I-MATH
Setting the Stage
Mathematics is a living thing: growing, changing, evolving. New
mathematics is being created every day, by scholars, by teachers, and
even by students. New media and methods of investigating, creating,
and discovering mathematics have enriched and accelerated this
process. These media and methods include investigations via
interactive geometry software such as The Geometer's Sketchpad®,
communication via email and web pages, and access to information via
the vast resources of the World Wide Web.
The purpose of tthese web pages is to assist mathematics teachers in creating curricula for their students based on Imagination, Investigation, Interaction and Illumination, as described below:
Imagination: thinking outside the box, thinking creatively, dreaming up new projects and new methods of teaching, learning, and communicating
Investigation: hands-on exploration of mathematics - what can you discover? where do your discoveries lead? what connections are there?
Interaction: collaboration among colleagues and among students - communicating, questioning, listening, gaining knowledge and new ideas
Illumination: discovering principles, connections and applications across the curriculum and in "real life", communicating what you have learned
All four of these relate directly to the NCTM Principles and Standards for Mathematics.
The four keywords in I-MATH, Investigation,
Imagination, Interaction and Illumination are intertwined. One does
not come before or after the other. But, practically speaking, we
must do one thing and then another. So there may be some repetition,
and we may need to "jump around" a bit in these web pages.
Fortunately, linking makes these "jumps" easy. So please accept this
as part of I-MATH.
