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…

We present in this paper a pair of approaches to support mathematics educators and learners in formulating original tasks. In particular, we facilitate the posing of rich mathematical problems by using two novel methods that were created by a mathematics department at a K-12 school in the United States, and further developed alongside our students…

The National Council of Teachers of Mathematics (NCTM 2014) takes a clear stance that each and every student should have rich experiences in mathematics classrooms. In 2015, the Every Student Succeeds Act noted that Universal Design for Learning (UDL) is an evidence-based, scientifically valid framework that fosters access to instruction for all…

In this article the authors overview how the recently revised (version 9) Australian Curriculum (Australian Curriculum Assessment and Reporting Authority, 2022) and student difficulties with fractions relate to five developmental Fraction Schemes developed from multiple research projects in the literature. The article shares research findings from…

Assessment is a key lever for educational improvement. Assessments can be used to monitor, signal, and influence science teaching and learning -- provided that they are of high quality, reflect the rigor and intent of academic standards, and elicit meaningful student performances. Since the release of "A Framework for K-12 Science…

In the divergent discovery style of teaching the teacher designs problems that engage students in finding multiple solutions. The purpose of this article is to show how physical educators can use the divergent discovery style in the gymnasium. A brief description of this style and its connection to the SHAPE America National Standards for K-12…

Given the exponential growth in the popularity of early foreign language programs, coupled with an emphasis of evidence-based instruction, assessing young learners' (YLs) foreign language abilities has moved to center stage. This article canvasses how the field of assessing young learners of foreign languages has evolved over the past two decades.…

American classrooms are increasingly heterogeneous linguistically. If all students are to engage in three-dimensional learning, how are educators making classroom assessments accessible and meaningful for emergent bilingual learners? There are few classroom assessment exemplars that embody the NGSS three-dimensional vision of the…

Twenty-first century literacy requires students to analyze and create images for communication across and within academic disciplines. Thus, literacy teachers are now responsible for supporting students as they engage with visual texts. We must carefully and intentionally choose images for teaching practice and consider the reader, instructional…

The past several years have seen a growing interest in, and adoption of, Teacher Leader (TL) programs throughout the country and among TIF 4 grantees. Often, these programs have been embedded within large- scale career ladder compensation systems. Several recent writings describe this recent growth surge, design issues in the creation of a total…

One of the key ideas of evidence-centered assessment design (ECD) is that task features can be deliberately manipulated to change the psychometric properties of items. ECD identifies a number of roles that task-feature variables can play, including determining the focus of evidence, guiding form creation, determining item difficulty and…

When faced with a multitude of tasks, any opportunity to "kill two birds with one stone" is welcome. Drama has always excited the author: as a child performing in plays, later as a student and now as a teacher directing performances and improvising within lessons. The author was lucky enough to have inspirational teachers during his…

After passage of the Every Student Succeeds Act (ESSA) in 2015, states assumed greater responsibility for designing their own accountability and assessment systems. ESSA requires states to measure "higher order thinking skills and understanding" and encourages the use of open-ended performance assessments, which are essential for…

One of the most challenging tasks in increasingly diverse classrooms is helping students develop the "knowledge and language of science to communicate scientific explanations and ideas" (NRC 1996, p. 144). In this article, the authors share one of their favorite methods for incorporating and reinforcing science vocabulary instruction in…

The incorporation of scientific inquiry into college classrooms has steadily risen as faculty work to move away from exclusively didactic methods. One type of inquiry structure, the design task, produces a product rather than simply a conclusion. This offers students a context to apply their understanding of content in a tangible way that has…