Kamis, 14 April 2011

IN DEEP THINKING ABOUT MATHEMATIC EDUCATION



We should indept thinking about mathematics education.Firstly, we should understand the differences between younger and adult.
 
A. Younger Student
               For younger student, they need something concrete materials.
      Example:
  1. Shown a picture,




 




      According to the mindset of younger student, the picture above is a picture of a                                                          ball that has been damaged.
2. There are two numbers are 4 and 7. Number 4 is written with a size greater than 7.
4                     7      
If asked to the younger student, the greater the number 4 or number 7? Then the younger will answer the larger the number 4 because the number 4 written by yan size larger.




3. There are pictures as follows:

                                   
                                    45o



If asked to younger student, the picture above is an acute angle or obtuse angle? They will answer these angles are obtuse angle while the angle 45o.
4. A circle made of fine teak, with a radius of 15cm. Calculate the area!
If the question is addressed to younger student, then the answer that they would ask a circle made of fine teak wood was like what? Only then they will calculate the extent of

5. There it says "SELL mutton" which in pairs on the tree, the younger will think that the seller was in the tree.

B. Adult
        Thinking adults is different from thinking of younger student. Adults are able to think abstractly and to plan the program.
For adults,
1. Mathematics is the object thinks.
For example:
a. As in the example above that number 4 is smaller than 7, although the size of          the larger literary figure 4.
b. There is a matter of "A circle is made of fine teak, with a radius of 15cm. Calculate the area! For adults the circle made ​​of what it is not important, because without knowing the circle was made of what they can calculate the area of ​​the circle.
c. There it says "SELL mutton" which in pairs on the tree, adults still think that the seller is under a tree, not in trees.

2. Idealized
            Adults were idealized, meaning assume perfect existing properties. Adults are able to differentiate mathematics university with school mathematics.
a. Mathematics University
University mathematics is abstract, meaning that mathematics starts from the definitions and theorems. Theorem is used to facilitate in the calculation or solve a problem.
b.  School Mathematics
School mathematics starts from concrete objects that exist in everyday life.
For example:
Build cylinder in everyday life eg bottles or cans.
Build a cuboid in everyday life eg chalk box, cupboard.

According Ebutt and Straker, 1995, Tha mathematic nature of School:
1. Mathematic is a search for patterns and relationships.
Mathematics teaches us look for patterns or formulas to solve a problem.
2. Mathematic is problem solving activities.
    Once we find a pattern, we can solve problems in mathematics.
3. Mathematic is investigation activity.
4. Mathematic is a mean of communication.
     In mathematics we must know how to express ideas in mathematics or    express opinions in mathematics.

Charakteristic of student learn mathematic:
1. That's student activis (good motivation and no preparation.
    So in learning mathematics we must have the motivation that makes us the spirit of mathematics Study abroad, in addition we also have no preparation and are not easily give up in the face of challenges.
2. That's student is mathematic individualy.
     This means in learning mathematics must be our own, should not be represented.
3. That's the student in mathematic colaburation in other.
     In addition we learn mathematics itself, we also must cooperate with  friends. Can tangya the things we do not understand. So the man other than individualist also socialist.
4. That's the student learn mathematic in context.
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