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GPS: Teaching Shapes Inclusively

Samuel Otten, Tiffany J. LaCroix, Faustina Baah, and Rebekah Hanak

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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Puddle Play!

Deanna Pecaski McLennan

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Developing the Area of a Trapezoid

Agida G. Manizade and Marguerite M. Mason

When calculating the area of a trapezoid, students use a range of problem-solving strategies and measurement concepts.

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Bird Boxes Build Content Area Knowledge

Sherri Ann Cianca

Communicating reasoning and constructing models fold nicely into a geometry activity involving the building of nesting boxes.

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Improving Student Reasoning in Geometry

Bobson Wong and Larisa Bukalov

Parallel geometry tasks with four levels of complexity involve students in writing and understanding proof.

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Capturing Thinking on the Talk Frame

Tutita M. Casa

This instructional tool helps students engage in discussions that foster student reasoning, then settle on correct mathematics.

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Informing Practice: Examples as Tools for Constructing Justifications

research matters for teachers

Kristen N. Bieda and Jerilynn Lepak

Research explores how to help students build from, instead of building with, examples when justifying mathematical ideas.

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Student-Generated Questions in Mathematics Teaching

Colin Foster

Exploring even something as simple as a straight-line graph leads to various mathematical possibilities that students can uncover through their own questions.

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Proofs without Words: A Visual Application of Reasoning and Proof

Carol J. Bell

Reasoning and Proof is one of the process standards set forth in NCTM's principles and standards for school mathematics (2000).