Productive struggle is an essential part of mathematics instruction that promotes learning with deep understanding. A video scenario is used to provide a glimpse of productive struggle in action and to showcase its characteristics for both students and teachers. Suggestions for supporting productive struggle are provided.
Katherine Baker, Naomi A. Jessup, Victoria R. Jacobs, Susan B. Empson and Joan Case
Sandra M. Linder and Amanda Bennett
This article presents examples of how early childhood educators (prek-2nd grade) might use their daily read alouds as a vehicle for increasing mathematical talk and mathematical connections for their students.
Julie M. Amador, David Glassmeyer and Aaron Brakoniecki
This article provides a framework for integrating professional noticing into teachers' practice as a means to support instructional decisions. An illustrative example is included based on actual use with secondary students.
Angela T. Barlow, Natasha E. Gerstenschlager and Shannon E. Harmon
Three instructional situations demonstrate the value of using an “unknown” student's work to allow the advancement of students' mathematical thinking as well as their engagement in the mathematical practice of critiquing the reasoning of others.
Katherine E. Lewis
Mathematical learning disability (MLD) research often conflates low achievement with disabilities and focuses exclusively on deficits of students with MLDs. In this study, the author adopts an alternative approach using a response-to-intervention MLD classification model to identify the resources students draw on rather than the skills they lack. Detailed diagnostic analyses of the sessions revealed that the students understood mathematical representations in atypical ways and that this directly contributed to the persistent difficulties they experienced. Implications for screening and remediation approaches are discussed.
Lauren J. Rapacki and Dionne I. Cross Francis
Share a teacher's ultimately empowering experience of transitioning into an ill-defined, unanticipated leadership position.
Sara Eisenhardt, Molly H. Fisher, Jonathan Thomas, Edna O. Schack, Janet Tassell and Margaret Yoder
Appreciate the complexity of counting and adding skills by viewing them through the lens of an early numeracy progression.
Shiv Karunakaran, Ben Freeburn, Nursen Konuk and Fran Arbaugh
Preservice mathematics teachers are entrusted with developing their future students' interest in and ability to do mathematics effectively. Various policy documents place an importance on being able to reason about and prove mathematical claims. However, it is not enough for these preservice teachers, and their future students, to have a narrow focus on only one type of proof (demonstration proof), as opposed to other forms of proof, such as generic example proofs or pictorial proofs. This article examines the effectiveness of a course on reasoning and proving on preservice teachers' awareness of and abilities to recognize and construct generic example proofs. The findings support assertions that such a course can and does change preservice teachers' capability with generic example proofs.
Laurie O. Cavey and Margaret T. Kinzel
An instructional sequence used in a course for prospective teachers directly relates to Common Core State Standards for grades 3–6.
Maggie B. McGatha and Jennifer M. Bay-Williams
This guide will support teacher leaders who work to cultivate classrooms where developing mathematical practices is a daily, intentional goal.