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During the event, Shad Moarif, the founder of
, 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:
What types of the Grid do you see from the pedagogical perspective?
Discussions beginning before the event
"Math, Math Education, Math Culture" group
Math Future email group:
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
Follow this link at the time of the event:
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
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
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.
Karismath mediates visually between Math and the learner. It makes math concepts visible, accessible and useable. Learners delve deeper behind the numerical surface of mainstream Math to explore visual constructs of concepts. The use of visual scaffolding traces this natural path of learning. Initially using imagery but no numbers, the program gently moves learners to abstract concepts and mathematical operations. Designed for all whom the curriculum has failed.
Karismath YouTube channel offers free lessons
, Ed.M., President, CLSO Learning Systems Inc. is the developer of the Karismath program.
Shad is a Harvard graduate who was a student of Dr. Jeanne Chall (of the Harvard Literacy Lab) and also of Dr. David Rose, Professor of Neurosciences at Harvard Univerity, and the pioneer of Universal Design in Learning, or UDL. He has a background in Science, Psychology, Reading and Mathematics.
An ardent advocate of UDL himself, Shad’s work has been influenced by his 35 years of teaching Math and Language to children (and adults) with learning difficulties. He was Vice-President of the International Dyslexia Association (British Columbia), and also served as a member on IDA (BC) Advisory Board.
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