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Developing Skills with Visual Representations

This article describes how visual representations can help develop students’ reasoning and proof skills.

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Exploring Relative Size with Relative Risk

The Relative Risk Tool web app allows students to compare risks relating to COVID-19 with other more familiar risks, to make multiplicative comparisons, and to interpret them.

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Revising Word Problems to Address UDL and Standards

Mathematics assessments should allow all students opportunities to demonstrate their knowledge and skills as problem solvers. Looking at textbook word problems, we share a process for revising them using Universal Design for Learning.

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Take a Seat at the Equation Café

Design projects to encourage your students’ self-efficacy and motivate mathematics learning by helping them apply their prior knowledge from real-world experiences.

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Promoting Precision in a Virtual Environment

The application of exact terminology benefits students when forming and supporting mathematical arguments virtually.

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Problems to Ponder

Problems to Ponder provides 28 varying, classroom-ready mathematics problems that collectively span PK–12, arranged in the order of the grade level. Answers to the problems are available online. Individuals are encouraged to submit a problem or a collection of problems directly to mtlt@nctm.org. If published, the authors of problems will be acknowledged.

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“Counting” on Quantitative Reasoning for Algebra

Use this approach to developing algebraic identities as a generalization of combinatorial and quantitative reasoning. Secondary school students reason about important ideas in the instructional sequence, and teachers consider newfound implications for and extensions of this generalization in secondary algebra curricula.

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Pack a Truck: Decontextualizing and Contextualizing a Task

We describe how a group of eighth-grade students reasoned abstractly and quantitatively after the teacher fostered their engagement by using moves such as inviting students to draw and revoicing talk in a real-world context task.

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Dominoes: Promoting Units Construction and Coordination

In this article, we explore how playing with dominoes not only requires students to count but also to subitize when constructing number and operations.