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    SOME THOUGHT PROVOKING QUESTIONS
                          WHEN IS THE LEARNING MOMENT?
                          ~~~~~~~~~~~~~~~~~~~~~~~~~~~~
                   CAN WE IDENTIFY IT?  CAN WE EXAMINE IT ?
                   ~~~~~~~~~~~~~~~~~  ~~~~~~~~~~~~~~~~~
        WHAT CAN WE DO TO PROMOTE "LEARNING MOMENTS" ?
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              As I watch my students work on the PLONSKI MATH METHOD 
         they will often become so intensely focused that they can be heard
         quietly talking to themselves.  I always smile when I hear a student
         suddenly say, "Oh!"  That sudden exclamation, "Oh!", clearly marks
         a learning moment.  Yes, we can identify learning moments.  Yes,
         we can examine learning moments.  And, yes, we can learn to
         promote learning moments.   We can promote learning moments
         by making the student aware that he has had a learning moment
         and talking about it with him.  Encourage him to have more.
         As we learn more about learning moments we can learn to adjust
         our presentation of study materials to take maximum advantage
         of the the learning process.



             CAN WE LEARN WITHOUT THE HELP OF A TEACHER?
             ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

            Of course, we can learn without a teacher.  How do babies
         learn?  Think of it.  A new-born baby lying in a crib does not
         know that  language exists. - - - does not know that words have
         meaning.   - - - does not even know that words exist.   How does
         a baby learn  that some sounds are words?   How does the baby
         learn that some  words have meaning?  Yet, babies born in China
         learn  to understand and speak Chinese.  Babies in France learn
         to understand and speak French.  How did you learn to 
         understand and speak your mother tongue.   Did you go to
         school to learn this?   Did you learn it by reading books?
         Babies don't even know that reading exists!   Why not learn
         mathematics the same way a baby learns?

                  

                         WHAT IS INTUITIVE LEARNING ?
                         ~~~~~~~~~~~~~~~~~~~~~~~~~

        Intuitive learning has its basis in very certain thinking skills.
     The student already has these thinking skills we just need to
     help the student organize and strengthen these thinking skills.

                    They are:
                                 GATHER DATA

                                   COMPARE
                                   ANALYZE
                                   EVALUATE

                   and of course:  ORGANIZE



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                  What is this thing we call
      "INTUITION" or "INTUITIVE LEARNING" ?


         Whenever a person learns something on his own, without outside
     help, that person did so by GATHERING DATA, COMPARING, ANALYZING,
     and EVALUATING, and to some extent ORGANIZING or RE-ORGANIZING.



                COMPARE:

                When we compare we must have at least two items.
                Then we examine them and ask

                 1.   How are they similar ?
                 2.   How are they different ?



                ANALYZE:

                When we analyze something, we examine its parts to ask

                 1.   What is it made of ?
                 2.   How do the parts fit together ?
                 3.   How do the parts function ?



                EVALUATE:

                When we evaluate, we are making a value judgement.

                 1.   Which is better ?  Which is worse ?
                 2.   Which is more ?  Which is less ?



            ORGANIZE:

            Many times, before we can really come to learn something new
            we must first organize or reorganize the data.  When we
            organize or re-organize, we are dealing with several items
            which we collect into meaningful groups (We associate). 
            Naming or putting a label on a group is an important step
            when  organizing.
            
            When we organize we must focus on two tasks:
                 1.  Assign a place for everything.
                 2.  Make sure everything is in its assigned place.

 


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     WE WANT THE STUDENT TO EVENTUALLY BE ABLE TO FUNCTION
     ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
                                   without THE TEACHER.
                                   ~~~~~~~~~~~~~~~~~
       The prime objective of a good teacher is to help the student to
    the point where the teacher will no longer be necessary for that
    student.  The teacher should only consider himself to be a TEMPORARY
    crutch.  Indeed, a teacher's main job is to make himself no longer
    necessary.  The teacher can not consider himself "successful" as long
    as his student still needs him.

                                             Tom Plonski

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