We present the evolving fraction conceptions of two elementary school children with mathematics learning disabilities (MLD). We use qualitative analyses to capture the mathematical knowledge and experiences of each child and show how teaching was used to support advancement of their fractional reasoning. Results illustrate two viable pathways of…

This paper explores student emotion and learning experiences fostered by lecturing-style instruction in Real-Analysis problem-centered lessons. We focus on two lessons that were taught by two reputable instructors and involved challenging, mathematically-related problems the students did not understand. Nonetheless, one lesson evoked negative…

Climate change put most species' survival in danger because it substantially affects the climate in which the species live, the quality of the water they drink, as well as the temperature of the air or water. When climate change increases the temperature of the climate, excessive evaporation occurs in lands, lakes, seas, and oceans. Our purpose in…

Since pre-internship medical students appeared inefficient in acquiring fundamental knowledge in large classes, a hybrid instructional method of problem-and-lecture-based learning (PLBL) was designed to leverage the complementary strengths of PBL in reasoning under minimal guidance and LBL in immediate knowledge retention. We improved PBL (IPBL)…

In the trend of innovating university teaching methods in the direction of student-centered learning, this article proposes the application of problem-based learning (PBL) in teaching English communication skills to engineering students at University of Engineering and Technology, Vietnam National University. With a combination of qualitative and…

Nowadays, digital technologies are crucial in supporting students in geometry in secondary mathematics classrooms. However, in some cases, the role of visual function in technology was only utilized for seeing and conjecturing, not for experimenting, while to develop a relational understanding of geometry concepts, students should actively…

To learn mathematics, historically students had no choice but to memorize fundamental facts and apply memorized algorithms. Since 1995 in the US, all states have adopted standards to govern K-12 mathematics instruction, and in most, standards have de-emphasized memorization and emphasized reasoning based on concepts. This change assumed the brain…

Introductory courses in biology often lack sufficient emphasis on quantitative skills and interdisciplinary problem solving, leaving many students unprepared for more advanced biology coursework and hampering their ability to pursue biology research careers. MathBench Biology Modules were created to enhance the quantitative skills of biology…

Mathematical modeling is a process in which students investigate authentic problems and everyday situations using mathematics. In doing so, they bring their multiple mathematical knowledge bases and cultural funds of knowledge into their solution strategies. During a task called "Abuelo's Birthday", 297 students in grades 3-5 decided how…

The United Nations 2030 Agenda for Sustainable Development and the Inner Development Goals argue that addressing the world's challenges in the 21st century requires people to develop diverse skills. On the one hand, anyone, regardless of age and educational level, can develop multifaceted, transdisciplinary, and integrated competencies to address…

We report here on an intervention implementing a structural approach to arithmetic problem-solving in relation to learning outcomes among preschoolers. Using the fundamental principles of the variation theory of learning for developing the intervention and as an analytical framework, we discuss teaching and learning in commensurable terms. The…

Technology and Engineering Education (T&EE) includes "engineering design challenges" to establish a connection to designing and problem-solving indicative of being an Engineer. Engineering design challenges involving bridges (or towers) have been a common feature of the discipline. These bridge design challenges ask students to…

Action Learning (AL) in higher education has been mainly used at the postgraduate level so far. In this article, we contribute to deepening the academic conversation about the adaptation of AL at the undergraduate level. Building upon our own personal experiences as teachers and insider researchers we analyse 53 learning diaries of undergraduate…

This study aimed to describe and compare the students' fluency, flexibility, and originality in solving non-routine problems in the Palembang context. They were depicted from the student's fluency, flexibility, and originality of solving the horizontal and vertical mathematization forms. This qualitative study employed. The subjects of this study…

Although literature emphasizes the value of recursive reflection on problems of practice to facilitate teacher learning and change, few studies investigate teachers' iterative, evolving reflections on problems that emerge in their efforts to change their practice over time. This case study provides an in-depth, longitudinal analysis of one…