In this case study we explored how a mathematician's teaching of the Cauchy-Riemann (CR) equations actualized the virtual aspects of the equations. Using videotaped classroom data, we found that in a three-day period, this mathematician used embodiment to animate and bind formal aspects of the CR equations (including conformality), metaphors,…

The current study examined the efficacy and efficiency of incorporating instructive feedback within matrix training to teach children with autism spectrum disorder (ASD) to label common characters and cities. Experimenters taught one set of responses using a non-overlapping matrix, a second set of responses using an overlapping matrix, and a third…

The purpose of this qualitative meta-analysis (QMA) is to provide a concise and comprehensive picture of findings across qualitative studies to answer this question: What factors contribute to systematically closing the opportunity gap for all students, and particularly for students labelled linguistically and culturally diverse? The ultimate goal…

In order to promote the growth of contemporary music and the reform of music, this article designs an improved collaborative filtering (CF) algorithm to solve the problem of sparse matrix in traditional recommendation algorithms. The data matrix is dimensionally reduced to find the nearest neighbor, so as to realize personalized recommendation of…

Children with autism spectrum disorder often lack fundamental play skills, which can aid development with social, language, and imitation skills (Boutot et al. 2005). The purpose of this study was to extend the previous literature that successfully combined video modeling and matrix training. Matrix training is an efficient way of teaching that…

This article utilizes a framework for classifying different scientific methods suggested by a philosopher of science (Brandon "Synthese," 99, 59-73, 1994) called Brandon's Matrix. It presents findings from teachers who took part in a funded project in England that looked at the nature of scientific methods in science investigations.…

Children with autism spectrum disorder (ASD) have difficulty generalizing from directly trained responses to untrained responses (i.e., emergent responding). In this study, we used a chain prompt combined with matrix training to teach 2 participants with ASD to tact 192 three-digit numerals. We used a multiple-baseline design across matrices to…

This study designed a localized approach to working and writing action research suited for basic education. The researchers used multiphase mixed method research with three analysis stages focused on the identified problem. These stages include identifying the preferred approach in writing action research for basic education, designing a localized…

This research paper presents a digital game-based learning as an innovative methodology that takes full advantage of the educational potential offered by digital games to aid learning of concepts. It focuses on the use of games as a mode of learning in the classroom while exploring all learning theories that supports it. This mode of learning is…

Purpose: Miniature linguistic systems (also known as matrix training) is a method of organizing learning targets to achieve generative learning or recombinative generalization. This systematic review is aimed at determining whether matrix training is effective for individuals with autism spectrum disorder (ASD) in terms of improving recombinative…

Many studies provide insights into students' conceptions of various linear algebra topics and difficulties they face with multiple modes of thinking needed for conceptualization. While it is important to understand students' initial conceptions, students' transfer of learning of these conceptions to subsequent courses can provide additional…

Model analysis provides a mechanism for representing student learning as measured by standard multiple-choice surveys. The model plot contains information regarding both how likely students in a particular class are to choose the correct answer and how likely they are to choose an answer consistent with a well-documented conceptual model.…

Experiencing and experimenting how to teach a foreign language in methodology courses in the undergraduate programs of ELT departments is a complex and confusing task at microteaching level. Trainees utilize their instructional capacity using the collection of techniques they compile for the simulation of this sort. Such a construction and…

The gold standard for identifying more effective pedagogical approaches is to perform an experiment. Unfortunately, frequently a hypothesized alternate way of teaching does not yield an improved effect. Given the expense and logistics of each experiment, and the enormous space of potential ways to improve teaching, it would be highly preferable if…

In Brazil we have identified a predilection of the authors of Mathematical History books for the discussion of the fundamentals of Differential and Integral Calculus. On the other hand, when we consider the teaching of Mathematics in the school context, it is essential to know the teaching of the historical and dynamic evolution of the concepts,…