The Asked & Answered department shares excerpts from discussion threads on the online MyNCTM community. In this issue, featured threads highlight responses to members' questions related to mathematical depth in preschool, spiral review in the upper elementary grades, ideas for differentiation in middle school, and projects for high school algebra.
The Asked & Answered department shares excerpts from discussion threads on the online MyNCTM community. In this issue, featured threads highlight responses to members' questions regarding 1st grade number sense, multiplication and division of fractions, issues of definition and precision related to circles, and the value of rationalizing denominators.
Imani Masters Goffney
Postscript items are designed as rich grab-and-go resources that any teacher can quickly incorporate into his or her classroom repertoire with little effort and maximum impact. Increase mathematical confidence by creating ways for students to show they are “smart” in math through Smartness Wordles™, collections of words in graphic representation.
Amy F. Hillen and Tad Watanabe
Conjecturing is central to the work of reasoning and proving. This task gives fourth and fifth graders a chance to make conjectures and prove (or disprove) them.
Allison B. Hintz
Teachers can foster strategy sharing by attending to the cognitive demands that students experience while talking, listening, and making mistakes.
Lisa A. Brooks and Juli K. Dixon
A second-grade teacher challenges the raise-your-hand-to-speak tradition and enables a classroom community of student-driven conversations that share both mathematical understandings and misunderstandings.
Tutita M. Casa
This instructional tool helps students engage in discussions that foster student reasoning, then settle on correct mathematics.
Capitalize on student thinking to create opportunities to further their mathematical reasoning.
Timothy S. McKeny and Gregory D. Foley
Engage children in literature to pique their interest in quantity concepts, develop their fluency in measurement processes, and establish their quantitative literacy.
Renee Parker and M. Lynn Breyfogle
This student-friendly rubric helped improve third graders' competencies when explaining solution strategies in writing.