Three different technological activities to explore parameters of quadratic functions each has its own pros and cons.

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### Nina G. Bailey, Demet Yalman Ozen, Jennifer N. Lovett, Allison W. McCulloch, and Charity Cayton

### Anne Quinn

The paper discusses technology that can help students master four triangle centers -- circumcenter, incenter, orthocenter, and centroid. The technologies are a collection of web-based apps and dynamic geometry software. Through use of these technologies, multiple examples can be considered, which can lead students to generalizations about triangle centers.

### Nicole L. Fonger

Designing activities to reconcile multiple representations supports students' focus and fluency.

### Michael Tamblyn

A wonderful experience occurred in a class that I was teaching recently. It was a precalculus class, the last period of the day. The local university had brought over its cadre of preservice secondary school mathematics teachers to observe my class, so there were twenty-four additional eyes on me that day.

### Alison L. Mall and Mike Risinger

Our favorite lesson, an interactive experiment that models exponential decay, launches with a loud dice roll. This exploration engages students in lively data collection that motivates interest in key components of the Common Core State Standards for Mathematics: functions, modeling, and statistics and probability (CCSSI 2010).

### Douglas A. Lapp, Marie Ermete, Natasha Brackett, and Karli Powell

Algebra involves negotiating meaning between the worlds of mathematical ideas and the symbols that represent them. Here we examine classroom interactions and explorations as they relate to the connection of these worlds through the use of dynamically connected representations in a technology-rich environment.

### Justin T. Burris

Compare how third graders think mathematically when using virtual versus concrete base-ten blocks to learn place-value concepts.

### S. Asli Özgün-Koca, Michael Todd Edwards, and Michael Meagher

The Spaghetti Sine Curves activity, which uses GeoGebra applets to enhance student learning, illustrates how technology supports effective use of physical materials.

### Jeremy F. Strayer

Using the TI-Nspire, students can see that polling results from a small group will suffice for determining the opinion of the whole population.

### Jon D. Davis

Using technology to explore the coefficients of a quadratic equation leads to an unexpected result.