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November 2012, Volume 19, Issue 4

FEATURES

The Menu for Every Young Mathematician’s Appetite
Danielle S. Legnard and Susan L. Austin
A first-grade teacher demonstrates how to serve up this model of inquiry-based instruction in any classroom.

Using Math Stations for Commonsense Inclusiveness
Janet B. Andreasen and Jessica H. Hunt
To meet diverse student needs, use an approach that is situated in understanding fractions.
Second Look:
Math Stations

Voting Changed My Teaching Approach- FREE PREVIEW!
Donald G. Saari
Fourth graders’ creative thinking concerning a long-standing research problem stimulated changes in instructional strategies.

Growing Patterns: Seeing beyond Counting
Kimberly A. Markworth
Three suggestions help sixth-grade students develop functional thinking in geometry.

Second Look - Math Stations

Learning Geometry and a New Language
Discusses the language-inquiry approach to learning geometry and describes the use of geometry stations to promote this inquiry.

Alice in Numberland: Through the Standards in Wonderland
Discussion of a whimsical mathematics event for children and adults that was held at the Providence Children’s Museum in Rhode Island. It was derived from Lewis Carroll and Alice's Adventures in Wonderland. NCTM’s five Content Standards were the basis of all stations and activities. The article also includes a table listing thirty-one activities and a brief synopsis of the activity, grade, and NCTM Standard.

Illuminations Lesson: How Many More Fish? (PreK-2)
This unit focuses on comparative subtraction. The students use fish-shaped crackers to explore five meanings for the operations of subtraction (counting, sets, number line, balance, and inverse of addition). Comparative subtraction extends the students early understandings about counting, addition, and subtraction in the take-away mode. In this unit, the students investigate properties of subtraction, represent subtraction in objects and pictures, and record subtraction in both vertical notation and equations. They create and solve problems involving comparative subtraction. Students answer such questions as "How many more?" and "How many less?" Missing addend activities provide students with an experience in algebraic thinking.

Illuminations Lesson: Patterns that Grow (3-5)
Students use logical thinking to create, identify, extend, and translate patterns. They make patterns with numbers and shapes and explore patterns in a variety of mathematical contexts. These lessons give students an opportunity to create and analyze numeric and geometric patterns. Particular emphasis is placed on growing patterns.

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