This paper merges state-of-the-art calculator technology with examples drawn from the Harvard Consortium Calculus Curriculum. A brief rationale for selection of the Harvard project and the TI-85 is provided, and four different mathematical situations are examined using different capabilities of the TI-85. Two short TI-85 programs are given.…

Presents examples of students' work when they are engaged in problem solving and reasoning tasks as they determine how to fill bottles with water to create musical notes by blowing across the tops of the bottles, and as they create mathematical models that represent these notes. (ASK)

Because fractal images are by nature very complex, it can be inspiring and instructive to create the code in the classroom and watch the fractal image evolve as the user slowly changes some important parameter or zooms in and out of the image. Uses programming language that permits the user to store and retrieve a graphics image as a disk file.…

This article describes TI-73 calculator activities appropriate for middle school students. It was found that the use of the calculator allowed for higher-level thinking and a richer exploration of mathematical ideas by students. [Included with this article are "Dice Roll Worksheet" and "Transforming Tree Worksheet".] (Contains 9 figures.)

In this article, we will describe the results of a study of 6th grade students learning about the mathematics of change. The students in this study worked with software environments for the computer and the graphing calculator that included a simulation of a moving elevator, linked to a graph of its velocity vs. time. We will describe how the…

The need exists for methods courses to address the pedagogy issues of using graphing calculators. There needs to be a teacher candidate forum to examine their pedagogical perspectives on using graphing calculators in teaching, to explore when and how to use graphing calculators in the classroom, and to provide opportunities to practice teaching…

This Brief Report describes a secondary analysis of the solutions written by 306 second-year algebra students to four constructed-response items representative of content at this level. The type of solution (symbolic, graphical, or numerical) used most frequently varied by item. Curriculum effects were observed. Students studying from the second…

Triangular numbers are used to unravel a new sequence of natural numbers here-to-fore not appearing on the Encyclopedia of Integer Sequences website. Insight is provided on the construction of the sequence using "buildings" as a viewable model of the sequence entries. A step-by-step analysis of the sequence pattern reveals a method for generating…

The paper concerns the analysis of the role of artefacts and instruments in approaching calculus by graphic-symbolic calculator at high school level. We focus on an element of the introduction of calculus: the global/local game. We discus the hypothesis that the zoom-controls of calculator support the production of gestures and metaphors that…

We present in this paper five case studies of instrumental genesis of number-theoretic concepts and techniques involving multiples, divisors, and numerical decomposition. The pupils, who were 12 to 15 years old, used the multi-line screen display of the graphing calculator to explore numerical tasks related to the "Five steps to zero"…

This book contains an interactive calculator and worksheet program designed to teach the graphing of some of the functions that appear in high school mathematics courses. The graphs of linear, exponential, and logarithmic functions are explored as well as other functions. Activities focus on the graph that appears as a standard part of algebra…

The purpose of this study was to investigate students developing understanding of concepts related to rate of change. Twenty students first participated in a rate of change curriculum unit as part of an after school math and technology program. During the unit, students used motion detectors and related graphing software to create and analyze…

This paper describes how the TI-92+ calculator can be valuable in illustrating basic and advanced programming concepts in introductory computer science courses. Descriptions of the scope of the curricula for the courses in which the TI-92+ is used are provided. The TI-92+ programming language is particularly useful in demonstrating the progression…

Presents a workshop on graphing technology that targeted a diverse group of students from elementary and secondary grades. Includes an activity on exploring the relative rates of heating and sections on reading the graphs, practicing with sensors, and plotting 3-D graphs. (YDS)

Describes the successful use of a computer algebra system (CAS) with a student as he worked on a problem involving functions far more difficult than he had previously encountered. (Author/NB)