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,…

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…

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)

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)

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)

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…

Describes the outcomes and discusses possible implications for the development of assessment with a Computer Algebra System (CAS) when a group of undergraduate mathematics students, familiar with using a CAS in examinations, tackled an assortment of traditional (i.e., non-CAS type) questions. (Author/MM)

Presents ways of using theories of knowing and learning to inform use of computer algebra systems (CAS) in school and early college mathematics. Describes the role of macroprocedures and microprocedures, process-object distinctions, and the movement towards more formal ways of expressing mathematical ideas. Discusses how these theories along with…

Presents a portfolio of examples that illustrate how TI-92 technology has been used to support an undergraduate engineering mathematics course by changing it from student-passive to student-active. The instant feedback and variety of possible representations enables a concepts- and applications-driven interactive teaching approach which has led to…

Describes a teaching experiment in which spreadsheets and computer algebra systems were used to teach a low-level college consumer mathematics course. Students were successful in using different types of functions to solve a variety of problems drawn from real-world situations. Provides an existence proof that computer algebra systems can assist…