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)

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…

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…

Presents examples to illustrate that iteration and recursion are useful pedagogical tools that can be used in many areas of mathematics, make models traditionally taught in upper levels accessible in grades 9-14, and provide alternative problem solving approaches less dependent upon ready-made formulas. (Author/MM)

Describes a classroom experiment using hand-held computer algebra systems (CAS) for the learning of algebra with the aim of developing the conception of a parameter as a means for generalization. The idea of the instrumentation of information and communications technology tools turned out to be fruitful in the interpretation of the students'…

Reports on a study replicating and extending a previous study examining the effects of the TI-92 graphics calculator and calculus instruction on students' success in calculus. Finds that students using a TI-92 had significantly better performance on the final exam and overall course grade than students using other calculators, and student-centered…