This paper presents research activity in the solution of geometric tasks by mathematics teachers and by mathematics teacher trainees at a College of Education as part of an advanced courses. This activity tested the level of knowledge and ability to apply it in the solution of problems that can be solved in a number of ways: by using various tools…

Making connections between the representations of trigonometric functions and an interpretation of graphs of the functions are major challenges to many students. This study explores the effectiveness of the GeoGebra on grade 12 students' success in making connections between the representations of trigonometric functions and the interpretation of…

In high school, students extend understanding of linear and exponential functions and explore trigonometric functions. This includes using the unit circle to connect trigonometric functions to their geometric foundation, modeling periodic phenomena, and applying (and proving) trigonometric identities. These ideas are fundamental for trigonometric…

Trigonometry is an important part of secondary school mathematics, but it is usually challenging for students to understand and learn. Since trigonometry is learned and used at a university level in many fields, like physics or geodesy, it is important to have an insight into students' trigonometry knowledge before the beginning of the university…

In this paper, we explored the type of mathematical connections Grade 11 learners make when solving two-dimensional (2D) trigonometric problems in an Activity-Based Learning (ABL) environment. We followed a qualitative case study design within an interpretive paradigm. Convenience sampling was used to select a whole class of 45 Grade 11 learners…

Teachers have faced various challenges during the coronavirus pandemic, including lack of skills and knowledge to teach remotely, unstable or no internet access for students in rural areas, and increasing needs to stimulate student motivation. In this article, we introduce the design, development, and implementation of a stand-alone package of…

We created an introductory physics activity for undergraduate students, consisting of measuring the same physical quantity by different methods. This allows us to confront students with questions of uncertainty, precision, and model versus theory. The aim was to measure the height of a building using only a smartphone and everyday low-cost…

Proof ability of prospective teachers on Trigonometry material is still lacking. It can be seen when they carry out trigonometry proof that does not meet the proof indicators to conduct the research. This study aimed at improving proof ability of prospective teachers with a contextual model on Trigonometry materials. The research method used was…

The goal of the paper is to pay attention to some important techniques and approaches including adequate designations as a tool for unambiguous understanding and a key to success in solving problems, vivid visual images as a mnemonic techniques, and special formulas as a universal tool for solving typical problems, when teaching medical students…

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…

STEM major students often enter colleges with a need to strengthen their foundational mathematics, such as trigonometry. We designed an innovative undergraduate course that aims to strengthen students' trigonometry knowledge application through programming mobile apps. We explored how students applied trigonometry concepts in developing their…

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…

During the COVID-19 pandemic, schools in the United States and across the world were forced into rethinking their teaching approaches for the 2020-2021 school year. In the US, the hyflex model was adopted by many schools to serve the needs of both students in person and online simultaneously. Within this new challenge is the ongoing issue of lack…

The gap between skilled workers needed and skilled workers available increased since the start of the fourth industrial revolution. Employees now need different knowledge, skills, and abilities to enter the workforce and stay current with new technologies than they did in the past. One way this knowledge gap and skilled worker shortage could be…

Researchers point out that more educational research is needed to study students' understanding of trigonometric topics. The present research attempts to study a group of three high-achieving eleventh grade students' realization of trigonometric words and narratives associated with the sine function. The learning of the students was video recorded…