Can You Build It? is an engaging Improve It! task that asks children to construct 3D shapes based on 2D depictions. Students' initial 3D creations often need revision, and as they build and re-build, they develop spatial relationships. This task was implemented in a first-grade class, connected to composing 3D geometric shapes to address the…

In this article, the authors provide some insight into how teachers can potentially facilitate among students' representations and activities on mathematical tasks: between or among -- (1) student representations and the context; (2) multiple forms of student representations; and (3) processes in student representations. The authors use the…

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 article provides a brief overview of the instructional strategy known as team-based learning (TBL). It then focuses specifically on the use of one of its integral components in a biblical studies classroom--namely, the "4S application task." The 4S application task, which is one of the fundamental pieces of the learning experience…

Although cognitive load (CL) and self-regulated learning (SRL) have been widely recognized as two determinant factors of students' performance, the integration of these two factors is still in its infancy. To further specify why and how CL links with SRL, we first conducted an overview to describe the multiple dimensions of cognitive load (i.e.,…

The Cell Phone modeling task centers on a Fermi real-world estimation question. The task and rubric can be used at different grade levels to focus on the modeling process and classroom community. Finding time and space to engage students, especially novice modelers, in mathematical modeling can be a challenge, yet the benefits of modeling are…

There is a substantial amount of literature focusing on the importance of culturally relevant teaching that emphasizes connecting the school's curriculum with the culture of students. This approach can be accomplished through the concept of ethnomathematics. Ethnomathematics studies how cultural groups practice and use math in daily activities…

Deliberation and inquiry can go hand-in-hand. Inquiry-based learning calls on teachers to facilitate student-led discovery, something that can only happen when students ask questions and weigh possible answers before settling on a plausible and evidentiary answer. Teaching through inquiry is about setting students up to wrestle with the issue at…

Mathematics education researchers suggest that it is important for teachers to select mathematics tasks that align with their goals for students; however, this can be challenging as there are many facets of alignment to consider. In this article, I present a rubric that details the alignment between tasks and learning goals. This rubric was…

In this paper duality between real world phenomenon and mathematics will be discussed. This duality exists for many years which considerably remarked in the history of mathematics curriculum. One of the good potential for filling the gap between real world phenomenon and mathematical ideas would be modelling tasks which require performing the…

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.…

The purpose of this article is to demonstrate how students' mathematics identities were developed and how their agency was fostered through the use of a mathematical action technology (MAT), Desmo, during stages of learning beyond noticing and wondering. The authors describe how they enacted an eighth-grade mathematics lesson depicting students…

Peer collaboration benefits second language (L2) learning and is a cornerstone of effective classroom instruction. It is, therefore, essential for teachers to consider how tasks work to promote peer collaboration and thus maximize learning. These considerations concern the task type, a task's inherent characteristics, and possible ways of task…

In this exercise, participants create a fictional business based on a set of randomly generated words. This challenge requires participants to exercise creativity, while reinforcing the business concepts learned in class. The exercise has four steps: (1) generating a prompt of three random words, (2) designing a fictional business based on this…

When one sets out to solve a mathematics problem, a feeling of satisfaction and accomplishment comes with finding the answer and knowing it is correct. In contrast, a student performing the correct process to solve an algebra equation and getting an answer such as 3 = 0 may be left perplexed and not understanding what--if anything--he or she did…