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…

Linear algebra is best done with block matrices. As evidence in support of this thesis, we present numerous examples suitable for classroom presentation.

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…

The purpose of the present article is to investigate the definition of matrix multiplication as a central issue in linear algebra courses. Applying both historical and pedagogical approaches, it focuses on the philosophy of generating the usual matrix multiplication, as a special binary operation, with its partly unexpected form compared with the…

Contemporary science education themes are marked by the inevitable uncertainty of consequences emerging from human actions. They encompass disasters, pandemics and other events that have been marking our present times. Understanding new risks as the ones resulting from human action, even when proposing a solution for an issue, is one of the…

Efficient visualizations of computational algorithms are important tools for students, educators, and researchers. In this article, we point out an innovative visualization technique for matrix multiplication. This method differs from the standard, formal approach by using block matrices to make computations more visual. We find this method a…

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…

The instructional barrier matrix can support teachers in identifying student's diverse needs. Combined with Universal Design for Learning, the matrix gives all students access to engaged learning, and the planning process for teachers becomes proactive, time-saving, and effective.

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…