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December 2012, Volume 106, Issue 5


December 21, 2012: A Date of Opportunity
Shirley B. Gray and Zebanya Rice
Mathematics teachers have a rare chance to appreciate the ancient Mayan culture and to investigate mathematics not derived from Western civilization.

Authentic Tasks in a Standards-Based World- FREE PREVIEW!
Michael Todd Edwards, Suzanne R. Harper, and Dana C. Cox
The Meeting for Lunch problem exemplifies how standards provide more than an outline of daily activities for an entire school year.

Effective Instruction: A Mathematics Coach’s Perspective
Amy L. Nebesniak
When it comes to student achievement, teachers and instruction matter most.

Rate Problems: Thinking across the Curriculum- FREE PREVIEW!
Patrick Kimani and Nicole Engelke
In a new approach, rate problems—the bane of students—can connect to higher-level concepts.
Second Look:
Rate of Change

Gaming the Law of Large Numbers
Thomas R. Hoffman and Bart Snapp
A dice game makes understanding the connection between relative frequency and probability easier for students.

Second Look - Rate of Change

Making Sense of Slope
Examples that can be used to develop the concept of slope as a rate of change through three modes of learning: visualization, verbalization, and symbolization.

A Natural Approach to the Number e
Building on prior knowledge of slope, this approach helps students develop the ability to approximate and interpret rates of change and lays a conceptual foundation for calculus.

Illuminations Lesson: Pedal Power
Students investigate slope as a rate of change. Students compare, contrast, and make conjectures based on distance-time graphs for three bicyclists climbing to the top of a mountain.

Algebra Standard for Grades 9-12
Instructional programs from prekindergarten through grade 12 should enable all students to—