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May 2012, Volume 105, Issue 9


A River Runs through Math Class
Linda L. Cooper and Martin C. Roberge
Let’s go wading! Students connect fundamental mathematics concepts in this real-world, problem-solving field experience.

Misidentifying Factors Underlying Singapore’s High Test Scores
Zalman Usiskin
A strong curriculum is not the sole reason for Singaporean students’ success on international assessments.

The Common Core and Inverse Functions
Kelly W. Edenfield
As we design curriculum programs based on CCSSM, we need to be careful when we consider the inclusion of some “nonessential” standards.
Second Look:
The Concept of Inverse

Optimization: Old Dogs and New Tasks
Jennifer J. Kaplan and Samuel Otten
An optimization problem from a calculus class can be made accessible to algebra and prealgebra students. Are you smarter than a Welsh corgi?

Helping Students Become Quantitatively Literate
Katrina Piatek-Jimenez, Tibor Marcinek, Christine M. Phelps, and Ana Dias
How teaching for QL differs from teaching a traditional mathematics course and where to find good QL problems.

Thanks from the Editorial Panel
MT Editorial Panel
A list of the referees and reviewers for Mathematics Teacher from mid-2010 through 2011.

Classified Index, Volume 105, August 2011-May 2012- FREE PREVIEW!
Online Only
The MT 2011-2012 index contains both an author index and a subject category.

Second Look - The Concept of Inverse

The Inverse Name Game
The importance of emphasizing the concept of inverse. It addresses the different names we use for inverses and suggests ways to help students see the big picture. The author ties together the use of inverses in functions, arithmetic operations, reciprocal relationships, and makes a case for instruction of the inverse as a coherent whole.

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.

A Hands-On Approach to Teaching Composition of Functions to a Diverse Population
This article presents a project that introduces compositions and inverses of functions, using a method that complements the learning styles of Native American students.

Illluminations Lesson: Code Crackers

Students begin an exploration of cryptology by first learning about two simple coding methods, the Caesar cipher and the Vigenere cipher. Students then use matrices and their inverses to create more sophisticated codes. 


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