We propose a generalization of the classical Remainder Theorem for polynomials over commutative coefficient rings that allows calculating the remainder without using the long division method. As a consequence we obtain an extension of the classical Factor Theorem that provides a general divisibility criterion for polynomials. The arguments can be…

The present study aims to investigate the effectiveness of Research Based Learning (RBL) in improving students' learning achievement in solving two dimensional arithmetic sequence problems. The study applied triangulation method including qualitative and quantitative methods. The research subjects were 4th-semester students of higher education.…

The purpose of this study is describing the implementation of project-based learning model and analysing the student's creativity improvement in the subject of learning media. We describe the implementation of project-based learning based on our note of the learning syntax during one semester. Then, compared the students' product to measure their…

Researchers have documented the importance of seeing a graph as an emergent trace of how two quantities' values vary simultaneously in order to reason about the graph in terms of quantitative relationships. If a student does not see a graph as a representation of how quantities change together then the student is limited to reasoning about…

In the Republic of the Marshall Islands, college readiness and early college success are major concerns. More than 75 percent of a recent cohort of incoming students at the College of the Marshall Islands did not place into credit-bearing math and English courses, which suggests that students might not be academically prepared to take…

Objective: In 2014, Florida implemented Senate Bill 1720 (SB 1720), which drastically reshaped developmental education practices across the 28 public state colleges. Under the reform, around two-thirds of students became exempt from developmental education. Yet, many students were still required to take the placement test. If they scored below…

This mixed research aims to analysis and design the Web Game On Descriptive Statistics (WGODS) through the ADDIE model, data science and machine learning. The sample consists of 61 students from a university in Mexico. WGODS is a technological tool (quiz game) that presents various questions and answers about statistics (quantitative and…

This paper presents the results of research about innovative actions that use Virtual Environments to improve the teaching and learning of Mathematics in Higher Education and the participants were higher education students of Mathematics. The project was carried out in three stages. During the first stage, we assessed theoretical assumptions about…

In collegiate mathematics, college algebra continues to be a barrier to graduation for students (specifically non-science, mathematics, engineering, and science majors). Each year, nearly half of enrolled students struggle to "pass" this course with a grade of C or better (Herriott, 2006). Using innovative constructed lessons geared…

This study uses "Critical Race Theory," "Settler Colonialism," and "Critical Whiteness Studies" to frame how property is recognized only under the auspices of whiteness. In the college algebra classroom, this is born out through white entitlement, racialized senses of sharing, and resource allocation. This study uses…

The Mathematics students who perform truth-seeking process upon solving mathematical problems were unique. Therefore, the study deems it necessary to know students' mental structure and mechanism so that they can make the right decision by performing truth-seeking. However, no research has delved into the mental structures and mechanisms of…

The mathematics studies at university develop the cognitive abilities of the person, influence studies of special subjects as well as contribute to the development of professional competence. Nevertheless, several studies have been carried out to show that the quality of mathematical studies is decreasing and students' preparation and knowledge…

This study investigates one Calculus student's meanings for quantifiers in Calculus statements involving multiple quantifiers. The student was asked in a two-hour long clinical interview to evaluate and interpret the Intermediate Value Theorem (IVT) and three other statements whose logical structure was similar to the IVT except for the order of…

Students' expectancy-value beliefs play an important role in shaping their educational choices and behaviors. Drawing on Eccles and Wigfield 's (2020) situated expectancy-value theory, we investigated short-term changes in students' expectancy-value beliefs in gateway math courses for beginning university students. In Study 1a, we collected data…

The abrupt migration of educational institutions into a more flexible mode of learning due to the COVID-19 pandemic has undoubtedly resulted in students' difficulties. Such difficulties specific to mathematics flexible learning are generalized in this quantitative study. Using Principal Component Analysis, seven (7) factors were identified as the…