Discusses the use of a computer algebra system in a capstone mathematics course for undergraduate mathematics majors preparing to teach secondary school mathematics. Provides sample exercises intended to demonstrate how the power of a computer algebra system such as MAPLE can contribute to desired outcomes including reinforcing and strengthening…

The 52 tests cited in this bibliography are geared to students in grade 7 and above. This bibliography also includes descriptions of item banks and test batteries in which algebra is one of several subjects being assessed. Although grades 1 through 12 are represented, the tests are primarily designed for grades 7 and above, including adult-level.…

Presents an activity that explores the completion of squares from the geometric point of view. (ASK)

Provides a brief synopsis of the development of the National Fire Danger Rating System along with an explanation of how it works and possible ways to use it in a modeling or problem-solving unit in a secondary mathematics classroom. (ASK)

Presents two games that provide practice with equivalent fractions, that were produced at three levels of difficulty, Level 1 being the simplest. Also describes another game for practice in solving simple linear equations. Appendices contain examples of materials used in the games. (ASK)

Algebra, an important skill, provides a way to represent situations so they can be analyzed carefully. In the new algebra classroom, students will listen and talk to one another while learning to understand problems and devise solutions. Teachers will organize tasks (involving graphing, rating, and ranking techniques) to help students discover the…

Describes one teacher's effort to change the classroom environment in order to create student-directed exploratory learning. Presents a lesson in which students use the computer program Lesson Graph to study the effects of coefficients on linear equations. (ASK)

Describes a card trick that provides opportunities for students to discover patterns, work with variables, create tables, and ponder mathematics. Students at various levels of ability are able to enjoy the trick, and mathematical discourse is promoted within the classroom. (AIM)

Describes a research project that examined the effects of the Computer-Intensive Algebra (CIA) and traditional algebra curricula on students' (N=802) understanding of the function concept. Results indicate that CIA students achieved a better understanding of functions and were better at the components of modeling, interpreting, and translating.…

Presents a model for teaching reasoning using technology in the contexts of algebra and geometry. (MKR)

Constructivism is considered a driving force in mathematics education. The purpose of this paper is to describe how the social constructivist view of learning can be useful in the teaching of high school algebra and in the preparation of mathematics teachers. A brief summary of the social constructivist view as a philosophy of mathematics is…

The stated goal of Individual Computer-Assisted Instruction (ICAI) research is the development of computer software that combines much of the subject matter being studied, any particular student's learning schema, and the pedagogical knowledge of human tutors into a powerful one-to-one learning environment. This report describes the initial steps…

Describes how college students enrolled in a course in elementary algebra apply graphing and algebra to data collected from a seismic profile to uncover the structure of a subterranean rock formation. Includes steps guiding the activity. (MDH)

This paper describes the Milwaukee Public Schools' involvement in Equity 2000, a standards-based reform initiative to enhance mathematics education and achievement among students of color, thereby increasing their likelihood of college enrollment and completion. The study highlights efforts to support and sustain a key component of Equity 2000:…

Discusses the place of writing in mathematics classes. Presents three specific writing assignments designed for and used in a college abstract algebra course. (ASK)