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…

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…

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)

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)

Describes a study in which two groups of high-ability eighth-grade male students explored different kinds of functions independently using computer graphing technology. Reports that students in the treatment group scored higher than did students in the text-based typical control group. Contains 14 references. (Author/ASK)

Uses a traditional approach with problem solving, a concrete approach with manipulatives, and a visual approach with computer spreadsheets to teach the arithmetic mean to 22 children in grades 4-6 in three multiage groups. Differences among pretest, posttest, and interview performances suggest some advantage to the use of a visual instructional…

Reports on a case study investigating how secondary preservice mathematics teachers perceive the need for and the benefits of formal proof when given geometric tasks in the context of dynamic geometry software. Results indicate that preservice teachers are concerned that after using dynamic software, high school students will not see the need for…

Presents a method for using matrix algebra and computers to encode and decode secret messages. Provides examples of coding procedures, a short review of matrix multiplication, and a BASIC program for use with secret messages containing up to 1000 numbers. (RT)

Explores abundant numbers and presents a proof that abundant numbers of every order exist. Readers are encouraged to use the included computer program to explore abundant numbers for themselves, look for patterns in the output, and consider further questions. (Author/MKR)