Linear Algebra, Student Thinking, and Classroom Activities

1. Auflage 2026
ISBN: 978-1-032-59387-6
Verlag: Taylor & Francis Ltd

Buch, Englisch, 256 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 453 g

Reihe: 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.

Zielgruppe

Professional Practice & Development, Professional Reference, and Professional Training

Autoren/Hrsg.

Zandieh, Michelle

Trigueros, Maria

Turgut, Melih

Fachgebiete

• Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)
• Sozialwissenschaften Pädagogik Schulen, Schulleitung Weiterführende Schulen

Inhaltsverzeichnis

1. Students, Activities and Learning 2. Systems of Linear Equations 3. From Linear Combinations to Basis 4. Linear Transformations 5. Compositions and Inverse 6. Determinants 7. Vector Space 8. Eigenvalues and Eigenvectors 9. Teaching Linear Algebra 10. Technology in Teaching and Learning Linear Algebra 11. Connecting Across Content

Über Autor(innen)

Michelle Zandieh is a Professor at Arizona State University, USA, who focuses on the teaching and learning of undergraduate mathematics courses such as linear algebra, calculus, and geometry. She is a co-author of the Inquiry-Oriented Linear Algebra curriculum. Her task design work includes the development of applets and digital games.

Maria Trigueros is a Professor of Mathematics Education at Meritorious Autonomous University of Puebla, México. Her research has mainly focused on the learning of linear algebra and multivariable calculus at the university level, and on the use of technology in schools.

Melih Turgut is an Associate Professor of Mathematics Education at the Norwegian University of Science and Technology, Norway. His research explores the integration of digital tools in the teaching and learning of linear algebra. He is also engaged in advancing teachers’ professional development, with a particular focus on programming practices.