In this paper, the authors discuss a portion of the design research process of developing an intelligent tutoring system (ITS) for classroom use. The goal of this ITS is to simultaneously provide automated support for student learning and generate diagnostic information for teachers that can lead directly to actionable recommendations for pedagogy…

This study examines the relative instructional efficiency of virtual and physical fraction manipulatives. More specifically, this study uses a randomized experiment to determine if differences in students' knowledge of fractions magnitude exist when students use virtual rather than physical manipulatives to learn basic fraction concepts.…

Fractions are among the most difficult mathematical concepts for elementary school students to master (Behr, Harel, Post, & Lesh, 1992; Bezuk & Cramer, 1989; Moss & Case, 1999). Research indicates that manipulatives (e.g. fractions circles, fractions strips) positively impact students' conceptual and procedural understanding of…

The fact that research has shown that fractions are among the most difficult mathematical concepts for elementary school students to master (Behr, Harel, Post, & Lesh, 1992; Bezuk & Cramer, 1989; Moss & Case, 1999) provides a compelling motivation for research and innovation focused on improving the available assessment and…

In this paper, the authors explore the use of learning analytics as a method for easing the cognitive demands on teachers implementing the HALF instructional model. Learning analytics has been defined as "the measurement, collection, analysis and reporting of data about learners and their contexts for the purposes of understanding and…