11 Non-linguistic symbols

Four quesons 1 2 3 what is the format of mental abacus

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Unformatted text preview: rawings, words) provide units that can be manipulated in cognition Today: an ancient symbol system “abacus” The cultural origin of mathema)cs Roman hand abacus Babylonian Salamis tablet ~300BC Russian Schoty Chinese abacus Japanese soroban 5 1 1 2 3 4 5 6 7 8 9 h]p://www.tux.org/~bagleyd/java/AbacusAppJP.html Physical and mental abacus use physical abacus mental abacus Ques)on Given known limits on visual attention of 3-4 objects, how to children keep track of so many objects? Four ques,ons 1.  2.  3.  What is the format of mental abacus representa)ons? 4.  Does learning abacus make you be]er at math? Can abacus representa)ons be used in the absence of language? What are kids doing with their hands?!? Ques,on 1: Structure of mental abacus Basic ques,on: 1. How do you recognize so many beads if you can only subi)ze 4- 5 objects? What are the limits of this system? Task 1: Rapid addi)on +1 5 6 +12 25 37 +132 351 483 +7462 2318 9780 6,-7,(4.7/--,74 Most kids can do addi,on for 3- 4 columns ''$' ''$! ''$" ''$# ''$8 ''$9 '''$ ' ' ' ' ' ' ' $%& $%& $%& $%& $%& $%& $%& $ $ $ $ $ $ ! " ()*+,-./0.123245 '''' # ! " # ! ''': " # ! '''" " # ! '''& " # ! '''# " # $ ! '''; " # '''9 ' ' ' ' ' ' ' $%& $%& $%& $%& $%& $%& $%& $ $ $ $ $ $ ! " # ! ''!$ " # ! ''!! " # ! ''!: " # ! ''!# " # ! ''!; " # $ ! ''!9 " # '':$ ' ' ' ' ' ' ' $%& $%& $%& $%& $%& $%& $%& $ ! " # $ ! '':' " # $ ! '':! " # $ ! '':" " # $ ! '':# " # $ ! '':; " # $ ! '':9 " # ''"$ ' ' ' ' ' ' ' $%& $%& $%& $%& $%& $%& $%& $ $ $ $ $ $ ! " # ! ':$' " # ! ':$! " # ! ':$" " # ! ':$& " # ! ':$8 " # $ ! ':$9 " # ':'' ' ' ' ' ' ' ' $%& $%& $%&...
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This document was uploaded on 01/30/2014.

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