This keynote address explores the history and role of college math requirements with a focus on ensuring math courses serve to expand students' horizons, rather than serve as gatekeepers. It discusses the advent of general education math courses, which brought more students into math departments, which ultimately contributed to broadening the…

Annually, 40% to 60% of students who graduate high school and enroll in higher education do not exhibit the skills necessary to succeed in college-level work and will need remediation in mathematics or English (Jimenez et al., 2016). Successfully graduating from high school does not guarantee academic preparedness for college. To understand why a…

The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

As it is already observed by mathematicians and educators, there is a discrepancy between the formal techniques of mathematical logic and the informal techniques of mathematics in regards to proof. We examine some of the reasons behind this discrepancy and to what degree it affects doing, teaching and learning mathematics in college. We also…

This paper reports on mathematics remediation efforts at a public 4-year institution. Specifically, it describes redesign efforts that led to the implementation of co-requisite mathematics remediation. Data on this program were collected and analyzed with respect to completion rates, length of time to earn college mathematics credit, and factors…

In light of rising college student debt, many states now offer multiple options for students to earn college credit while still in high school. Concurrent enrollment programs, which allow qualified high school teachers to teach college credit-bearing classes in the high school, are one such option. Because concurrent enrollment classes teach…

This qualitative narrative study examined high achieving college Black STEM students who enrolled in precalculus, calculus I and II, differential equations, linear algebra, and applied linear algebra courses at Rhowlin Bonsu University (RBU). RBU is located in the Midwestern region of the United States. This investigation used a semi-structured…

For millions of students at American colleges, freshman year starts off with an unpleasant surprise: despite graduating high school, students find themselves assigned to remedial classes in math or English, which they must pay for and pass before being allowed into college-level courses. Policymakers looking to increase postsecondary enrollment…

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…

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…

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 placed into developmental courses, which suggests that students might not be academically prepared to take postsecondary coursework. A lack of…

These are the appendixes for the report, "Demographic and Academic Characteristics Associated with College Readiness and Early College Success in the Republic of the Marshall Islands." This study examined academic preparation characteristics and the college readiness and early college success of students who graduated from Republic of…

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 placed into developmental courses, which suggests that students might not be academically prepared to take postsecondary coursework. A lack of…

We describe some classic experiments on the Möbius strip, the projective plane band, and the Klein bottle band. We present our experience with freshmen college students, college teachers, high school students, and Mathematics Education graduate students. These experiments are designed to encourage readers to learn more about the properties of the…

The purpose of this research was to measure the reasoning skills of mathematics students using a test instrument developed from mathematics routine and non-routine task. The study used research and development method. Development of the instrument and measurement of mathematical reasoning skills using procedure: items preparation (modification…