The purpose of this article is to describe a couple of challenging mathematical problems that involve paper folding. These problem solving tasks can be used to foster geometric and algebraic thinking among students. The context of paper folding makes some of the abstract mathematical ideas involved relatively concrete. When implemented…

We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to…

The primary purpose of this study was to determine the differences in the academic outcomes of first-year academically underprepared TN Promise-eligible college freshmen who participated in a college bridge program. A comparative research design was applied to existing data, including first-semester GPA, first-semester credit completion rate,…

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…

Some research has suggested the use of mancala games in mathematics education. The immediate concepts associated with playing mancala games have been limited to counting as well as addition and subtraction, so the potential of mancala has remained limited to primary school education. This proposed adaptation of a mancala game allows for teaching…

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…

This article illustrates ways that dynamic software using some sophisticated techniques in Excel can be used to demonstrate fundamental ideas related to hypothesis testing to increase student understanding of the concepts and methods in elementary statistics courses. The article considers hypothesis tests for the population mean with large or…

Many states are redesigning their college remediation policies to increase postsecondary degree completion. In 2012, Tennessee began waiving college math remediation for high school students who completed a computer-based remedial math course (SAILS) during their senior year. Using a regression discontinuity design, we find that the high school…

Many students do not have a deep understanding of the integral concept. This article defines what a deep understanding of the integral is in respect to integration involving one independent variable; briefly discusses factors which may inhibit such an understanding; and then describes the design of a mathematical resource for introducing students…

Roots is one of these mathematical topics that students encounter multiple times in their studies of mathematics. Growing from the commognitive framework, this study is concerned with intra-commognitive conflicts where the same discursant develops incommensurable discourses on 'the same' mathematical object (square roots, in this case) and…

This mixed-methods study investigates the real and perceived barriers that African American male Edgecombe County high school students face when considering college enrollment to inform potential interventions to improve college enrollment of this market segment. Phase I of the study design included a survey of current, African American, male…

As remote learning technologies play an increasingly larger role in education, clear evidence of effectiveness is needed for widely used online learning technologies, such as Assessment and LEarning in Knowledge Spaces (ALEKS). By adapting to individual students' knowledge states and personalizing interactive practice and feedback, ALEKS may…

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…