Presents the results of an investigation into how pre-service teachers with low-level mathematics qualifications do mathematics when using hand-held, sophisticated mathematics technology as a tool. Results indicate that students were able to master the technical aspects of the TI-92, ask relevant questions and engage in mathematical discussion,…

Stresses the links between the technical work and the conceptual reflection in the learning of mathematics and argues that the potential of Computer Algebra Systems (CAS) is to be found in the more varied and richer techniques that CAS can offer. Reports on an experiment with DERIVE as well as findings of research on graphical calculators, and…

Demonstrates the principal concept and the application of MAPLE in mathematical education in various examples. Discusses lengthy and abstract topics like the convergence of Fourier series to a given function, performs the visualization of the wave equation in the case of a vibrating string, and computes the oscillations of an idealized skyscraper…

Presents an algorithm to compute the critical path in a graph representing a project evaluation research task. Once the algorithm is executed, the last matrix obtained permits the visualization of some important information which leads to the determination of the weight of the critical path. (Author/MM)

Describes how the introduction of the TI-92 transformed a traditional first semester linear algebra course into a matrix-oriented course that emphasized conceptual understanding, relevant applications, and numerical issues. Indicates an increase in students' overall performance as they found the calculator very useful, believed it helped them…

Discusses the notion of variables in computer algebra, mathematics, and science. Central are the questions of how variables are actually used in mathematics and science, how computer algebra supports the various uses of variables, what conceptual differences exist, and what consequences follow from this for teaching, learning, and doing…

Using a Computer Algebra System (CAS) to help with the teaching of an elementary course in linear algebra can be one way to introduce computer algebra, numerical analysis, data structures, and algorithms. Highlights the advantages and disadvantages of this approach to the teaching of linear algebra. (Author/MM)

Reports the results of a qualitative, classroom-based study on the interactions between the role, knowledge, and beliefs of the teacher; the mathematical tasks; and the patterns of graphing calculator use by a group of pre-calculus students. Describes the development of a set of norms that governed the ways in which the tool was used in the…

Suggests a model for the learning and reinforcing of algebraic manipulative skills through the intensive use of group work using computer algebra systems (CAS). Suggests a model for assessing students through group work, for using the TI-92 as a self-assessment tool, and in cross-curricular activities. (Author/ASK)

Demonstrates a less utilized feature of the TI-92+: its natural and powerful programming language. Shows how to implement several linear algebra related algorithms including the Gram-Schmidt process, Least Squares Approximations, Wronskians, Cholesky Decompositions, and Generalized Linear Least Square Approximations with QR Decompositions.…

Investigates the impact of the TI-89 hand-held Computer Algebra System (CAS) on student achievement in a first year college core calculus course. Analyzes data from an experimental study conducted at the United States Military Academy at West Point from 1998-2000. Results indicate that the TI-89 hand-held CAS experimental group attained a higher…

Compiles observations from a multivariable calculus class in which computers were used extensively. Results show that visualization skills can be improved and that students use technology in very innovative ways. (Author/MM)

Describes a research and development project whose main focus is the use of Computer Algebra Systems (CAS) in mathematics classrooms and the didactical possibilities linked with its use. Focuses on the possibilities and problems of cooperation between theory and practice and between mathematics educators and teachers. (Author/MM)

Reviews examination questions and categorizes them according to their usefulness in a Computer Algebra System (CAS) environment with respect to their significance for testing abilities and skills and from the point of view of using a CAS for their solution. Examination questions are presented as an important didactical tool in teaching…

Describes the different ways in which two pioneering Australian teachers adapted their teaching to use computer algebra systems (CAS). One teacher used CAS with the primary goal of increasing understanding but restricted student use. The other teacher adopted CAS as an extra technique for solving standard problems, emphasizing time saving routines…