The purpose of this study was to examine college algebra students' perceptions of self-efficacy relating to method of instruction in a large-lecture seminar and self-paced mastery outcomes course. This study was prompted by a lack of information currently available regarding students' perceptions of specific methods of instruction regarding…

The passage of No Child Left Behind (NCLB) legislation in 2001 brought about a multitude of education reform policies for education institutions that made the future of Career and Technical Education's (CTE) role in secondary educations unclear. These mandates forced educational leaders to emphasize student enrollment in tracks that prepare them…

Research has shown that affordances of computers may be exploited in the design of mathematical tasks so as to provide interesting and challenging activities. At the same time, opportunities for learning mathematics may be constrained if the design of the task is not appropriate. A tool which allows teachers, researchers and task designers to…

This book compiles and synthesizes existing research on teachers' use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on--but not restricted to--those materials developed in the 1990s in response to the NCTM's Principles and Standards for School Mathematics. Despite…

The National Assessment of Educational Progress (NAEP) mathematics assessment measures students' knowledge and skills in mathematics and students' ability to apply their knowledge in problem-solving situations. At each grade, students responded to questions designed to measure what they know and can do across five mathematics content areas: number…

Taking advantage of student's passion in using technology in the form of digital media sets the trend of this study. If this passion can be harnessed, digital media may have an important and powerful role to play in education. A methodology of teaching using digital media in the form of VCD is experimented and tested for possible effect on…

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…

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…