Information and Communication Technology (ICT) implementation in education is a national priority in Bhutan, particularly as it relates to the STEM disciplines. Researchers at Samtse College of Education introduced 19 experienced secondary school mathematics and physics teachers to The Geometers' Sketchpad and GeoGebra in two workshops. At the end…

The purpose of this mixed-methods study was to investigate the relationship between teachers' conceptions of mathematics and their use of intelligent tutoring systems for mathematics instruction. Intelligent tutoring systems are adaptive computer programs which administer mathematics instruction to students based on their cognitive state. A…

According to the principles of the National Council of Teachers of Mathematics [NCTM, 2000], teaching mathematics needs well equipped teachers in terms of knowledge because of its complex structure. Moreover, teachers' knowledge and technology are an important issue to build up and enhance students' learning. Qualified teachers should know how and…

This qualitative case study investigated teachers' Technological Pedagogical Content Knowledge (TPACK) for teaching high school geometry in Turkey. Four TPACK components and their corresponding five TPACK level descriptions were used for examining three geometry teachers' TPACK through their technological instructional plans, microteaching…

This paper explores the use of blogs, a simple application of Web 2.0 technologies, in middle school geometry instruction. Specifically, it provides an overview of the interactive features of Web 2.0 technologies and the feasibility of using Web 2.0 technologies in geometry teaching and learning, as well as a proposed model for creating a…

In schools, learning spatial geometry is usually dependent upon a student's ability to visualize three dimensional geometric configurations from two dimensional drawings. Such a process, however, often creates visual obstacles which are unique to spatial geometry. Useful software programs which realistically depict three dimensional geometric…

Online video sharing websites have had a profound impact on the ways that students learn about the world, about the culture, and about mathematics. However, we would like to challenge McLuhan's assertion that changing the media has necessarily changed the message. In fact, the authors posit that the majority of online videos are seen as…

This article reports the findings of an experimental study involving 36 primary school students (16 girls, 20 boys, Mean age = 9.5 years, age range: 8-10 years) in geometrical understanding of 2D and 3D objects. Students were assigned into two experimental groups and one control group based on a stratified random sampling procedure. The first…

This study documents problem solving approaches that high school students develop as a result of using systematically Cabri-Geometry software. Results show that the use of the software becomes an important tool for students to construct dynamic representations of the problems that were used to identify and examine different mathematical relations.…

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…

In this study, I present an analysis of high school geometry curricula regarding mathematical proof opportunities. I examined eight U.S. high school level geometry textbooks, which were categorized into three main groups: technology-intensive, standards-based, and traditional curricula. I conceptualized "ideal" proving activity combining…

This paper was prepared in response to the Conference Board of Mathematical Sciences recommendations for the preparation of secondary teachers. It shows how using trigonometry as a conceptual tool in spreadsheet-based applications enables one to develop mathematical understanding in the context of constructing geometric representations of unit…

The ability to display an accurate image is commonly assumed to be a benefit of dynamic geometry software--it seems reasonable to conclude that the task of noticing and interpreting relationships between objects is easier if figures are drawn to scale. However, results of a study involving preconstructed, web-based, dynamic, geometry sketches in…

This paper advocates the use of symbolic computation packages as another aid in teaching geometry. The need for such packages and their use in computerized proofs are demonstrated by a problem in high school planar geometry. (LZ)

Presents three activities in which students learn about and construct star polygons using the LOGO programing lanaguage. A list of suggested extension activities is included. (JN)