We contribute to the understanding of teacher noticing by focusing on what a teacher may notice in students' mathematical contributions in the context of problem-based lessons. Complementing approaches to research on noticing that focus on individual teachers' perceptual, cognitive, or situated skills, this conceptual article offers four…

The hammer-and-nail phenomenon highlights human tendency to approach a problem using a tool with which one is familiar instead of analyzing the problem. Pedagogical suggestions are offered to help students minimize their mathematical impulsivity, cultivate an analytic disposition, and develop conceptual understanding.

This brief provides an overview of how to identify and determine why a student may be avoiding or refusing to attend school, and ways that schoolwide positive behavioral interventions and supports (PBIS) teams can help to assess and address school refusal. We will introduce a research-based framework to engage in problem-solving to better support…

The introduction of auxiliary elements as a method of solving problems in high-school geometry is considered here from two perspectives: first, to elicit recalling some known result or concretizing a definition and, second, as a means of shifting the focus and structure of the students' attention. We present and compare various examples of how…

Collaborative learning requires a lot of talk. Although not all student talk may be related to the task at hand, some off-task talk is actually productive, as it enables students to negotiate how they will work together, gain attention of fellow group members, and draw others into joining the work. Emma C. Gargroetzi, Rosa D. Chavez, Jen Munson,…

Mathematical paradoxes often produce awe and wonder in the mathematics classroom. In this classroom episode, I share a paradoxical task, based on Simpson's Paradox, and its power as an intervention for a child diagnosed with ADHD. The Paradox leveraged his strengths to help him build understandings in proportional reasoning.

When students are working together, some off-task conversations actually smooth the way to working together more effectively. While many assume that off-task talk is unproductive, our study revealed that students used off-task talk predominantly for productive purposes. We found that off-task talk supported student access to collaboration, and…

Too often, professional development (PD) sessions consist of little more than delivering lists of things teachers should know and should be doing. There is little to no follow up. There are few opportunities to think about how to adapt and apply the learning to fit your own classroom context, or to try it out and compare outcomes with fellow…

During early childhood, practitioners and family members are often tasked with determining optimal approaches to support social skill development in young children with developmental disabilities in inclusive and self-contained settings. Eight different evidence based approaches are highlighted (social narratives, scripting, pivotal response…

Art has the capacity to engage exceptional learners, regardless of the nature of their exceptionalities. Students who experience difficulty with academic subjects may enjoy visual art activities with which they engage holistically to learn problem-solving skills and interact positively with their environment, including the social environment of…

After children have witnessed domestic violence, the lingering trauma can undermine their ability to learn and succeed in school. With the right classroom strategies, however, teachers can help students relieve stress, reengage in the curriculum, stay focused and organized, attend to tasks, and reestablish relationships.

Self-regulated learning (SRL) is a conceptual model that can be used to design and implement individualized learning strategies for students with learning disabilities. Students who self-regulate their learning engage in planning, performance, and self-evaluation during academic tasks. This article highlights one approach for teaching SRL skills…

Elena has a psychiatric disability: bipolar (manic/depressive) disorder. Daniele suffers from depression. Both are serious cognitive disorders that have significant effects on learning, especially learning online. One of the problems students with psychiatric disabilities encounter is finding support in online environments, especially when 10, 50,…

This paper addresses issues of using computer technology to support in-classroom teaching and learning regarding one of the most frequent problems in such scenarios: the students' attention. First, it presents the distraction and focus of attention problems that arise while using computer technology with off-the-shelf software for supporting…

Recent research in cognitive neuroscience has yielded a more comprehensive understanding of brain function. Some of these diagnostic techniques include the event-related potential, which depicts brain electrical activity, and magnetic resonance imaging and positron emission tomography, which are particularly sensitive to the delineation of brain…