This paper explores magical realism as a theoretical lens for analysing mathematics classrooms. Traditional frameworks often overlook the complexities of teaching and learning, focusing solely on measurable aspects. Inspired by magical realism -- a literary genre blending the fantastical and the everyday -- I propose a new perspective on how…

Traditional mathematics instruction often fails to address the diverse learning needs of students, leading to frustration and disengagement. This study proposes personalized learning, emphasizing sequential learning, diagnostic assessments, and technology to tailor instruction. This research examines the potential of personalized learning to…

The degree of element interactivity determines the complexity and therefore the intrinsic cognitive load of linear equations. The unpacking of linear equations at the level of operational and relational lines allows the classification of linear equations in a hierarchical level of complexity. Mapping similar operational and relational lines across…

As an alternative to looking solely at linear functions, a three-lesson learning progression developed for Year 6 students that incorporates triangular numbers to develop children's algebraic thinking is described and evaluated.

We propose to mine temporal patterns in Intelligent Tutoring Systems (ITSs) to uncover useful knowledge that can enhance their ability to provide assistance. To discover patterns, we suggest using a custom, sequential pattern-mining algorithm. Two ways of applying the algorithm to enhance an ITS's capabilities are addressed. The first is to…

The purpose of this study was to examine the effects of grade-aligned math instruction on math skill acquisition of four middle schools with moderate intellectual disability. Teachers were trained to follow a task analysis to teach grade-aligned math to middle school students using adapted math problem stories and graphic organizers. The teacher…

This article presents a graduated word problem sequence in mathematics, beginning with simple words; progressing to phrases, sentences, and paragraphs; advancing to paragraph word problems with extraneous information; and finally having students create their own word problems. Results from 67 elementary students with learning disabilities support…

Upon entry to New River Community College (NRCC), placement tests are administered to students enrolling in curricula and to students enrolling in English and mathematics classes. Based on preestablished cutoff scores on the placement tests, students are advised by counselors to take appropriate courses. In 1990, NRCC tracked students from…