Table representations of functions allow students to compare rows as well as values in the same row.

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### Wendy B. Sanchez

Educating students—for life, not for tests—implies incorporating open-ended questions in your teaching to develop higher-order thinking.

This department publishes brief news articles, announcements and guest editorials on current mathematics education issues that stimulate the interest of TCM readers and cause them to think about an issue or consider a specific viewpoint about some aspect of mathematics education. This month in the Coaches' Corner, take a closer look at CCSS Standard 3 for Mathematical Practice, Explain and Justify. Coaches may want to demonstrate the integration of math and writing with Speak, Write, Reflect, Revise, a five-step approach for integrating problem solving and the writing process.

### Bobson Wong and Larisa Bukalov

Parallel geometry tasks with four levels of complexity involve students in writing and understanding proof.

### David A. Yopp

Asked to “fix” a false conjecture, students combine their reasoning and observations about absolute value inequalities, signed numbers, and distance to write true mathematical statements.

### Lisa Berger

An analysis of problems from state assessments and other sources helps preservice teachers discover analogous mathematical representations.

### Sonali Raje, Gail Kaplan and Michael Krach

The Chinese number pyramid puzzle serves as a means to develop students' critical thinking skills.

### Mark Pinkerton and Kathryn G. Shafer

An action research study focuses on the teaching strategies used to facilitate Problems of the Week.

### Sarah D. Ledford, Mary L. Garner and Angela L. Teachey

Interesting solutions and ideas emerge when preservice and in-service teachers are asked a traditional algebra question in new ways.

### Colin Foster

Exploring even something as simple as a straight-line graph leads to various mathematical possibilities that students can uncover through their own questions.