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Math Expert V
Joined: 02 Sep 2009
Posts: 58402
The graphical illustrations mathematics teachers use enable students  [#permalink]

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Difficulty:   55% (hard)

Question Stats: 59% (02:02) correct 41% (02:27) wrong based on 140 sessions

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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.

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Status: The darker the night, the nearer the dawn!
Joined: 16 Jun 2018
Posts: 179
Re: The graphical illustrations mathematics teachers use enable students  [#permalink]

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Bunuel wrote:
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.

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!
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Manager  S
Joined: 04 Sep 2016
Posts: 66
Location: Germany
GPA: 3
The graphical illustrations mathematics teachers use enable students  [#permalink]

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Xylan wrote:
Bunuel wrote:
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.

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!

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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Joined: 01 Sep 2010
Posts: 3397
The graphical illustrations mathematics teachers use enable students  [#permalink]

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A common mistake by the students is that they look at the question, every comma one millimeter apart, every word that is not a copycat both in the stimulus and the stem.

Losing the grasp of the big picture.

(E) There are strategies that can be effectively employed in the teaching both of algebra and of geometry.

Yes, the argument talks about this, saying that an essential strategy is to show graphically the learning process. However,m this is not the entire story because many concepts are abstract in the logic chain.

That's it. Choose B. Confirm. and move on.

I hope this helps you out.

Regards
_________________ The graphical illustrations mathematics teachers use enable students   [#permalink] 14 Apr 2019, 13:43
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