This paper reports on an exploratory study about probabilistic intuition in learning mathematics for decision-making. The analysis was carried out on a group of high school students in relation to their probabilistic intuition in problem-solving, after performing playful learning activities on a simulation platform specifically designed for this…

The 21st century learning demanded students to master the 4C competencies: critical thinking and problem-solving, communication, collaboration, and creativity and innovation, with problem-solving skills significantly influencing students' cognitive learning outcomes. This study utilized the Flipped Classroom instructional model, assisted by the…

The aim of this study is to explore the possibility of introducing the general notions of function and inverse function through a mathematical activity on linear functions, focusing on the quantitative meaning associated to the connection between a relation and its inverse. We present a genetic decomposition, that is, a viable cognitive path for…

This study aims to describe the cognitive process of autism spectrum disorder (ASD) students in solving mathematical problems in order to provide recommendations towards ensuring an appropriate learning process. It was conducted qualitatively using three ASD students in senior high school in Indonesia with high, moderate, and low intelligence. The…

This article aims to analyze the process of the progressive mathematization of the concept of the function by secondary school students through the resolution of a free fall situation. A free-fall mathematical situation was designed and experimented using the Tracker software to obtain movement data. Worksheets and conversations were collected…

The aim of this study was to develop students' chemical literacy by integrating dilemma stories into a Science, Technology, Engineering, Arts, and Mathematics (STEAM) project on petroleum. Chemical literacy can help students face future challenges by applying what they learn about chemistry subjects at school to solve problems in their daily…

Teaching deeper learning involves cultivating the critical thinking, problem-solving, and collaboration skills that students need to be successful in their college, career, and civic life. It also involves encouraging students to be active participants in their learning. Public schools across the United States often work to help students develop…

This article provides insights into Grade 11 learner understanding of the roots of quadratic equations, how learners used solution strategies to find equations with given roots, how they determine the unknown values and the other root when one root is given and how they determine the unknown values when two roots of the equation are given. The…

The iDrone Online Camp aims to enhance middle and high school students' engagement in STEM fields through hands-on experiences with drone technology. By immersing participants in project-based learning activities, competitions, and discussions on FAA part 107 regulations, the camp seeks to cultivate critical thinking, problem-solving skills, and…

Realistic mathematics education (RME) has proven to be an effective model for mathematics elsewhere. However, students and teachers still grapple to confront the circle equation to learn and teachers to teach. This study explored students' didactical phenomenological discourses in the circle equation as an alternative. The mixed methods research…

In this paper I analyze a problem solving event in a secondary mathematics classroom. As the event unfolds, the teachers, including me, understand the event as involving interactions that were not related to learning. By adopting an expansive view of learning, I advance a different interpretation, that the interactions tell a story of student…

Conjectures are a key component of mathematical inquiry, a process in which the students raise conjectures, refute or dismiss some of them, and formulate additional ones. Taking a design-based research approach, we formulated a design principle for personal feedback in supporting the iterative process of conjecturing. We empirically explored the…

Mathematical modeling is a challenging and creative process. If one considers only interim or final solutions to modeling problems or interviews modelers afterward, often only their "explicit" models are accessible -- those expressed in work products or evinced in verbal and written reflections. The inner world of tacit knowledge and its…

The students' perception of how they are positioned by their teachers offer valuable insights into how teachers might engage students in the act of learning, construct themselves and acts in ways desirable to students, and how they might make the learning process a more enjoyable one for students. Teacher positioning is an important factor in…

Mathematical resilience is a student's ability to survive and be positive when facing difficulties and anxiety in learning mathematics as indicated by the ability to work collaboratively with groups, and have language skills to communicate mathematical understanding. Learning mathematics online caused various negative conditions for students;…