We share ideas for preparing for and enacting high-cognitive demand tasks in ways that support students in articulating and justifying their ideas. We offer strategies for developing and posing several types of purposeful questions: (1) eliciting thinking, (2) generating ideas, (3) clarifying explanations, and (4) justifying claims.

This practice guide presents five recommendations intended to help educators improve students' understanding of, and problem-solving success with, fractions. Recommendations progress from proposals for how to build rudimentary understanding of fractions in young children; to ideas for helping older children understand the meaning of fractions and…

This study explores the use of video clips from teachers' own classrooms as a resource for investigating student mathematical thinking. Three dimensions for characterizing video clips of student mathematical thinking are introduced: the extent to which a clip provides "windows" into student thinking, the "depth" of thinking…

Mathematics concepts are most often taught using auditory, sequential instructional methods. Not only are these methods ineffective when used with visual-spatial learners, they may be detrimental to both academic and emotional progress. Ways in which visual-spatial learners process information are explained. One child's story is presented,…

Approximately 100 years ago, Clark Hetherington articulated the primary aims of physical education by identifying four separate areas: (1) psychomotor, which refers to motor skills; (2) organic, the fitness factor; (3) intellectual, or the cognitive component; and (4) character which refers to the affective domain. These categories can be used to…

This book examines learning science from multiple perspectives--especially a child's. The whimsical character of Mary Froggins guides readers through the steps of igniting students' natural sense of wonder, incorporating brain research, integrating science concepts with other subjects, and applying science to daily life. The authors demonstrate…

The purpose of this article is to provide teachers with examples of how to perform effective think-alouds. Twelve think-alouds are described. A rationale for their use in kindergarten through grade 5 is also included. In addition, this article was designed to provide teachers with lessons and activities to assist students in developing the ability…