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August 2011, Volume 17, Issue 1

FEATURES

Canine Conjectures: Using Data for Proportional Reasoning
Arla Westenskow and Patricia S. Moyer-Packenham
A family dog supplies the measurements for scatter plots and variables so that students can explore relationships among data sets—not to mention paws and tails.

Lining Up Arithmetic Sequences
Carol J. Bell
Ask your students to analyze geometric representations of arithmetic sequences for a meaningful problem-solving experience.

Representations and Rafts
Kimberly Sipes Hartweg
Building a rod raft allows students to make mathematical connections among a model, a table, a formula, and a graph.

A Geometric Path to the Concept of Function
Scott Steketee and Daniel Scher
Transformations using dynamic software can provide a unique perspective on a common topic.

Additional Information
Examples from the Geometer's Sketchpad (ZIP file)
Second Look:
Transformations

Second Look - Transformations

Transformations and Technology: What Path to Follow?
A technology-based approach for dealing with a misconception that some students hold concerning the equivalency of geometric transformations. Students can begin to conceptualize transformations in terms of the relationship between preimage and image figures rather than focus on the motion of a figure. Teachers will learn how to use technology to implement this activity in the mathematics classroom.

It's Friezing in Here: Tessellations through Art, Architecture, and Cultural Artifacts
The integration of transformational geometry, mathematics, history, art, and cultural studies in a middle-grades mathematics classroom.

From Tessellations to Polyhedra: Big Polyhedra
Students explore relationships among polygons to discover which combinations tessellate; which combinations form polyhedra. Activity sheets, and answers, included.

Illuminations Activity: Frieze Patterns
Students can experiment with the seven classes of Frieze patterns with this activity. They can explore the transformations that constitute each of the seven categories.