Technological Pedagogical Content Knowledge (TPACK) is a theoretical framework that has enjoyed widespread applications as it applies to the integration of technology in the teaching and learning process. This paper reviews the background for TPACK, discusses some of its limitations, and reviews and introduces a new theoretical framework, 21st…

U.S. teachers have less time to plan, collaborate, and research related work in comparison to teachers in competing countries (NECTL) and time is needed for teachers to learn new skills, understand new concepts, and to integrate new ideas into their practice (Corcoran, 1995). The MSUrbanSTEM Teaching and Leadership Fellowship program is a…

A unique aspect of the implementation of a computer algebra system (CAS) at a comprehensive university in the U.S. allowed us to compare the student success and failure rates to the traditional method of teaching college algebra. Due to space limitations, the university offered sections of both CAS and traditional simultaneously and, upon…

Students in a graduate geometry class used items such as paper, ribbon, plastic spheres, cardboard tubes, and markers to carry out investigations in spherical geometry. The hands-on activities helped students develop a new appreciation of geometry as a study of shape and space; however, the difficulty of subduing wayward elastics and drawing lines…

With the increased use of computer manipulatives in teaching there is need for theoretical discussions on the role of manipulatives. This paper reviews theoretical rationales for using manipulatives and illustrates how earlier distinctions of manipulative materials are broadened to include new forms of materials such as virtual manipulatives.…

A Computer Based Education (CBE) program for intervention mathematics was developed, used, and modified over a period of three years in a computer lab at an Arizona Title I middle school. The program is described along with a rationale for the need, design, and use of such a program. Data was collected in the third year and results of the program…

The use of Computer Algebra Systems (CAS) is becoming increasingly important and widespread in mathematics research and teaching. In this paper, I will report on a questionnaire study enquiring about mathematicians' use of CAS in mathematics teaching in three countries; the United States, the United Kingdom, and Hungary. Based on the responses…

Algebra has been identified as the foundational course for all other mathematics courses. Yet, research has shown that African-American students are low achievers in all strands of mathematics (NCES, 2001). Computers, on the other hand, have been marketed as an instructional tool to teach and reinforce classroom instructions. This study…

This study sought to examine preservice teachers' beliefs about their intent to use educational technology in mathematics classrooms. Also, web-based instruction on topics in elementary school mathematics was used to foster teachers' confidence and competence in using instructional technology, thereby promoting positive attitudes toward use of…

The notion of problem-based physics laboratories enhanced by computer technology has been coined "studio physics" (Wilson, 1994) and has been practised at various institutions for some time (Cummings, Marx, Thornton, & Kuhl, 1999; Williams, MacLatchy, Backman, & Retson, 1997). In recent years, new technology tools have been available to supplement…

The purpose of the present study was to examine the nature of the discourse generated by two different online approaches to mathematics teacher professional development. Thirty mathematics teachers participated in online activities involving analysis and discourse about artifacts of teaching practice. Half were randomly assigned to a group that…

E-books promise to become a widespread delivery mechanism for educational resources. However, current e-books do not take full advantage of the power of computing tools. In particular, interaction with the content is often reduced to navigation through the information. This article investigates how adding interactive visuals to an e-book…

What features of mathematical thinking do students exhibit when they use dynamic software in their problem solving approaches? To what extent does the systematic use of technology favour students' development of problem solving competences? What type of reasoning do students develop as a result of using a particular tool? This study documents…

A learning object is an interactive web-based tool that supports learning by enhancing, amplifying, and guiding the cognitive processes of a learner. To date, no formal research has been done on the use of learning objects in secondary school science classrooms. The purpose of this study was to evaluate the use of learning objects developed for…

This paper introduces technology-based teaching ideas that facilitate the development of qualitative reasoning techniques in the context of quadratic equations with parameters. It reflects on activities designed for and used with prospective secondary mathematics teachers in accord with standards for teaching and recommendations for teachers in…