# Karismath

During the event, Shad Moarif, the founder of Karismath, will lead brainstorming about mathematical videos and dynamic mathematics in general.

## Full recording: animations, voice, text chat

All events in the Math Future weekly series: http://mathfuture.wikispaces.com/events

## Event challenge!

What types of the Grid do you see from the pedagogical perspective?

Discussions beginning before the event
This wiki: discussion tab http://mathfuture.wikispaces.com/message/list/Karismath
P2PU challenge: http://p2pu.org/en/groups/grids-mathematics-and-pedagogy/

In a grid, there is an obvious connection between the product cell and the simultaneity of two bits of information coexisting within it. Shad is exploring ways of breaking this connection down into a sequence of transitional steps by distilling them visually. Shad has categorized the Grid into eleven types according to their uses for storing, sorting, and displaying numerical information (see below).

What pedagogical types of the Grid come to your mind?

## How to join

• Saturday, January 14th 2012 we will meet online at 11 am Pacific, 2 pm Eastern time. WorldClock for your time zone.
• Run the Java applet and follow instructions.
• If this is your first time, come a few minutes earlier to check out the technology. The room opens half an hour before the event.

## The GRID as Pedagogical Tool

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

The idea is achieve as much accuracy as possible in pairing x and y. All the courseware that envelopes and integrates the use of the grid has to be created and explained simultaneously via animation, and accurate pairing is integral to designing the courseware.

This webinar is to invite ideas, insights and suggestions regarding my Grid Categorization, more specifically around the labels I have used.