The study was a quantitative, causal-comparative, ex post facto study that compared the college algebra and freshman English outcomes for three groups of developmental learners based on where they completed their developmental English and mathematics courses. The study also examined the effectiveness of developmental education courses within the…

College Algebra is a required, core course for many science and mathematics majors in community colleges. The course had the lowest passing rate of any class on campus. The administration expressed a clear intent to improve on this high failure rate and provided funds to accomplish this purpose. To increase the pass rate several different…

This paper discusses a pilot study of the effects of a curriculum focus intervention on students' prealgebra achievement. Elements of the intervention include identification of high-priority learning objective; structured repeatable testing; and a coherent, rubric-based feedback component. This research differs from traditional mastery learning…

Solving true problems requires persistence. The National Council of Teachers of Mathematics (NCTM) states that "problem solving means engaging in a task for which the solution method is not known in advance. In order to find a solution, students must draw on their knowledge, and through this process they will often develop new mathematical…

The goal of this first major report from the Western Reserve Reading Project Math component is to explore the etiology of the relationship among tester-administered measures of mathematics ability, reading ability, and general cognitive ability. Data are available on 314 pairs of monozygotic and same-sex dizygotic twins analyzed across 5 waves of…

Introduction: In this document we stress the importance of developing in children a structure for advanced numerical-algebraic thinking that can provide an element of control when solving mathematical situations. We analyze pupils' conceptions that induce errors in algebra due to a lack of control in connection with their numerical thinking. We…

In this paper we will present the methodology and pedagogy of Elementary Mathematical Modeling as a one-semester course in the liberal arts core. We will focus on the elementary models in finance and business. The main mathematical tools in this course are the difference equations and matrix algebra. We also integrate computer technology and…

The achievement gap is a persistent academic disparity between White and Asian students and ethnic minorities, English Language Learners, and low-income students. The academic disparity exists within the realm of mathematics. Although many factors are cited for contributing to the achievement gap, this study reviews institutional racism, meager…

Although current reform movements have stressed the importance of developing prospective middle school mathematics teachers' subject matter knowledge and understandings, there is a dearth of research studies with regard to prospective middle school teachers' confidence and knowledge with respect to quadratic functions. This study was intended to…

After carrying out a project over several years in eight upper secondary schools in Thuringia on the effects the use of a handheld CAS (Computer Algebra System) has on the students' skills in mathematics, the former ban on the use of such technology in mathematics education was revoked. Late in the project (2002) a survey of all students in the…

Background/Context: Research shows that teachers' understandings of students, subject, and teaching influence their classroom practice. Additionally, teachers' colleagues have a role in shaping individuals' approaches to teaching and their responses to reform. Focus of Study: To understand how interactions with colleagues support teachers'…

We present results from a randomized study of a well-defined use of computers in schools: a popular instructional computer program for pre-algebra and algebra. We assess the program using a test designed to target pre-algebra and algebra skills. Students randomly assigned to computer-aided instruction score 0.17 of a standard deviation higher on…

A cross-curricular structured-probe task-based clinical interview study with 44 pairs of third year high-school mathematics students, most of whom were high achieving, was conducted to investigate their approaches to a variety of algebra problems. This paper presents results from three problems that were posed in symbolic form. Two problems are…

In this paper "Derive" functions are provided for the computation of the Moore-Penrose inverse of a matrix, as well as for solving systems of linear equations by means of the Moore-Penrose inverse. Making it possible to compute the Moore-Penrose inverse easily with one of the most commonly used Computer Algebra Systems--and to have the blueprint…

The transition from arithmetic to algebra in general, and the use of symbolic generalizations in particular, are a major challenge for beginning algebra students. In this article, we describe and analyze students' learning in a "computer intensive environment" designed ad hoc and implemented in two seventh grade classrooms throughout two…