National attention is focused on the persistent high failure rates for students enrolled in math courses, and the search for strategies to change these outcomes is on. This study used a mixed-method research design to assess the effectiveness of a learning community course designed to improve the math performance levels of firstyear students.…

This research examined differences in causal attributions and an exam score in a developmental mathematics course based on student classification: traditional, minimally nontraditional, moderately nontraditional, and highly nontraditional as well as grade and gender among nontraditional students. Statistical analysis revealed significant…

The Rhode Island Department of Education determined that 56% of high school juniors in public schools are not meeting mathematics performance standards. If a student is not proficient in school, then his or her ability and desire to continue education are diminished, raising the chances of drop out. Hispanic students have the highest dropout rate…

Automobile sunshades always fold into an "odd" number of loops. The explanation why involves elementary topology (braid theory and linking number, both explained in detail here with definitions and examples), and an elementary fact from algebra about symmetric group.

Even in the highest-level mathematics courses at undergraduate institutions, most students do not read mathematical research from professional journals. Such depth of content is often reserved for "independent studies" or summer REU's. In this article I describe a course that required students to read research papers, all of which centered on a…

Rayleigh's criterion states that a pair of point sources are barely resolved by an optical instrument when the central maximum of the diffraction pattern due to one source coincides with the first minimum of the pattern of the other source. As derived in standard introductory physics textbooks, the first minimum for a rectangular slit of width "a"…

Following an introduction to the diagonalization of matrices, one of the more difficult topics for students to grasp in linear algebra is the concept of Jordan normal form. In this note, we show how the important notions of diagonalization and Jordan normal form can be introduced and developed through the use of the computer algebra package…

We will prove a well-known theorem in Linear Algebra, that is, for any "m x n" matrix the dimension of row space and column space are the same. The proof is based on the subject of "elementary matrices" and "reduced row-echelon" form of a matrix.

Local influence analysis is an important statistical method for studying the sensitivity of a proposed model to model inputs. One of its important issues is related to the appropriate choice of a perturbation vector. In this paper, we develop a general method to select an appropriate perturbation vector and a second-order local influence measure…

Commencing in 2011, the Mathematics Academies Initiative is a series of professional development academies (lasting 1 to 2 years, depending on cohort) with the primary objectives of (a) providing educators with a high quality professional development experience that enhances their mathematical content knowledge and pedagogical skills, and (b)…

"It's All Connected" provides teachers of mathematics the support they need to improve their instruction. This in-demand collection of lessons for grades 6-8 explores proportionality, proportional relationships, and proportional reasoning, acknowledging that the ability to reason proportionally is crucial in the middle school mathematics…

Due to the increase in students seeking remedial math classes at the community college level, coupled with declining revenues to the community colleges and a lack of classroom availability, the need to consider increasing class size has become a relevant and timely issue. This study is a mixed-method, quasi-experimental study testing effects of…

Algebra is the language that must be mastered for any course that uses math because it is the gateway for entry into any science, technology, engineering, and mathematics (STEM) discipline. "Math Remediation for the College Bound" fosters mastery of critical math and algebraic concepts and skills essential to all of the STEM disciplines and some…

The opportunity to learn for African American and Latino children is extremely limited in a large number of US classrooms. Many societal issues are to blame, but high-stakes testing has exacerbated this problem. The pressure to increase test scores has caused a narrowing of the curriculum, particularly in low-performing schools, most of which are…

The purpose of this study was to explore the success of the Freshmen Academy as it relates to student success. A decrease in discipline referrals, improved attendance, passing the end-of-course exams and promotion to the tenth grade is the quantifiable measures that measure the success of the Freshmen Academy. The Freshmen Academy is designed with…