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## GPS: How Does It Grow?

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

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## Promoting Generalizing in Algebra Class

Teachers can use a pattern task to promote and foster generalizing in the mathematics classroom, presenting opportunities to build on students’ thinking and extending ideas to new contexts.

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## “Linear and Quadratic Change: A Problem from Japan”

From the Archives highlights articles from NCTM’s legacy journals, as chosen by leaders in mathematics education.

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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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## “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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## GPS: Distributive Property throughout the Grades

Growing Problem Solvers provides four original, related, classroom-ready mathematical tasks, one for each grade band. Together, these tasks illustrate the trajectory of learners’ growth as problem solvers across their years of school mathematics.

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## Parameters, Sliders, Marble Slides, Oh My!

Three different technological activities to explore parameters of quadratic functions each has its own pros and cons.

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## Promoting Inquisitiveness

A third-grade subtraction exploration in a learning community adds curiosity, productive struggle, discourse, engagement, and fun.

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## The Opportunities of No-Solution Problems

When students encounter unusual situations or exceptions to rules, they can become frustrated and can question their understanding of particular topics. In this article, I share some practical tips.

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## Visualizing Complex Roots of a Quadratic Equation

A quadratic equation was the basis for activities involving both concrete and technological representations.