Children explore concepts of capacity and height measurement through sand play in nursery class.

# Browse

## Exploring Young Children’s Math Thinking in Sandcastle Building

### Hannah Tan and Cynthia Lim

## Let’s Give Them Something to Talk About

### Nicola M. Hodkowski and Carolyn Carhart-Quezada

Different types of open tasks can be used as a tool to promote rigorous student mathematical discourse and considerations for facilitation.

## Reconsidering Mathematical Authority

### Michael D. Hicks, Jessica Pierson Bishop, Christina Koehne, and Mai Bui

Who has mathematical authority in your classroom, and what does authority look like? Find out different ways you can help students gain authority.

## Ways to Help Students Become Powerful Mathematical Thinkers

### Alan H. Schoenfeld

Ear to the Ground features voices from several corners of the mathematics education world.

## Build It! The Rectangle Game

### Theresa Wills, Jennifer Suh, Kate Roscioli, Amanda Guzman, Jennifer Everdale, and Sandra Lee

Discover technology-enhanced, game-based tasks and student generalizations.

## Discuss It! Collaborating on the Tortoise and Hare Task

### K. Ann Renninger, Maria Consuelo De Dios, Annie Fetter, Maeve R. Hogan, Moe Htet Kyaw, Ana G. Michels, Marina Nakayama, Richard Tchen, Stephen A. Weimar, Helena Werneck de Souza Dias, and Feven Yared

The authors share an online collaborative problem-solving activity that integrates support for students’ developing conceptual understanding, focused engagement, and positive feelings of agency and identity.

## Imagine It! Choose Your Own Pattern Block Adventure

### Anita A. Wager, Brittany Caldwell, and Jamie Vescio

When given the opportunity to play with mathematical materials and ideas, children demonstrate their mathematical understanding in innovative ways.

## Designing for Sensemaking of Research: The Mathematics District Leader Research Group

### F. Paul Wonsavage

In this article, I share a design-based research intervention meant to help mathematics district leaders build their capacity to engage with research quality. I present my design (i.e., principles, key features, and intervention structure) and elaborate on how the features of the design allowed for mathematics district leaders’ sensemaking of educational research quality, especially regarding the process for collecting data and research implications. I conclude with recommendations for mathematics teacher educators on how they might adapt my design to their contexts.

## Developing Multilingual Learners’ Mathematics Reasoning and Register

### Richard Kitchen, Libni B. Castellón, and Karla Matute

By examining some of Ms. Hill’s instructional moves, we demonstrate how a fifth-grade teacher simultaneously developed her multilingual learners’ mathematical reasoning and mathematics register.

## Exploring Prospective Teachers’ Development of the Cartesian Form of Complex Numbers

### Gülseren Karagöz Akar, Merve Saraç, and Mervenur Belin

In this study, we investigated prospective secondary mathematics teachers’ development of a meaning for the Cartesian form of complex numbers by examining the roots of quadratic equations through quantitative reasoning. Data included transcripts of the two sessions of classroom teaching experiments prospective teachers participated in, written artifacts from these teaching sessions, and their answers to pre-and-post written assessment questions. Results point toward prospective teachers’ improved meanings regarding the definition of complex numbers and the algebraic and geometrical meanings of the Cartesian form of complex numbers. Implications for mathematics teacher education include providing specific tasks and strategies for strengthening the knowledge of prospective and in-service teachers.