This paper introduces the Affording Understanding Conceptual Framework as a way for mathematics teacher educators to analyze student 's perceptions of a digital math tool 's helpfulness (e.g., GeoGebra) versus the instructor's perceptions when seeking insights into how a lesson design could be improved. An example of this action research process…

The purpose of the study was to explore whether learners' conceptual knowledge (CK) or procedural knowledge (PK) understanding of calculus using the stimulus of active technology-based learning strategy better influence their content knowledge (COK) development. The quantitative methods were used in a quasi-experimental design. CK, PK and COK…

It is common for both algebra and calculus instructors to use power functions of various degrees as well as exponential functions to examine and compare rates of growth. This can be done on a chalkboard, with a graphing calculator, or with a spreadsheet. Instructors often are careful to connect the symbolic and graphical (and occasionally the…

This article describes the benefits and drawbacks of using Wolfram|Alpha as the platform for teaching calculus concepts in the lab setting. It is a result of our experiences designing and creating an entirely new set of labs using Wolfram|Alpha. We present the reasoning behind our transition from using a standard computer algebra system (CAS) to…

An interactive, multimedia text for calculus instruction that contains the entire contents of a corresponding textbook is evaluated and found to have features that enhance concepts with dynamic examples of graphs and problems that make good use of animation, audio, and video. Its design accommodates diverse student abilities and educational…

Discusses the use of the Calculus & Mathematica materials, presents an objective assessment of student performance based on a uniform final exam, presents a summary of student perceptions drawn from responses to survey questions, and gives an analysis of the strengths and weaknesses of the courseware. (19 references) (Author/MKR)

Describes the CALM (Computer Aided Learning in Mathematics) Project developed at the Heriot-Watt University (Scotland) for teaching calculus; reports on the next phase of CALM following further funding from British industry; and discusses future possibilities through the work of the United Kingdom Mathematics Courseware Consortium. (Contains eight…

Discusses conception, design, implementation, and evaluation of a calculus course that utilizes a multi-user microcomputer system with graphics terminals. The numerical and utility routines of the software are briefly described, and examples of several types of calculus problems that can be solved utilizing the system are reviewed. (Author/MBR)

Notes muMATH is a powerful computer algebra systems assistant for performing symbol manipulation in algebra and calculus. Provides several examples and program listings for calculus tutoring, differentiation drill problems, and integration drill problems. (MVL)

Discusses the snowflake curve as a way to introduce the topic of sequences and series. Computer programs which produce graphic results are included. (PK)

Argues that the use of computer technologies in secondary schools should change the nature of mathematics education. Urges the rethinking of the uses of traditional paper-and-pencil computations. Suggests some computer applications for elementary algebra and for problem solving in arithmetic and calculus. (TW)

Presented are classroom-tested examples of instructional materials (courseware) for ordinary differential equations using the software package PHASER. All of the examples include in-class demonstration techniques and commentaries for instructor use, student homework and laboratory exercises, and suggestions for in-class examination questions. (JJK)

The work described in this paper is part of a larger project, called InterQuest, which is dedicated to establishing effective models and methods for teaching using Internet technology, especially the World Wide Web. Features of two InterQuest projects, CalculusQuest and QuestWriter, are discussed. CalculusQuest is a first-term differential…

Presents an easy-to-use Applesoft BASIC program that graphs rational functions and any asymptotes that the functions might have. Discusses the nature of rational functions, graphing them manually, employing a computer to graph rational functions, and describes how the program works. (TW)

Presents several ways that the microcomputer can be used as an aid in teaching various topics in calculus, including graphing functions, solving equations, finding limits and derivatives, and solving optimization problems. Emphasizes the use of computer software that tends to maximize the potential of computer graphics in mathematics instruction.…