This site contains an interactive animation that allows students to visually explore the two dimensional transformations of the plane caused by three dimensional matrices
Type of Material:
Interactive app with animated graphs, video and text.
This site can be used for in- class demonstration or for independent student exploration.
Any Internet browser.
Identify Major Learning Goals:
To visually explore rotation, shear, reflection, and translation of the plane by a linear transformation given as a matrix.
Target Student Population:
Students in appropriate linear algebra class.
Prerequisite Knowledge or Skills:
Knowledge of Matrices
as linear transformations, understanding of homogeneous coordinates, and transformations of the plane.
The site is an excellent, focused exploration of a single technique: transformations of the plane caused by three-dimensional matrices. It provides the opportunity to visually explore the method with self-supplied matrices, starting from a default unit square or a self-drawn figure. It also includes a video tutorial that explains how to use the animation tool. There is a link to a Wikipedia explanation of the mathematical background.
Some instructors might be concerned about referring students to Wikipedia.
Potential Effectiveness as a Teaching Tool
This is an excellent supplementary resource for in-classroom demonstration or for independent student exploration. It is simple to use, visually appealing and provides ample user control of features.
Area of focus is very narrow and assumes strong student background to explore effectively.
Ease of Use for Both Students and Faculty
The site is intuitive and easy to use. The linked video tutorial also provides an excellent back-up resource for anybody needing help with their self-exploration.
While the site is easy to use for its narrowly-focused exploration, understanding the related mathematics may be difficult for most students.
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