Thursday, September 9, 2010

EDU330 Elementary Mathematics - 8th September 2010 (D)

Further to the pictorial representation (using sticks), I personally feel that the five tasks should be sequenced as follows:

1)  Place Value Chart
2)  Numbers in Tens & Ones
3)  Expanded Notation
4)  Numbers in Numerals
5)  Numbers in Words

Standing from a learner's point of view, after looking at the pictorial representation, it gave me an impression that there are 3 sets of ten-sticks and 4 individual sticks. The task that best represent this idea is the "place value chart" whereby it transforms the sticks into numbers in tens and ones but still presenting it with a picture-liked diagram. The next task, "numbers in tens & ones" brings the learner further away from the picture concept but nearer to the "tens & ones" idea. The third task, "expanded notation" further transforms "tens" and "ones" into whole numbers, i.e. "30" & "4" in this case. The next task which combines the two numbers together forms the "number in numerals". By now the learner should be able to visualize "34" as putting together 3 sets of ten-sticks and 4 individual sticks. The last task which is "numbers in words" requires the learner to have some phonics and sight reading skills so as to relate it back to the number "34".

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