Representation Reading ECI 314 Early Childhoodhood Mathematics

Those who can think eight represent this idea first

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Unformatted text preview: s ability to think simultaneously about numerical quantity and object-type. Theoretical Foundation 24 The arrows in Figure 2.1 labeled “Draw, etc.” and “Writes” going out from the child’s idea indicate that when children represent their ideas on paper, they externalize their ideas at their respective levels of abstraction. Those who think “a whole bunch” represent this idea. Those who can think “eight” represent this idea, first by still paying attention to individual objects and later by thinking about the totality. “MANIPULATIVES” A new trend appeared in the 1990s called “manipulatives.” The rationale for manipulatives remains vague, in my opinion, but it seems to be rooted in the belief that children go from the “concrete” to the “semiconcrete” and then to the “abstract.” Manipulatives are concrete and therefore believed to give a bet­ ter foundation for understanding mathematical signs. Counters are generally thought to be manipulatives, but it is theoretically more correct...
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This document was uploaded on 03/13/2014.

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