This paper investigates the interplay of words and expressions with students' efforts to indicate times on a clock. We consider how elementary students interpret precise times (e.g., 2:30, 4:30) as compared to relative times (e.g., half past 11) as they describe this intangible quantity using a clock. Interviews with students in grades 2 and 4 (n…

Time is an area of measurement that is difficult for children. This interview study addresses the question: What are children's solution approaches to position the hands of an analog clock? To explore this, we investigated problem solving when using a clock manipulative with mechanically linked hands. We compare overall success rates among…

Screening and monitoring student reading progress can be costly and time consuming. Assessment embedded within the context of online instructional programs can capture ongoing student performance data while limiting testing time outside of instruction. This paper presents two studies that examined the validity of using performance measures from a…

This Framework builds upon the foundation of the 2010 Massachusetts Curriculum Framework for Mathematics as well as versions of the Massachusetts Mathematics Framework published since 1995. The current Framework incorporates improvements suggested by Massachusetts educators after six years of experience in implementing the 2010 standards in their…

"Investigations in Number, Data, and Space"[R], published by Pearson Scott Foresman, is an activity-based K-5 mathematics curriculum designed to help students understand number and operations, geometry, data, measurement, and early algebra. Each instructional unit focuses on a particular content area and lasts from two to five-and-a-half…

This Framework is built upon the foundation of the 2003 and 1997 "Massachusetts History and Social Science Curriculum Frameworks." Based in research on effective practice, it represents the contributions of members of the History and Social Science Curriculum Framework Review Panel, scholars who served as Content Advisors, and the more…

Few studies examine the classroom behavior of children with attention deficit hyperactivity disorder (ADHD) in comparison with classroom peers and which teaching formats best support classroom engagement. Observations (N = 312) of second- and fourth-grade students with ADHD and their randomly selected classroom peers were conducted using a…

The Massachusetts Department of Elementary and Secondary Education (Department) created the grades 1-12 Early Warning Indicator System (EWIS) in response to district interest in the Early Warning Indicator Index (EWII) that the Department previously created for rising grade 9 students. Districts shared that the EWII data were helpful, but also…

Background: Cluster-randomized experiments that assign intact groups such as schools or school districts to treatment conditions are increasingly common in educational research. Such experiments are inherently multilevel designs whose sensitivity (statistical power and precision of estimates) depends on the variance decomposition across levels.…

This study used the Teaching for Social Justice Observation Scale (TSJOS) of the Reformed Teaching Observation Protocol-Plus (RTOP+) to examine the extent to which twenty-two novice elementary teachers implemented practices related to teaching for social justice in their mathematics instruction. In addition, this study sought to examine the extent…

Algebra instruction has traditionally been postponed until adolescence because of historical reasons (algebra emerged relatively recently), assumptions about psychological development ("developmental constraints" and "developmental readiness"), and data documenting the difficulties that adolescents have with algebra. Here we…