In this systematic review, we explored mathematics interventions for middle school (Grades 6, 7, and 8) implemented with students who experienced difficulty in the area of mathematics, including students with an identified learning disability in mathematics. A total of 72 single-subject and group comparison studies met inclusion criteria, with 59…

Stopping rules for fixed-form tests with graduated item difficulty are intended to stop administration of a test at the point where students are sufficiently unlikely to provide a correct response following a pattern of incorrect responses. Although widely employed in fixed-form tests in education, little research has been done to empirically…

Diagnostic assessments are intended to support teachers' instructional decision making by providing instructionally relevant information. In this article, we propose that using cognitive theories of learning to design diagnostic assessments can provide teachers with two diagnostic outcomes: (a) the location of a student's thinking within the…

In this article, we highlight the need for a precisely defined construct in score-based validation and discuss the contribution of cognitive theories to accurately and comprehensively defining the construct. We propose a framework for integrating cognitively based theoretical and empirical evidence to specify and evaluate the construct. We apply…

Developing proficiency in algebra is the focus of instruction in high school mathematics courses and is a minimum expectation for high school completion for all students including those with learning difficulties. However, the foundation for success is laid in grades 4-8 (aged 9-14). In this paper, we assert that students' development of algebraic…

The purpose of this study was to develop and gather validity evidence for silent reading fluency passages. A number of passages were written following a traditional story grammar structure (character, setting, events) and placed on a computer for students to read silently. We describe in detail, the manner in which content-related evidence was…

The purpose of this study was to document the instrument development of maze measures for grades 3-8. Each maze passage contained twelve omitted words that students filled in by choosing the best-fit word from among the provided options. In this technical report, we describe the process of creating, reviewing, and pilot testing the maze measures.…