In this study, we examine students' mathematical reasoning within a technological environment designed to support understanding of relationships between quantities with adjustable measuring units. In particular, we provide a cross-sectional snapshot of how 30 elementary students (Grades 3-5) engaged in a series of fraction-as-measurement tasks…

Authentic context is a physical environment reflecting the knowledge application in the real world. In this study, we developed a tablet-based application, Ubiquitous Fraction (U-Fraction), to help fractions learning with authentic contextual support. Three topics were designed to learn fractions concept, fractions simplification, and fractions…

This qualitative study examines how playing levels of a fraction-themed videogame impacts students' thinking. The research question answered is: What do students' gestures reveal about the degree to which their thinking is embodied as they play a videogame that is constructed via a grounded metaphor for mathematical knowledge. Four soon-to-be…

This research is motivated by observations that show the lack of additional teaching materials in schools that facilitate students in communicating mathematical ideas (symbols, pictures, and graphs) as well as concepts related to fractions by presenting the surrounding environment as a source of learning. The purpose of this study is to reveal the…

As digital technology use increases in K-12 education, greater numbers of strategies become available to support students in mathematics. One technology that provides students diverse representations of mathematical concepts is virtual manipulatives. Although instruction featuring representations with physical manipulatives possesses a large body…

Background: Performance with fractions has been a weak point in U.S. education for decades and has not improved in recent years (Siegler, 2017). High School math teachers frequently rate their students' knowledge of fractions as "poor" and see this lack of foundational knowledge as one of the top barriers to students mastering algebra…

Recently, virtual reality seems to be deevloping rapidly. However, it can be said that virtual reality is in the early days of adoption for education. Studies show that using virtual reality in education can positively affect students' learning experiences. In this study, the effect of an educational virtual reality game, named "Kesfet…

This study investigates the effects of a synchronous online intervention that explicitly taught equivalent fractions using virtual manipulatives to fifth-grade students with learning disabilities. Employing a multiple probe across participants single-case design, this study provided 15 fraction lessons via video conferencing programs to three…

Primary school students have trouble understanding concepts related to fractions. On the other hand, technology constantly provides interesting tools that stimulate students' interest and foster learning. Among these, tangible user interfaces allow users to interact with digital applications through the manipulation of everyday objects. Given that…

Mathematics education for students with and at-risk for a disability is important and high-quality, research-supported practices should be used for online teaching--whether intentional or as a result of a global pandemic. This single-case design multiple probe replicated across participants study explored the online delivery of an intervention…

Mobile devices, and their applications, are becoming common-place around the world, and especially with adult-age college students in the United States. At the same time, community college students who are interested in becoming members of the trade workforce, such as auto mechanics, are continuing to need to learn basic mathematic concepts such…

This case study aims to describe the learning characteristics of a child and evaluate his preferences for using physical manipulatives (PM) and virtual manipulatives (VM) to solve fraction problems. The participant in this study was a fourth-grade child. The child was given similar problems to solve using PM and VM. Data sources were observations…

Educational technologies in mathematics typically focus on fostering either procedural knowledge by means of structured tasks or, less often, conceptual knowledge by means of exploratory tasks. However, both types of knowledge are needed for complete domain knowledge that persists over time and supports subsequent learning. We investigated in two…

This study used traditional and holographic video, along with eye-tracking technology, to examine how preservice teachers' physical act of looking is associated with how they attend to and assess students' fraction reasoning. Findings revealed that, although viewing of holograms may have influenced more focus on students' work area, there was…

Computational models of learning can be powerful tools to test educational technologies, automate the authoring of instructional software, and advance theories of learning. These mechanistic models of learning, which instantiate computational theories of the learning process, are capable of making predictions about learners' performance in…