Years and Centuries are the measurement units used to quantify a longer time duration, while subtraction is the operation required to determine the duration based on two given time points. However, subtraction of time is a difficult skill to be mastered by many elementary students. To identify the root cause of the student's failure in performing…

The fifth-grade curriculum presents many opportunities to use students' prior mathematical knowledge as a way to bridge new and more difficult mathematical ideas. In this article, the authors document an area tiling task given to fifth-grade students to connect aspects of area measurement covered in earlier grades to grade-level standards such as:…

In many elementary classrooms nationwide, less and less time is spent on social studies. Lack of attention to social studies is evident in states like New York where teacher evaluations are contingent on students' performance on two subjects: English Language Arts (ELA) and mathematics. In this article, the authors describe their experience…

Using two states' grades 3 through 8 state assessment databases, this study documents the extent to which students were assigned testing accommodations for ELA or mathematics in only one of two consecutive years. The percentage of students with disabilities who were assigned accommodations in the current year only or in the prior year only in a…

Mathematical modeling, a practice standard in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010), is a process by which students develop and use mathematics as a tool to make sense of the world around them. Students investigate a real-world situation by asking mathematical questions; along the way, they need to decide how to use…

Research on morphological awareness has shown that it contributes to literacy outcomes. However, because of the way morphological awareness is traditionally measured, there is speculation that tasks may reflect cognitive flexibility, working memory, or some other type of executive processing, versus awareness of morphology. Further complicating…

We present a test for cluster bias, which can be used to detect violations of measurement invariance across clusters in 2-level data. We show how measurement invariance assumptions across clusters imply measurement invariance across levels in a 2-level factor model. Cluster bias is investigated by testing whether the within-level factor loadings…

Teachers report that engaging students in solving contextual problems is an important part of supporting student understanding of algorithms for fraction division. Meaning for whole-number operations is a crucial part of making sense of contextual problems involving rational numbers. The authors present a developed instructional sequence to…

Alternate assessments based on alternate achievement standards are designed to measure the academic achievement of students with the most significant cognitive disabilities. Because this population has not previously been included in large-scale testing programs, these assessments present unique measurement challenges. Probably the most…

The practical need for multidimensional measures of fidelity of implementation (FOI) of reform-based science, technology, engineering, and mathematics (STEM) instructional materials, combined with a theoretical need in the field for a shared conceptual framework that could support accumulating knowledge on specific enacted program elements across…

Research on informant discrepancies has increasingly utilized difference scores. This article demonstrates the statistical equivalence of regression models using difference scores (raw or standardized) and regression models using separate scores for each informant to show that interpretations should be consistent with both models. First,…

This study aimed at investigating the progress of students' learning on multiplication fractions with natural numbers through the five activity levels based on Realistic Mathematics Education (RME) approach proposed by Streefland. Design research was chosen to achieve this research goal. In design research, the Hypothetical Learning Trajectory…

Evidence-based classwide interventions have the potential to help a large number of students by preventing problem behaviors before they become a significant problem in the classroom. Results of a study examining the effectiveness of a classwide peer-modeling intervention package to improve students' on-task behavior in the classroom are…

Research indicates the need to further examine the dimensions of reading motivation. A clear theoretical basis is necessary for conceptualizing reading motivation and considering contextual differences therein. The present study develops and validates the SRQ-Reading Motivation, a questionnaire measuring recreational and academic reading…

The nonlinear mixed effects model for continuous repeated measures data has become an increasingly popular and versatile tool for investigating nonlinear longitudinal change in observed variables. In practice, for each individual subject, multiple measurements are obtained on a single response variable over time or condition. This structure can be…