Despite Common Core State Standards for Mathematics (CCSSI 2010) recommendations, too often students' introduction to proof consists of the study of formal axiomatic systems--for example, triangle congruence proofs--typically in an introductory geometry course with no connection back to previous work in earlier algebra courses. Van Hiele…

Mathematical ideas exist and develop in many different cultures. From this multicultural perspective, teachers can use a variety of approaches to acknowledge the role of culture in the teaching and learning of mathematics. Curricular materials that "emphasize both the mathematical and sociocultural aspects" not only help teachers achieve…

Curriculum standards provide classroom teachers with frameworks to guide instruction during the academic year and throughout a student's schooling. Unfortunately, standards are misconstrued as all-encompassing--as a compendium of all mathematics content that can and should be taught to students. Such a view is unfortunate. Mathematics teachers…

Mathematics educators frequently extol the virtues of inquiry-based instruction to classroom teachers. Although research suggests that inquiry benefits learners by allowing them to make sense of the mathematics they encounter, particularly through discourse with peers, to assume that all (or even most) teachers successfully create and implement…

How to iterate geometric shapes to construct Baravelle spirals and Pythagorean trees is demonstrated in this article. The "Surfing Note" sends readers to a site with applets that will generate fractals such as the Sierpinski gasket or the Koch snowflake.

A study was conducted on some of the tips given to the students for capturing the video of the dynamic activity on their computer screens. It was found that the above activity of creating a video proved to be useful to the mathematics educators and the students for presentation in the conference or in the classrooms.

Graphic tips for using the Geometer's Sketchpad (GSP) are described. The methods to import an image into GSP, define a coordinate system, plot points and curve fit the function using a graphical calculator are demonstrated where the graphic features of GSP allow teachers to expand the use of the technology application beyond the classroom.

Todd Lee and colleagues share some of the common technology "pranks" and peculiarities from the three most common technology tools used in our classrooms: Microsoft Excel, graphing calculators, and The Geometer's Sketchpad. The "Surfing Note" includes a link to a collection of funny math cartoons from the Carolina Biological Supply Company.

Two technology guidelines are contributed by Robin Rider of East Carolina University based on the TI-Interactive software she had introduced. The two guidelines to use for this software consist firstly of data gathering with a Calculator-Based Laboratory (CBL) and Calculator-Based Ranger (CBR) without a graphing calculator, and secondly the…

Some of the graphing capabilities of The Geometer's Sketchpad (GSP) in the "Technology Tips" are introduced. The new graphing features of GSP allow teachers to implement the software not only in geometry classrooms but also into their algebra, precalculus and calculus classes.