Algebraic thinking is a method of solving math problems that stresses the significance of general connections. Excellent algebraic thinking necessitates strong symbolization and generalization ability. Students aged 7 to 15 are at the Piaget thinking stage's formal operational stage. Teachers, especially those working with secondary school…

In mathematics, the expectation to set up and solve word problems emerges as early as kindergarten; however, many students who experience mathematics difficulty (MD) and dual-language learners often present with specific challenges in this area. To investigate why these populations experience word-problem difficulty, we examined the word, problem…

The development and use of learning trajectories is a body of research that has made enormous contributions to the field of mathematics education, offering insight into the teaching and learning of topics at all levels. Simultaneously, the work of building learning trajectories can benefit from explicitly adopting an anti-deficit stance,…

Innovative techno-blended teaching methodologies are needed for 21st-century classrooms. This paper reports on the introduction of a techno-blended device for mathematics teaching in South African senior secondary classrooms. The research sample included 12 third-year mathematics education student teachers from a rural university. A qualitative…

The number one plays a special role in mathematics because it is the identity element in multiplication and division. The present findings, however, indicate that many middle school students do not demonstrate mathematical flexibility representing one as a fraction. Despite possessing explicit knowledge of fraction forms of one (e.g., 95% of…

The purpose of this study was to analyze the problem-solving techniques that students in a fifth-grade classroom applied while solving mathematical word problems. Fifth-grade students in a private school with Ministry of Education curricula in Al Ain, Abu Dhabi, were given a set of 15-word problems to solve with detailed justifications. The…

Derivative concept is one of the essential studies in calculus, which is studied in teaching mathematics. Prospective mathematics teachers who have completed their studies and later become teachers will teach derivative concepts to their students at school. Therefore, knowledge of derivative concepts is vital in transforming knowledge to students.…

This study investigates the implementation of the learning management model based on cognitive development theory to enhance mathematical problem-solving ability for Prathomsuksa 6 students. The sample group assigned by cluster random sampling was thirty Prathomsuksa 6 students of Chumchon Yot Kaeng Songkhro School. The research instruments…

The purpose of this study is to identify the teaching styles and problems that are faced by teachers in cultivating digital literacy skills for the topic of quadratic equations. This study helps to overcome and refine all shortcomings that occur in the process of instilling digital literacy skills into the topic of quadratic equations. This study…

As teachers are faced with increasing demands to meet the needs of diverse learners, such as the growing number of students with ASD, the need to accommodate each learner and provide opportunities for individualized learning becomes critical. Therefore, the aim of this A-B single-case study was to explore a variety of support strategies (e.g.,…

Purpose: The aim of this paper is to study the use of FIS Response Analysis for Critical Thinking Assessment (FRACTA) method to assess critical thinking in STEM problem solving. The use of FIS (facts, ideas and solutions) chart as a tool to elicit student critical thinking responses and the method of scoring the responses are investigated. Method:…

In this paper, I discuss undergraduate students' engagement in basic Python programming while solving combinatorial problems. Students solved tasks that were designed to involve programming, and they were encouraged to engage in activities of prediction and reflection. I provide data from two paired teaching experiments, and I outline how the task…

Many studies in mathematics education have emphasized the importance of attending to students' interactions, particularly, their mathematical reasoning when collaborating on solving problems. However, the question of how teachers can facilitate students' productive interactions for learning mathematics, is still a challenging one. This case study…

While commercially available mixed-reality (MR) head-mounted devices are also increasingly used in education the impact of MR learning environments is mostly being evaluated with respect to learning outcomes and learning gains alongside a number of affective variables. Here we aim at a deeper understanding of the influence of MR on experimental…

The objective of this qualitative research is to study the mathematical work when solving a mathematical task in the domain of probability presented by Chilean high school mathematics teachers in pre-service and in-service training. We consider as theoretical support the Mathematical Working Space model and methodological design of a collective…