I provide a visual proof for the "Convergence of a Hyper power sequence," which generalises a beautiful result; also proved visually by Azarpanah in 2004.

The aim of this study was to determine how 5-year-old children identified the functional relationship of correspondence, and whether or not they generalized when working on a task that involved programmable robots. We conducted this study with 15 children (9 girls and 6 boys) in their last year of preschool education. The study was designed around…

A recent paper proposed an alternative weighting scheme when performing matching-adjusted indirect comparisons. This alternative approach follows the conventional one in matching the covariate means across two studies but differs in that it maximizes the effective sample size when doing so. The appendix of this paper showed, assuming there is one…

Arguably, the ability to generalize is an essential characteristic of students who succeed in mathematics and computer science. Teachers should be aware of its presence in their classroom and have tools to encourage its existence. Thus, it is important to examine the successful ways that generalization is taught. This systematic review examined…

Metacognitive awareness is essential in regulating second language (L2) listening and has been predominantly assessed by a multidimensional instrument named the Metacognitive Awareness Listening Questionnaire (MALQ). Since previous studies have yielded inconclusive evidence concerning the generalization of MALQ, it is important to examine the…

How can syntactic and learnability analyses inform each other, and thus deepen our understanding of syntax and its acquisition? This dissertation illuminates this question through three case studies in Korean syntax. I examine cases in which two structures that display distinct syntactic properties share extremely similar surface forms, thus…

There has been a growing interest in developing simulated learners to enhance learning and teaching experiences in educational environments. However, existing works have primarily focused on structured environments relying on meticulously crafted representations of tasks, thereby limiting the learner's ability to generalize skills across tasks. In…

The acquisition of daily living skills (DLS) represents an important component in establishing independence and increasing the quality of life for individuals diagnosed with autism spectrum disorder. Video prompting has become a popular intervention to teach DLS and researchers have used different perspectives when filming the video (e.g.,…

Considerations related to generalization of a study's findings are often interconnected to researchers' judgements regarding the 'quality' of the methodology and methodological pluralism. Too often, researchers consider generalization as only possible with respect to quantitative studies with large numbers of randomly selected participants…

We show that learners generalized more broadly around the learned stimulus when they expected more variability between the learning set and the generalization set, as well as within the generalization set. Experiments 1 and 3 used a predictive learning task and demonstrated border perceptual generalization both when expected variability was…

Popular item response theory (IRT) models are considered complex, mainly due to the inclusion of a random factor variable (latent variable). The random factor variable represents the incidental parameter problem since the number of parameters increases when including data of new persons. Therefore, IRT models require a specific estimation method…

Rating scales are ubiquitous in the social sciences, yet may present practical difficulties when response formats change over time or vary across surveys. To allow researchers to pool rating data across alternative question formats, the article provides a generalization of the ordered logit model that accommodates multiple scale formats in the…

In this article, the authors share their favorite "Construct It!" activity, which focuses on rate of change and functions. The initial approach to instruction was procedural in nature and focused on making use of formulas. Specifically, after modeling how to find the slope of the line given two points and use it to solve for the…

External validity is an important parameter that needs to be considered for decision making in health research, but no widely accepted measurement tool for the assessment of external validity of randomized controlled trials (RCTs) exists. One of the most limiting factors for creating such a tool is probably the substantial heterogeneity and lack…

We describe best practices in reporting reliability estimates in counseling research with consideration to precision, generalization, and diverse populations. We provide a historical context to reporting reliability estimates, the limitations of past practices, and new methods to address reliability generalization. We highlight best practices…