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## Visualizing Mathematics Through Knitting

The author uses mathematical concepts to inform her knitting. Her knitting also helps her to experience mathematical concepts in new ways.

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## Integrating Machine Learning in Mathematics Classrooms

Explore a lesson in which students used conditional probability to conjecture a predictive text algorithm, which, if translated into a coding language, could teach a computer to predict what a user wants to type, given the previous words in a message.

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## Cakes, Cookies, and Gumballs, Oh My!

First graders learn about artist Wayne Thiebaud and explore estimation, counting, and probability while creating an artistic masterpiece.

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## GPS: From Combinations to Probability

Growing Problem Solvers offers 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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## GPS: Gopher Tunnel Probability

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## GPS: Spring Frogs

April 2020's GPS department provides tasks for each grade band that invite students to reason with age-appropriate number theoretic concepts.

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## GPS: From Folding to Dynamic Geometry Environments

In this month's Growing Problem Solvers, we focused on supporting students' understanding of congruence and similarity through rigid motions and transformations. Initial understandings of congruence and similarity begin in first grade as students work with shapes in different perspectives and orientations and reflect on similarities and differences.

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## Problems to Ponder

Problems to Ponder provides 28 varied, classroom-ready mathematics problems that span grades PK-12, arranged in order of grade band. Links to the problem answers are available in this department.