This article presents an inquiry-oriented lesson for teaching Lagrange's theorem in abstract algebra. This lesson was developed and refined as part of a larger grant project focused on how to "Orchestrate Discussions Around Proof" (ODAP, the name of the project). The lesson components were developed and refined with attention to how well…

In postsecondary Science, Technology, Engineering, and Mathematics (STEM) education, equity issues regarding race and gender receive attention. On this attention, it is suggested to view from the sociopolitical perspective--mathematics is political, mathematics education is political, and equity is defined with the critical dimension of identity…

The focus of this study was to examine the effect of teaching based on inquiry-based learning versus traditional learning on mathematics achievement scores of undergraduate students enrolled in a college algebra class in a university classified as a Predominantly Black Institution. A college algebra course was chosen in this study due to the…

"Epistemological justification" is a way of thinking that manifests itself through perturbation-resolution cycles revolving around the question "why and how was a piece of mathematical knowledge conceived?" The paper offers a conceptual framework for constituent elements of epistemological justification. The framework provides:…

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…

Online collaborative learning (OCL) based on the community of inquiry (CoI) framework is often implemented in the form of an online discussion activity for teaching subjects that require learners to revise their understandings and invent ways to solve problems. However, implementing OCL is challenging due to the difficulty of fostering…

[This paper is part of the Focused Collection on Instructional labs: Improving traditions and new directions.] This paper presents a historical analysis of the development, implementation, research, and assessment of an evidence-based introductory algebra-based physics course. The course is laboratory based and taught with an inquiry-based…

The purpose of this explanatory, sequential mixed-methods (QUAN [right arrow] qual) study was to investigate undergraduates' attitudes toward mathematics and perceptions of a community of inquiry in the fully online (FO) mathematics learning environment. Specifically, the study aimed to learn more about relationships between undergraduates'…

Inquiry-based mathematics education (IBME) includes features such as: (a) Using tasks with authentic problem contexts, (b) building on students' everyday resources, (c) relying on small-group and whole-class discussions, and (d) establishing certain norms of participation for the inquiry classroom community (Laursen & Rasmussen, 2019). Prior…

Inquiry-based mathematics education (IBME) includes features such as: (a) Using tasks with authentic problem contexts, (b) building on students' everyday resources, (c) relying on small-group and whole-class discussions, and (d) establishing certain norms of participation for the inquiry classroom community (Laursen & Rasmussen, 2019). Prior…

This study investigated the role of online applets in early algebra lessons. The effect of two different types of intervention modules on developing students' early algebraic thinking abilities was compared. The first intervention module involved the use of open applets and real-life contexts (open-real). The second intervention module involved…

The problem addressed in this study was that some high school students do not have the math skills needed to succeed in a traditional chemistry class. If instructional strategies are not changed, many students who struggle with algebra will also struggle to master the chemistry content which is a required high school subject in Arizona. The…

This program focused on improving mathematics content and pedagogy for fifth-grade teachers, including regular classroom teachers and exceptional education teachers, as they implemented the Common Core State Standards (CCSS) for Mathematics. Concentrating work with a single grade allowed for tightening breadth while increasing depth of content.…

Games have shown to be great tools for learning a variety of topics, but few games have been developed mathematics topics at the undergraduate level. One possible avenue is to pursue digital game-based learning. The game "Vector Unknown" was designed from a task from the Inquiry-Oriented Linear Algebra (IOLA) curriculum to connect…