Linear Algebra with GeoGebra
Transforming Linear Algebra Education with GeoGebra Applets
James D. Factor (PI); Susan Pustejovsky (Co-PI), Alverno College
NSF TUES Grant Award ID: 1141045
Transforming Linear Algebra with GeoGebra
Objectives
- Promote a deeper understanding of linear algebra and its applications
- Actively engage the student in exploring concepts
- Help the student visualize linear algebra operations
- Foster deeper understanding of algebraic, geometric, and numeric perspectives of linear algebra
GeoGebra Applets
- Applet packages for 12 areas of linear algebra
- 2D and 3D interactive animation applets
- Instructional support for each linear algebra package
Note: The material below consists of old draft versions. This section will be updated.
Applet Topics
- Exploring basic operations of vectors in R2 and R3
- Exploring basic geometric operations of vectors in R2 and R3
- Illustrating geometric approaches to the proof of key properties
- Geometric illustration of linear combinations and coordinates
- Linear systems of equations
- Spanning spaces in R2 and R3
- Spanning subspaces in R2 and R3
- Row, column, and null subspaces
- Linear transformations in R2 and R3
- Geometric illustration of eigenvalues, eigenvectors, and eigenspaces
- Geometric application of determinants
- Orthogonal and orthonormal basis