This extensively updated teaching resource provides over 100 engaging, full-color visuals with explanations of how they can be used to stimulate mathematics learning, to explain mathematical concepts, and to assess students' mathematical understanding in grades K-8. Readers are provided with a strong mathematical background, downloadable copies of…

We present an exploratory study on the use of ontologies for student assessment during a focus group with teachers in student-centred learning environments. The work is framed by a theoretical argument about coherence between instructional values and assessment systems, and how this may be achieved through a "community of judgment" with…

We describe here lessons learned in designing an early algebra curriculum to measure early algebra's impact on children's algebra readiness for middle grades. The curriculum was developed to supplement regular mathematics instruction in Grades K-5. Lessons learned centered around the importance of several key factors, including using conceptual…

Background: This paper considers a new policy and statistical framework for evaluating K-12 schools and policies that aligns with diversity, equity, and inclusion values. The new approach broadens the standard approach to accountability and evaluation by combining features of evaluation and multi-level growth models with approaches used in systems…

From expert authors, this book guides educators to conduct assessments that inform daily instruction and identify the assets that emergent bilinguals bring to the classroom. Effective practices are reviewed for screening, assessment, and progress monitoring in the areas of oral language, beginning reading skills, vocabulary and comprehension in…

In the 21st century, a deep understanding of mathematics, and the ability to apply that understanding, is more important than it has ever been. In Montgomery County (Maryland) Public Schools (MCPS), and across the country, mathematics instruction is changing to provide students with the skills and knowledge they need for success in college and the…

Purpose/Objectives: The purpose of the "Montana Recess Before Lunch Survey" was to explore benefits, challenges, and factors associated with successful implementation of Recess Before Lunch (RBL), from the perspective of school principals. Methods: An online written questionnaire was distributed to all (N = 661) Montana elementary and…

The No Child Left Behind Act's requirements for scientifically based research and new accountability standards will affect how professional development leaders do their work. Meeting the new requirements means leaders must more carefully evaluate new programs of professional learning and assess the results. Evaluation must become a given, not an…

After reviewing the controversy over traditional grading systems, the pros and cons of various grading systems, and recent practices in reporting and marking pupil progress, this report presents the results of a survey in which 341 districts responded about their reporting and marking practices. The results are broken down by the size of the…