From the Archives highlights articles from NCTM’s legacy journals, as chosen by leaders in mathematics education.
Jeff Gregg, Diana Underwood Gregg, and Introduction by: Melissa Boston
Corey Webel and Sheunghyun Yeo
In this article, we share results from a field experience model in which junior-year methods classes were held in an elementary school and preservice teachers (PSTs) worked with a single student (a “Math Buddy") on mathematics for 30 minutes per day. We focus on the development of PSTs’ skills for exploring children’s thinking and the structures and tools that we used to support this development. Data sources include screencast recordings of interactions with Math Buddies and written reflections completed by PSTs. Although the responsiveness of interactions varied across individuals and interactions, in general, PSTs showed improvements in exploring children’s thinking. We share implications of these findings for similar field experience models and for practice-based approaches to teacher education generally.
Tiara Hicks and Jonathan D. Bostic
We describe a formative assessment approach called whole-class think alouds, which foster evidence-based instructional practices and promote the goal of assessment to promote learning. They allow students to collaborate and orally communicate their problem solving.
The questions that teachers ask to elicit student reasoning—often referred to as press for reasoning—help students explicate the concepts and principles that undergird their strategies. This article describes the term, addresses its benefits and challenges, and offers three routines.
Juli K. Dixon, Treshonda Rutledge, Jennifer C. Caton, and Edward C. Nolan
Constraints for social distancing require teachers to find creative ways to engage students. Consider this fun strategy for exploring fraction equivalence, addition, and subtraction in a game environment where students use self-made or digital manipulatives.
Theresa J. MacVicar, Amy R. Brodesky, and Emily R. Fagan
A teacher uses formative assessment interviews to uncover evidence of students’ understandings and to plan targeted instruction in a mathematics intervention class. We present an example of a student interview, a discussion of the benefits and challenges of conducting interviews, and actionable suggestions for implementing them.
This article examines action research findings within a fourth-grade mathematics classroom. The researcher explores the effects of positive communication to family members on the engagement of learners receiving Tier 2 behavioral support, as well as potential considerations for building young learners’ mathematical identities.
Rui Kang, Sheri Johnson, Emily Lambert,, and Candi Davidson
Inspired by earlier articles on the classic drawing toy that targeted higher grade levels, the authors adopt and create activities that make Spirograph mathematics accessible to middle-grade learners.
LauraMarie K. Coleman
Struggling students engage in a scaffolded series of problems and learning experiences that provide access to grade-level content.
Susie Katt and Megan Korponic
This document contains the actual problems for April 2020.