This study looked at the effectiveness of differentiated learning in enhancing students' mathematical outcomes by incorporating varied content, processes, and products. Employing a mixed-methods experimental design, the research hypothesized that differentiated instruction significantly influences students' performance in mathematics exams. The…

This study extends prior research by manipulating both intervention and skill difficulty using a multiple baseline across participants design with changing phases in a virtual tutoring environment. Participants were four U.S. students from third and fifth grades for whom appropriate and challenging instructional targets were selected following…

Every educator knows the sinking feeling of a lesson gone wrong. As teachers look around the room and realize that many of their students are just not getting it, they often feel like failures. However, the struggle students experience as they persevere through high-quality challenging tasks is not a sign of failure, but rather a key aspect of…

Students often show difficulties in understanding rational numbers. Often, these are related to the natural number bias, that is, the tendency to apply the properties of natural numbers to rational number tasks. Although this phenomenon has received a lot of research interest over the last two decades, research on the existence of qualitatively…

A purposive sampling was conducted with 109 students from Anding elementary school, Taiwan. First, we found perceived ease of learning, enjoyment, self-efficacy, social interaction and learning attitude have significant differences between integrated teaching approach and Spoon-feeding instruction in this study. Second, the research framework has…

Teaching and learning mathematics in an elementary classroom is a complex process in negotiating a balance in encouraging participation, responding to students, making connections between interactions, and planning for upcoming interactions. In a search for instructional models and structures that support and encourage student engagement in…

Present and future social and ecological challenges are complex both to understand and to attempt to solve. To comprehend the complex systems underlying these issues, students need systems thinking skills. However, in science education, a uniform delineation of systems thinking across contexts has yet to be established. While there seems to be…

This article is the next in our series of papers that was presented at the 27th Biennial AAMT Conference in Brisbane earlier this year. In this article, Michael Minas uses a case study approach to explore how enabling prompts can be used most effectively to support teaching with challenging tasks.

Reading comprehension instruction may be critical for students to learn from social studies text, particularly for students who are not yet proficient in reading. Understanding factors that correspond to high levels of student engagement during text-based social studies instruction appears particularly important. Data were collected from 50…

This study is a qualitative research which was conducted in order to reveal the instructional explanations of class teachers and primary school mathematics teachers working in state schools about division. A semi-structured interview form with three open-ended questions about division, prepared for this purpose, was examined by the experts. The…

This study examines the construct of distance -- the degree of difficulty of interacting with something -- as part of activity involving children using touchscreen digital games to learn mathematics. Ten fifth-grade children engaged in video-recorded semi-structured task-based interviews in which they used two touchscreen digital mathematics games…

Personalizing the use of educational mathematics applets to fit learners' characteristics poses a great challenge. The present study adopted a unique approach by comparing personalization processes implemented by a machine to those implemented by a human teacher. Given the different affordances--the machine's access to historical log file data,…

This convergent mixed method study investigates learner engagement during a blended, transmedia curriculum called CryptoComics, which is designed to teach 3rd-5th graders about cryptology and cybersecurity. Curriculum design is presented through the lens of four engagement facilitators: (1) anchoring the curriculum with a comic book, (2) blending…

Critical thinking skills are the 21st-century life skills that are needed by students. However, in elementary schools, there are no instruments that are truly effective and efficient to measure critical thinking skills. This research aims to develop an open-ended question assessment instrument to measure students' critical-thinking skills, to test…

In this study, we analyzed the imprecise (i.e., less mathematically precise) responses that 148 third- to fifth-grade Chinese students made on selected-response problems that were part of a spontaneous mathematical focusing task, the Quantitative Relations Test for Chinese Children (QRTC[superscript 2]). The purpose for this analysis was to…