Objective: The purpose of this study was to begin developing and validating an instrument to measure self-trust in adults. Method: Using a multi-phased and mixed methods approach to instrument development, the RSTI scores were tested across three samples reflecting national demographics of adults in the United States (n = 157, n = 692, n = 261).…

The article focuses on adaptation and validation of the Academic Motivation Scale questionnaire (AMS-28) in higher education in four Eastern European countries: Czechia, Slovakia, Serbia, and Poland. The research was conducted with a total of 1711 respondents. We examined the construct validity of AMS-28 including measurement invariance and…

A fascinating and catchy method for proving that a number of special lines concur is using the concept of locus. This is now the classical method for proving the concurrency of the internal angle bisectors and perpendicular side bisectors of a triangle. In this paper, we prove the concurrency of the altitudes and the medians by showing that they…

Cognitive diagnostic assessment is known for its capacity to provide detailed feedback to test-takers, which can inform instruction and guide learning. Besides this core strength of the assessment approach, the measurement procedure also works as a construct validation method in itself. Previous studies do not call attention to this aspect of…

This paper is an attempt to develop and validate the Emotional Competence Scale (ECS) in order to assess the emotional competence of upper primary school students. This review was done to find the dimensions that measure emotional competence. The dimensions are classified into two broad categories, such as personal competence and social…

The orthogonality of eigenfunctions in problems of unsteady heat conduction in an infinite slab with symmetric and nonsymmetric convective boundary conditions are demonstrated by performing actual integration of the products of the derived forms of eigenfunctions and by implementing the corresponding eigenvalue conditions. The analysis also…

Background: Adults with intellectual disabilities should participate in the diagnostics of their mental health. The Glasgow Depression Scale for people with a Learning Disability (GDS-LD) and its Carer Supplement (GDS-CS) were translated into German and tested. Methods: Internal consistency, criterion validity and inter-test reliability were…

Purpose: The primary objective of this research paper was to examine the objectivity of the preselected items evaluation (PIE) method, a prevalent translation scoring method deployed by international institutions such as UAntwerpen, UGent and the University of Granada. Design/methodology/approach: This research critically analyzed the scientific…

Using the basic properties of the base-b representation of rational numbers, we will give an elementary proof of Gauss's lemma: "Every real root of a monic polynomial with integer coefficients is either an integer or irrational." The paper offers a new perspective in understanding the meaning of 'irrational numbers' from a deeper…

Two novel proofs show that the sum of a specific pair of normal random variables is not normal are established in this note. This is one of the most often misunderstood facts by first-year students in probability theory and statistics. The first proof is concise using the moment generating function. The second proof checks whether the moments of…

Formative feedback is important in learning. Automating the provision of specific, objective, constructive feedback to large cohorts requires complex algorithms that most teachers do not have time to develop, suggesting that a community effort is needed to create a library of specialised algorithms. We present an exemplar algorithm for a class of…

In this article, we state an interesting geometric conservation property between the three angle bisectors of three similar right triangles and provide a proof without words for its justification. A GeoGebra applet is also presented to help with the understanding of the progression of the proof from inductive to deductive stage.

For a given rational number r, a classical theorem of Niven asserts that if cos(rp) is rational, then cos(rp) [element-of] {0,±1,±1/2}. In this note, we extend Niven's theorem to quadratic irrationalities and present an elementary proof of that.

Global trends in higher education emphasize the development of curricula that offer greater responsiveness to learners. Creating flexible and responsive curricula will require additional support systems for curriculum management. The first step toward sustainably developing this kind of system is to represent essential curricular information in a…

Across the world, teacher quality has come to be recognised as one of the most important variables affecting student outcomes; consequently, the regulation of entry into the profession is the subject of iterative review. The traditional 'one-off' interview, involving an interviewee and two or more interviewers, is a common, but not unproblematic,…