Brittany W.

asked • 10/10/12

three times two A

three times two a

5 Answers By Expert Tutors

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Jon C. answered • 10/11/12

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Former Math Curriculum Specialist

Creston L. answered • 10/10/12

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Math/Science Tutor. Elementary-High School and College Freshmen.

Christopher M. answered • 10/10/12

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Rick N. answered • 10/11/12

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5 (1)

SAT, GMAT Preparation and General Subject Assistance

Jon C.

Clearly thats the shortcut... but why a student may ask. Why does that work like that? I've had students give me answers like " well three times two A means 3•A•A " OR " 3 times 2A = (3)(2)(1) = 6".  These students may not be able remember "add the a at the end" because they don't know why they are doing it... my ten cents. Don't get me wrong, I'd do it your way, but when a student is first learning, they should be introduced to different methods until they find one that works for them, yours included and for many, that end all be all method.

Good answer Rick.  I just don't think it would work for everyone.

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10/11/12

Rick N.

Jon,

I am with you on method.  However, from experience, the proof is in the pudding.  Getting the right answer is better than knowing how the system is designed.  Sometimes intuition is a good way to go.

Not a pedagogue myself, but I have helped many kids with homework, and they usually respond better, and perform better, when things are made simple.  That's why I don't teach Russian grammar until kids get a grasp on basic vocabulary.

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10/11/12

Jon C.

I appreciate the response and you're making perfect sense.  But I do believe there are situations where understanding WHY can save alot of time and headaches memorizing every little math trick, loophole, equation, etc.  

 

Like with 3D geometry: I think its more important to know why the volume of a cylinder is V =(pi)r^2•h.  If you break this down, first part is the area of a circle.... "h" represents how many circles are stacked onto each other....

But all in all, the teaching method here greatly depends on the students capability and willingness to learn rather than pass a test....  There will never be a simple or best way answer to any of these questions since everyone understand things differently.  You need that one on one time, or just SPEAK UP IN CLASS!!!!

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10/11/12

Rick N.

Yes, it alsways goes back to basics.  So long as r and h are in the same units, and you don't forget to raise the power to accommodate the 3d dimension....all good...

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10/11/12

Jon C.

Good eye Rick.

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10/11/12

Rick N.

Always hated math teachers....  Look at some of the commentary on here about a simple problem.

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10/11/12

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