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…

The emergence of K-12 bilingual/dual-language schools in the United States requires bilingual teacher education programs across the nation to continue to "build on the language strengths" of bilingual teacher candidates and provide them with ample opportunities to acquire the language competencies needed for teaching content-area…

Sure, it would be nice to start a school garden, but there will be plenty of time to do it in the spring. Think again. If one's goal this year is to start a class garden, it's already time to start planning! In this article, the author shows just how (and when) to do each step with a full-year calendar.

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…

Site supervisors rarely receive training at the master's level in the supervisory skills required for the supervision of intern students. General guidelines for site supervisors are presented in this article. The article suggests steps for a site supervisor to take prior to accepting an intern, procedures to follow during the internship, and…