Students at the elementary level should have opportunities to critique the world through mathematics and to see themselves as capable doers of mathematics. The lesson described in this article prompted students to consider how to use mathematics to organize an emergency evacuation. In this article, the authors show how small changes to a task…

This paper explores the implementation of task-based language teaching (TBLT) at a military institution in the United States after face-to-face instruction transitioned to virtual mode with the onset of the pandemic in March 2020. The institution implemented TBLT before the pandemic. With the transition to the online mode, an online collaboration…

This paper studies the knowledge developed by a group of sixty-two pre-service primary teachers during a training session on the definition of a polygon and the mathematical practice of defining. We explore the knowledge developed by pre-service teachers when they carry out a series of training tasks oriented around the practice of defining with…

This article aims to outline the important role of the summary phase within a mathematics instructional model and provide six strategies to support teachers to move beyond "share time." By drawing upon good teaching strategies during the summary phase, teachers can enhance the learning experience for themselves and for their students.…

This article argues for the possibility and importance of infusing frame semantic insights into task-based lesson planning. "Frame semantics," a cognitive linguistic theory that takes a usage-based view of meaning, ties in with task-based language teaching (TBLT), which emphasizes second or foreign language learning through…

Technology can play a pivotal role in mathematics education. Qualitative methods were used to report on how a Year 1-2 teacher incorporated "Conveyance technology" (iPads), to support the teaching and learning of mathematics through student reasoning and problem-solving. The study was conducted in Australia. A single case was chosen,…

Key to developing equitable mathematics classrooms is educators making explicit connections to and building on the cultural, social, and linguistic contexts of diverse learners. The project "Weaving our knowledge together" focused on recognising and recording the mathematical funds of knowledge of young Pacific students, sharing this…

Children and adult learners benefit from viewing hand gestures at instruction across domains (Cook, Duffy, & Fenn, 2013; Huang, Kim, & Christianson, 2019; Ping & Goldin-Meadow, 2008). Within the domain of mathematical learning, gesture at instruction has been shown to benefit children and adults in laboratory and classroom settings…

This qualitative study explores how a group of preservice teachers make sense of task-based language teaching principles and characteristics, especially amidst remote instruction. We draw on the analysis of 13 preservice teachers' lesson plans and teaching guides as they transitioned from in-person to remote instruction during the COVID-19…

In response to increasing teacher interest in how to design and implement effective challenging tasks, James presents the Launch/Explore/Discuss model that builds on the work of leading Australian educators and researchers Peter Sullivan, Doug Clarke, and Charles Lovitt.

We examined high school geometry students' written work on four proof tasks where they posed a conjecture, drafted an argument, provided written critiques, then revised their argument based on peer feedback. Students' written work across the tasks was analyzed to determine whether the instructional sequence supported them in improving their…

Problems of developing subject education and science have become more acute during different social changes. The most problematic is the teaching of exact disciplines, including mathematical disciplines (mathematics, algebra, geometry), which form knowledge for working in high-tech industries. It is worth noting that the methodology of teaching…

This study investigated preservice teachers' (PTs) conceptions of how math is well-taught, their ability to design lessons that employ reform-based practices, and relations between their conceptions and lesson plans. We developed a survey and a rubric, in relation to the most recent standards and practices in U.S for the teaching and learning of…

One of the primary characteristics of the holistic module learning model is task-driven learning. In this learning model, a task is a distinct activity or collection of distinct activities designed to assist students in achieving learning objectives. The purpose of this paper is to examine the effective design and implementation of task-driven…

This case study demonstrates teaching and learning activities in the school laboratory, and employs talk moves for the direct assessment of practical task effectiveness. By adopting a sociocultural linguistic approach (SCLA), learning chemistry is understood to be a discursive process in which knowledge is constructed through social interaction…