The first day of many mathematics classes is filled with the formalities of the syllabus and a lecture introduction to the course content. Here, an alternative is presented where modeling is placed as the centerpiece to orient students to the work of differential equations; namely, to capture as beautifully and compactly as possible through the…

Should the topic of judgment have a place in the preparation and development of school leaders? This question serves as the focus for an examination of the nature of judgment and obstacles to good judgment. Judgment is defined as the ability to arrive at and make a choice when faced with incomplete information, uncertain conditions, and/or…

The need for methods, techniques and approaches that we can develop high-level thinking skills in important activities increases day by day in order to achieve effective use of technology and change in information and communication technologies. In particular, the diversity, complexity of technical skills and to gain technical skills required to…

In this article, we systematically introduce the just another Gibbs sampler (JAGS) software program to fit common Bayesian cognitive diagnosis models (CDMs) including the deterministic inputs, noisy "and" gate model; the deterministic inputs, noisy "or" gate model; the linear logistic model; the reduced reparameterized unified…

Path analysis was used to evaluate a structural theoretical model of the relations among different pre-university variables, social and academic experiences during the first year of university, and academic success, evaluated through first-year university achievement and permanence in the sophomore year or student retention. The participants in…

One important decision that English language teachers should make is to decide on a pronunciation model. This decision should be based not only on mere preference, but also on technical information. This paper seeks to review the Lingua Franca Core (LFC), a pronunciation model proposed by Jennifer Jenkins (1998, 2000) in an attempt to facilitate…

Acquiring a basic understanding about the composition of crystal structures and the resulting structure-property relationship is central for chemists and material chemists, enabling the prediction of desired properties and the solution of a wide range of current challenges in sciences, e.g., the development of clean-energy storage. For a deeper…

Through a series of explorations, this article will demonstrate how the Kentucky Derby winning times dataset provides various opportunities for introductory and advanced topics, from data processing to model building. Although the final goal may be a prediction interval, the dataset is rich enough for it to appear in several places in an…

All states have some system of music teacher certification, and most, according to the 2018 "Analysis of State Music Education Certification Practices in the United States" from the National Association for Music Education, require broad-based music certification that includes both choral and instrumental music at levels K to 12.…

The purpose of the present study was to apply the methodology developed by Raykov on modeling item-specific variance for the measurement of internal consistency reliability with longitudinal data. Participants were a randomly selected sample of 500 individuals who took on a professional qualifications test in Saudi Arabia over four different…

The university reward structure has traditionally placed greater value on individual research excellence for tenure and promotion, influencing faculty's allocation of time and definition of worthwhile labour. We find gender differences in Canadian natural sciences and engineering faculty's opinions of the traditional criteria for measuring…

A lack of alignment between professional practice and education has triggered the move to alternative educational models, often with detailed scripts and templates to be followed. Among these are variants of problem/case-based models, where learners are challenged to achieve professionally desired learning outcomes and acquire knowledge and skills…

Schools are being confronted with an increasing population of high-functioning students with autism spectrum disorder (HFASD). These students pose particular challenges to school-based practitioners and teachers given their social-communication deficits, restricted and repetitive behaviors/interests, and relative cognitive and language strengths.…

In this reflective conceptual essay, we critically examine two complementary models related to leadership for community engagement--the boundary-spanning model (Weerts & Sandmann, 2010) and the preliminary competency model for CEPs (Dostilio, 2017a). Both models organize and present prioritized activities necessary for individuals to advance…

Mixture item response theory (MixIRT) models combine IRT models with latent class model and assume that there exist latent subpopulations in the data. Identification of latent subpopulations via MixIRT models produces more detailed information. Detailed information about the response processing of examinees provides a better understanding of the…