Four K-12 studies and one for grades 3-4 considered which math topics could be taught most effectively with a hand-held calculator, which new mathematical topics could be successfully introduced when using such calculators, and what the implications might be for problem solving. (Author/LS)

Presents historical mathematics to students. Suggests allowing students to have two methods of problem solving with a graphing calculator to allow for a visual result. Indicates that students should have more than one opportunity to experience a solution to a problem, a variety of contexts for the problem, and an opportunity to communicate. (ASK)

Presents an activity illustrating the role that technology can play in modeling real-world problem situations and making connections across the curriculum. Includes using a graphical model to answer the questions. Lists related programs for TI-82 and TI-92 graphing calculators. (ASK)

Explains an application of mathematical modeling within a school setting as well as progressive use of graphing calculators in mathematical modeling. Analyzes students' performances in the process of problem-solving using the problem of baton-passing in relay races. Discusses students' use of their mathematical knowledge and ideas when they used…

The column for teachers of deaf students addresses issues in mathematics instruction including the impact of calculators, the need to ask students more "why" questions, the value of students writing about mathematics, and the effectiveness of pairing students for problem solving. (DB)

Presents the general postage-stamp problem on Diophantine equations. Discusses ways to uncover all solutions to the problem. (ASK)

The electronic medium suitable for mathematics learning and teaching is often designed with a notebook interface provided in a computer algebra system. Such a notebook interface facilitates a workspace for mathematical activities along with an online help system. In this paper, the proposed feature is implemented in the Mathematica's notebook…

This paper describes an intervention in two Algebra II classes in which the graphing calculator was incorporated into the curriculum as often as possible. The targeted population consisted of high school students in a growing middle to upper class community located in a suburb of a large city. The problem of a lack of understanding of the…

A study was conducted to: (1) observe through a case study approach the exploratory behavior exhibited by 8-year-old boys and girls when calculators were made available in problem-solving situations; (2) investigate changes that occur in the kinds of arithmetical problems children construct following the introduction of calculators; and (3)…

Nineteen Calculus II students were randomly sampled and divided into calculator (n=9) and noncalculator (n=10) groups. These students were asked to "think aloud" while solving 24 Advanced Placement calculus problems. Each student interview was videotaped, coded and analyzed for reasoning process as well as outcome. The results indicated…

Presented are twenty essays related to applications in school mathematics and aimed at the classroom teacher. The essays use numerous examples and illustrations that provide the teacher with something tangible for immediate use. Four thematic areas are addressed: (1) What are applications?; (2) Why include applications in school mathematics?; (3)…

An activity for secondary schools is presented and discussed which may be explored with a programmable calculator. The activity is non-standard and could not be easily explored without the use of a programmable calculator. Related activities are also discussed. Flow charts and programs for different programmable calculators are presented. (MP)

Describes a hand held calculator exercise for computing the Rydberg Constant accurately. (SL)

The purpose of this study was to investigate the effects of the Casio 9850 and the TI-85 graphing calculators on college students' procedural skills and conceptual understanding in two different developmental mathematics courses. The courses used in this study were Elementary Algebra and Intermediate Algebra. Both the non-graphing calculator group…

A sample problem shows some pitfalls in approximating square roots when working with calculators or computers. (MP)