Discusses the focusing effect of technology as a way of systematically accounting for the role of technology when students form ideas that are unexpected and unwanted by teachers and designers of the technology being implemented. Includes examples of university students using graphing calculators and mathematics software and considers implications…

Observations focusing on classroom discourse, uses of graphing calculators, nature of instructional tasks, and instructor-questioning patterns in a high school algebra course found that the teacher modified his teaching strategies and curriculum to accommodate the teaching strategies and topics that arose from the use of the graphing calculator.…

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)

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…

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 approaches taken with concepts associated with exponential functions by using graphing calculators to provide students with concrete meaning for the sometimes abstract concepts involved and to link students' learning with their existing knowledge. (ASK)

Describes a study designing and implementing technology-based investigations and evaluates their impact on student learning. Discusses a teacher's mediation of the students' use of technology through curriculum materials, and considers some attributes of computers and graphics calculators that determined which tool was selected for each…

Presents activities to model dynamic systems using graphing calculators and calculator based laboratories. (Author/ASK)

Promotes the use of logistic modeling in high school and early college mathematics, to compare this model to commonly used models, and to give an alternative to the TI-83 built-in logistic-regression key method when that method fails to converge or gives an inappropriate model. (ASK)

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…

This paper documents how eight high school students in a precalculus class enhanced with graphing calculators think about functions. Three models of thinking about functions emerged from students' function images observed over a period of 9 months. In the graph model, students believed that functions are essentially graphs; in the equation model,…