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## Connecting and Using Multiple Representations

Learn how to use and connect representations with lessons on linear functions.

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## Teaching Human Rights through Mathematics

Human Rights Education, or HRE, can be applied to allocation of scarce resources, such as food production.

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## Connecting Representations: Using Predict, Check, Explain

Although educators agree that making connections with the real world, as advocated by Principles to Actions: Ensuring Mathematical Success for All (NCTM 2014), is important, making such connections while addressing important mathematics is elusive. We have found, however, that math content coupled with the instructional strategy of predict, check, explain can bridge such real-world contexts. In so doing, this procedure supports the research-informed teaching practices of using evidence of student thinking and aiding meaningful mathematical discussion.

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## All Talk and More Action

Students' understanding of proportional relationships become apparent during an algebra project that focuses on constructing mathematical arguments.

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Consider four important elements of setting up challenging mathematics problems to support all students' learning.

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## Quick Reads: Posters: More Than Just for Looks

### a good idea in a small package

Posters, commonly employed for decoration, can be used to introduce and practice new concepts and help assess student learning.

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## Table Techniques

There is a distinction between using technology as a tool for doing mathematical tasks and using it to develop conceptual understanding (Dick and Hollebrands 2011). In this article, the table feature of the TI-84 Plus graphing calculator is used in the second role, enabling students to participate in the reasoning and sense-making process. This article showcases four classroom activities that use tables as a dynamic tool for inquiry, applying numerical representations to algebraic, graphical, and geometric phenomena. Although these activities are presented using the TI-84 Plus CE graphing calculator, other calculator and computer platforms can be employed; see the Teacher Guide in more4U for details.

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## It's a Bird, It's a Plane, It's a Dilated Superhero

The more connections that students can make between mathematical content and the real world, the better they will become at developing critical thinking and understanding mathematics. This lesson on exploring geometric dilations encourages small cooperative-group critiques and connections to an abundance of middle school math concepts. Graphing proportional relationships and finding the constant of proportionality are big ideas in middle school mathematics. This two-part lesson connects these ideas and many more Common Core State Standards (CCSSI 2010) through fun, student-driven activities.

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## Spaghetti Bridges: Modeling Linear Relationships

Mathematics and science are natural partners. One of many examples of this partnership occurs when scientific observations are made, thus providing data that can be used for mathematical modeling. Developing mathematical relationships elucidates such scientific principles. This activity describes a data-collection activity in which students employ the scientific method to explore the relationship between the number of spaghetti strands making a “bridge” and the weight that the bridge can support. Students will make qualitative predictions about relationships between variables and write linear equations to represent their data.

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## Back-Pocket Strategies for Argumentation

New teachers can immediately begin using these classroom-tested ways to incorporate mathematical argumentation in their classrooms on a daily basis.