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…

Although kindergarteners often are excited to share their mathematical ideas, they may not be sure how to explain the underlying reasoning that brought them to their answers. Teachers seeking to use literacy skills in mathematics to support kindergarteners' reasoning can use writing to provide each student an avenue to communicate their individual…

A growing body of research demonstrates the value of asking students to write about science for authentic purposes. But which purposes--and, just as importantly, whose purposes--count as authentic? In this theoretical article, we review several conceptions of authentic purpose drawn from science education and literacy education and use these to…

This paper discusses several linear algebra activities designed to help enhance students' skills in collaborating, exploring mathematics, and linking together abstract and visual ways of approaching mathematics. Most of these activities are short, accessible, engaging, and easy to incorporate into any classroom. In addition, we discuss some…

Assessing student knowledge based on their writing using traditional qualitative methods is time-consuming. To improve speed and consistency of text analysis, we present our mixed methods development of a machine learning predictive model to analyze student writing. Our approach involves two stages: first an exploratory sequential design, and…

Inoculation theory, which applies the biological concept of vaccination to misinformation, provides a range of ways to effectively build resilience against misinformation. In this article, we define and organize the various types of inoculation, which includes three delivery mechanisms that can be useful in the classroom--passive, active, and…

This study describes the thinking strategies and epistemological stances of two Bible experts, who applied a literary and historical interpretive approach, respectively. A thinking-aloud protocols methodology was used as the two scholars read the same biblical story and verbalized their thoughts. The findings reveal intricate relationships between…

Effect sizes are important because they are an accessible way to indicate the practical importance of observed associations or differences. Standardized mean difference (SMD) effect sizes, such as Cohen's d, are widely used in education and the social sciences -- in part because they are relatively easy to calculate. However, SMD effect sizes…

A highly authentic learning setting is likely to trigger positive motivational and emotional reactions due to its emphasis on promoting the acquisition of knowledge that is connected and transferable to real-world phenomena outside the learning environment. However, a high level of authenticity is usually accompanied by a high level of complexity…

Online learning and teaching, accelerated by the global pandemic and rapid advancement of digital technology, require novel conceptual and analytical tools to understand better the evolving nature of online teaching. Drawing on the classical model of the instructional triangle and previous attempts to extend it, we propose the "Instructional…

In this article I develop ideas for supporting character education through sociology and virtue ethics philosophy. A combination of Pierre Bourdieu's theory of habitus together with (neo) Aristotelian virtue ethics philosophy is used to promote a critical form of character education--one that accents the individual as well as the social context…

Online learning has provided pathways for access to flexible educational experiences, but can also feel isolating and impersonal, lacking authentic relationships with instructors and peers. Centering the discussion of humanizing distance education through the lens of three core pedagogical components of teaching and learning (i.e., instruction,…

Barlow et al. (2018) discussed three types of mistakes worthy of inspection: procedural errors, inappropriate solution processes, and misconceptions. Here, the authors focus on procedural errors, as these often led the teachers in their professional development project to limit their inspection of mistakes to correcting. Despite this narrow focus,…

In his work leading professional development, Peter Klosterman found that teachers specifically asked for help teaching optimisation more effectively. To address challenges students often experience solving optimisation problems, he explains useful pedagogical strategies to support the teaching of optimisation and student learning in this topic.

The past few decades have witnessed a remarkable surge of research interest in written corrective feedback (WCF). Given its pivotal role in the writing classroom, WCF has remained one of the most vibrant and dynamic areas for scholarly investigations. The aim of this article is to chart future directions for WCF research. To do this, it first…