This is a challenge from Math Future online event series. Shad Moarif will introduce the Karismath project. You are invited to brainstorm about grids. 

The recording will be at http://mathfuture.wikispaces.com/Karismath All events in the Math Future weekly series: http://mathfuture.wikispaces.com/events

How to join

• Follow this link at the time of the event: http://tinyurl.com/math20event
• Saturday, January 14th 2012 we will meet online at 11 am Pacific, 2 pm Eastern time. WorldClock for your time zone.

The GRID as Pedagogical Tool

Shad explains in more detail:

The grid, composed as it is of horizontal and vertical “bands”, produce trapped spaces of specific sizes:
These spaces represent the congruency of a pair of simultaneously existing elements (a) and (b).
There is an obvious connection between the product cell (ab) and the simultaneity of two bits of information coexisting within it. The connections take multiple forms. The grid, therefore, is generically designed as a tool for creating mathematical content (the Math itself) as well as explaining it (pedagogy).
I am exploring ways of categorizing types of Grids from "an ordered pair" perspective i.e. (x) ascending levels of cognitive development (Elementary to High School), and (y) rising levels of mathematical complexity:

1. Grid for Analysing Visuo-Spatial Correspondence
2. Grid for Pairing People with Corresponding Activities
3. Grid for Pairing Abstract Values and their Quantity
4. Grid for Product Relationships
5. Grid for Displaying Identical and Similar
6. Grid for Intepreting Data
7. Grid for Representing Ordered Pairs
8. Grid for Displaying Transformations
9. Grid for Measuring Slopes
10. Grid for Measuring Length of Straight Lines
11. Grid for Visualising Functions