- LEarninG and tHinkinG witH tHinGs (^) | 123
 know my 1 ’s. so i move over 37 single beads. now, you have 37 and i
 have 37 , and maybe in a traditional learning environment we will both
 go to the next lesson. but should we?
 By observing how a student arrives at an answer, by monitoring move-
 ments of the mouse and what students “drag” over, the system can
 determine if someone has truly mastered the skill(s) needed to move
 on. This is certainly an inspiring example of adaptive learning, and a
 step forward toward the holy grail of personalized learning. But, it was
 the two words that followed that I found jarring: she described this
 online learning program, using a representation of the familiar count-
 ing beads, as virtual manipulatives. Isn’t the point of a manipulative
 that it is tangible? What is a virtual manipulative then, other than an
 oxymoron?
 But this did spark an idea: what if we could take the tangible count-
 ing beads, the same kind kids have been playing with for decades, and
 endow them with the adaptive learning properties Woolley-Wilson
 describes? How much better might this be for facilitating understand-
 ing? And, with the increasing ubiquity of cheap technology (such as
 RFID tags and the like), is this concept really that far off? Imagine get-
 ting all the sensory (and cognitive) benefits of tangible objects, and all
 the intelligence that comes with “smart” objects.
 EMBODIED LEARNING
 You might wonder, “Why should we care about tangible computing?”
 Isn’t interacting with our fingers or through devices such as a mouse or
 touchscreens sufficient? In a world constrained by costs and resources,
 isn’t it preferable to ship interactive software (instead of interactive
 hardware), that can be easily replicated and doesn’t take up physical
 space? If you look at how media has shifted from vinyl records to cas-
 sette tapes to compact discs and finally digital files, isn’t this the direc-
 tion in which everything is headed?
 Where learning and understanding is required, I’d argue no. And, a
 definite no wherever young children are involved. Piaget established
 four stages of learning (sensorimotor, pre-operational, concrete oper-
 ational, and formal operational), and argued that children “learn best
 from concrete [sensorimotor] activities.” This work was preceded by
 American psychologist and philosopher John Dewey, who empha-
 sized firsthand learning experiences. Other child psychologists such
                    
                      nandana
                      (Nandana)
                      
                    
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