We analyzed item responses provided by a nationwide sample of 990 in-service U.S. middle grades mathematics teachers to a novel survey focused on fraction arithmetic. The survey targeted four components of reasoning in terms of measured quantities: "Referent units," "Reversibility," "Partitioning and iterating," and…

Cognitive diagnostic models (CDMs) are a family of psychometric models designed to provide categorical classifications for multiple latent attributes. CDMs provide more granular evidence than other psychometric models and have potential for guiding teaching and learning decisions in the classroom. However, CDMs have primarily been conducted using…

A common goal of Intelligent Tutoring Systems (ITS) is to provide learning environments that adapt to the varying abilities and characteristics of users. This type of adaptivity is possible only if the ITS has information that characterizes the learning behaviors of its users and can adjust its pedagogy accordingly. This study investigated an…

In peer observation of teaching, an experienced colleague in the educational environment of a faculty member observes the educational performance of that faculty member and provides appropriate feedback. The use of peer review as an alternative source of evidence of teaching effectiveness is increasing. However, no research has been done in the…

In recent decades, technology has influenced various aspects of assessment in mathematics education: (1) supporting the assessment of higher-order thinking skills in mathematics, (2) representing authentic problems from the world around us to use and apply mathematical knowledge and skills, and (3) making the delivery of tests and the analysis of…

Despite all the progress that has been made in research on language learning strategies since the publication of Rubin's (1975) seminal paper on good language learners, there are areas that have been neglected by strategy experts. Perhaps the most blatant manifestation of this neglect is the paucity of research into grammar learning strategies…

In this article, we present an analysis of individual factors that influence how well a person can read and understand a text in an unfamiliar, but closely related language--the basis of the so-called teaching of intercomprehension. Our work analyzes these relations from two normally separate perspectives. The first perspective focuses on how…

Aims: Through this qualitative approach we intent to investigate the existence of patterns in errors that children with Down's syndrome make while counting. Study Design: The current study can be described as descriptive correlational, while we are also trying to extract data through qualitative analysis. Place and Duration of Study: In the…

Developments within education, psychology and the neurosciences have shed a great deal of light on how we learn while, at the same time, confirming for us all that learning is a profoundly complex process and far from understood. Against this background, and in this position article, we consider the recent rise in interest in the concept of…

In an effort to individualize instruction and improve the effectiveness of instructor-learner transactions, education and instructional research has addressed a wide assortment of learner variables and assessed their relationships to instructional methods and environments. Adult education has recently seen the development by Conti and Kolody of a…