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Enrique Ortiz

This article presents an example of discovering an idea through creative play. After some trial and error, I drew a wonderful image, which I later learned was a two-dimensional view of a four-dimensional shape called tesseract.

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Xiaobo She and Timothy Harrington

Get familiar with this visual instructional tool to help students make sense of mathematical relationships and select suitable operations for word problems at varied grade levels.

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Jared Webb and P. Holt Wilson

ABSTRACT

In this article, we describe rehearsals designed for use in professional development (PD) with secondary mathematics teachers to support them in reimagining and refining their practice. We detail a theoretical framework for learning in PD that informs our rehearsal design. We then share evidence of secondary mathematics teachers’ improvements in classroom practice from a broader study examining their participation in a PD that featured the use of rehearsals and provide examples of the ways two teachers’ rehearsals of the practice of monitoring students’ engagement with mathematics corresponded to changes in their practice. We conclude with a set of considerations and revisions to our design and a discussion of the role of mathematics teacher educators in supporting teachers in expanding their practice toward more ambitious purposes for students’ mathematical learning.

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Jonee Wilson and Erin Smith

Instructional practices are often implemented in attempts to support multilingual learners. We discuss reasons that some of these well-intended practices may be problematic, and we share productive alternatives that we have observed in classrooms that effectively support multilingual learners.

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Corinne Thatcher Day

This hands-on task, featuring differentiation and open-ended learning, sets up students to discover area models for themselves. Organized around NCTM’s eight teaching practices from Principles to Actions, this article describes the task’s setup and implementation.

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Nicole Garcia, Meghan Shaughnessy, and D’Anna Pynes

Representing and recording student thinking in public spaces during mathematics discussions is challenging work. We share principles for recording student thinking in the moment and share an activity for improving your recording practice.

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Jennifer Ward and Victoria Damjanovic

This department provides a space for current and past PK–12 teachers of mathematics to connect with other teachers of mathematics through their stories that lend personal and professional support.

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Jon R. Star, Soobin Jeon, Rebecca Comeford, Patricia Clark, Bethany Rittle-Johnson, and Kelley Durkin

CDMS is a routine that allows teachers to organize instruction around students’ mathematical discussions and multiple problem-solving methods.

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Emiliano Gómez, Risa A. Wolfson, and Introduction by: Trena L. Wilkerson

When selecting mathematical tasks to use in professional development with teachers, in-service or preservice, I am always looking for ones that model effective teaching practices, give opportunities to dig deeply into mathematics, engage the learner in multiple ways, and can readily be used in the classroom. Although there are many to choose from, “Filling Bottles with Water" (Gómez and Wolfson 2012) from Mathematics Teacher, now 10 years old, is one I use that exemplifies all four characteristics.

EFFECTIVE TEACHING PRACTICES

When implementing this task, you see multiple effective teaching practices at play (NCTM 2014

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Deanna Pecaski McLennan

For the Love of Mathematics