In this paper, we present the spontaneous and reasoned approaches by a Physicist (B.C.) and a Mathematician (T.B.). Section 1 is by B.C and section 2 is by T.B.

Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. "Figuring Out Fluency in Mathematics Teaching and Learning" offers educators the inspiration to develop a deeper understanding of procedural fluency, along with…

Over the years, researchers have studied novice programming behaviors when doing assignments and projects to identify struggling students. Much of these efforts focused on using student programming and interaction features to predict student success at a course level. While these methods are effective at early detection of struggling students in…

This toolkit helps design teams engage in this process of implementing the "Design for Equity in Higher Education" model. For each phase of the model, this toolkit provides a short description and offers some questions and suggestions to guide practice. [For the companion report, "Design for Equity in Higher Education," see…

Examining students' inclinations to use algorithms and rules to solve a task was a fruitful area of research in chemical education in the last four decades. This research aimed to examine whether students read the task request carefully, considering its meaningfulness, or they approach it mechanically, applying a set of algorithms by default. The…

Learners have difficulty making sense of and using multiple and diverse texts and applying complex reading strategies to solve problems on the Internet in academic settings. Some research suggests that opportunities for working together may help scaffold learners' learning and develop multilevel comprehension strategies. Despite the potential of…

Bernstein polynomial is one of the most valuable and attractive method used to develop numerical solution for several complex models because of its robustness to demonstrate approximation for anonymous equations. In this paper, Bernstein polynomial is proposed to present effective solution for the 2nd kind linear Volterra integral equations with…

In this paper, we first frame Sprague's vision in the historical context from which it emerged. From there, we explore some contemporary concerns instructional communication researchers must grapple with, and then propose some practical next steps for envisioning instructional communication research as a platform for meaningful contributions…

In this note we introduce an infinite series which represents an interesting challenge for students with the relevant background.

Recent research in science education has largely focused on using ChatGPT to solve problems and evaluating its accuracy and problem-solving features. However, as artificial intelligence (AI) is becoming an important tool for human development, effective strategies for learning and education using human-AI collaboration (HAI) learning remain…

This article presents a meta-analysis of the existing literature using Stata 18.0, focusing on the effects of ITSs on learning attitudes, knowledge acquisition, learner motivation, performance, problem-solving skills, test scores, and educational outcomes across different countries and educational levels (k = 30, g = 0.86). The findings suggest…

This study's purpose was to analyse the relationship between geometric thinking skills with self-regulated learning and with students' basic geometry skills. Furthermore, analyze student errors in solving geometry problems based on their self-regulated learning to determine the optimal geometry learning environment for geometry thinking skills.…

The widespread diffusion of portable tablets and 5G technology heralded a new era of mobile-assisted language learning. Educators and practitioners have shown keen interest in introducing spherical video virtual reality to facilitate pedagogical practices. Although a substantial number of empirical studies have been carried out to observe the…

Recognising the importance of developing creativity in education, the Programme for International Student Assessment (PISA) included an assessment of creative thinking for the first time in its 2022 cycle -- with the results summarised in the PISA 2022 Results (Volume III) report. While that report focused on comparing countries' performance on…

The study creates the development of the Experiential Learning Management Model (ELMM) for early childhood education, rooted in the Reggio Emilia approach. The Reggio Emilia approach, established in the 1960s in northern Italy, emphasizes collaborative learning among children, educators, and parents. This educational philosophy cultivates an…