Simulation is an important learning tool that allows students to grasp probability concepts, especially when the actual scenario does not need to be replicated entirely. In the cases of tossing coins and rolling dice, gathering the data before analyzing them can be laborious and might be a waste of precious class time--time that might be better…

Manipulatives have been used in many mathematics classrooms across many age groups with the aim of helping students to understand abstract concepts through concrete, kinesthetic, and visual experiences. In this paper, after we provide a background for the use of physical and virtual manipulatives in teaching and learning of mathematics, we will…

This paper proposes a taxonomy of the pedagogical opportunities that are offered by mathematics analysis software such as computer algebra systems, graphics calculators, dynamic geometry or statistical packages. Mathematics analysis software is software for purposes such as calculating, drawing graphs and making accurate diagrams. However, its…

Many popular mathematical software products including Maple, Mathematica, Derive, Mathcad, Matlab, and some of the TI calculators produce incorrect graphs because they use complex arithmetic instead of "real" arithmetic. This article expounds on this issue, provides possible remedies for instructors to share with their students, and demonstrates…

This paper was developed with the goal of enhancing the mathematical preparation of secondary school teachers in the technological paradigm. It shows how two-variable inequalities can be utilized as models for the construction of geometric objects using the software Graphing Calculator 3.5 (produced by Pacific Tech) as a relation grapher. An…

Describes a pilot study on the use of computer algebra at the upper secondary level. A symbolic calculator was introduced in a pre-examination class studying for advanced pre-university mathematics. Focuses on the identification of obstacles that students encounter while using computer algebra with the theoretical framework of Realistic…

Graphic tips for using the Geometer's Sketchpad (GSP) are described. The methods to import an image into GSP, define a coordinate system, plot points and curve fit the function using a graphical calculator are demonstrated where the graphic features of GSP allow teachers to expand the use of the technology application beyond the classroom.

Strategies for incorporating a calculator made within FORTRAN programs and a Response Analysis Scheme during interactive sessions are described highlighting salient features of the programs. (Author/SK)

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…

An analysis was made of the use of computing tools at the graduate and undergraduate levels in colleges and universities in the United States. Topics ranged from hand-held calculators to the use of main-frame computers and the assessment of the SPSSX, SPSS, LINDO, and MINITAB computer software packages. Hand-held calculators are being increasingly…

Presented are several suggestions for teaching elementary school mathematics with technology. Activities use calculators and microcomputers for teaching multiples. (RH)

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…

Considers the use of technology, particularly programmable or graphics calculators and computer software, in the transition years from secondary to higher education. Discusses use of software systems like Mathematica in the extended investigative, problem solving, and modeling Common Assessment Tasks of the Victorian Certificate of Education.…

Nine computer programs (available from the authors) are described including graphic display of molecular structures from crystallographic data, computer assisted instruction (CAI) with MATH subroutine, CAI preparation-for-chemistry course, calculation of statistical thermodynamic properties, qualitative analysis program, automated conductimetric…

Describes projects for high school physics classes that use computer tools including integrated software packages, graphing calculators, and calculator-based lab and microcomputer-based lab. Sites available on the World Wide Web are discussed and specific examples of experiments based on Galileo and Newton are included. (LRW)