● Anticipating students' solutions to a mathematics task ● Monitoring students' in-class, “real-time” work on the task ● Selecting approaches and students to share them ● Sequencing students' presentations purposefully ● Connecting students' approaches and the underlying mathematics. These 5 manageable practices have the power to put teachers in control of productive classroom discussions.

In this English Journal article, Bardine et al. apply research on teacher commenting practices (e.g., appearance comments vs. function comments) to the experiences of student writers in the secondary English classroom. They offer suggestions about how to use comments and response to writing more effectively to support student learning in the classroom.

Students see that geometric transformations—dilation and translation—correspond to algebraic parameters—m and b—in the familiar equation for a linear function.

Five manageable practices have the power to put teachers in control of productive classroom discussions.

A comprehensive and coherent set of mathematics standards for each and every student from prekindergarten through grade 12, Principles and Standards is the first set of rigorous, college and career readiness standards for the 21st century. Principles and Standards for School Mathematics outlines the essential components of a high-quality school mathematics program. It emphasizes the need for well-prepared and well-supported teachers and administrators, and it acknowledges the importance of a carefully organized system for assessing students’ learning and a program’s effectiveness. Principles and Standards calls for all partners—students, teachers, administrators, community leaders, and parents—to contribute to building a high-quality mathematics program for each and every student.

Describes Effective Mathematics Teaching Practices as well as guiding principles which include curriculum and assessment. National Council of Teachers of Mathematics (2014)

Continuing its tradition of mathematics education leadership, NCTM has undertaken a major initiative to define and describe the principles and actions, including specific teaching practices, that are essential for a high-quality mathematics education for all students.