MS-6 Linear Algebra Education (Education)

Organizers: Rachel Quinlan (National University of Ireland Galway, Ireland) and Megan Wawro (Virginia Polytechnic Institute and State University)

Linear algebra is at the heart of a university mathematics curriculum, and a deep understanding of the subject is central to a student’s success in mathematics and mathematics-intensive degrees. In accordance with the ILAS 2017 theme of Connections, the broad theme of the Linear Algebra Education mini-symposium is to explore the connections between teaching and research within undergraduate linear algebra. Thus, we invite experts from around the world to present insights they have developed through their own pedagogy or through their research on teaching and learning in linear algebra. Topics may include, but are not limited to: the role of visualization in learning concepts, advances in the use of technology in teaching and learning, the role of proofs in learning concepts, the importance of exposure to real world applications and suggested examples, curricular resources for student-centered instruction, and insights regarding how students make sense of particular concepts as they learn.


Christine Andrews-Larson, Solving Linear Systems: Reconstructing Unknowns to Interpret Row Reduced Matrices

Hamide Dogan, Multi-Faceted Nature of Matrices

Ana Paulina Figueroa, Multiplying Matrices: an activity based approach.

Guershon Harel, The Learning and Teaching of Linear Algebra Through the Lenses of DNR-Based Instruction in Mathematics

Damjan Kobal, Visualizations and the Concept of Proof in Basic Linear Algebra Teaching

Carlos Nicolas, Teaching combinatorial convexity applications in an undergraduate linear algebra class.

Helena Smigoc, Using Nonnegative Matrix Factorization to Analyze a Set of Documents

Sepideh Stewart, Embodied, symbolic and formal worlds: A basis for the vector space of mathematical thinking

David Strong, Motivating Examples, Meaning and Context in Teaching Linear Algebra

Maria Trigueros, Students’ learning through a modeling course on elementary Linear Algebra

Megan Wawro, Inquiry-Oriented Linear Algebra: An overview and an example