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• Author or Editor: S. Asli Özgün-Koca
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## Use of Archimedes' Process for Approximating Circle Area as an Introduction to Limits

An introductory activity for the limit concept with a geometrical and historical foundation. A connection among Geometry, Measurement and Calculus is highlighted with the help of technology. The geometrical drawing, measurement and graphing capabilities of both TI-89 and Geometer's Sketchpad make it possible for students to experience Archimedes' process for determining circular area.

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## Strategically Fostering Dynamic Interactive Environments

Student interviews inform us about their use of technology in multiple representations of linear functions.

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## GPS: Investigating Variability

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

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## Fostering Perseverance

This research department describes strategies for helping students persevere in solving complex mathematics problems.

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## Mathematical Explorations: Interpreting Box Plots with Multiple Linked Representations

A box plot activity is driven by a TI-Nspire calculator.

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## Virtual Data Collection for Real Understanding

Extend a well-known circle-exploration activity using technology to connect geometry and algebra.

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## A Historical Perspective from a to c

Using quadratic functions as an example, see how the evolution of technology has altered the expectations of students' understanding and critical thinking.

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## Drawing a Regression Line between Spaghetti and Basketball

Students make a slam dunk, first with spaghetti and a scatter plot, then with a graphing calculator.

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## GPS: Working Backward with Data

This month's Growing Problem Solvers focuses on Data Analysis across all grades beginning with visual representations of categorical data and moving to measures of central tendency using a “working backwards” approach.

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## GPS: From Folding to Dynamic Geometry Environments

In this month's Growing Problem Solvers, we focused on supporting students' understanding of congruence and similarity through rigid motions and transformations. Initial understandings of congruence and similarity begin in first grade as students work with shapes in different perspectives and orientations and reflect on similarities and differences.