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Ruthmae Sears

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

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Josephine Derrick, Joe Champion, and Ramey Uriarte

A new classroom-tested lesson was designed to engage students in the joy of mathematical inquiry through a game, while building number sense, understanding of uncertainty, statistical reasoning, and discourse skills.

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Katherine N. Vela, Michelle Parslow, Rita Hagevik, and Kathy Cabe Trundle

A real-world integrated activity allows middle school students to design a scale drawing for a garden at their school.

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Paula Beardell Krieg

An artist uses graphic tools and circles to illuminate the illusive concept of the golden ratio.

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Justin Johns and Chris Harrow

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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Marina Basu, Karen Koellner, Jennifer K. Jacobs, and Nanette Seago

This set of tasks progressively engages students in geometric proportional reasoning.

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A. Susan Gay, Jeanine Haistings, and Jason L. Rucker

The authors describe a fourth-grade lesson that promotes understanding of angle as a dynamic figure through use of a real-world tool used by physical therapists to measure joint motion.

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Nasim Chenari

This article describes how fortuitous mathematical moments should be noticed, encouraged, embraced, and capitalized upon.

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Amanda L. Cullen

In 2018, NCTM published the first of three books in their Catalyzing Change series. Across the three texts, they call for the dismantling of all forms of inequitable grouping structures from early childhood and elementary school (NCTM 2020a) to middle school (NCTM 2020b) and high school (NCTM 2018). NCTM (2020a) asserted—

Any ability grouping in mathematics education is an inequitable structure that perpetuates privilege for a few and marginality for others. Ability grouping practices often occur with good intentions; we want to understand children’s learning needs and then tailor the content,

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Joshua David Jones

To be literate in a society where the information shared online is often exploited, learners should be exposed to multiple aspects of contemporary predictive modeling. Explore a lesson in which students learned an algorithm used in practice to automate the process of making recommendations.