The purpose of this qualitative case study was to examine the modeling of technology by mathematics professors in two universities in teaching required courses for secondary level pre-service mathematics teachers. Six professors participated in this case study. Their responses were documented in pre- and post-interviews and data were gathered from…

Reviews tasks and techniques to help students develop an appropriate instrumental genesis for algebra and functions to prepare for calculus. Focuses on the potential of the calculator to connect enactive representations and theoretical calculus. Discusses strategies to help students experiment with symbolic concepts in calculus. (Contains 32…

Computer Algebra Systems (CAS) can be used to help understand the behavior of cubics and other families of curves. The analysis of the parameters associated with a family of curves can give insight into the behavior of the family and can be used within the context of a mathematical model to determine a policy for the implementation of the model in…

This study sought to gather empirical evidence of the effectiveness of calculus instruction like that used in the Calculus and Mathematica project by examining and comparing the effects of three different instructional approaches to calculus on students' (n=100) abilities to use and understand connections between numerical, graphical, and symbolic…

Considers various aspects of teaching and learning stemming from the integration of graphing calculator use in a semester-long college algebra course. Argues that technology use has had a positive impact on various dimensions of student learning. (Author/CCM)

Examines the impact of the recent shift towards calculating and computing tools on the nature of learning in traditionally difficult curriculum area. Focuses on the use of graphic calculators by undergraduates taking an innovative new mathematics course at Open University. Indicates that graphic calculator technology acted as a critical mediator…

Technologies play a prominent role in current reforms of school and collegiate mathematics. This study examined ways in which first-semester calculus students still showed the influence of a graphing-intensive college algebra course they had studied one or two semesters earlier. Students (n=18) at a large research university were asked to solve a…

The graphing calculator affords the student in analysis a powerful tool to extend visualization, which was previously limited to textbook illustrations and time-consuming constructions. Provides illustrative examples used in initial classroom presentations of several topics including convergence and in student explorations of these topics. (ASK)

Describes the use of calculator based laboratory (CBL) technology in monitoring the process of chemical reactions. Explains the estimation of infinity readings and criteria to choose t values. (YDS)

Describes how to implement numerical integration on a pocket calculator to solve two kinds of differential equations important in physics. The two equations are those defining simple harmonic and quantum harmonic motion. The half-increment method is used for this purpose. (GA)

Discusses the properties of the equation y"+ay=0, a basic equation in differential equations classes which is well known to have periodic solutions. Explores similar but more complicated equations using a graphing calculator to ask questions about the nature of the solutions and to generate conjectures from examples. Lists some equations and…

Miniature handheld computers called PDAs are not only bombarding corporate America, but they are also noticeably making their mark on college campuses. The question is, how much impact are they making on the way students learn and instructors teach. These devices were born from a simple calculator and over two decades have transformed into a…

This study viewed the impact of calculators on achievement and attitudes and differential effects of this use on various population groups in a community college arithmetic course. Data did not confirm the use of calculators for motivational purposes, inspiring confidence, or increasing problem-solving skills for all types of students. (MP)

Describes the implementation of graphing calculators as teaching and learning aids in an intermediate linear algebra unit at the undergraduate level. Outlines the approach taken and discusses the problems that arose in relation to calculator use. (ASK)

Presents a study on calculus reform that examines how instructional approaches that place different emphases on the use of technology and multiple representations impact undergraduate calculus students' ability to use and understand connections between different representations of concepts. Compares three courses--traditional calculus, calculus…