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March 2013, Volume 18, Issue 7

FEATURES

Using Aviation to Change Math Attitudes- FREE PREVIEW!
Jerra Wood
A flight simulator presents a new STEM slant on students’ knowledge of linear equations.

Becoming a Mathematical Problem Solver
Nicole R. Rigelman
Take a page from the humanities and have your students investigate mathematics in writing.

Bingo! Select Games for Mathematical Thinking
Christa Jackson, Cynthia Taylor, and Kelley Buchheister
Incorporating math games into the classroom will help your students become motivated problem solvers.

Restoring Order to Permutations and Combinations
Patrick M. Kimani, Renamarie T. Gibbs, and Sarah M. Anderson
Use the fundamental counting principle to crosscut and unify various counting concepts. In all probability, your students will have fewer problems with mathematics.
Second Look:
Permutations, Combinations, and Counting Problems

Second Look - Permutations, Combinations, and Counting Problems

Burgers, Graphs, and Combinations
Article recounts sixth graders' investigations of combinations and graph theory that arose from a claim made on a Steak 'n Shake menu. Several problems for use in class are provided.

From Tessellations to Polyhedra: Big Polyhedra
Students explore relationships among polygons to discover which combinations tessellate; which combinations form polyhedra. Activity sheets, and answers, included.

Counting Attribute Blocks: Constructing Meaning for the Multiplication Principle
Attribute blocks help middle school students understand one of mathematics "big ideas", the fundamental counting principle, thus laying a good foundation for future studies in probability. Lesson plan included.

Illuminations Lesson: Fibonacci Trains
Students use Cuisenaire Rods to build trains of different lengths and investigate patterns, and make algebraic connections by writing rules and representing data in tables and graphs.

Data Analysis and Probability Standard for Grades 6-8

In grades 6–8, teachers should build on this base of experience to help students answer more-complex questions, such as those concerning relationships among populations or samples and those about relationships between two variables within one population or sample. Toward this end, new representations should be added to the students' repertoire. Box plots, for example, allow students to compare two or more samples, such as the heights of students in two different classes. Scatterplots allow students to study related pairs of characteristics in one sample, such as height versus arm span among students in one class. In addition, students can use and further develop their emerging understanding of proportionality in various aspects of their study of data and statistics.