Effective mathematics teaching practices include not only probing student thinking and selecting student strategies to share but also facilitating discourse and encouraging reflection about important mathematical ideas (National Council of Teachers of Mathematics [NCTM], 2014, pp. 36-37). Encouraging students to use precise academic vocabulary to…

Mathematical modeling tasks can engage students in ways in which they see themselves as mathematicians capable of using mathematics to solve real-world and complex problems. As mathematics teacher educators and researchers, the authors collaborated with two 5th-grade teachers, Liz and Anna (pseudonyms), focusing on equitable practices that foster…

Science and engineering practices (SEPs) and crosscutting concepts (CCs) constitute a significant part of "A Framework for K-12 Science Education" (NRC 2012). As teachers, the role of the authors is to highlight the pivotal role that both scientific knowledge and the practices used to generate knowledge play in learning. This article…

Children are having fewer embodied social interactions outside (Haidt, 2024). Thus, there is a need to create embodied activities that turn students' attention to each other and nature (Barwell et al., 2022) and that build from their interests (Frankenstein & Powell, 2023). Using a socio-ecological framework that centers on relationships among…

Performing music is one of the fundamental processes of music education. A musical performance includes not only singing or playing accurate notes and rhythms but also making interpretive decisions to convey music expressively. The author researched to find out the best strategies for developing expressive performance, and then created a lesson…

Little is available in mathematics education research about what the teacher can anticipate from the students when applying inquiry-based learning (IBL). Even less is known about how to recognize and exploit on the spot when a mathematical domain, other than the one in focus, is activated in the students' minds. Yet, in tests, in everyday life,…

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,…

After years of noticing the challenge our students have with fraction operations, we decided to implement a scaffold approach that focuses on using benchmarks to better develop both students' understanding of a fraction as a quantity and their ability to think about fraction operations meaningfully. While we found this approach supported students…

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"…

Integrating scientific disciplines through a transdisciplinary approach is a pivotal component of contemporary learning paradigms, fostering educational experiences that transcend monodisciplinary boundaries and embrace the integration of diverse fields. Addressing this imperative, we collaborated with educators in Indonesia to devise a learning…

This article is guided by a commitment to equitable, affirming, child-centered literacy education, and the belief that student-led inquiry can be embraced within schools since this is an authentic way for children to learn about their world. This article describes how elementary educators can use an inquiry-based researcher's workshop to integrate…

These educators share the "how" and "why" behind their use of open middle tasks in the classroom. In this article, the authors share a type of mathematics task, called Open Middle, that exhibits the characteristics outlined above. The authors frequently use Open Middle tasks in their classrooms because they teach students that…

The National Council of Teachers of Mathematics's "Principles to Actions" (NCTM, 2014) cites posing purposeful questions and eliciting and using evidence of student thinking as effective mathematics teaching practices. Interviewing students creates opportunities for teachers to develop these practices. Through interviewing, they can try…

This article describes the two types of reasoning in fraction conceptions that students often use, "gap" and "missing piece," and one that the authors aspire their students to reach, "residual." Each of these types of reasoning are underpinned by a different conception of fractions. Students who use "gap…

This article reports on a case study from a larger project exploring ways in which online citizen science projects can enhance students' learning in science and in digital technology. In this case, two teachers integrated the digital technology curriculum with the science capability "interpreting representations" using the engaging…