This article models how to plan and facilitate implementing the same task in two sixth-grade classrooms with two different learning goals using the Five Practices structure.

A primary goal of ethnomodeling is to value, sustain, and in some instances introduce cultural practices and traditions that have often been lost or overshadowed because of an emphasis on modern methods (Orey & Rosa, 2010). Through an ethnomodeling task focusing on geometric transformations, the authors share a Model It! activity to engage…

These educators share the "how" and "why" behind their use of open middle tasks in the classroom. In this article, the authors share a type of mathematics task, called Open Middle, that exhibits the characteristics outlined above. The authors frequently use Open Middle tasks in their classrooms because they teach students that…

The study of mathematics is often described as the science of patterns (Resnik 1981), and the cognitive tasks involving the search, recognition, and assessment of patterns are fundamental to learning mathematics. Patterning activities lead students to a better understanding of dependent relations among representations, create a transparent way for…

What tales would students tell about their mathematical experiences? Are they stories of triumph, boredom, despair, exhilaration, or, perhaps, all of these emotions? How do teachers access these stories to understand students' experiences and build from them? In this article, the authors describe a task, The Math Metaphor, and how it was used in a…

This article discusses Experience First, Formalize Later (EFFL), an approach to teaching and learning that empowers students to build strong conceptual understanding of concepts, redefining how students experience mathematics class, and ultimately leading to more equitable learning opportunities. Traditional lecture-based models for mathematics…

Classroom stories show how using technology to investigate the wage gap provided opportunities to develop students' identities and agency and enabled a classroom culture of sharing and risk-taking. This article illustrates how technology can (a) support students' engagement in case-based reasoning by helping them organize and analyze data; (b)…

Technology will not inherently make students in any classroom more mathematically inquisitive, however, the use of technology can foster student-centered inquiry. This article explores the impact technology has on mathematics learning when it emphasizes the ways it supports student-centered pedagogies. Through this lens, the authors focus on…

An escape room can be a great way for students to apply and practice mathematics they have learned. This article describes the development and implementation of a mathematical escape room with important principles to incorporate in escape rooms to help students persevere in problem solving.

What is a teacher to do when students share an idea with underlying mathematics that is different from that of the student contribution being discussed? Could such situations be avoided to begin with? In this article, the authors share strategies that can help teachers better keep the mathematics related to the student contribution under…

SCAMPER is an acronym that stands for Substitute, Combine, Adapt, Modify, Put to Another Use, Eliminate, and Rearrange (Eberle 1972). Each word in the acronym is related to a question stem designed to prompt creative thinking about a given topic (Flannagan and Sawyer 2015). Using these question stems requires students to systematically think…

Generalizing patterns is an important feature of algebraic reasoning that is accessible to students across grade-levels because it connects their numerical reasoning to algebraic reasoning. In this article, the authors describe how teachers can use the game Crack the Code to introduce generalizing to their students or can extend students'…

Off You Go is a PK-12 mathematical routine that leverages children's home resources and assets to help students take a concept with which they have initial or informal understanding and explore and test its boundaries to support defining or estimating with precision. The authors provide a guide for how to adapt this routine to engage students at…