During the past few years, several of the authors have incorporated student problem posing as a regular instructional feature in their classrooms. When they offer their students the opportunity to construct their own problems, particularly during the course of an entire school year, they create many novel tasks. Student-created tasks not only…

Formative assessment is the process by which teachers and students gather evidence of learning and then use this to adapt the way they teach and learn. I describe a design research project in which we integrated formative assessment strategies into lesson materials that focus on developing students' conceptual understanding and their capacity to…

This article introduces the formative assessment probe--a powerful tool for collecting focused, actionable information about student thinking and potential misconceptions--along with a process for targeting instruction in response to probe results. Drawing on research about common student mathematical misconceptions as well as the former work of…

"A Teacher's Guide to Using the Common Core State Standards in Mathematics" provides teachers and administrators with practical examples of ways to build a comprehensive, coherent, and continuous set of learning experiences for gifted and advanced students. It describes informal, traditional, off-level, and 21st century math assessments…

Personal interactions are the single most effective way for teachers to understand and evaluate their student as learners. Responding specifically to new Common Core State Standards in reading and writing, this book introduces pre- and inservice teachers to a method of one-on-one interaction the authors refer to as the "stretch…

The Common Core State Standards (CCSS) in mathematics are currently adopted in most U.S. states. Nonetheless, most math teachers across the country are still experiencing difficulties in putting these standards into practice. Teachers and local school administrators are faced with a challenge of adapting methodologies in instruction and assessment…

The Common Core State Standards and Response to Intervention are significant contemporary educational initiatives that have emerged largely in isolation from one another. We argue that an integration of these initiatives is beneficial. We trace the independent development of these two initiatives and offer suggestions for how they might fruitfully…

On October 14, 2013 the Mathematics Education Department at Teachers College hosted a full-day conference focused on the Common Core Standards Mathematical Modeling requirements to be implemented in September 2014 and in honor of Professor Henry Pollak's 25 years of service to the school. This article is adapted from my talk at this conference…

This study explored the enactment of formative assessment practices in 89 observed lessons across 15 middle and high school science teachers before and after they participated in workshops that coalesced around formative assessment, teaching science to English learners (ELs), and integrating Next Generation Science Standards with Common Core…

As part of its proposal to the U.S. Department of Education, the Partnership for Assessment of Readiness for College and Careers (PARCC) committed to developing Kindergarten through Grade 2 Model Content Frameworks for Mathematics (K-2 Model Content Frameworks) to serve as a bridge between the Common Core State Standards (CCSS) and the PARCC…

This study reports 2 years of findings from a randomized controlled trial designed to replicate and demonstrate the efficacy of an existing, successful professional development program, the Pathway Project, that uses a cognitive strategies approach to text-based analytical writing. Building on an earlier randomized field trial in a large, urban,…

The inclusion of technology in the classroom is an increasingly important feature of effective instruction. The implementation of Common Core Standards in many states also requires teachers to consider new pedagogical strategies to support meaningful learning. This article explores the intersection between technology demands and curricular change…

This study continues the work that National Network of State Teachers of the Year (NNSTOY) and its partners, Clowder Consulting and Education-Counsel, began with their "Right Trajectory" study (see ED581172), released in 2015, and continued in their "Still the Right Trajectory" study (see ED581173) released in early 2017. In…

This study sought to identify the relationships among elementary teachers instructional practices in mathematics pre- and post-CCLS implementation in relation to technological and pedagogical content knowledge (TPACK), formative assessment, reflective practice, receptivity to change, academic optimism, and instructional leadership across age,…

Purpose: The purpose of this article is to present alternative views on the theory and practice of "formative assessment" (FA), or assessment to support teaching and learning in classrooms, with the purpose of highlighting its value in education and informing discussions on educational assessment policy. Methodology/approach: The method…