Presents the algorithm to approximate square roots as reproduced from the 1579 edition of an algebra book by Rafael Bombelli. The sequence of activities illustrates that the process of understanding an original source of mathematics, first at the algorithmic level and then with respect to its mathematical validity in modern terms, can be an…

Discusses common error-detecting identification codes using linear algebra terminology to provide an interesting application of algebra. Presents examples from the International Standard Book Number, the Universal Product Code, bank identification numbers, and the ZIP code bar code. (YP)

Pre- and posttests of prerequisite vocabulary terms were given to (n=162) intermediate and (n=178) college algebra students to determine their word knowledge and differences between the intermediate and college algebra students. (11 references) (MKR)

Describes learning-disabled algebra classes offered at Bergen Community College, their structure, teaching and learning strategies used in the classes, and successful outcomes. Concludes that students with learning disabilities can learn algebra when their environment focuses on their needs and learning styles. (KHR)

Promoting ACademic Excellence in Mathematics and Science for Workers of the 21st Century (PACE) was a consortium project made up of Indiana University Northwest, the Gary Community Schools, and the Merrillville Community Schools. The focus of this project was to prepare teachers and curricula for Tech Prep mathematics and science courses for the…

This document states the educational goals for Algebra 1 and Geometry in Arkansas' Learning Standards which are defined in the Arkansas Curriculum Framework. The five goals listed for Algebra 1 include Language of Algebra; Solve Equations and Inequalities; Graphs and Tables With and Without Graphing Calculators; Functions, Relations, and Patterns;…

Dispositions of eighth graders accelerated into first-year algebra were described in this study. Data were collected through surveys, observations, interviews, and cumulative academic files. The most frequently reported reasons for enrolling in algebra were for acceleration of course-taking and preparation for high school. Males demonstrated a…

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…

Describes a hierarchical text database model and defines an algebra based on concordance lists. The algebra is presented as a theoretical model to define both a conceptual schema for the database and search protocols for database implementation. Several retrieval examples are included. (19 references) (MES)

Presents a look at the history of algebra with a historical-psychological framework. This article is one of the keynote addresses of the Algebra Working Group of the Seventh International Conference on Mathematical Education held in Quebec City, Canada in August 1992. (33 references) (MKR)

Discusses the implications of a research study of more than 2000 students aged 11 to 15 that explored why the students interpret algebra in certain ways. Recommends strategies that can help teachers deal with prior knowledge that students may bring to their study of algebra. (DDR)

A study was conducted at California's Orange Coast College (OCC) to determine if students who completed college algebra at OCC or at another college prior to enrolling in the college's calculus for business, management, and social sciences (CBMSS) course performed significantly better than students who had not previously completed college algebra.…

Argues that the challenge for teachers of algebra in Australia is to find ways of making the structural aspects of algebra accessible to a greater percentage of students. Uses the zero product principle to provide an example of a common student error grounded in the difficulty of understanding the structure of algebra. (DDR)

This document presents Core Course Proficiencies for the State of New Jersey whose purpose is to ensure that all students have equal access to the fundamental knowledge and skills critical to achieving success in mathematics. After an introduction providing rationale and background, the Core Course Proficiencies are presented in three sections.…

Describes student work with linear and nonlinear relationships illustrating algebra skills and understanding which are important to introductory algebra. (YDS)