Significant research in science and mathematics education should advance the field's knowledge and understanding of the teaching and learning of science and mathematics. How, then, should the significance of a research question in science and mathematics education be assessed? And, when disseminating the findings of research, how should the…

Task design is an important element of effective mathematics teaching and learning. Past research in mathematics education has investigated task design in mathematics education from different perspectives (e.g., cognitive and cultural) and offered a number of (theoretical) frameworks and sets of principles. In this study, through a narrative…

While race, class, and gender are often treated as well-defined and static identities within mathematics education research, we explore gender, race and class as performances through the case of a middle school Black girl, Cameryn. Scenes from video artifacts are deconstructed using a hermeneutic process to reveal how Cameryn positions herself as…

The Research Committee focuses on several systemic barriers that have impeded the equitable development of students' mathematics knowledge, including school and school-system structures that foster the social reproduction of inequity. To develop an equitable context for all students to learn mathematics, the Research Committee posits that we need…

How people see the world, even how they research it, is influenced by beliefs. Some beliefs are conscious and the result of research, or at least amenable to research. Others are largely invisible. They may feel like "common knowledge" (though myth, not knowledge), unrecognized premises that are part of the surrounding culture. As we…

This article explores how research-based principles of vocabulary instruction, embedded in the learning cycle, may be enacted through a variety of strategies across the four core curricular disciplines. Examples of the strategies are provided, drawn from English, mathematics, social studies, and science.

These proceedings are a written record of the research presented at the 44th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Nashville, Tennessee, and virtually. This year's conference theme is "Critical Dissonance and Resonant Harmony." The aim of this…

The nature of mathematics teachers' knowledge specific to teaching mathematics [MTK] is of ongoing concern in mathematics education research. This article contributes to our under-standing of this knowledge with particular focus on reflective awareness. It discusses MTK based on ways it has been used in research. It highlights reflective awareness…

The growing national attention to students' learning trajectories (LTs) renews the opportunity to explore the ways that teachers may use students' thinking in their instruction. In this article, we examine teachers' learning of two frameworks, one for students' thinking in a particular domain and one for broad student-centered instructional…

In 2015, leaders within Achieve's Competency-Based Pathways State Partnership set out to more clearly understand the potential of learning progressions research to transform instructional practice and what is being done to translate that research into training and tools for educators. After a series of conversations with experts in the learning…

The theme of 'embodiment' has become an important approach in current mathematics education research, growing in significance from the mid-1990s onward. However terminology of 'body' and 'embodiment' is used to signal multiple, widely varying meanings in this research. Studies are grounded in a number of radically different theoretical bases, with…

Studies in the field of learning analytics (LA) have shown students' demographics and learning management system (LMS) data to be effective identifiers of "at risk" performance. However, insights generated by these predictive models may not be suitable for pedagogically informed interventions due to the inability to explain why students…

This paper describes a program of research aimed at better understanding mathematics conceptual learning. Rather than studying the products of learning (conceptual steps), it focuses on the process (mechanism) of students' learning -- learning that occurs through their mathematical activity in the context of a sequence of mathematical tasks.…

In the multilingual mathematics classroom, the assignment for teachers to scaffold students by means of instruction and guidance in order to facilitate language progress and learning for all is often emphasized. In Sweden, where mathematics education is characterized by a low level of teacher responsibility for students' performance, this…

Although any mainstream thought is subject to theoretical challenges, the challenges to the mainstream cognitive perspective on transfer have had an unfortunate divisive effect. This article takes a pragmatic view that transfer perspectives are simply designed objects (Plomp & Nieveen, 2007), which provide different information for different…