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…

In this paper, we provide a conceptual framework of the central aspects of mathematical definitions discussed in the mathematics education literature. Based on a systematic literature review, we found that characterizations of definitions in the mathematics education literature can be classified into five main themes: requirements, preferred…

Intra-organizational relationships have become common in higher education. Scholars have offered limited knowledge about the ways in which ancillary organizations pursue and maintain intra-organizational relationships in higher education. Notably, the literature provides no examination of their legitimacy-seeking efforts. Based on data collected…

This paper aims to synthesize measures of assessment literacy in higher education by forging a connection between two research domains: educational assessment and psychometrics. It begins with a systematic review of assessment literacy measures within the context of higher education published within the last ten years. AL measures, including tests…

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,…

The purpose of this mixed methods exploratory study was to design and validate an instrument Satter's Preservice Educators Social Emotional Competencies Inventory (Satter's PSESEC-I). The 5-point Likert instrument allows preservice educators to self-assess and reflect on instrument items on their abilities to use social emotional learning and…

Evaluation of child-friendly school (CFS) policies is essential to determine the achievements of school efforts in reducing violence cases. This research aims to proving the reliability and validity of CFS policy evaluation instruments in elementary schools with different locations. This investigation uses the Context Input Process Product (CIPP)…

Aptitude testing is used to select candidates with the greatest potential for professional interpreter training. Implicit in this practice is the expectation that aptitude test scores predict future performance. As such, the predictive validity of score-based inferences and decisions constitutes an important rationale for aptitude testing.…

Education in Doctor of Medicine programs has moved towards an emphasis on clinical competency, with entrustable professional activities providing a framework of learning objectives and outcomes to be assessed within the clinical environment. While the identification and structured definition of objectives and outcomes have evolved, many methods…

In high school geometry, students are expected to deepen their understanding of geometric shapes and their properties, as well as construct formal mathematical proofs of theorems and geometric relationships. The process of helping students learn to construct a geometric proof can be challenging given the multiple competencies involved (Cirillo…

Purpose: The current literature on school teacher-created summative assessment lacks a clear consensus regarding its definition and key principles. The purpose of this research was therefore to arrive at a cohesive understanding of what constitutes effective summative assessment. Design/methodology/approach: Conducting a systematic literature…

Survey-based research is vital in education and social sciences, offering insights into human behaviors and perceptions. The prevalence of such studies in medical education has risen by 33% over the past decade. Despite this growth, the utility of survey findings depends on the study design quality and measure validity. Many manuscripts are…