Despite the introduction of Common Core State Standards and the National Council of Teachers of Mathematics urging educators to explore fundamental concepts in mathematics at a deeper level, the majority of mathematics education has remained aimed at initial skill acquisition. The result has led to students learning to mimic a standard set of…

This paper reports on a large clinical study with 193 children (Grades 3-6) who interacted with 12 digital math games during clinical interviews. Children completed a pretest, interacted with the digital math games, completed a posttest, and answered questions about their interactions with the games. During the interviews, researchers used two…

Argumentative and proving skills are considered key competencies in mathematics. Collaborative learning activities, by fostering students' production of conjectures and arguments, could contribute strongly to the development of these skills. In this paper, we present the design of a e-learning collaborative environment, whose goal is to promote in…

This quasi-experimental research study examines whether the use of Assessment and Learning in Knowledge Spaces (ALEKS), an ITS, shows a statistically significant improvement in students' mathematics achievement than traditional teacher-led instructions. This non-randomized research study measured the efficacy of ALEKS on ''underachieving students'…

Virtual learning environments give students more autonomy over their learning than traditional face-to-face classes and require that students adapt the ways they consume and assimilate new information. One theory of this process is self-regulated learning, which is illustrated in Efklides' Metacognitive and Affective model of Self-Regulated…

In this work we present the design of a computer-based environment aimed at engaging primary school children in argumentative practices while solving a story problem. Argumentation has been regarded from two points of view, both as a process and as a product. Students, using the collaborative tools offered by the platform, co-constructed shared…

This paper reviews 10 years of research on virtual manipulatives (VMs) in K-5 mathematics education with a focus on moving beyond generalized conclusions that VMs can support learning to better understanding how and when they support learning. Synthesis of fifteen articles that met the inclusion criteria revealed researchers are beginning to…

Real world, mathematics-based educational activities provide context for learning and break down barriers to learning in mathematics and science. SpaceMath@NASA (hereafter SpaceMath) provides teachers with real-world math activities in a space context in support of standards, by using current NASA discoveries as a starting point for motivating…

With use of web-based homework systems (WBH) increasing in mathematics classrooms, a study was conducted in which 236 secondary mathematics teachers completed a survey assessing the extent to which their beliefs on the effectiveness of WBH varied according to "level of student achievement" and "level of course." Results…

We present a case of one teacher's engagement in project-based learning for algebra I students. This teacher was a member of a cohort of mathematics teachers and career technical educators who participated in a two-week intensive summer institute investigating autonomous vehicles. During the academic year, the follow up support for these educators…

The purpose of this study is to evaluate the effectiveness of IXL Math online software for homework in raising the achievement of middle-school students on the New York State Math exam, with special focus on effects by student ethnicity. The study includes an analysis of the relationship between exam scale scores and time spent using the IXL…

Mathematics is a foundation subject within Computer Science which students continue to find challenging. Technology-enhanced learning pedagogies provide opportunities to improve educational learning outcomes, supporting dialogue and best practice. Research conducted over a three-year period at National College of Ireland's "Introduction to…

This study examines the data of students from the United States (n = 2,592) who participated in the 2018 Programme for International Student Assessment (PISA). The purpose of this study is to probe the relationship between students' use of information and communication technologies (ICT) and their academic performance in mathematics and science.…

Online math videos for student learning are abundant; yet they are surprisingly uniform in their monologic, expository mode of presentation and their emphasis on procedural skill. In response, we created an alternative model of online math videos that feature the unscripted dialogue of secondary school students, who convey sources of confusion and…

There is a large body of literature concerning the potential of dynamic geometry software (DGS) in the problem solving process. However, questions regarding how teaching should take place to prepare students to use DGS as a heuristic tool in non-routine problem situations seem to be overlooked. To address this gap in the literature, the current…