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…

In mechanical drawing class, it is a problem that a lecturer has students get a wide range of knowledge and skills in a class whose time and place are limited in a semester. The situation surrounding the classes has led to insufficient understanding of students. Accordingly, it has been desired to reveal an effective learning method in mechanical…

The purpose of this article is to explore students' and teachers' perceptions of affordances, and their actualization while interacting with the e-assessment system Numbas and its effect in terms of formative feedback delivery. The article uses affordance theory and a qualitative research design approach to analyze data using semi-structured…

Background: Engaging students in computer-assisted guided inquiry learning has great potential to scaffold their scientific understanding: Students are expected to improve their scientific problem-solving skills, and at the same time gain a deep conceptual understanding of the subject-matter. Additional generative activities such as creating video…

Background: Even though monitoring and control enactment are key aspects of self-regulated learning (SRL), Adaptive learning technologies (ALTs) may reduce the need for learners to monitor and control their learning. Personalized dashboards are effective in supporting learners' monitoring and can potentially support control behaviour. Allowing…

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…

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.…

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…

Mathematical proficiency is essential to supporting students' success in learning mathematics. It is the ability to use conceptual understanding, procedural fluency, strategic competence, adaptive reasoning, and productive disposition in problem-solving. Cognitive independence shows students' ability to process information. Meanwhile, motivation…

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…

Cognitive style differences, also known as 'empathizing' and 'systemizing' have been argued as one reason that may explain differences in children's motivation to learn science. Researchers claim that people with a 'systemizing' cognitive style are likelier to engage in science than those with an 'empathizing' cognitive style. As such, they…

To unlock language proficiency among learners, speaking is regarded to be an essential and crucial aspect to master, not only for learning purposes but for recognized communication dynamics. Language learning has numerous critical aspects. To be lacking in speaking proficiencies has been noted to impart negatively toward language learning. This…