Big Ideas in school mathematics can be seen as overarching concepts that occur in various mathematical topics in a syllabus. For teachers, this knowledge can be used to help students develop a better understanding of mathematics by making visible the central ideas, and connection across topics and across levels. For students, this knowledge can…

Meaningful inclusion of quantitative reasoning into mathematics instruction requires meaningful ways to evaluate it. Few formative assessments exist to evaluate the strategies students use when reasoning mathematically. The Framework for Evaluating Quantitative Reasoning Strategies presented in this article provides teachers with categories for…

This paper discusses issues arising in the design of questions to use in an on-line computer-based formative assessment system, focussing on how best to identify the stages of a learning hierarchy for reporting to teachers. Data from several hundred students is used to illustrate how design decisions have been made for a test on interpreting line…

This project had two major goals: to determine the usefulness of individually-administered interview process to access elementary students' fluency with basic multiplication facts, and to determine whether a developmental sequence found in Australian mathematics education literature applied to elementary students in the United States. Students in…

This study examined the effects of professional development on teachers' assessment literacy between two groups of teachers: (1) teachers who were involved in ongoing and sustained professional development in designing authentic classroom assessment and rubrics; and (2) teachers who were given only short-term, one-shot professional development…

The wealth of assessment options that exists offers teachers and students a "menu" of selections. Just as matching appetite needs with appropriate food selection is fundamental to a successful dining experience, matching assessment options to targeted achievement needs is crucial to an effective assessment experience. The author uses a…

Differentiated instruction is commonly believed to be critical to improving the quality and efficiency of teachers' instructional repertoires (Fischer & Rose, 2001; Tomlinson, 2004). Tomlinson (2000) describes differentiation in four domains: content, process, product, and learning environment. Content differentiation involves varying…

The purpose of this study is to identify the self-reported research-based instructional and assessment practices used by third through fifth grade teachers among rural school environments in Western Pennsylvania which have attained Adequate Yearly Progress (AYP) pursuant to statewide assessments. Specifically, this study examines the…

Public school districts in the Mississippi (MS) Delta are under severe pressure to make rapid and adaptable changes in response to the federal legislation No Child Left Behind Act of 2001 and the MS Plan for Student Achievement: Assessment, Accreditation, and Accountability. These reform Acts require higher student performance standards and new…

There is a lack of implementation of instructional strategies to assist middle school teachers in improving mathematics education for their students. Coaching is one solution to this problem, but its impact on student achievement is unclear. This case study evaluated the relationship between coaching and teacher efficacy and the impact of these…

This document offers a planning tool for grades 3-7 that can be used by regional comprehensive centers, other technical assistance centers, and state departments of education to plan professional development for teachers. It is based on the "National Mathematics Advisory Panel Report" which was published in 2008. The panel synthesized its final…

To investigate whether games may serve as useful formative assessment environments, this study examined, experimentally, the effects of two aspects of formative assessment on math achievement, game play, and help-seeking behaviors: (a) making assessment criteria explicit through the explanation of scoring rules and (b) incentivizing the use of…

Useful for small groups or one-on-one instruction, this book offers successful math interventions and response to intervention (RTI) connections. Teachers will learn to target math instruction to struggling students by: (1) Diagnosing weaknesses; (2) Providing specific, differentiated instruction; (3) Using formative assessments; (4) Offering…

This is the first examination of exemplary evaluation under a new editorial approach, in which the authors are attempting not only to report how the evaluation was conducted and to explain the rationale for design and implementation but also to examine the conditions, events, or actions that might have contributed to its exemplary status. This…

Several packages designed by Elizabeth Marquez for mathematics teachers of grades 6-12, officially entitled the Teacher Assistance Package in Support of Better Algebra Assessment, is a series of resources developed to accompany ET's End-of-Course Algebra Assessment. It is designed to enhance teachers classroom assessment by providing examples of…