This literature review covers 42 years and has two main objectives: to identify the obstacles to learning the polar coordinate system and to explore the teaching proposals suggested to overcome them. These questions are answered by locating and analysing articles related to the topic published in research and practitioner journals specialising in…

The present educational intervention study focused on addressing some areas of improvement in the teaching and learning of trigonometric ratios in high school students. A diagnostic evaluation was performed that revealed an instrumental understanding of trigonometric concepts by the students. Subsequently, a didactic sequence was implemented that…

This study examined the opportunity to learn function transformations afforded by the GeoGebra applets available on the GeoGebra website. Our analysis focused on the functions and their representations through which function transformations are explored in these GeoGebra applets, the effects and components of transformations that the GeoGebra…

Trigonometry is an area of mathematics that students believe to be particularly difficult and/or abstract compared to other areas of mathematics. It is introduced as the concept in the right-angled triangle from the basic level, but the curriculum of Nepal introduced it from grade nine onwards as a separate chapter. Its content area has a…

GeoGebra, a dynamic mathematics software, was used to study high school students' perceptions and achievements in learning trigonometric ratios. The study addresses a critical gap in the literature concerning the use of GeoGebra for understanding trigonometric concepts, particularly in fostering conceptual clarity and problem-solving skills.…

This paper reports changes in the extent to which a group of Year 11 students used a Computer Algebra System (CAS), pen-and-paper (P&P), or a combination of both, when solving routine problems across seven months in four different topics. Comparing the frequency of CAS use across topics shows students made greater use of CAS in the topics of…

The lack of opportunities for students to practice and master their lessons may result in poor performance in advancing mathematics. This technical action research involved high school STEM students in developing TrigOno, a non-digital card game with popular shedding-type gameplay, to address a problem concerning poor student mastery of…

An original approach using three appropriate Pythagorean triangles is presented for the detailed mathematical analysis of an ideal conical pendulum. The triangles that are used in this analysis relate specifically to the physical dimensions of the conical pendulum, the magnitudes of the forces acting during the conical pendulum motion and a…

Retaining mathematics majors is a pressing concern in many departments. We examined the pass rates of students across our mathematics major and then analyzed student persistence between math courses along with the underlying data collection required to make these analyses. We found that mathematics majors leaving the major after successfully…

Modern calculus textbooks carefully illustrate how to perform integration by trigonometric substitution. Unfortunately, most of these books do not adequately justify this powerful technique of integration. In this article, we present an accessible proof that establishes the validity of integration by trigonometric substitution. The proof offers…

Almost 70% of college students in California are required to take at least one remedial education course in mathematics or English, and of those students, only 40% continue to succeed in their educational goals of transfer or receiving a degree ("Student Success Scorecard," n.d.). Corequisite support remediation is an alternative to…

Errors are a major component of the pedagogical content knowledge (PCK) needed for teaching mathematics. In this study, 25 prospective teachers (PTs) in high schools were invited to solve a trigonometric task that had been assigned to high-school students and, subsequently, to relate to an authentic solution containing mathematical errors, which…

The rapid development in the world of technology and communication has contributed directly to the teaching and learning process in schools. Therefore, a paradigm shift towards learning methods in the education system needs to be implemented to meet the educational aims of the 21st century. This is due to the current methods of delivery in…

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…

Purpose: This study investigated the effect of attitude towards students' performance in Calculus. Methodology: The researchers used the descriptive method of research. Students who have recently finished their Calculus I and II, in the university and prior to the conduct of the survey, was the common parameter used in identifying the respondents.…