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Amber G. Candela, Melissa D. Boston and Juli K. Dixon

We discuss how discourse actions can provide students greater access to high quality mathematics. We define discourse actions as what teachers or students say or do to elicit student contributions about a mathematical idea and generate ongoing discussion around student contributions. We provide rubrics and checklists for readers to use.

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Over the past 100 years, technology has evolved in unprecedented fashion. Calculators, computers, and smart phones have become ubiquitous, yet school mathematics experiences for many children still remain without many powerful technological tools for the exploration of mathematics. We consider the evolution of some tools as we imagine a future.

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Krista Francis and Michael Poscente

Lego Mindstorms™ robotics quickly draws children in and provides ample opportunities for engaging them in robust mathematical learning. Two introductory programming tasks empower children to use their creativity and problem-solving skills to build number sense in a fun, engaging learning environment. 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. Send submissions of no more than 1500 words to this department by accessing http://tcm.msubmit.net. See detailed submission guidelines for all departments at http://www.nctm.org/WriteForTCM.

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Sarah B. Bush, Karen S. Karp, Jennifer Nadler and Katie Gibbons

By examining ratios in paintings and using a free educational app, students can size up artists' use of proportional reasoning in their creations.

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A cartoon exploring a problem about order of operations is coupled with a full-page activity sheet.

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Kami M. Dupree

Abandon mnemonics and make stronger connections between the operations and properties of arithmetic.

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Samuel Otten and Andrew Otten

Students make strategic choices–and justify them–to solve a system of two linear equations.

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Nicole Panorkou and Alan P. Maloney

Develop fifth-grade students' early expression of pattern relationships through instructional tasks.

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Elana Reiser

Use popular culture to draw students' attention to mathematical topics.

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Michael Weiss

Core content provides opportunities to focus on the structure of mathematical theory, proof, and anticipation of subsequent topics.