In the first part, we investigate Birman, Ko, and Lee's left canonical form of a braid and give a new diagrammatic approach. We use the left canonical form to characterize almost strongly quasipositive braids. In the second part, we investigate students' confidence in mathematics and problem solving skills. Every math instructor has heard students…

This paper illustrates the design-based learning (DBL) approach to promoting the deep learning of students and improving the quality of teaching in engineering design education. We performed three aspects of research with students in a typical educational activity. The first study investigated students' deep learning before and after the DBL…

Many students want to enroll in programming courses but fear the challenges ahead. They aspire to design quality systems or games after acquiring related skills but report concerns that programming logic is too difficult to learn because memorization of the syntax is required. Thus, they experience anxiety, are demotivated to learn, and,…

With the growing attention directed towards ChatGPT and its applications in education, this study explored its impact on various variables pertaining to student learning. Specifically, an integrated theoretical framework was used to investigate the factors that influence student problem-solving and critical thinking abilities when using ChatGPT…

This is the protocol for a Campbell systematic review. The objectives are as follows: The purpose of this review is to synthesize the evidence about the efficacy of problem solving before instruction (PS-I) to promote learning and motivation in students. Specifically, this review is designed to answer the following questions: To what degree does…

ChatGPT, as an example of generative artificial intelligence, possesses high-level conversational and problem-solving capabilities supported by powerful computational models and big data. However, the powerful performance of ChatGPT might enhance learner dependency. Although it has not yet been confirmed, many teachers and scholars are also…

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 article is motivated by the importance of developing statistically literate students. The authors present a selection of problems that could be used to motivate student interest in probability as well as providing additional depth to the curriculum when used alongside traditional resources. The solutions presented utilise natural frequencies…

Learning with understanding is essential to enabling students to solve problems that they will inevitably face in the future. Students will be more successful, if they are engaged in thought-provoking activities that encourage them to grow in their mathematical understanding and identity. With this study we intended to understand how the…

Traditional teaching methods often limit interactive learning, negatively impacting students' motivation and learning achievement. Moreover, fostering collaborative awareness and problem-solving skills is crucial for developing the core competencies of future nursing professionals. To address these challenges, this study proposed an escape…

This article aims to provide a systematic review of existing research on the use of digital game-based learning (DGBL) technology for foreign language (English) in preschool and elementary schools. Digital game-based technology enables learning to become more interactive and inspirational, thereby enhancing language acquisition. The authors…

Purpose: The research applies a multidisciplinary perspective to create knowledge and insight about the opportunities that digital game design principles offer to physical education (PE) pedagogy. Methods: Data were initially collected through an appreciative inquiry (AI). AI offers an alternative research perspective to critical theory that has…

The evolution of artificial intelligence (AI) and robotics in education has transitioned from automation toward emotionally responsive learning systems through artificial emotional intelligence (AEI). While AI-driven robotics has enhanced instructional automation, AEI introduces an affective dimension by recognizing and responding to human…

Originally developed in the field of design, design thinking is widely used as a pedagogical tool to help non-designer students cultivate creative thinking and problem-solving skills. Despite its positive effects on student learning via increased motivation, openness to new ideas, and creative thinking, the understanding of design thinking is…

This paper explores how learning analytics data provided by a math problem-solving educational technology platform informed 5th and 6th grade teachers' instructional decisions around socioemotional learning (SEL). MathSpring is an educational technology tool that provides teachers with data on students' effort, progress, and emotions while…