Algebra has long been a gatekeeper to more advanced mathematics and to tertiary education. International assessments, such as PISA, have also shown that this trend extends beyond borders, making the topic of when algebra should be learned quite political. Many reforms have been instituted since the early 1990s to infuse algebraic thinking into…

This study investigated the ways in which four middle grades teachers developed mathematical knowledge for teaching (MKT) geometry as they implemented dynamic geometry software in their classrooms with the assistance of a coach. Teachers developed various components of MKT by observing coaches teach, by dynamic discourse with students, which is…

The purpose of this descriptive study was to examine teacher instructional dilemmas and opportunities that emerged when students worked with interactive computer-based simulation models during the High-Adventure Science (HAS) project. The intervention included the HAS digital curriculum, designed for grades 7-12. Each curricular unit was framed to…

In this technology-oriented age, teachers face daily decisions regarding the use of advanced digital technologies--graphing calculators, dynamic geometry software, blogs, wikis, podcasts and the like--to enhance student mathematical understanding in their classrooms. In this case study, the authors use the Technological, Pedagogical, and Content…

The primary purpose of this classroom experiment was to examine the effectiveness of concrete (hands-on) manipulatives as compared with virtual (computer-based) manipulatives on student review of fraction concepts in third grade and introduction of symmetry concepts in fourth grade. A pretest-posttest design was employed with a sample of 91…

While the nature of mathematics and the nature of science have received much attention, there is a lack of research on the nature of technology. This study sought to investigate preservice teachers' perceptions about the nature of technology and its role in mathematics education and society. Based on two philosophical theories of technology, the…

The successful implementation of an innovation--information technology in this instance--is a process that is developmental in nature, and a highly personal experience for each teacher. Thus, for any change to be successful, the concerns of each individual teacher must be taken into consideration when intervention strategies are developed. Hall,…

The challenge many teachers face is how to incorporate new technology into their classrooms that strengthens classroom learning by capitalizing on students' media literacies. Blogs, a new and innovative technological tool, can be used in math and science classrooms to support student learning by capitalizing on students' interests and familiarity…

Examines pencil-and-paper graphs produced by students at the beginning of a 1-week summer teacher/student institute as well as computer-based graphs produced by those same students at the end of the institute. Initial problems with managing data sets and producing meaningful graphs disappeared quickly as students used the process of "building…

Shows how five points determine the formula of a conic section and uses the determinant as a computational device to find the coefficients in the formula. Uses symbolic, numerical, and graphical techniques. (Author/MKR)

Examines the historical evolution of the competencies implied by the phrase "computer literacy" and identifies several competencies that will likely characterize the computer literate teacher in the 1990s. (42 references) (Author/MKR)

Presents an application of the software tool DERIVE in the exploration and visualization of a relationship between logarithmic and exponential functions. (Author/MKR)

Discusses two knowledge domains, 'use technology' and 'teach with technology effectively' in supporting teachers' professional growth. Presents reflections from a project in which middle school teachers use computer software to improve their mathematics teaching and learning. (Contains 13 references.) (Author/ASK)

Presents an activity that explores the derivation of Pi. Involves students taking a constructivist role by collecting data, making conjectures, and using the data to construct graphs and tables and discourse about appropriate algebraic representations. Uses the computer as an instructional aid to enable students to view the data in a variety of…

An activity that shows how mathematics can be used to model events in the real world is described. A way to calculate the area of the sun covered by the moon during a partial eclipse is presented. A computer program that will determine the coverage percentage is also included. (KR)