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March 2013, Volume 106, Issue 7

FEATURES

Visible Thinking in High School Mathematics
Emily Sliman
Chalk Talk and Claim-Support-Question are two routines for developing students’ ability to use multiple representations and encouraging classroom discussion.

Equivalence Relations across the Secondary School Curriculum
Lisa Berger
An analysis of problems from state assessments and other sources helps preservice teachers discover analogous mathematical representations.

Why Is the Midpoint an Average?- FREE PREVIEW!
Lingguo Bu
The relationship between a midpoint and an average showcases the interplay between procedural knowledge and conceptual knowledge in learning mathematics for teaching.

Sorting Out Ideas about Function
Amy F. Hillen and LuAnn Malik
A card-sorting task can help students extend their understanding of functions and functional relationships.
Second Look:
Functions

Truth and Beauty: Mathematics in Literature
Marion D. Cohen
Studying mathematics-related fiction and poetry helps students develop an appreciation for both mathematics and literature and an understanding of the connection between the two.

Second Look - Functions

Inverse Functions: What Our Teachers Didn’t Tell Us
The concept and notation of inverse functions—often tricky for students—become less so when using real-world data and a strategy of solving for the dependent variable.

Choreographing Patterns and Functions
Young students dance their way through a multifaceted differentiated approach to early algebra instruction.

The Back Page: My Favorite Lesson: A Graphic Organizer for Polynomial Functions
A graphic organizer can help students analyze polynomial equations.

Illuminations Applet: Function Matching
See how well you understand function expressions by trying to match your function graph to a generated graph. Choose from several function types or select random and let the computer choose.

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