Linear Algebra, Student Thinking, and Classroom Activities (Impact: Interweaving Mathematics Pedagogy and Content for Teaching)

Linear algebra is a cornerstone of mathematics, yet its teaching and learning present unique challenges. This book invites readers to explore how linear algebra concepts can be introduced and developed through engaging activities, real-world applications, and the integration of technology in the classroom. Delving into key topics such as systems of linear equations, linear transformations, determinants, eigen theory, and vector spaces, the book bridges theory and practice. It provides field-tested activities that engage student thinking, offering instructors adaptable tools to foster conceptual understanding. Additionally, it presents recent research findings, making them accessible to educators and researchers alike. By focusing on task design, student interaction, and instructor facilitation, the book demonstrates how these elements can work together to enhance learning. Researchers will also find a comprehensive overview of studies on linear algebra education, with a focus on tasks and tools that promote meaningful engagement. This highly practical book is an indispensable resource for educators, researchers, and general readers looking to transform linear algebra instruction and enhance student engagement.