The purpose of this study was to investigate the ways that teachers use connected classroom technology (CCT) in conjunction with the Texas Instruments Nspire calculator to potentially support achievement on Algebra problems that require translation between representations (i.e., symbolic to graphical). Four Algebra I classrooms that initially…

During the author's eighteen-year tenure as a high school mathematics teacher, there has been one question that she has yet to answer: "Why don't students do homework?" On the basis of research, many factors may lead to a student leaving homework undone. A student may lack the drive to complete work out of school. Or a student may choose…

Algebra has been called the gatekeeper to higher level mathematics, college success, and higher wages, but many community college students struggle to pass college-level mathematics courses. The National Educational Technology Plan for higher education (U.S. Department of Education 2017b) calls for the integration of technology, such as real-time…

The aim of this study was to examine the working processes employed by Ghanaian senior high school students when dealing with tiling pool problem algebraically. The study employed survey design, with a total sample of 304 Senior High School Form 1 students from three Senior High Schools in the Central Region of Ghana. Data were collected through…

The purpose of this study is to determine the effect of the mathematics teaching, which is carried out by mathematics teachers through computer algebra systems, on the achievement of students. A hundred and forty five 10th grade students have taken part in the study as participants. In the research where quantitative research methods were used,…

Although the vast majority of American parents believe their child is performing at or above grade level, in reality two-thirds of U.S. teenagers are ill-prepared for college when they leave high school. Why this enormous disconnect? Could it be that test scores signaling that kids are "less than proficient" don't register with parents…

This study contrasted the standardized test scores of impoverished students who took secondary courses in a virtual setting with those of impoverished students who took secondary courses in a traditional brick-and-mortar setting in a selected school district in Florida. The selected school district is located on Florida's central eastern coast,…

Skills associated with self-determination (e.g., self-regulation, problem solving, goal-setting, planning) are infused throughout all secondary content standards, including career and college readiness standards for which all students are responsible. Given research demonstrating the link between self-determination and positive school and…

In this "Delving Deeper" article, the author introduces the slip-slide method for solving Algebra 1 mathematics problems. This article compares the traditional method approach of trial and error to the slip-slide method of factoring. Tools that used to be taken for granted now make it possible to investigate relationships visually,…

The Common Core State Standards for Mathematics expect students to build on their knowledge of the number system, expressions and equations, and functions throughout school mathematics. For example, students learn that they can add something to both sides of an equation and that doing so will not affect the equivalency; however, squaring both…

For efficiency in a linear algebra course the instructor may wish to avoid the undue arithmetical distractions of rational arithmetic. In this paper we explore how to write fraction-free problems of various types including elimination, matrix inverses, orthogonality, and the (non-normalizing) Gram-Schmidt process.

This paper deals with a brief history of the most remarkable Euler numbers "e,"?"i"?and?"?" in mathematical sciences. Included are many properties of the constants "e,"?"i"?and?"?" and their applications in algebra, geometry, physics, chemistry, ecology, business and industry. Special…

We propose a framework for improving accuracy, fluency, and retention of basic skills essential for solving problems relevant to STEM introductory courses, and implement the framework for the case of basic vector math skills over several semesters in an introductory physics course. Using an iterative development process, the framework begins with…

In that current study, pattern conversion ability of 25 pre-service mathematics teachers (producing figural patterns following number patterns) was investigated. During the study participants were asked to generate figural patterns based on those number patterns. The results of the study indicate that many participants could generate different…

Context is what makes mathematical modeling tasks different from more traditional textbook word problems. Math problems are sometimes stripped of context as they are worked on. For modeling problems, however, context is important for making sense of the mathematics. The task should be brought back to its real-world context as often as possible. In…