would assist…

Given the centrality of argumentation in the Next Generation Science Standards, there is an urgent need for an empirically validated learning progression of this core practice and the development of high-quality assessment items. Here, we introduce a hypothesized three-tiered learning progression for scientific argumentation. The learning…

With growing numbers of Hispanic students enrolling in post-secondary school, there is a need to increase retention and graduation rates. The purpose of this study was to validate the Spanish adaptation of the Abbreviated Math Anxiety Scale (AMAS). The AMAS was translated and administered to 804 freshman students at a post-secondary institution in…

Despite the prevalence and significance of e-learning in education, there is a dearth of published instruments for educational researchers and practitioners that measure users' acceptance of e-learning. To meet this need, Teo (2010) developed the E-learning Acceptance Measure (ElAM). The main objective of this paper is to validate the ElAM (Teo,…

In this paper, we use geometric transformations to find some interesting properties related with geometric loci. In particular, given a triangle or a cyclic quadrilateral, the locus generated by the centroid or by the orthocentre (for triangles) or by the anticentre (for cyclic quadrilaterals) when one vertex moves on the circumcircle of the…

The overall aim of this paper is to provide an epistemological rational for the measurement of intentionality. The purpose of this narrative is to identify "Intentionality" as an arena of action in the dispositional learning domain can be measured using an "Intentionality Measurement Instrument" [also referred by the acronym…

This article presents the psychometric properties of the Expanded School Mental Health Collaboration Instrument [Community Version], a measure for assessing collaboration from the perspective of community-based mental health professionals working in schools. A three-scale instrument (Types of Collaboration, Influences on Collaboration, and…