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## “Sliding” into an Equitable Lesson

A kindergarten teacher uses Gutièrrez's Four Dimensions of Equity to design and facilitate geometry instruction.

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## Designing an Earthquake-Resistant Building

Contributors to the iSTEM (Integrating Science, Technology, Engineering, and Mathematics) department share ideas and activities that stimulate student interest in the integrated fields of science, technology, engineering, and mathematics (STEM) in K–grade 6 classrooms. This article is a comprehensive Earthquake Engineering activity that includes the Designing an earthquake-resistant building problem. The task was implemented in sixth-grade classes (10–11-year-olds). Students applied engineering design processes and their understanding of cross-bracing, tapered geometry, and base isolation to create numerous structures, which they tested on a “shaker table.”

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## Show Me a Sign

Observe a first-grade teacher's use of gesture as a mathematics teaching and learning tool in his classroom.

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## Teaching and Learning about Patterns in Preschool

This preschool teacher uses differentiation and scaffolding techniques as she reads an informational text about patterns with her young students.

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## Capturing Thinking on the Talk Frame

This instructional tool helps students engage in discussions that foster student reasoning, then settle on correct mathematics.

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## 7 Steps to High-End Learning

Research-based actions and practical ideas for implementation can help shape your differentiated instruction.

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## Hanging Around with Platonic Solids

The Platonic solids, also known as the five regular polyhedra, are the five solids whose faces are congruent regular polygons of the same type. Polyhedra is plural for polyhedron, derived from the Greek poly + hedros, meaning “multi-faces.” The five Platonic solids include the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron. Photographs 1a-d show several regular polyhedra

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## Spinning the Cube with Technologies

The rise of dynamic modeling and 3-D design technologies provides appealing opportunities for mathematics teachers to reconsider a host of pedagogical issues in mathematics education, ranging from motivation to application and from visualization to physical manipulation. This article reports on a classroom teaching experiment about cube spinning, integrating traditional tools, GeoGebra (www.geogebra.org), and 3-D design and printing technologies. It highlights the rich interplay between worthwhile mathematical tasks and the strategic use of diverse technologies in sustaining sense making and problem solving with a group of prospective teachers.

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## Let's build it!

Geometry is much more than learning vocabulary and identifying shapes; it involves developing spatial sense—an intuition about shapes and the relationship between them. In this Let's Build It activity, students reason about geometric shapes and their attributes as they use newspaper dowels to build two- and three-dimensional structures.

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## Problem: Rocket Ship Exploration

Exploring how many pattern blocks will completely fill the Rocket Ship puzzle, students are challenged to use the most and fewest number of blocks possible. They have the opportunity to explore the composition and decomposition of shapes and generalize ideas about the relationship between the size of the pieces and the number of pieces. Each month, elementary school teachers are presented with a problem along with suggested instructional notes; asked to use the problem in their own classrooms; and encouraged to report solutions, strategies, reflections, and misconceptions to the journal audience.