The foundation of geometric knowledge and understanding starts in primary school, and in contemporary mathematics education there is an emphasis on identifying learning progressions and trajectories as a way of moving students forward. The van Hiele (1986) theory is well-documented and provides insights into the progression and differences of…

CATO is a new user interface, developed by the author as a response to the significant difficulties faced by scientists, engineers, and students in their usage of computer algebra (CA) systems. Their tendency to use CA systems only occasionally means that they are unfamiliar with requisite grammar and syntax these systems require. The author…

The ability to develop engaging simulations and constructive learning experiences using mobile devices is unprecedented, presenting a disruption in educational practices of historical proportions. In this paper we describe some of the unique virtues that mobile learning hold for early age mathematics education. In particular, we describe how…

In this article the author focuses on signature pedagogies that are associated with different forms of educational technologies. The author categorizes forms of technologies that support the teaching and learning of mathematics in different ways, and identifies signature pedagogies associated with each category. Outcomes and impacts of different…

Most people who are attracted to STEM-related fields are drawn not by a desire to take mathematics tests but to create things. The opportunity to create an algebra drawing gives students a sense of ownership and adventure that taps into the same sort of energy that leads a young person to get lost in reading a good book, building with Legos®,…

In this article we demonstrate how the combination of a system for dynamic geometry with a freely programmable scripting environment can be advantageously used in teaching and research. We explain the reasons behind various design decisions that were made by us when designing the language "CindyScript" and give examples that proof how…

Formal mathematical methods remain, for most high school students, mysterious, artificial and not a part of their regular intuitive thinking. The authors develop some themes that could lead to a radically new approach. According to this thesis, the teaching of programming languages as a regular part of academic progress can contribute effectively…

Explains a general theory of mathematical knowledge and its acquisition, and discusses the design of instructional computer use, including software, based on that cognitive theory. A programing language called ISETL is described, and preliminary investigations are presented on students' learning about sequences, convergence, and limits. (five…

Describes eight characteristics of good educational software. They are: (1) educational soundness; (2) ease of use; (3) "bullet" proofing (preventing a program from coming to a premature halt); (4) clear instructions; (5) appropriate language; (6) appropriate frame size; (7) motivation; and (8) evaluation. (JN)

Discusses methodological issues of mathematical microworld development integrated with generating innovation in school settings. Includes experiences in developing a component architecture for educational software based on Logo as a scripting language and discusses problems of collaboration between organizations and people of differing expertise…

The Purdue Academic Learning Opportunity Systems (PALOS), a state-wide program based at Purdue University, was established to provide an administrative structure to enhance the education of Indiana adult residents. The PALOS Mathematics program was designed to increase mathematics achievement levels for selected Indiana populations. The initial…

Examines issues which emerged during the development of estimation materials produced by the Technology and Basic Skills-Mathematics (TABS) project. Special attention is given to the use of feedback in computer-based instruction on estimation. (JN)

A preservice teacher education course involving the applications for a computer within the mathematics classroom is described in terms of its evolution from a workshop to a regular curricular offering. Included are samples of computer experiments which suggest computer teaching activities for the prospective teacher lacking in field experience.…

Discusses ways in which technology is changing mathematics education. Highlights include guidelines for appropriate technology use in the mathematics classroom; the impact of computers on mathematics learning; common uses of computers in mathematics education, including software, the Internet, and programming; and issues and concerns related to…

The third session of IT@EDU98 consisted of five papers on educational software and was chaired by Tran Van Hao (University of Education, Ho Chi Minh City, Vietnam). "Courseware Engineering" (Nguyen Thanh Son, Ngo Ngoc Bao Tran, Quan Thanh Tho, Nguyen Hong Lam) briefly describes the use of courseware. "Machine Discovery Theorems in Geometry: A…