This study investigates the interplay between student reasoning and instructional strategies in trigonometry education. A qualitative case study was conducted to examine how Grade 10 students employ various reasoning approaches -- deductive, inductive, abductive, analogical, and algorithmic -- when solving trigonometry problems. Each approach…

Background/purpose: This study analyzes the commognition of students with low Working Memory Capacity (WMC) when solving calculus problems, particularly in integral material. Commognition, which merges cognition and communication, is explored through four indicators: keywords (stating knowns and unknowns), visual mediators (graphical…

Online learning offers increased flexibility to students but also poses new complexities. For example, there are challenges in digitizing teaching approaches that rely on the coconstruction of knowledge through social interaction and collaboration between learners. This study explores a novel pseudo-synchronous approach using 360-degree video to…

This classroom experiment investigates the effects of adding representational pictures to multiple-choice and constructed-response test items to understand the role of the response format for the multimedia effect in testing. Participants were 575 fifth- and sixth-graders who answered 28 science test items--seven items in each of four experimental…

The article aims to determine the academic performance and errors in the resolution of types of problems of application of the quadratic function, of high school students from the Los Lagos Region and Los Rios Region in Chile. The approach is qualitative and descriptive with case studies. A math test with open response problems and an opinion…

Purpose: In the Philippines, improving the problem solving competency of students remains a major concern. In order to understand the current situation of problem solving in the country, this study investigated how Filipino mathematics teachers incorporate problem solving into their lessons and how they develop problem solving among students. In…

The authors start from the premise that mathematical understanding and skills are fundamentally important in STEM education as they underpin the three other discplines of STEM. They describe how contextualised integrated STEM projects can bring mathematics into the foreground with digital technologies--such as Kitsi blocks. They outine a project…

Every student must have and develop spatial abilities to be successful in learning geometry. The rapid development of technology also allows teachers to use Macromedia Flash as an alternative in developing and improving students' spatial abilities. This study aimed to determine and describe the improvement of the students' spatial ability after…

Schema-based instruction (SBI) was used to teach nine middle school students with high-incidence disabilities (HID) to solve proportional reasoning word problems. A multiple-baseline-across-groups design was used to determine student understanding of the SBI process. The design consisted of three phases including baseline, SBI process, and…

Although numerous studies have investigated how technology affects academic achievement, very few have focused on the purpose of the use of technology in mathematics education. This current study examines how student teachers (STs) benefit from GeoGebra as one of the Dynamic Geometry Software (DGS) while solving continuity problems. In order to…

The research on deductive reasoning in mathematics education has been predominantly associated with the study of proof; consequently, there is a lack of studies on logical reasoning per se, especially with young children. Analytical reasoning problems are adequate tasks to engage the solver in deductive reasoning, as they require rule checking and…

While the number of studies of flipped classrooms has increased, they have primarily addressed the efficacy of using such an approach on student outcomes, often failing to account for the classroom activities and learning theories used to design the curriculum. This study begins to fill this gap in the literature by uniting the at-home video and…

The emergence of dynamic geometry software influences the teaching and learning of geometry among learners of all ages. Relying on the theory of instrument, this study examined the relationship between preservice mathematics teachers' instrumental genesis and their development of geometric knowledge when solving geometry construction problems with…

The purpose of this study was to describe how to implement the REACT [Relating, Experiencing, Applying, Cooperating and Transferring] strategy to develop students' mathematical representation, reasoning, and disposition ability. This research was a descriptive study with a qualitative approach. The subject of this study was grade 8 junior high…

This study focuses on proportional division, a specific problem type of proportions and proportional relationships, which embeds a part-part-whole relationship. We investigated how students in grades 6 to 9 solved and perceived three proportional division problems. Analysis of the students' performance on the tasks revealed three types of…