Conceptual Online Linear Algebra

The goal of this project is the development of conceptually-based, online linear algebra modules that combine the power of platform independent applets and cognitively-guided activities in order to build a local cognitive theory for various concepts in elementary linear algebra. These modules are designed for students to explore, experiment, conjecture, discuss, and extend their understandings from the concrete to the abstract. Except those applets dealing with Gaussian elimination, these tools are not typically for computation since applets for computation can be found at the Linear Algebra Toolkit web site. For samples of student work with some of these modules, see Meel & Hern (2005).

Anticipated Timeline

Anticipated Instruments:

  1. Module 1: Systems of Equations

  2. Module 2: Linear Transformations and Composition of Transformations

  3. Module 3: Vector Spaces

  4. Module 4: Eigenvalues, Eigenvectors, Diagonalization, and Discrete Dynamical Systems

  5. Module 5: Singular-Value Decomposition

  6. Module 6: Application-based activities for Linear Algebra