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…

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.,…

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…

Parent training is a critical component of behaviorally based intervention systems, such as applied behavior analysis (ABA). Although the benefits of parent education and training are well-documented, few studies have examined the effects on child learning or identified the effects of parent interventions on different degrees of generalization for…

Different types of reasoning, such as intuitive, inductive, and deductive, are used in the generalization of figural patterns, as an important part of patterns in school mathematics. It is difficult to demarcate the constructive patterns where the regularity observed in the first few sentences is generalizable to the other sentences and each…

This study presents a comparative analysis of classical reliability measures, including Cronbach's alpha, test-retest, and parallel forms reliability, alongside modern psychometric methods such as the Rasch model and Mokken scaling, to evaluate the reliability of C-tests in language proficiency assessment. Utilizing data from 150 participants…

Combining observational and experimental data for causal inference can improve treatment effect estimation. However, many observational data sets cannot be released due to data privacy considerations, so one researcher may not have access to both experimental and observational data. Nonetheless, a small amount of risk of disclosing sensitive…

Researchers agree that both domain-general skills and domain-specific skills contribute to mathematics knowledge, but questions arise as to which skills can and should be trained to improve children's learning outcomes. In this article, we synthesize research on training three domain-general constructs in early childhood (patterning skills,…

Virtual reality (VR) is a promising avenue to enhance the independence and daily living skills of high school students with intellectual disability. This study investigated the efficacy of a non-immersive VR focused on teaching food preparation skills to secondary students with intellectual disability. Three high school students with intellectual…

Purpose: This study compared the occurrence of different types of generalization (within-class, across-class, and total generalization) following motor-phonetic speech therapy and linguistic-phonological speech therapy in children with a cleft palate ± cleft lip (CP ± L). Method: Thirteen children with a CP ± L (M[subscript age] = 7.50 years) who…

Even though there is a great temptation as teachers to share what is known, many are aware of an idea called "rules that expire" (RTE) and have realized the importance of avoiding them. There is evidence that students need to understand mathematical concepts and that merely presenting rules to carry out in a procedural and disconnected…

The generalisation of learning is one of the main elements to take into account when carrying out an educational intervention. This process involves certain difficulties for the population with Autism Spectrum Disorder (ASD). In this sense, the aim of the present study is to evaluate the process of generalisation of skills related to the social…