This study contributes to the literature on linear algebra instruction by designing and researching a teaching sequence based on APOS Theory to introduce engineering students to vector spaces. The sequence offers students multiple opportunities to understand the concept. Another contribution is the evidence that introducing prerequisite…

This scholarly inquiry critically examines the pedagogical aspects pertaining to the instruction and acquisition of Abstract Algebra within the realm of University Mathematics Education (UME). Drawing upon multiple lenses, including epistemological, cognitive, phenomenological, and institutional perspectives, this study investigates the formidable…

This study evaluates the effectiveness of inquiry-oriented instruction in introductory linear algebra classes by comparing the performance of students who learned introductory linear algebra concepts in inquiry-oriented settings (TIMES students) with the students who attended other linear algebra classes (Non-TIMES students). We used the…

We describe the process of adjusting the balance between computer-based learning and peer interaction in a college algebra course. In our first experimental class, students used the adaptive-learning program ALEKS within an emporium-style format. Comparing student performance in the emporium format class with that in a traditional lecture format…

Knowledge assessments in undergraduate mathematics education commonly evaluate response correctness to determine learner proficiency. However, simultaneous evaluation of learner metacognition more accurately assesses the multiple dimensions of knowledge and has been shown to increase assessment validity and reliability. Research into…

This brief presents Youth Participatory Action Research (YPAR) as a transformative exploratory tool for critical and curious educators. YPAR has been defined as a collaborative method of youth, with the support of caring adults, participating in research to explore social issues that impact them, with the end goal of taking action to improve the…

At a research university near the east coast, a college algebra class has been restructured into two large lectures a week, an active recitation size laboratory once a week, and an extra day devoted to active group work called Supplemental Practice (SP). SP was added as an extra day of class where the SP leader has students work in groups on a…

This study aims to find out the dominant factors that cause students' difficulties in learning abstract algebra. The factors investigated in this study focused on attitude, motivation, prior knowledge, lecturer performance, learning methods, as well as teaching materials. This study is a descriptive research using a survey method. We involved 30…

In this work, we studied the use of open education resources (OER) in the form of online modules combined with an open textbook as it relates to student performance and perceptions in a Linear Algebra course. In this approach, we compared student performance and perceptions from three sections of this intermediate level mathematics course. One was…

At present, a new generation of students is studying at universities with their specific abilities and skills. In addition to hard skills, potential employers also require significantly developed soft skills from their employees. The school, and not just the university, is entering this process in a different position than in the past due to the…

This discussion explored the integration of creative thinking pedagogy and the anthropological theory of didactics in university-level algebra education, emphasizing the importance of understanding the perspectives of both learners and teachers. The work began by highlighting the necessity of considering these viewpoints to create effective and…

The purpose of this study was to examine the impact and interactions of student-centered instructional techniques on College Algebra student engagement, mathematics attitudes, and achievement. At my place of practice, instructional shifts towards student-centered and social-efficiency models of instruction are taking place, supported by…

The study examines the impact of APOS theory on students' achievement in Elementary Linear Algebra (ELA) in accordance with their adequate prior knowledge (APK) and inadequate prior knowledge (IAPK). The mixed methods were used to determine the problem-solving test in ELA. Data were obtained from 65 industrial engineering students at Andalas…

This research was purposed to develop module and learning model and instrument of proofing ability in algebra structure through cooperative learning with helping map concept media for students of mathematic major and mathematics education in State University and Private University in North Sumatra province. The subject of this research was the…

Process-Driven Math is a fully audio method of mathematics instruction and assessment that was created at Auburn University at Montgomery, Alabama, to meet the needs of one particular student, Logan. He was blind, mobility impaired, and he could not speak above a whisper. Logan was not able to use traditional low vision tools like braille and…