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Douglas H. Clements, Shannon S. Guss, and Julie Sarama

Learning trajectories help teachers challenge children at just the right level for their best learning.

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Amanda K. Riske, Catherine E. Cullicott, Amanda Mohammad Mirzaei, Amanda Jansen, and James Middleton

We introduce the Into Math Graph tool, which students use to graph how “into" mathematics they are over time. Using this tool can help teachers foster conversations with students and design experiences that focus on engagement from the student’s perspective.

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LouAnn H. Lovin

Moving beyond memorization of probability rules, the area model can be useful in making some significant ideas in probability more apparent to students. In particular, area models can help students understand when and why they multiply probabilities and when and why they add probabilities.

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Amy Noelle Parks

Children experience joy in well-designed mathematics classrooms. This article describes five research-based practices for bringing joy into PreK-Grade 2 math lessons.

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Sydney M. Holbert and Angela T. Barlow

To support all students in meeting the Common Core's Standards for Mathematical Practice, consider the key features of tasks without words.

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Jo Anny Cady, Thomas E. Hodges, and Clara Brown

Incorporating these instructional practices for two mathematical tasks into lessons to support English learners gives them access to an excellent, equitable program.