Mathematical concepts have been a consensus goal for decades, yet there is little consensus on what is meant by the terms "mathematical concept" and "mathematical understanding." This article attempts to discuss these terms in a way that can be of practical use to teachers. Greater clarity on "mathematical concept"…

In this paper, we introduce a new interpretive framework, which we call Bodymarking, to aid in describing and interpreting activity (e.g., individuals' gestures, gaze, and interaction with materials in the environment) in the classroom. We apply the framework to video recordings of mathematics lessons to explain how it can be used and offer some…

Preschoolers are fascinated with dinosaurs, and they often have a wealth of knowledge about numerous dinosaur species. The authors capitalized on this interest by creating a three-dimensional 5E lesson (Engage, Explore, Explain, Elaborate, Evaluate; Bybee 2014) to introduce them to the science practice of modeling. Models are important as tools of…

Educators constantly hear the mantras "develop relationships with students" or "add a personal touch"? They know they will be better teachers if they connect with their students, but how can they if their students come from very different backgrounds than they do? How do educators find common ground? The common ground is the…

Revisiting the seminal 2010 Nolan and Temple Lang article on the role of computing in the statistics curricula, we discuss several trends that have emerged over the last ten years. The rise of data science has coincided with a broadening audience for learning statistics and using computational packages and tools. It has also increased the need for…

The tension between teachers' desires to instill independence in students, and students' desires for teachers to provide answers, is a complex one. This article explores a lesson that, with virtually no guidance from the teacher, enhances student independence, engagement, and insight.

Differentiating instruction can be difficult, however, when higher performing students yearn to be stretched and lower performing students benefit from scaffolded support. One way to meet these students' learning needs and everyone in-between is to embrace the notion of novel exploration in support of critical school mathematics concepts. Novelty…

The dramatic increase in hate-related bullying and culturally and/or racially offensive comments or symbols in the wake of the 2016 election came as a surprise for many educators across the United States. Research points to both an increase in frequency of hate related speech and controversy in schools, and teachers reporting a lack of training,…

Purpose: This tutorial describes a comprehensive approach to the development of collaborative academic conversations in older students with language delays and impairments. Support materials including a link to an instructional video are provided. Conclusions: These students require systematic, explicit instruction to develop competence and to…

Language in education for children and youth from low-income communities of color, including those learning English as an additional language, has been fraught for decades with ideological entanglements, conceptual ambiguities, and empirical limitations. Meanwhile, the teacher learning challenge to implement equitable teaching practices remains…

For English language learners (ELLs) to productively engage in classroom discussions that foster language development, content knowledge, and analytical practices, teachers must create a trusting classroom culture. How do we ensure that all ELLs have opportunities to productively use oral language in academic settings? And how do we ensure that…

We illustrate an analytic framework for teachers' mathematics discourse in instruction (MDI). MDI is built on three interacting components of a mathematics lesson: a sequence of examples and related tasks; accompanying talk; patterns of interaction. Together these illuminate what is made available to learn. MDI is grounded empirically in…

In this article we describe current educational research underlying a comprehensive model for building a scientific classroom discourse community. We offer a professional development activity for a school-based professional learning community, providing specific science instructional strategies within this interactive teaching model. This design…

During the last several years as a teacher educator mentoring new teachers, the author has worked on two programs of research that included ways of focusing early-career teachers on students and their learning. These research programs shed light on needs of new teachers and ways mentor questioning and processes of classroom inquiry can have an…

Communicative approach has become popular in ELT in recent years. Good teacher talk lays focus on how effectively it could promote genuine communication in the classroom. In this essay, communicative teacher talk is studied, and its features are explored based on authentic classroom transcripts, and a summary of the existing problems is provided.