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
Guershon Harel, The Learning and Teaching of Linear Algebra Through the Lenses of DNR-Based Instruction in Mathematics
Cathrine Kazunga, A Rasch Analysis for Teaching linear algebra concepts for the test or setting up students for failure: A case study of a university in a developing country
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