The purpose of this paper is to report a part of a calculus research project, about the performance of a group of pre-service mathematics teachers on two tasks on limit and differentiation of the trigonometric sine function in which the unit of angle measurement was in degrees. Most of the pre-service teachers were not cognizant of the unit of angle measurement in the typical differentiation formula, and a number of participants recognized the condition on the unit of angle measurement but did not translate this to the correct procedure for performing differentiation. The result also shows that most of the participants were not able to associate the derivative formula with the process of deriving it from the first principle. Consequently, they did not associate it with finding  . In the process of evaluating this limit, the pre-service teachers exhibited further misconceptions about division of a number by zero.

The purpose of this study was to evaluate synchronous and asynchronous mathematics teaching modalities at Isabela State University. The qualitative research method was used to collect information, opinions, and experiences of Isabela State University mathematics faculty in employing synchronous and asynchronous modes in teaching mathematical courses in terms of strengths, weaknesses, possibilities, and problems. The study's subjects were 15 Mathematics Instructors chosen at random from Isabela State University's nine campuses. A structured interview was created and distributed to participants using Google Form. The limitations on face-to-face encounters prompted the use of such data-gathering technique. The researcher followed up with another video call interview to validate the participants' responses. The data was transcribed and processed using thematic analysis. The findings demonstrated that the synchronous and asynchronous learning modalities both have strengths and disadvantages that influence the quality of the teaching-learning process throughout the epidemic. Given this, distant learning is thought to be more effective when both modalities are used rather to just one of the aforementioned. This is because the strengths of one of the two modalities can solve the flaws highlighted in the other. As a result, mathematics instructors may receive more in-depth training in both asynchronous and synchronous teaching approaches, as well as strategies for becoming more successful teachers during the present school closures.

Introduction: This study explores the effectiveness of differentiated assessment as a strategy to support diverse learners in multi-level K–12 classrooms in Manitoba, Canada. Literature Review: Articles published from 2005 onward were sourced from ProQuest, ERIC, Google Scholar, ResearchGate, and Taylor & Francis databases. Methodology: A qualitative document review was employed by analyzing peer-reviewed articles. The review investigates how differentiated assessment practices, such as varied formats, flexible timing, assistive technologies, and constructive feedback, enable educators to identify students’ strengths, interests, and learning needs. Insights inform the adaptation of instructional plans to accommodate diverse learning styles and promote academic equity. Findings and conclusions reveal that while differentiated assessment fosters inclusivity and meaningful evaluation, implementation is hindered by challenges, including limited resources, insufficient teacher training, time constraints, and resistance to change. The findings contribute to ongoing discourse on equitable assessment practices and offer practical implications for enhancing student success in diverse educational settings. Recommendations: The study recommends targeted professional development, increased teacher autonomy, and collaborative efforts among educators and administrators to address these barriers.