Describes a pilot study on the use of computer algebra at the upper secondary level. A symbolic calculator was introduced in a pre-examination class studying for advanced pre-university mathematics. Focuses on the identification of obstacles that students encounter while using computer algebra with the theoretical framework of Realistic…

We comment on the paper "The co-emergence of machine techniques, paper-and-pencil techniques, and theoretical reflection: A study of CAS use in secondary school algebra" by Carolyn Kieran and Paul Drijvers. We look at aspects of Kieran and Drijvers' analysis with regard to "task-technique-theory" in the light of a model of abstraction in context…

This paper presents a sequence of computer-based activities aimed at achieving an intuitive understanding of the ideas and concepts underlying the Fundamental Theorem of Algebra. Deductive proofs to support students' empirical investigations are also discussed. (LZ)

Production rules used to build a problem-solving system and a tutorial interface that controls interaction between user and system are described. The tutorial interface controls the rule- based problem solver used to emulate a student's steps, while the system provides a flexible framework for algebraic problem solving. (Author/MBR)

Presents an approach to task sequencing that is based on a component-skills view of intelligence and learning. Related research in cognitive psychology and in computer based instruction is reviewed, and a cognitive model of human task sequencing is developed and then applied to an intelligent tutoring system for algebra. (39 references)…

The purpose of this article is to explore some research into teaching and learning algebra, and to consider related classroom issues. This leads to the development of diagnostic instruments that may be used by senior secondary teachers as students leave the middle years and embark on rigorous mathematical study. It also outlines an effective…

The Victorian Curriculum and Assessment Authority (VCAA) Computer Algebra System (CAS)Pilot study (2001-2005) is monitoring the use of CAS in senior secondary mathematics. This article explores the author's experiences in the CAS classroom and delineates changes in teaching style, as a result of the introduction of CAS into the senior mathematics…

This paper extends and develops theories of mathematical learning to provide a framework for the analysis of classroom video data of students working at a computer in a task aimed at increasing understanding of multiple representations of quadratic functions. Student interactions are coded using novel software tools in the process of analysis, and…

This paper outlines the development of an activity that uses the computer's unique capabilities to provide students with a meaningful and highly motivating experience with the graphing of equations. The basic design of the game calls for the computer to display a coordinate grid on which it graphs any equations that are typed in by the student.…

Examples illustrate the use of APL for teaching selected topics from logic, set theory, algebra, number theory, and calculus using the glass box approach. (MP)

This paper compares a number of different Computer Algebra Systems (CAS) in their solution of one-step and multi-step problems. The CAS programs considered include DERIVE, Maple, Mathematica, and MuPAD while the problems are taken from the final examinations of grades 9 and 12 in Estonian schools. The different outputs to one-step problems with…

Examples are provided which demonstrate the use of the computer as an instructional aid for the algebra curriculum. While the basic content of an algebra course would remain intact, computer technology can enhance and expand methods of algebra instruction. (JN)

Reports on a case study of a 16-year-old student working on transformations of functions in a computer-based, multirepresentational environment. Presents an analysis of the work during the transition from the use of visualization and analysis of discrete points to the use of algebraic symbolism. (AIM)

Describes the Geometer's Sketchpad, a geometric construction kit composed of three manipulatable, dynamic, linked, multiple representation environments: the coordinate system, formulas, and graphs. Examines the use of the environments for studying parameter effects of linear and quadratic functions and for solving linear equations. (MDH)