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September 2011, Volume 105, Issue 2

FEATURES

Algebra Aerobics
Julie Barnes and Kathy Jaqua
A kinesthetic approach to developing ideas of function transformations can get students physically and intellectually involved.
Second Look:
Kinesthetic Approach to Teaching and Learning

What’s Inside the Cube? Students’ Investigation with Models and Technology
Samuel Obara and Zhonghong Jiang
Applying Zometool, vZome software, and The Geometer’s Sketchpad to tetrahedrons nested in cubes enhances students’ spatial visualization skills.

Corner Reflector Mathematics
Susan R. Popelka
Students investigate the geometrical properties used to design reflective safety garments and road signs.

Voronoi Diagrams and Spring Rain
Arnold E. Perham, C.S.V., and Faustine L. Perham
The same rain that washes out the high school baseball team’s game supplies data for a class geometry project.

The Amazing Mathematical Race
Bethany A. Noblitt and Brooke E. Buckley
Participants race across a university campus, completing challenging mathematical tasks that correspond to NCTM’s Standards.

Second Look - Kinesthetic Approach to Teaching and Learning

Walking a Radian
Kinesthetic explorations of the radian in a classroom setting help students internalize the concept.

Early Secondary Mathematics: Teaching Sums of Angle Measures: A Kinesthetic Approach
A different approach to teaching students how to measure the sums of angles of various polygons. They employ kinesthetic activities with easy-to-follow diagrams and instructions and provide activity sheets for recording activity experiences.

Sharing Teaching Ideas: Function Notation
Auditory, visual, symbolic, and kinesthetic approaches for introducing function notation in first year Algebra. The use of a computer algebra system is one component of this lesson.

Sharing Teaching Ideas: Demystifying Systems
A multi-day introductory lesson on linear systems in two variables that utilizes kinesthetic and technology-based activities to create mathematical connections to the methods of graphing, substitution, and linear combination.

Illuminations Unit: Human Conics
Students use sidewalk chalk and rope to illustrate the locus definitions of ellipses and parabolas. Kinesthetics, teamwork, and problem solving are stressed as students take on the role of focus, directrix, and point on the conic, and figure out how to construct the shape.

The Teaching Principle
Effective mathematics teaching requires understanding what students know and need to learn and then challenging and supporting them to learn it well.

The Learning Principle
Students must learn mathematics with understanding, actively building new knowledge from experience and prior knowledge.