Validating Student Score Inferences With Person‐Fit Statistic and Verbal Reports: A Person‐Fit Study for Cognitive Diagnostic Assessment

The goal of this study was to investigate the usefulness of person‐fit analysis in validating student score inferences in a cognitive diagnostic assessment. In this study, a two‐stage procedure was used to evaluate person fit for a diagnostic test in the domain of statistical hypothesis testing. In the first stage, the person‐fit statistic, the hierarchy consistency index (HCI; Cui, 2007 ; Cui & Leighton, 2009 ), was used to identify the misfitting student item‐score vectors. In the second stage, students’ verbal reports were collected to provide additional information about students’ response processes so as to reveal the actual causes of misfits. This two‐stage procedure helped to identify the misfits of item‐score vectors to the cognitive model used in the design and analysis of the diagnostic test, and to discover the reasons of misfits so that students’ problem‐solving strategies were better understood and their performances were interpreted in a more meaningful way.     

Extending Responsiveness to Intervention to Mathematics at First and Third Grades

Responsiveness to intervention (RTI) is an innovative approach to the identification of learning disabilities (LD). The central assumption is that RTI can differentiate between two explanations for low achievement: poor instruction versus disability. If the child responds poorly to validated instruction, then the assessment eliminates instructional quality as a viable explanation for poor academic growth and instead provides evidence of a disability. For children who do respond nicely, RTI serves a critical prevention function. Most of RTI research has been focused on early reading. In this article, we describe two ongoing programs of research on RTI in the area of mathematics: one on a comprehensive mathematics curriculum at first grade and the other focused on word problems at third grade. For each research program, we describe the sample, explain how students are identified as at risk for mathematics disability, provide an overview of the interventions to which responsiveness is gauged, and describe some results to date.     

Feedback complexity and corrective efficiency

College undergraduates read a 2400-word passage, responded to 16 multiple-choice questions, and received one of four types of feedback following their responses. Complexity of feedback was inversely related to both error correctability and criterion efficiency taken as a ratio of feedback study time to post-test corrects. The results were discussed in terms of depth of processing and instructional comprehension.     

Academic Self‐Perceptions,Effort, and Strategy Use in Students with Learning Disabilities: Changes Over Time

This study investigated changes in teachers' and students' perceptions of students' effort, strategy use, and academic difficulties when strategy instruction was infused into the classroom curriculum. The sample consisted of 201 students with learning disabilities, 210 average achievers, and 57 teachers from Grades 4–9 in two urban and suburban communities. After six months of classroom‐based strategy instruction, students with learning disabilities reported more consistent use of strategies with their schoolwork and perceived themselves as struggling less in reading, writing, and spelling. Teachers perceived the students with learning disabilities as more strategic and as applying more effort to their schoolwork. Teachers also perceived their students as showing significant improvements in spelling, regardless of whether they had learning disabilities. These findings extended the results of previous investigations and indicated the small, positive impact of classroom‐based strategy instruction. Further investigations are critical to evaluate the generalizability of these findings.     

Continuities and Discontinuities in Children and Scholarship

This article introduces a collection of essays on continuity and discontinuity in cognitive development. In his lead essay, J. Kagan (2008) argues that limitations in past research (e.g., on number concepts, physical solidarity, and object permanence) render conclusions about continuity premature. Commentaries respectively (1) argue that longitudinal contexts are essential for interpreting developmental data, (2) illustrate the value of converging measures, (3) identify qualitative change via dynamical systems theory, (4) redirect the focus from states to process, and (5) review epistemological premises of alternative research traditions. Following an overview of the essays, this introductory article discusses how the search for developmental structures, continuity, and process differs between mechanistic‐contextualist and organismic‐contextualist metatheoretical frameworks, and closes by highlighting continuities in Kagan’s scholarship over the past half century.