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

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

### Cassandra R. Seiboldt, Lorraine M. Males and Joshua R. Males

A university mathematics teacher educator and a math department chair reflect on how various assignments and structures can support early-career teachers in anticipating student thinking and solutions to purposefully plan lessons.

A set of problems of many types

### Anna F. DeJarnette

In support of efforts to foreground functions as central objects of study in algebra, this study provides evidence of how secondary students use trigonometric functions in contextual tasks. The author examined secondary students' work on a problem involving modeling the periodic motion of a Ferris wheel through the use of a visual programming environment. This study illustrates the range of prior knowledge and resources that students may draw on in their use of trigonometric functions as well as how the goals of students' work inform their reasoning about trigonometric functions.

### Kathy L. Sun, Erin E. Baldinger and Cathy Humphreys

Support your high school students in the challenging transition from memorization to understanding.