Foundation programmes provide an alternate access route for prospective students whose prior academic results exclude direct entry to undergraduate studies. Bridging courses within foundation programmes address gaps in prior knowledge while developing content knowledge and requisite skills to equip students for the rigour of undergraduate degree…

This study examined how community college students' reflective sentiments about learning with the Intelligent Tutoring System (ITS) ALEKS evolved in three developmental pre-Algebra Mathematics courses and how students' sentiments related to their metacognitive awareness and learning performance. Thirty-nine students participated in this study.…

The shift across developmental education from prerequisite to corequisite remediation has left students underprepared for college-level mathematics in need of additional support. Typically, this support takes the form of content remediation, but what happens when this extra help is reframed in terms of student learning skills and confidence?…

In the era of 21st century learning, many secondary students with learning disabilities continue to struggle with mathematics problem solving. Emerging evidence suggests self-regulated strategy development can be combined with existing evidence-based and promising practices during mathematics instruction. These practices include explicit…

Math anxiety refers to feelings people get when facing computational challenges. The fear of failure often causes people to avoid activities, like taking challenging mathematics courses or choosing majors that require mathematics. Grit describes how people persist or persevere in the wake of failure. This article looks at factors that contribute…

We examined the influences of pre-solving pause time, algebraic knowledge, mathematics self-efficacy, and mathematics anxiety on middle-schoolers' strategy efficiency in an algebra learning game. We measured strategy efficiency using (a) the number of steps taken to complete a problem; (b) the proportion of problems completed on the initial…

Advancement of self-regulation during complex problem solving and the development of strategical reasoning are among the central educational goals linked to 21st century skills. In this paper we introduce the notion of "Stepped Tasks", which are specially designed in Top-Down structure to achieve these goals in mathematics instruction.…

Many teachers labor to distinguish between productive and unproductive struggle; they believe that struggle is productive when it engages students in thinking and communicating metacognitively, which is when students think and communicate about their problem-solving processes, strategies, challenges, and successes. One method that helps ensure…

Equation rearrangement is an important skill required for problem solving in mathematics and science. Eye movements of 40 university students were recorded while they were rearranging simple algebraic equations. The participants also reported on their strategies during equation solving in a separate questionnaire. The analysis of the behavioral…

This study was designed to forge stronger theoretical and empirical links between achievement goal theory and attribution theory. High school students ("N" = 224) completed a self-report survey that assessed 3 types of achievement goals, 7 types of attributions, and self-efficacy. Results indicated that students' adoption of achievement…

The authors completed a narrative review of studies of mathematics interventions from 1996 to 2010 for helping elementary school students with difficulties in mathematics solve word problems. Key instructional components supported by research are teaching cognitive and metacognitive skills; schema-based instruction focusing on semantic analysis,…

This paper examines various cognitive strategies applied while CAS (Computer Algebra System) are used in undergraduate-level engineering mathematics teaching and learning. We posed some questions in relation to such CAS use: What kind of tools can CAS offer to enhance different cognitive strategies of students? How can the use of CAS widen the…

How the self-explanation process relates to learning and subsequent problem-solving performance was studied in two experiments with college students to examine whether students taught to self-explain during a study phase show greater test gains than control group counterparts; this is an attempt to replicate the results of M. T. H. Chi and others.…