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October 2008, Volume 102, Issue 3

FEATURES

Investigating the Relationship between Latitude and Temperature
Jean McGivney-Burelle, Raymond McGivney, Katherine McGivney
An engaging, data-gathering activity that allows students to explore relationships between latitude and average monthly temperatures of cities in the Western Hemisphere. Technology, data gathering, data representation, modeling, scatter plots, and predicting are incorporated.

Vertex-Edge Graphs: An Essential Topic in High School Geometry
Eric Hart
An overview of vertex-edge graphs as an essential topic in the high school mathematics curriculum, including rationale, recommendations, and sample applications. A classroom-ready activity with full teacher notes is also included. Description of graph theory as an important arena for application and skill development are discussed.

Lesson Study with Preservice Teachers
Mary McMahon, Ellen Hines
The use of lesson study with preservice secondary mathematics teachers to encourage collaborative reflection and professional development. A description of the lesson study cycle, preparation, implementation, and reflection are discussed.

Fractals in the Classroom
Michael Fraboni, Trisha Moller
For the past four years, the authors have run a workshop for middle and high school teachers to introduce fractal geometry and its usefulness in the classroom. In this article, they share their knowledge and passion for the topic. They introduce the topic of fractals, explain the process of iteration, and give sample exercises.

Can You Fathom This? Connecting Data Analysis, Algebra, and Geometry with Probability Simulation
Michael Edwards, Steve Phelps
Ways in which data simulation and visualization tools have opened up new pathways for learning through the exploration of several rich mathematical tasks. The availability of intuitive, drag-and-drop data visualization and simulation tools blur the distinction between algebra, geometry, and data analysis in the secondary school curriculum. The data analysis and representation tool Fathom is discussed and procedures explained.

Helping Teachers Connect Vocabulary and Conceptual Understanding
A. Gay
A focus on mathematics vocabulary must be part of teachers' instructional plans to develop students' understanding of key ideas. The authors present examples from work with preservice teachers regarding two vocabulary strategies and other related activities that can be used by middle and high school mathematics teachers. Author discusses the need for clarifying teacher understanding of vocabulary before introduction to students and possible problems.