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Posts Tagged ‘Cogitation’


Last Sunday we had a quiet and rewarding visit by the Twisters.  Abdiel is not doing too well at school and needed some help with the multiplication tables.  His teacher, mother, father and a mentor have been unable to help him memorize the 12 basic multiplication tables.  This knowledge is crucial for his elementary school education.

According to Abdiel, “they” don’t know how to teach.  The problem is not “him“.  The problem is “them“.  In an effort to intervene in Abdiel’s education, I decided to give it a shot.

I devised a number’s game with bright colors, photographs, Powerpoint slides,  and witty games with my cellphone to attract his attention and then ushered him gently to the multiplication tables.  In a subtle way, I explained the use of syllogisms and critical thinking to memorize the tables.  Obviously, I avoided using these specific semantics.  I was interest in the concept of critical thinking rather than the words themselves.

Abdiel is nine years old and starting fifth grade.  I was interested in finding out how developed his brain was to handle abstract thinking.  I was satisfied to learn that he has the cogitation skills to understand this kind of thinking.  For example, I asked him, “Abdiel, if Juan is the same height as Pedro, and Pedro is the same height as Oscar, can you tell me if Abdiel is taller than Oscar?  Abdiel smiled and sheepishly answered, “Omar, all of them have the same height.”  “Excellent!“, I exclaimed loudly.  The logical conclusion was correct.

Then I explored further and presented the following thought quiz.  “Abdiel, if all birds fly, and a humming-bird is a bird, this means that…”  He was quiet for a while and then asked.  “What do you mean?“  I patiently asked again, “Abdiel do you have any comments about what I just said—anything?”  He looked puzzled for a while and then finally answered, “Omar, I think that a humming-bird can fly.”  At age nine, Abdiel is using principles of Logic to think.  This is great and it will definitely help him down the road as his education becomes more and more complex.

Anyway, going back to my story, Abdiel is now ready to take an arithmetic exam next Sunday, March 24, 2013 completing the multiplication tables from 1 to 12.  I know he will do well.  Games, a cellphone, colors, logic, and Powerpoint did the trick.  Numbers can be fun; they don’t necessarily have to be arid and boring as most people think.  Teaching has to be fun if you want students to learn.  Memorization is “Out”, Critical Thinking is “In”.

After the tuition session was over, we went over to McDonald’s and each one enjoyed a nice and cool vanilla  ice cream cone and a delicious apple pie.  The Twisters were jubilant as you can surely imagine.

Before they left, they played Nintendo Wii for a while and made interesting toys with Angry Birds assembly pieces.  I was amazed how they were able to build these colorful and creative “suns” and “planes“, using their own words.  I had no idea you could do that.  For us, it’s always a wonderful experience having these kids at home—albeit for a short while.

Below are some of the enticing creations of the Twisters.  Here we go.

Snapshot of three interesting “suns” created by the Twisters during their last visit. Photo by ©Omar Upegui R.

Photo by ©Omar Upegui R.

Snapshot of a toy plane built by the Twisters with colorful plastic assembly pieces. Photo by ©Omar Upegui R.

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“A camera doesn’t capture was ‘Is’, but instead what ‘It’ has become.  The difference is in the time between ‘decision’ and ‘click’.  As a result, our vision—or consciousness of ‘It’ is always second hand.  Think about it. “

Credit:  CiderPress.com

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“Perfection is achieved, not when there is nothing left to add, but when there is nothing left to take away.”Antoine de Saint-Exupery

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“Whatever course you decide upon, there is always someone to tell you that you are wrong.  There are always difficulties arising which tempt you to believe that your critics are right.  To map a course of action and follow it to an end requires courage.”Ralph Waldo Emerson

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Snapshot of my wife Aura, reading a book in the living room early yesterday morning. Concentration is a good word to keep under the pillow when we go to bed each day. Concentration in our goals, mind you. Photo ©Omar Upegui R.

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“The most difficult subjects can be explained to the most slow-witted man if he has not formed any idea of them already, but the simplest thing cannot be made clear to the most intelligent man if he is firmly persuaded that he knows already without a shadow of doubt, what is laid before him.”

Leo Tolstoy – 1897

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“Who has never killed an hour? Not casually or without thought, but carefully: a premeditated murder of minutes. The violence comes from a combination of giving up, not caring, and a resignation that getting past it is all you can hope to accomplish. So you kill the hour. You do not work, you do not read, you do not daydream. If you sleep it is not because you need to sleep.

And when at last it is over, there is no evidence: no weapon, no blood, and no body. The only clue might be the shadows beneath your eyes or a terribly thin line near the corner of your mouth indicating something has been suffered, that in the privacy of your life you have lost something and the loss is too empty to share.”

— Mark Z. Danielewski (House of Leaves)

Source:  StumbleUpon WebToolbar

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Albert Einstein (1879-1955)

Albert Einstein (1879-1955)

Albert Einstein, together with Isaac Newton, Socrates, and Leonardo Da Vinci are the worlds greatest thinkers of the Western Civilization.  Their thoughts have densely molded our Western culture and values.

Below are five famous quotes of Albert Einstein which are a breath of fresh air in today’s  mayhem.  Here we go.

  1. “Reading after a certain time, diverts the mind too much from its creative pursuits.  Any man who reads too much and uses his own brain too little, falls into lazy habits of thinking.”
  2. The environment is everything that isn’t me.”
  3. The world is a dangerous place to live—not because of people who are evil, but because of the people who don’t do anything about it.”
  4. “If my theory of relativity is proven successful, Germany will claim me as a German, and France will declare that I am a citizen of the world.  Should my theory prove untrue, France will say that I am a German, and Germany will declare that I am a Jew.”
  5. “Only two things are infinite, the universe and human stupidity, and I’m not sure about the former.”

It’s good to put our minds to work, just to keep them in shape, like a Swiss clock.  Cogitation is beautiful.  Good Day.

Source:  Albert Einstein Quotes

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(Credit:  Bits & Pieces.com)

(Credit: Bits & Pieces.com)

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Credit:  Pizdaus, The House of Pics We Like

Credit: Pizdaus, The House of Pics We Like

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