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10 Apr 2019, 23:58
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
68% (02:05) correct
32%
(02:17)
wrong
based on 1033
sessions
History
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Time
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Not Attempted Yet
The graphical illustrations mathematics teachers use enable students to learn geometry more easily by providing them with an intuitive understanding of geometric concepts, which makes it easier to acquire the ability to manipulate symbols for the purpose of calculation. Illustrating algebraic concepts graphically would be equally effective pedagogically, even though the deepest mathematical understanding is abstract, not imagistic.
The statements above provide some support for each of the following EXCEPT:
(A) Pictorial understanding is not the final stage of mathematical understanding.
(B) People who are very good at manipulating symbols do not necessarily have any mathematical understanding.
(C) Illustrating geometric concepts graphically is an effective teaching method.
(D) Acquiring the ability to manipulate symbols is part of the process of learning geometry.
(E) There are strategies that can be effectively employed in the teaching both of algebra and of geometry.
The statements above provide some support for each of the following EXCEPT:
(A) Pictorial understanding is not the final stage of mathematical understanding.
(B) People who are very good at manipulating symbols do not necessarily have any mathematical understanding.
(C) Illustrating geometric concepts graphically is an effective teaching method.
(D) Acquiring the ability to manipulate symbols is part of the process of learning geometry.
(E) There are strategies that can be effectively employed in the teaching both of algebra and of geometry.
XyLan
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14 Apr 2019, 13:26
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Bunuel
Bunuel I understand how B is the correct option, which CANNOT be inferred on the basis of the above data.
- However, I had a hard time rejecting E.
The Argument states:
- Illustrating algebraic concepts graphically would be equally effective, i.e.,
Graphical illustration is a way to teach both algebra and geometry. It is A Strategy.
E states:
- There are strategies that can be effectively employed in the teaching both of algebra and of geometry.
- There are multiple strategies that can be effectively employed in the teaching both of algebra and of geometry.
There is ONLY 1 strategy which is discussed.
Hence, the use of strategies ( plural-form ) is something, which we CANNOT infer.
Would be great if you can shed some light!
14 Apr 2019, 13:40
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Xylan
E is tricky but you can sort of consider graphically and then being able to manipulate symbols as a bit more than 1 strategy. Basically graphical representation opens the door for options.
It's a bit gray I know.
But remember the question stem stays SOME support...which E has but B doesnt
But when you compare it to B...its easier to eliminate E. B cannot be supported at any cost.
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