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…

Project-based learning (PJBL) emerges as an instructional teaching method promoting collaboration, critical thinking, and problem-solving skills among students. This pedagogical approach facilitates active engagement by forming student groups to collaboratively create and develop projects, thus, encouraging the exploration of diverse perspectives…

In the 21st Century, it has become more difficult for teachers to attract students to the curriculum due to many factors that entertain students. Hence, teachers need to think about teaching methods that indirectly motivate students to learn. Moreover, this need is more felt in mathematics because it requires the constant creation of new cognitive…

Helping students to stay motivated by creating an environment that makes them interact is essential to attaining academic achievement. This action research utilizing mixed methods approach explores the flipped classroom's impact on the students' achievement motivation. Also, a significant focus has been on how students interacted with their…

Motivation to learn mathematics decreased due to the inability of teachers to implement innovative learning models and techniques. Therefore, this study aimed to investigate the effects of teachers' ability on students' motivation to learn mathematics by using quantitative methods and survey approaches. There were 32 mathematics teachers and 542…

Monotonous mathematics learning focusing on textbooks only will make students bored and feel that studying mathematics is useless. Using attractive and meaningful approaches, like STEAM and Quranic approaches, is strongly motivated by the need to avoid tedious drilling for students in learning mathematics. This study aims to assess students'…

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…

Students need critical thinking skills to develop their ideas in mathematics learning situations at school, and they can apply mathematical concepts in solving contextual problems. Junior high school students have unique characteristics and are highly curious about new knowledge. Therefore, it is crucial to apply the learning models that support…

The use of digital technologies as a support to the learning process may contribute to a more dynamic and participatory way of developing knowledge. Transmedia narratives assume characteristics congruent with this by facilitating the incorporation of educational methodologies that foster learning skills in interaction with digital devices during…

This article describes a 'research project' at a girls school where teachers wanted to improve their students' engagement and interest in mathematics. Conversations with the students indicated they thought mathematics was difficult but also repetitive and boring, with lessons that had little variety of tasks. While some students like to learn…

This paper presents a praxeological analysis, based on ATD (Anthropological Theory of the Didactic), of the topic of Fourier series, as this topic is introduced and used in mathematics and in electrical engineering, more precisely in signal theory. The analysis is based mainly on one widely used textbook in mathematics for engineers, and a…

Despite working towards a common vision for teacher preparation, newer teachers experience successes and challenges in their teaching. This study investigated the experiences of three third year teachers to identify what they found successful or challenging in their teaching. Findings indicated that successes or challenges were contextually…

This study investigates whether using My Math Academy, which provides personalized content and adaptive embedded assessments to support existing curricula, can improve learning outcomes and engagement for kindergarten and first grade students (N = 505 treatment, 481 control). Findings indicate that students using My Math Academy made significant…

A growing literature points to the importance of classroom social climate as one of the determinants of students' academic performance and motivation, engagement, participation, and attitude towards school and teaching. However, little attention is given to social climate in the context of the mathematics classroom as a learning environment, with…