Diversity can be introduced in algebra without needing extra time. Explores three opportunities to encounter and engage diversity: (1) history; (2) multiple representations; and (3) object concept of function. (ASK)

Computer Algebra Systems (CAS) can be used to help understand the behavior of cubics and other families of curves. The analysis of the parameters associated with a family of curves can give insight into the behavior of the family and can be used within the context of a mathematical model to determine a policy for the implementation of the model in…

Describes several ways to implement the NCTM Standards in technically enhanced classrooms. Presents examples from "Computer-Intensive Algebra." Provides suggestions for implementation. (YP)

As a learning theory, constructivism describes knowledge as being in flux--where an individual internally constructs knowledge through social and cultural mediation. Constructivist learning theorists contend that social activity and discourse must play important roles in order for understanding to occur. This paper describes how the social…

Developed by the major committees of the Minnesota Mathematical Association of Two-Year Colleges (MinnMATYC) and approved by its Executive Board, these four position statements are intended to guide discussion and influence decisions affecting mathematics in Minnesota's two-year colleges. The first position statement suggests that the prerequisite…

Discussed are the philosophy and procedures behind the introduction of algebra to students in grade 7 in Australia. Included are the importance of concrete experiences, language development, and the consequences involved in this procedure. (CW)

This paper illustrates a different conception of arithmetic, an arithmetic with reasons as well as rules. This arithmetic includes making connections between different representations and making sense of rules as well as using them. It provides a foundation for "Algebra the Web of Knowledge and Skill" in the sense that algebra can be…

This paper considers how the algebra curriculum in secondary mathematics might be reformulated by rethinking both the content of algebra and the approaches to teaching and learning algebraic concepts. It considers how the concept of function can be made a central theme of the algebra curriculum and further suggests that computer software, when…

Discusses social and intellectual factors in medieval Italian algebra; problems and methods, including operating on the unknown, quasi-equation problems, and giving-and-receiving problems; and the scope of algebraic methods. Considers implications for teaching. (43 references) (MKR)

Illustrates, categorizes, and analyzes typical mathematical errors in algebra and trigonometry made by high school and lower division college students. (16 references) (Author/MKR)

Discusses features of the Algebra Project, whose goals include a minimum standard of mathematical literacy for minority students and strong community involvement. (MKR)

Describes the necessity in college developmental algebra classes for an individualized learning approach that caters to remedial students' different needs. The Mediated Learning Model, used at Brevard Community College, integrates the core elements of traditional instruction with interactive multimedia. (VWC)

Presents examples of using the computer to enhance teaching function evaluation using BASIC, Riemann sums using MAPLE computer algebra systems, and linear programing using MATLAB. (YP)

Students undertaking mathematics courses in their final year of secondary education in Victoria are assessed using a combination of school based coursework assessment and examinations. Over the last decade, students have used technology such as graphics calculators, statistical software, spreadsheets, and computer algebra systems (CAS) extensively…

Examines questions raised by the Algebra Project relating to sociocultural contexts in which mathematical learning takes place and the contribution of social processes to the construction of mathematical knowledge. Finds that the project goal of improving minority student prospects in advanced mathematics and science is measurable and well worth…