Surveys of mathematics department chairpersons about changes in algebra instructional practices in response to the National Council of Teachers of Mathematics' Curriculum and Evaluation Standards showed wide variation across schools. Contains survey questions on practices in algebra and a bibliography of first-year algebra textbooks. (12…

Presents suggestions for developing algebraic concepts beginning in the early grades to develop a gradual building from informal to formal algebraic concepts that progresses over the K-12 curriculum. Includes suggestions for representing relationships, solving equations, employing meaningful applications of algebra, and using of technology. (MDH)

Describes the Secant Method, a numerical method to approximate solutions to equations for which symbolic solution methods do not apply. Illustrates the method using the EXCEL spreadsheet program. Discusses instructional implications of utilizing this method. (MDH)

Algebridge, the first phase of a University of Arizona project (PRIME) to promote higher education among minority middle school students, makes algebra more accessible by smoothing students' transition to abstract thinking and pinpointing potentially frustrating concepts. The program helps at-risk youngsters dispel their fear of math and clear the…

Describes the use of three computer tools used to enhance the teaching and learning of algebra: the spreadsheet, LOGO, and computer algebra tools. Examines the strengths of each tool and presents practical considerations for their use. (MDH)

Provided is an example of the use of the Pythagorean Theorem to give learners experience in applying mathematical rules. A proof for the theorem is included. Precautions and alternatives are discussed. (CW)

Discussed is the use, importance, and availability of programmed algebraic manipulation packages. The general power summation formula is presented and an example using a programed numerical verification package is provided. (KR)

Explores relationships among enrollment in algebra or a foreign language in eighth grade, level of mathematics or foreign-language courses taken in high school, and application to a four-year college or university. (Author/SLD)

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…