Sunday, June 10, 2012

Geometric Proofs - Obstacle Into Objective


Song:  Theme From Batman Begins - Ending Theme

Artists:  Hans Zimmer and James Newton Howard



Alex could have finished Geometry long ago were it not for
Geometric Proofs.


The following is some advice given to a forum reader as given from a Doctor Jaffee:


--------------------




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I had to look up this on Google as I had no idea 
how to conceptualize a Geometric Proof.



Alex mother has been researching proofs in order 
to help Alex better understand them...
and she bought some books for him.




An example of a proof for the problem BD = FH (Illustrated angles not shown here)

Alex is learning the differing theorems and when each apply.




Geometric Proofs is Alex's new math objective.




As I am a certified bone head when it comes to math
(I had to struggle through Statistics at University)...
my wife is handling Alex's math studies...
but even she is stymied at Geometric Proofs




(as she is younger than I...
she remembers more of her math studies....err...
OK...
no excuses...
she is much better in math than I  :)




So for us...
it has been a matter of researching the best supplementary
material for Alex.  




Besides this text book...
he has 3 online math courses that he regularly studies.




He has no problem with anything else in Geometry...
except this...
his new objective.




Today Alex said he had recognized a pattern of operation
in the proofs by looking at the above example of a proof.




As this is the last section of his Geometry...
when he understands this...
he will be able to move on to higher level programs.




As he is excited at this prospect...
he works on these types of problems everyday
(he just started again as our focus was on the SATs).






Alex soldiers on without complaint.



He merely states that he does not understand something...
and then his mother goes into research overdrive.



She will try to find out worked out problems with full explanations
and try to walk Alex through them.



It had always worked in the past...
until today with the proofs.



My wife then had him type in an incorrect answer on a proof...
then Alex's math program input the correct answer for review...
and with this, they simply reverse engineered the solution
to match the problem
(upon studying the solution...
Alex said, "I see, now I know what to do").



Although Alex still has a ways to go with Geometric Proofs...
he is at least on his way now.



By chipping away the subject in small daily chunks...
from a solid mass of confusion...
he is steadily creating a statue of understanding.


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