Learn about strategies and tools to examine and improve your practice with respect to fostering equitable small-group, student-to-student discourse.
S3D: Small-Group, Student-to-Student Discourse
Sarah Quebec Fuentes
Math Chat Opportunities Abound!
This article describes how fortuitous mathematical moments should be noticed, encouraged, embraced, and capitalized upon.
Student Engagement with the “Into Math Graph" Tool
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.
Discourse Actions to Promote Student Access
Amber G. Candela, Melissa D. Boston, and Juli K. Dixon
We discuss how discourse actions can provide students greater access to high quality mathematics. We define discourse actions as what teachers or students say or do to elicit student contributions about a mathematical idea and generate ongoing discussion around student contributions. We provide rubrics and checklists for readers to use.
Mathematical Explorations: A New Twist on Collaborative Learning
Stephanie M. Butman
Research on students' learning has made it clear that learning happens through an interaction with others and through communication. In the classroom, the more students talk and discuss their ideas, the more they learn. However, within a one-hour period, it is hard to give everyone an equal opportunity to talk and share their ideas. Organizing students in groups distributes classroom talk more widely and equitably (Cohen and Lotan 1997).
For ELLs: Vocabulary beyond the Definitions
Nancy S. Roberts and Mary P. Truxaw
A classroom teacher discusses ambiguities in mathematics vocabulary and strategies for ELL students in building understanding.
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.
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.
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).