This research is motivated by a linear equations system, which is the basis for studying necessary linear algebra materials, such as rank, range, linear independent/dependent, linear transformations, characteristic values and vectors. There are still prospective mathematics teachers who have difficulty solving linear equations system and…

One of the problems regarding MOOCs (Massive Open Online Courses) is the high dropout rate. Although dropout periods have been studied, there is still a lack of understanding of how dropout differs for MOOCs with different levels of difficulty. A quantitative study was conducted to determine the periods with the highest dropouts in computer…

Copious research demonstrates the benefits of adding active learning to traditional lectures to enhance learning and reduce failure/withdrawal rates. However, many questions remain about how best to implement active learning to maximize student outcomes. This paper investigates several "second generation" questions regarding infusing…

Students' abilities to self-assess their understanding can influence their learning and academic performance. Different factors, such as performance level, have been shown to relate to student self-assessment. In this study, hierarchical linear modeling was used to identify factors and quantify their effects on the changes observed in chemistry…

This paper describes a study that used a novel method to investigate conceptual difficulties with mathematical induction among two groups of undergraduate students: students who had received university-level instruction in formal mathematical induction, and students who had not been exposed to formal mathematical induction at the university level.…

The challenge of a long and difficult commute to school each day is likely to wear on students, leading some to change schools. We used administrative data from approximately 3,900 students in the Baltimore City Public School System in 2014-2015 to estimate the relationship between travel time on public transportation and school transfer during…

In this paper, we network five frameworks (cognitive demand, lesson cohesion, cognitive engagement, collective argumentation, and student contribution) for an analytic approach that allows us to present a more holistic picture of classrooms which engage students in justifying. We network these frameworks around the edges of the instructional…

Literacy is a term generally used for adults and young people. Basically, it is an acquisition that includes the process of reading, writing and understanding symbols in any language. While this concept, whose definition and scope has expanded over time, refers to people who can only say their names in the past, today it refers to individuals who…

In everyday classroom situations, teacher decisions are influenced by cognitive load and affect. Cognitive demands related to decision-making by teachers, and associated affect, influence future decisions, providing a juncture to change potential outcomes. Eight Australian Secondary teachers were selected for this qualitative study based on the…

In this investigation, we examine the contribution of intrinsic content density (ICD) to measures of expository text processing. In Studies 1 and 2, the factor structure of select text density metrics was examined and refined using two text samples (Ns = 150) randomly selected from an expository text corpus. Scores on the ICD measure based on the…

Visual diagnosis of radiographs, histology and electrocardiograms lends itself to deliberate practice, facilitated by large online banks of cases. Which cases to supply to which learners in which order is still to be worked out, with there being considerable potential for adapting the learning. Advances in statistical modeling, based on an…

Use of three-force member concept for rigid bodies whenever possible, to circumvent the more taxing use of equilibrium equations has been long-established. However, most students fail to reap its benefits due to a number of reasons, including the fact that its importance is hardly emphasized to them; skills and details needed for the concept are…

The present study examined the components of oral reading fluency (ORF) via various indices and their relationships with comprehension and learner-perceived difficulty of oral reading among Chinese second language (L2) learners. One hundred participants read aloud paragraphs, completed the comprehension test, and rated the difficulty of the oral…

This study addresses the question of whether gender agreement is impaired in SLI German. Article production and gender marking on articles were examined in three groups of German-speaking children: 10 children with Specific Language Impairment (SLI), 10 age-matched typically developing (TD) children, and 10 TD children who were on average two…

In their prior research on adaptive instruction for multi-representational learning, the researchers explored various perspectives on designing visual representations and scaffolds. However, controversies and discrepancies regarding the fidelity of visual representations and self-explanation prompts have yet to be resolved. This research thus…