NIER (National Institute of Educational Research, 2004) survey revealed that the most common attitude of Japanese high school students to mathematics is that "it is not useful in daily life but must be learnt for entrance examinations". It was also clarified that only 3.2 percent of mathematics teachers use computers in their classes.…

In the early stages of working with dynamical geometry environments, students make many more mistakes than if they thought out and implemented the same constructions on paper. Most Czech teachers have very little experience of doing geometry using computers. A methodology which could help them to teach students to avoid mistakes dependent on the…

The goal of this paper is to demonstrate the infrastructural nature of many modern conceptual technologies. The focus of this paper is on conceptual tools associated with elementary types of data modeling. We intend to show a variety of ways in which these conceptual tools not only express thinking, but also mold and shape thinking. And those ways…

This paper introduces the reader to the concepts of binomial probability and simulation. A spreadsheet is used to illustrate these concepts. Random number generators are great technological tools for demonstrating the concepts of probability. Ideas of approximation, estimation, and mathematical usefulness provide numerous ways of learning…

This study describes a discrete mathematics course for second year college students majoring in computer science or mathematics. Students worked in cooperative learning groups on challenging projects using the computer algebra programming language DERIVE. Results indicate that DERIVE allowed students to verify their conjectures, students generally…

Presents a graphing activity to show transverse and longitudinal waves using spreadsheets. (Author/NB)

Presents a semiotic analysis of the potential of computer algebra systems (CAS) for enabling mathematical activity on a conceptual level higher than usual. Illustrates examples of theoretical points from a development project in the context of a first year university course in calculus. Discusses how CAS may be used in a didactical analysis and in…

Presents some activities for elementary school mathematics classes using a Cabri computer program. (KHR)

Discusses the use of a dynamic geometry software package to improve teaching of graph theory in basic graph sketching and in isomorphic, bipartite, and planar graphs. (JRH)

Presents attributes of different types of software including Logo, geometric packages, graphical packages, and spreadsheets, each of which offers different opportunities for learning. Investigates the different ways in which the software allows for performing the given task so as to make the mathematics of the task explicit to users. (KHR)

Defines virtual manipulatives and stresses their advantages for classroom use. Presents examples on the Internet and discusses current and potential use of virtual manipulatives. (KHR)

Investigates the effects of computers and Internet technology on teaching and learning. Presents electronic examples that integrate well with high-quality mathematics instructional programs. (KHR)

Shares insights concerning preparation needed for using Computer Management of Instruction (CMI), the general structure of a CMI system, and some system features a user might encounter. Describes the development of Arkansas' Computer-Assisted Instructional Management system for mathematics instruction. (RH)

Points out that the notion of "concrete" is relative and argues the advantages of, and recommendations for, using computer manipulatives. (MKR)

Presents a real-life example of mathematical modeling in which a medical company asks for help in solving a warehouse-inventory problem. Uses charts, graphs, and computers. (MKR)