Presents strategies that utilize graphing calculators and computer software to help students understand the concept of minimizing the squared residuals to find the line of best fit. Includes directions for least-squares drawings using a variety of technologies. (DDR)

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…

More than two decades of research and experience supports the idea that computer and calculator technologies can have an important role to play in supporting and effecting student learning (Heid, 1988; Kaput, 1992; Kutzler, 1996; Papert, 1980; Waits and Demana, 1999). The development of Classroom Communication Systems (CCSs) is providing new…

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…

Introduces the notion of a class networked with graphing calculators and discusses the pedagogical implications of this set up. New teaching methods are necessary to exploit the potential of the system. (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…

Explores the broader potential of hand held technology. Presents web resources with descriptions of new technologies and applications that include graphing calculators and classroom communication systems. (MM)

How does your calculator quickly produce values of trigonometric functions? You might be surprised to learn that it does not use series or polynomial approximations, but rather the so-called CORDIC method. This paper will focus on the geometry of the CORDIC method, as originally developed by Volder in 1959. This algorithm is a wonderful…

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.…

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'…

Aims for students to use a combination of stochastic ideas to simulate a basketball tournament. Uses the TI-83 calculator in the activity to simulate the binomial distribution. (KHR)

Provides a qualitative description of what happened to 10th grade students' attitudes and cognitive development when learning algebra using Computer Algebra Systems (CAS). Chronicles the frustrations, changes in attitude, motivation, determination, and improvements in cognitive development of algebraic concepts over the course of the six-week…