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.

This article presents a visualization tool adapted from rehabilitation exercise therapy as a means for coaches to organize and select activities to progress or regress the skill difficulty to match the needs and abilities of their athletes.

In contexts where people lack prior knowledge and risk awareness--such as the COVID-19 pandemic--even truthful visualizations of data can seem surprising. This can lead people to mistrust the veracity of the data and to discount it, leading to poor risk decisions. In this work, we illustrate how narrative visualizations can achieve a balance…

The leaders of Networks for School Improvement (NSIs) have complex, challenging jobs which require constant learning and adaptation. To support these leaders, the contributors to this volume have developed a survey-based data visualization system--the Improvement Network Health Development (INHD) Information System--designed to generate insight…

3D visualization tools have been developed to assist in the anatomical learning of medical students, but the evidence on the effectiveness of these tools is inconsistent. Conventional 3D materials are often displayed on 2D screens, which can limit their educational impact. This study evaluates the effectiveness of the presentation of 3D learning…

"How do witnesses make identification decisions when viewing a lineup?" Understanding the witness decision-making process is essential for researchers to develop methods that can reduce mistaken identifications and improve lineup practices. Yet, the inclusion of fillers has posed a pivotal challenge to this task because the traditional…

Cognitive maps are mental representations of space essential for guiding spatial behavior. To assess the properties of these cognitive maps, sketch mapping has been widely used as a research tool in spatial cognition research. This scoping review aims to provide a comprehensive overview of the methodologies and the cognitive processes concerning…

The function of proteins is governed by their three-dimensional structure. This structure is determined by the chemical characteristics and atomic interactions of amino acids. Students of biochemistry, with a particular focus on protein chemistry, benefit from looking at protein structures and understanding how proteins are built and fold. Due to…

The COVID-19 pandemic has brought unprecedented challenges to teachers. Teachers need a creative way to continue the engaged teaching process under the constraints of physical separation, emotional anxiety, and insecurity. Technology teachers who develop students' technology literacy or skills should be aware of the importance of integrating…

Background: Visual representations are pervasive in electrical engineering instruction in various instructional settings. Further, electrical engineering instruction often requires students to extend simple visual representations to learn about more complex visualization in subsequent instruction. Yet, students often struggle to understand…

Self-regulated learning is among the most important factors affecting learning outcomes in the digital age. Visualization feedback is widely used to support students' self-regulated learning. However, low motivation often leads to insufficient self-regulated learning engagement. Therefore, based on achievement goal theory, this study developed…

Spatial ability has been demonstrated to be a significant predictor of students' achievement in science, technology, engineering, and mathematics education. While several studies have focused on offering supplementary or isolated spatial training interventions, this study focuses on spatial ability development through embedded interventions within…

This qualitative research study explores the use of a new belief-based visioning tool as a component of co-creating new learning environments. It examines the perceptions of educators from a Midwestern suburban school district working with an architectural firm to design a new middle school. The study was designed as a participatory evaluative…

Background: Understanding algorithms is crucial for programming education, yet their abstract nature often challenges students. Algorithm visualisation (AV) has been proven effective in enhancing algorithmic thinking among university students. However, its efficacy for elementary school students and the optimal forms of AV tools remain unclear.…

The success of online learning relies on college students' self-regulated learning. The common visualizations (e.g., presentation learning behaviors' frequency and duration) are widely used to enhance online self-regulated learning. But most college students still have difficulty in accurately understanding their learning patterns and…