One prohibitory component to graduation rates in college is the lack of student success in college algebra. The current national passing rate of college students enrolled in college algebra is approximately 40 percent. Lack of success in college algebra creating higher enrollments in remediation courses for students has also been linked to…

This "Third Annual Report Card" looks at improvements in the cradle-to-career educational pipeline, the areas where Boston has made modest progress but still has a great deal of work to do, and the places where observers have failed to see the gains that are needed to ensure that Boston is a city of opportunity for all. This report card…

The purpose of the study is to present research focused on validating the four algebra cognitive models in Gierl, Wang, et al., using student response data collected with protocol analysis methods to evaluate the knowledge structures and processing skills used by a sample of SAT test takers.

Virtual Learning Environments (VLEs) are becoming increasingly popular in online education environments and have multiple pedagogical advantages over more traditional approaches to education. VLEs include 3D worlds where students can engage in simulated learning activities such as Second Life. According to Claudia L'Amoreaux at Linden Lab, "at…

This article presents a case study of a two-year pilot to increase pre-collegiate math course success rates at a large community college. The EnableMath pilot involved the use of computerized software that allowed students to practice math problems in a lab during class time. Additional components of the program included the administration of the…

The analysis presented in this article tries to obtain a global view of the field of interactive learning environments (ILE) dedicated to arithmetic and algebra. As preliminaries, a brief overview of evaluation methods focusing on educational software is given and a short description of ten ILEs concerned by the study is provided as a kind of a…

The use of Computer Algebra Systems (CAS) is becoming increasingly important and widespread in mathematics research and teaching. In this paper, I will report on a questionnaire study enquiring about mathematicians' use of CAS in mathematics teaching in three countries; the United States, the United Kingdom, and Hungary. Based on the responses…

In this era of high-stakes testing and accountability, curricula are viewed as catalysts to improve high school students' mathematics performances and a critical question is whether single subject or integrated curricula produce stronger student outcomes. This study was designed to investigate the effects of an integrated reform-based curriculum,…

his is the second volume of a series of textbooks on junior high-school mathematics. Like the first volume, it is organized on the principles that were stated in the preface of Book One. Geometry is the basis of the first part of this course. By actual measurement formulas are developed for finding the areas of triangles, quadrilaterals, and the…

This textbook's main objective is to provide a connecting link between the study of arithmetic and algebra, and to show how to solve problems. It seeks to show practical applications of the theory discussed. While this book was designed originally for the use of those whose educational training had been limited, it has been so remodeled as to…

This textbook is a young mathematician's guide to mathematics. The following five parts are presented: (1) Arithmetick, vulgar, and decimal, with all the useful rules; and a general method of extracting the roots of all single powers; (2) Algebra, or arithmetick in species; wherein the method of raising and resolving equations is rendered easie;…

This paper discusses methods of sketching various types of algebraic functions from an analysis of the portions of the plane where the curve will be found and where it will not be found. The discussion is limited to rational functions. Methods and techniques presented are applicable to the secondary mathematics curriculum from algebra through…

A method is presented for solving the general quartic by using two classical curves: the ellipse and the conchoid of Nichomedes. (MP)