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Maria Trigueros (Benemérita Universidad Autónoma de Puebla, México)5/18/26, 11:25 AMLinear Algebra EducationMinisymposium Talk
The use of real or realistic problems to introduce university students to linear algebra concepts through modeling has proven effective in stimulating student learning. We present an experience based on mathematical modeling and APOS theory (Action, Process, Object, and Schema) to introduce the concepts of matrix transformation and inverse matrix transformation in the context of an...
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Megan Wawro (Virginia Tech)5/18/26, 11:50 AMLinear Algebra EducationMinisymposium Talk
The Inquiry-Oriented Linear Algebra (IOLA) project is a research-based, student-centered approach to the teaching and learning of introductory linear algebra. The IOLA curricular materials build from a set of experientially real tasks that allow for active student engagement in the guided reinvention of key mathematical ideas through student and instructor inquiry. The online instructional...
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Prof. Conrad Plaut (University of Tennessee--Mathematics)5/18/26, 3:45 PMLinear Algebra EducationMinisymposium Talk
Modern technology is most often employed in two ways in math education: to enhance explanations (e.g. animated videos or widgets), or to find solutions and calculate answers. The fact that students sometimes do poorly even when taught by excellent teachers shows the limitations of the first strategy. The second strategy, which has been made incredibly easy by generative AI, is increasingly...
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Jeffrey Stuart (Pacific Lutheran University)5/18/26, 4:10 PMLinear Algebra EducationMinisymposium Talk
Traditionally, half or more of a first course in linear algebra has been devoted to the theory and machinery required to solve linear systems and to find bases for the four fundamental subspaces associated with a matrix. At the heart of this is the Gauss-Jordan algorithm, used to construct the reduced row echelon form (RREF) of a matrix. Far too many students complete their only linear algebra...
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Martijn Boussé (Maastricht University)5/18/26, 4:35 PMLinear Algebra EducationMinisymposium Talk
Linear Algebra is a core mathematics course in numerous undergraduate programs, yet students often struggle with its abstract nature and with recognizing key connections between topics. This lack of conceptual coherence motivates the need for innovative teaching approaches that make linear algebra more accessible, engaging, and meaningful.
We developed a Linear Algebra card game grounded in...
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Fuzhen Zhang (Nova Southeastern University)5/19/26, 11:00 AMLinear Algebra EducationMinisymposium Talk
Linear algebra is fundamental to mathematics and has wide-ranging applications in science, engineering, and data analysis. As a core mathematical subject, it is taught to students at both the high school and college levels, not only in mathematics but also across the sciences. Is linear algebra easy? It may not be as easy as it sounds. Is teaching linear algebra easy? It may not be as easy as...
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Christine Andrews-Larson (Florida State University)5/19/26, 11:25 AMLinear Algebra EducationMinisymposium Talk
Linear algebra enrollments are increasingly comprised of students from applied STEM majors. Little research has systematically examined the ways in which the curricular resources commonly used in first linear algebra courses relate to the linear algebra applications encountered by students from applied fields in their subsequent coursework and career fields. In this talk, we will summarize...
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Guershon Harel (University of California, San Diego)5/19/26, 11:50 AMLinear Algebra EducationMinisymposium Talk
As students transition from the mathematics they learn in school years, including their first-year calculus courses, to the first course in linear algebra, they experience discontinuities in their perspective of what mathematics is. Their propensity to continue applying the same habits of learning in the face of this change leads to failure and frustration. The failure manifests itself in the...
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Dr Asuman Oktaç (Cinvestav)5/19/26, 3:45 PMLinear Algebra EducationMinisymposium Talk
In the first part of the talk, I will briefly explain the APOS (Action—Process—Object—Schema) theory and how it is applied to the teaching of mathematical concepts as well as to research on learning. In this approach, the mental construction of a mathematical concept is modeled by means of structures that give the theory its name, and mental mechanisms that allow the passage to new structures....
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Sima Ahsani (Washington and Lee University)5/19/26, 4:10 PMLinear Algebra EducationMinisymposium Talk
This talk will discuss the integration of undergraduate research and project-based learning in both abstract and computational linear algebra. Specifically, it will highlight a research training course focused on the mathematical foundations of machine learning and the analysis of human brain connectivity.
Throughout a summer research program and a Python-based numerical linear algebra...
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Matthew Mauntel (Tarleton State University)5/19/26, 4:35 PMLinear Algebra EducationMinisymposium Talk
In this talk, we will discuss a game within the video game Vector Unknown:Echelon Seas (VUES) that focuses on matrix multiplication. VUES was designed by a group of students at Arizona State University in collaboration with mathematics educators and computer scientists. The 3D video game allows students to select one of four matrices (represented by cannonballs) and one of four vectors...
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Matthew Park (Virginia Tech)5/19/26, 5:00 PMLinear Algebra EducationMinisymposium Talk
Symplectic linear algebra has had profound connections in many areas of math and physics. Despite this, the subject remains outside the scope of standard linear algebra education. In this talk, I propose motivating the subject via the study of complex coordinate space as the canonical symplectic vector space and argue its approachability for an undergraduate audience. I argue this by...
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Günhan Caglayan (New Jersey City University, Mathematics Department)5/20/26, 10:45 AMLinear Algebra EducationMinisymposium Talk
Symmetric (real) and Hermitian (complex) matrices occupy a central role in linear algebra due to their well-known spectral properties, including real eigenvalues and mutually orthogonal eigenvectors. While these results are theoretically elegant, students often struggle to develop geometric intuition for eigenvalues, eigenvectors, and matrix transformations, especially in higher...
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Anna Davis (The Ohio State University), Paul Zachlin (Lakeland Community College)5/20/26, 11:10 AMLinear Algebra EducationMinisymposium Talk
In January 2023, the authors published the second edition of Linear Algebra: An Interactive Introduction, which the speaker shared at the ILAS Education Session at JMM in Boston.
Thanks to a $ 2.1 million grant from the United States Department of Education entitled “Fortifying Open Education: Scaling Ximera for Enduring Impact”, the authors have been able to enhance the online textbook in...
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Prof. Sepideh Stewart (University of Oklahoma)5/20/26, 11:35 AMLinear Algebra EducationMinisymposium Talk
This talk describes the design and features of a newly developed undergraduate course in numerical linear algebra and an accompanying instructor-led research study that examines how students engage with theoretical structure and computational behavior in AI-supported environments.
This course offered an introduction to numerical linear algebra, focusing on its theoretical foundations,...
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