Investigates different approaches of students from different cultures to problems and problem-solving strategies. Suggests ways to encourage students to use algebraic strategies. Provides some action research ideas for teachers to try in their classrooms. Contains 11 references. (ASK)

Lists questions and answers for mathematical investigations that teachers should ask when they consider using alternative approaches to teach new content. Presents an example of a mathematical investigation on concepts of area, symmetry, pattern, function, algebraic rules, and Pythagorean theorem. Argues that investigations offer opportunities for…

This article describes a collaboration between a university professor and a sixth-grade teacher who teamed to introduce algebra using a visual approach. The project began with a study of qualitative graphs, moved on to quantitative graphs, then introduced tables of values and finally concentrated on equations. (Contains 12 figures.)

The article describes a unit for seventh-grade students, using children's literature to teach visual, auditory, and algebraic patterns. (Contains 7 figures.)

This article describes a set of learning activities that use algebraic problems and written student work to help preservice and in-service teachers understand students' algebraic thinking. (Contains 4 figures.)

Two hundred and thirty-one students in six Grade 9 classes in two government secondary schools located near Chiang Mai, Thailand, attempted to solve the same 18 quadratic equations before and after participating in 11 lessons on quadratic equations. Data from the students' written responses to the equations, together with data in the form of…

Gateway tests provide a means of assuring that students in reformed precalculus and calculus courses acquire the algebraic and computational skills needed in courses following these, while allowing the focus of the course to be on the conceptual understanding intrinsic to the reformed courses. However, logistical difficulties plague the…

Most research in the area of Computer Algebra Systems (CAS) has been designed to compare the effectiveness of instructional technology to traditional lecture-based formats. While results are promising, research also indicates evidence of the steep learning curve imposed by the technology. Yet no studies have been conducted to investigate this…

The present study examined characteristics of students who took advantage of the opportunity to learn Algebra II from a highly skilled teacher. In particular, student information was gathered concerning: (a) the amount of mathematics students knew prior to the class, (b) their motivation for learning mathematics, (c) the number and types of…

The authors examined how undergraduate students negotiated roles and developed a shared understanding of mathematics while working together on computer-based modules. The subjects were videotaped while working on these modules and their computer output was simultaneously collected on a separate videotape. Examination of the data tentatively…

The quality of knowledge underlying students' algebraic thinking is a major concern of K-12 mathematics teaching and reform-driven curriculum documents. In this paper the author examines this issue by characterizing a group of high school students' algebraic knowledge and patterns of use of that knowledge during the solution of selected problems.…

This study deals with the demand of a task. A theoretical background shows the difficulty of applying the idea of demand (as established in the literature) to the data. This has been confirmed in the preliminary study of this paper, which deals with the analysis of university examinations. Some factors that affect the demand of a task have been…

The purpose of this study was to compare the effectiveness of two teaching strategies, namely, technology-assisted and traditional methods of teaching in undergraduate algebra classes. Fifty-eight second-year mathematics education undergraduate students in an algebra class were randomly divided in equal numbers into two groups. One group was…

"Education Matters" is the monthly newsletter of the Association of American Educators (AAE), an organization dedicated to advancing the American teaching profession through personal growth, professional development, teacher advocacy and protection. This issue of the newsletter includes: (1) Leading Students to New Heights: Dr. Bill…

"University of Chicago School Mathematics Project (UCSMP) Algebra," designed to increase students' skills in algebra, is appropriate for students in grades 7-10, depending on the students' incoming knowledge. This one-year course highlights applications, uses statistics and geometry to develop the algebra of linear equations and…