- LEarninG and tHinkinG witH tHinGs (^) | 135
 Here’s a walkthrough of how the interactions might work:
 • Placing one of these knobs onto the surface of the iPad would pro-
 duce a glowing ring and the number 1.
 • Adding a second knob in close proximity would make this ring
 larger, encircling both knobs (and changing the number to 2 ).
 • Let’s suppose you added a third knob farther away, which would
 create a new ring with the corresponding number 1.
 • Now you have two rings, one totaling 2 , the other totaling 1. If you
 slide the lone knob close to the first two, you’d end up now with
 one ring, totaling 3. In this manner, and as you start to add more
 knobs (the iPad supports up to 10 , double that of other platforms),
 you start to learn about grouping.
 • In this case, the learning is quite concrete, with the idea of numeric
 representations being the only abstract concept. You could then
 switch to an addition mode that would add up the total of however
 many groups of knobs are on the surface.
 I could go on, but you get the idea. By simply placing and moving knobs
 on a surface the child begins to play with fundamental math concepts.
 As of this writing, we have proven out the functional technology, but
 have yet to test this with children. Although the app I’m describing
 could be built very quickly, my fundamental thesis is that by making
 these knobs something you can grasp, place, slide, move, remove, and
 so on, learning will be multimodal and superior to simply dragging flat
 circles behind glass.
 How does this stack up on the five principles?
 As with the earlier Teddy Grahams version, it is interactive and tangi-
 ble. Moving this game to a tablet device allows for self-directed learn-
 ing and feedback loops in the form of the rings and numerical values.
 As far as intelligence goes, there is no limit to the kinds of data one
 could program the iPad to monitor and act upon.
 So where might this thinking lead, one day?
                    
                      nandana
                      (Nandana)
                      
                    
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