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Mathematics Teacher

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Volume 103, No. 6, February 2010
 MT2010-02-cover
FEATURES

Common Errors in Counting Problems -FREE Preview!
Scott A. Annin and Kevin S. Lai
Analyzing combinatorics problems involving flags and playing cards presents students' common pitfalls that can be avoided.
Online Extra: Additional Exercises (Word) onlineextrassymbol-20x22.jpg
Second Look: Combinatorics 

Proof-Related Reasoning in High School Textbooks
Gwendolyn J. Johnson, Denisse R. Thompson, and Sharon L. Senk
A framework for investigating proof-related reasoning in high school algebra and precalculus textbooks and suggest ways to increase students’ opportunity to learn proof-related reasoning.
Online Extra: Bibliography of Textbook Resources (PDF) onlineextrassymbol-20x22.jpg

What Mathematics Do High School Teachers Need to Know?
Michael J. Gilbert and Jacqueline Coomes
The MC3 project defines, describes, and characterizes the mathematics knowledge needed for teaching high school.

Investigating the Fundamental Theorem of Calculus
Heather L. Johnson
A student’s response to the fundamental theorem of calculus expands the lesson to include representing accumulated area as a function.

How Technology Can Motivate the Learning of Proof
Kimberly O. Muller
Using The Geometer’s Sketchpad® helps students learn about geometric proof through exploration, discovery, and conjecture.
Share Your Ideas - Calls for Articles

2011 Focus Issue -Teaching Geometry-deadline May 1, 2010

Lesson Study - Been involved in Lesson Study? Share what you've learned.

All current Calls for Articles - Share what you've learned through Mathematics Teacher
DEPARTMENTS

Contemporary Curriculum Issues:
High School to Postsecondary Education: Challenges of Transition

Sound Off! Can We Make High School More Relevant?

Media Clips: Walking the Equator; Leap-Year Births

Mathematical Lens: Mathematical License
Online Extra: Additional Photo (PDF) onlineextrassymbol-20x22.jpg
February Calendar and Solutions

Reader Reflections

Activities for Students: Moving a Wall: Using Geometry to Measure an Imperceptible Distance
Online Extra: Activity Sheet (Word) onlineextrassymbol-20x22.jpg
Technology Tips: Scrambling Data with Fathom to Simulate the Null Hypothesis

Delving Deeper: Growth Rates and the Marvelous Geometric Sequence

For Your Information: Publications

The Back Page: My Favorite Lesson
Making Connections and Communicating Ideas

Second Look - Combinatorics

Counting Pizzas: A Discovery Lesson Using Combinatorics  (with Handouts!)      
January 2002, Volume 95, Issue 1, Page 8 - Mathematics Teacher

The Spot Problem: Connecting Points, Connecting Mathematics
January 2002, Volume 95, Issue 1, Page 26 - Mathematics Teacher

Cribbage: An Excellent Exercise in Combinatorial Thinking
April 2005, Volume 98, Issue 8, Page 519 - Mathematics Teacher

Road Trip
Illuminations Lesson: Students will plan a road trip, starting in Cleveland, to visit friends in Cincinnati, Pittsburgh, Baltimore, and Boston. However, with the price of gas over $3.00 a gallon, they will figure out the shortest travel route to save on expenses. This lesson investigates three different methods to determine the shortest route: the Nearest Neighbor method, the Cheapest Link method, and the Brute Force method.

Principles and Standards for School Mathematics
Data Analysis and Probability Standard for Grades 9–12

Free Previews

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