Presents sample lab activities in algebra for representing functions in concrete, tabular, graphic, algebraic, and word format. Activities described actively involve students in hands-on models. Problem-solving techniques and technology help to form algebraic-thinking skills. (AIM)

Assessment of general reasoning processes, elementary algebraic understanding, and novel problem solving of (n=147) seventh- and eighth-grade students found that abilities to generalize from patterns and tables of data and understanding variable constructs contributed significantly to application of algebraic concepts and processes. Questions…

Reflects on activities designed for computer-enhanced in-service training of high school mathematics teachers. Uses a computer-based graphing calculator, a dynamic geometry program, and a spreadsheet program to explore linear algebraic equations that bridge finite and infinite mathematics structures. (ASK)

Presents results of study conducted with community college intermediate algebra students. Reports that students taught with Reform-Computer Assisted Instruction (R-CAI) significantly outperformed on the conceptual measure than students taught with Lecture-based Instruction (LBI). Adds that students in the R-CAI environment experienced significant…

We address the telling/not-telling dilemma in mathematics education. Telling is instructionally important, but has been downplayed because of (a) perceived inconsistencies between telling and constructivism, (b) increased awareness of the negative consequences of relying too heavily on telling, and (c) a focus on "non-telling" actions as…

The article discusses the ways that less successful mathematics students used graphing software with capabilities similar to a basic graphing calculator to solve algebra problems in context. The study is based on interviewing students who learned algebra for 3 years in an environment where software tools were always present. We found differences…

In a secondary school mathematics teaching methods course, a research team engaged 22 preservice secondary teachers (PSTs) in designing and posing tasks to algebra students through weekly letter writing. The goal of the tasks was for PSTs to elicit responses that would indicate student engagement in the mathematical processes described by NCTM…

This article summarises a doctoral thesis entitled "Learning algebra in a computer algebra environment, design research on the understanding of the concept of parameter" (Drijvers, 2003). It describes the research questions, the theoretical framework, the methodology and the results of the study. The focus of the study is on the…

This article describes Success Express, a program planned and implemented as part of a collaborative 1990 Javits project for gifted students between Lamar University and Texas A & M. The program has been continued by Lamar and Beaumont Independent School District as a two week summer program to identify high-potential, low-income 4-5 year olds…

The focus of this study was on comparing three groups of Algebra I 9th-year students: one group using linked representation software, the second group using similar software but with semi-linked representations, and the control group in order to examine the effects on students' understanding of linear relationships. Data collection methods…

The importance of algebra instruction has increased in the United States in the past few years. Thus, in most states, middle school students are required to take Algebra 1. Middle school students with math difficulties in inclusion algebra settings may require a different instructional approach. The purpose of this research was to compare student…

This article defines "higher level mathematical skills" and details an important class: that of "constructing instances" of mathematical objects satisfying certain properties. Comment is made on the frequency of higher level tasks in undergraduate work. We explain how such questions may be assessed "in practice" without the imposition on staff of…

With testing and accountability on everyone's mind, teachers are looking for creative ways to teach "all" subjects. Literacy is on the top of the list for testing, so it seems to get top priority. But how can teachers make sure that mathematics, especially a crucial area such as algebraic thinking, is a priority as well? Integrating subject matter…

The purpose of this study was to describe elementary preservice teachers' difficulties with understanding algebraic generalizations that were set in an authentic context. Fifty-eight preservice teachers enrolled in an elementary mathematics methods course participated in the study. These students explored and practiced with authentic, hands-on…

When Erik G. Brown launched his teaching career at the Cesar Chavez Academy in East Palo Alto, California, four years ago, he was not alone. Seventy-five percent of the teachers in the 400-student middle school were new to the district, and two-thirds of those were new to the field. The school had gone through six principals in six years, and its…