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…

The present study focuses on creating a more pleasurable learning experience for students learning maths. Participants completed two lists of maths problems, a short list of only difficult maths problems and an extended list with both difficult maths problems and moderately difficult maths problems, placed in the beginning, end, or both beginning…

The goal of the present study is to investigate the impact of procedural and conceptual teaching on students' mathematical performance over time. For this purpose, implicit differentiation and integration by parts were taught in two different ways to first-year university students of two different calculus courses: one course with Conceptual…

In this article, we report the findings of a study conducted with 6 Grade 8 students in the United States. The students posed stories for open number sentences involving addition and subtraction of integers. We analysed the stories posed by the students to build models that describe the conceptual structures behind these posed stories -- the…

Mathematics education highlights the importance of helping students understand mathematical content and the ability to think critically about mathematics. Mathematical practice standards outline expectations for engaging students in meaningful mathematics activities to encourage a deep understanding of mathematical concepts and content. For some…

Problem-solving is of importance in the teaching and learning of mathematics. Nevertheless, a baseline investigation conducted in 2016 revealed that mathematical problem-solving is virtually missing in South African classrooms. In this regard, a two-cycle design-based research project was conducted to develop a professional development (PD)…