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Conditional Reasoning Online with Mastermind

As mathematical patterns become more complex, students' conditional reasoning skills need to be nurtured so that students continue to critique, construct, and persevere in making sense of these complexities. This article describes a mathematical task designed around the online version of the game Mastermind to safely foster conditional reasoning.

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Investigating Using Lesson Study

Our middle school mathematics department used lesson study to investigate how to introduce fractions division to our sixth-grade students. We highlight our learnings during the Study and Plan phases, describe our observations during the lesson, and provide tips for educators interested in using lesson study to study their own content.

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Mathematizing Multilevel Marketing

This article dives into the importance of engaging students in investigating the mathematics of businesses that pressure their members to recruit new members as a basis for success, also referred to as multi-level marketing (MLM). The mathematics behind these businesses are discussed, and a sample student task is given.

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PD For Your Earbuds: Making a Math Moments That Matter Podcast

Wondering how to create a classroom culture where students don't want to stop exploring mathematics when the bell rings? We were too and that's why we teammed up to uncover how we can Make Math Moments That Matter for every student in the math classroom with a weekly podcast.

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Discourse Actions to Promote Student Access

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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Giving Birth to Inferential Reasoning

Too often, statistical inference and probability are treated in schools like they are unrelated. In this paper, we describe how we supported students to learn about the role of probability in making inferences with variable data by building models of real world events and using them to simulate repeated samples.

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Leveraging Read Alouds for Mathematical Connections

This article presents examples of how early childhood educators (prek-2nd grade) might use their daily read alouds as a vehicle for increasing mathematical talk and mathematical connections for their students.

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Supporting Teacher Learning through “Sketching Standards”

K-5 teachers deepen their understanding of the Common Core content standards by engaging in collaborative drawing activities during professional development workshops.

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Then: Technological Evolutions in the Mathematics Classroom

Technological tools for mathematics instruction have evolved over the past fifty years. Some of these tools have opened the door to explorations of new mathematics. Features of others have made access to curricular mathematics more convenient. Thoughts on this evolution are shared.

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Area-Preserving Transformations: Cavalieri in 2D

A 2D version of Cavalieri's Principle is productive for the teaching of area. In this manuscript, we consider an area-preserving transformation, “segment-skewing,” which provides alternative justification methods for area formulas, conceptual insights into statements about area, and foreshadows transitions about area in calculus via the Riemann integral.