In the quadratic equation, y = ax[superscript 2] + bx + c, the equation y = bx + c is identified as the equation of the line tangent to the parabola at its y-intercept. This is extended to give a convenient method of graphing tangent lines at any point on the graph of a quadratic or a cubic equation. (Contains 5 figures.)

This study is a literature review to investigate the effects of implementing technology into a high school mathematics classroom. Mathematics has a hierarchical structure in learning and it is essential that students get a firm understanding of mathematics early in education. Some students that miss beginning concepts may continue to struggle with…

The "Seventh Annual Report Card" provides the most up-to-date information available on Boston's education pipeline, from kindergarten through college graduation, including measures for school readiness, 3rd-grade reading proficiency, 6th-grade mathematics proficiency, 10th-grade academic proficiency, high school completion, dropout…

Data and information are important components of school improvement. They show how schools are changing and how students are progressing. Providing and interpreting data is one of the critical functions of the Iowa Department of Education. The annual Condition of Education report provides valuable data about students, educators and school…

The need for global competence in mathematics is apparent. Algebra is considered a gateway course to prepare students for the demands of a competitive global market. Many students demonstrate low performance in algebra; this is especially true for students with disabilities. Effective algebra instruction is essential to increase algebra…

The concept of "implementation fidelity" is broadly used to capture the extent to which an intervention is executed as intended by the designers of the intervention (Century, Rudnick, & Freeman, 2010; Huntley, 2005, McNaught, Tarr, & Sears, 2010, Munter, 2010). Though implementation fidelity instruments are often used to assess…

The consequences of failing core academic courses during the first year of high school are dire. More students fail courses in ninth grade than in any other grade, and a disproportionate number of these students subsequently drop out (Herlihy, 2007). As shown in Chicago and elsewhere, academic performance in core courses during the first year of…

The purpose of this case study was to discover and describe the components of a "double-dose" math intervention that resulted in increased mathematics achievement for high school Algebra I intervention participants in an effort to inform local decisions regarding program improvements and to provide insight to other educators…

Place matters in moderating variable relationships between algebra performance and educational variables because there are differences on the socioeconomic (SES) poverty-affluence continuum that shape local contexts. This article examines relationships between variables for school district demographic composition, teaching and financial contexts,…

Discovery learning is one of the instructional strategies sometimes used to teach Algebra I. However, little research is available that includes investigation of the effects of incorporating the graphing calculator technology with discovery learning. This study was initiated to investigate two instructional approaches for teaching slope of a line…

Research studies have yielded inconclusive results about the relationship between teacher training programs and student achievement. With the implementation of end of course exams as a graduation requirement in the state of Florida; continual need to fill teaching positions, rising student enrollment, and legislated class size limits; the level of…

American students test poorly in mathematics compared to those in other developed--and in some cases, less developed--countries. While we have seen some signs of improved performance in recent years, these improvements are not yet evident among high school students. And the proportion of new college graduates who majored in math-intensive subjects…

Using a case study, the complex challenge of making mathematics education research accessible to secondary mathematics teachers was addressed with two questions. How can we design a method that will meet the challenge of making research usable for mathematics teachers? And what would this method be? To address this challenge we describe a process…

In modern CAD and CAM manufacturing companies, engineers design parts for machines and consumable goods. Many of these parts are cut on CNC machines. Whether using a CNC lathe, milling machine, or router, the ideas and designs of engineers must be translated into a machine-readable form called G & M Code that can be used to cut parts to precise…

Research has identified factors associated with academic success by evaluating relations among psychological and academic variables, although few studies have examined theoretical models to understand the complex links. This study used structural equation modeling to investigate whether the relation between test anxiety and final course grades was…