Pembudayaan Matematika di Sekolah Untuk Mencapai
Keunggulan Bangsa
By Marsigit
Reviewed by Khilmi
Nur Ma’rifah
Civilize mathematics in school has aspects of an understanding of the nature of mathematics, the essence of school mathematics, mathematics education essence, the essence of the value of mathematics, the essence of studying mathematics, the essence of teaching and learning mathematics. In general, whatever we are talking about, always associated with 2 (two) terms the question is: what is its object and what methods.
Necessary to be able
to cultivate mathematical understanding of the meaning of mathematics in
various dimensions. Dimensional mathematical meaning can be seen from the
side-dimensional mathematical objects to concrete objects and mathematical
dimensions to objects of mind. Mathematical communication includes
communication materials, formal communication, the communication of normative
and spiritual communication.
Materially, the object of mathematics was in the neighborhood or around us like a cube, ball, and so on. While the formal, mathematical objects in the form of objects thought. Objects thought to be obtained from concrete objects "abstraction" and "idealization". Abstraction is an activity in which only take certain traits to think or learn. Idealization is considered the perfect activity of existing properties.
Materially, the object of mathematics was in the neighborhood or around us like a cube, ball, and so on. While the formal, mathematical objects in the form of objects thought. Objects thought to be obtained from concrete objects "abstraction" and "idealization". Abstraction is an activity in which only take certain traits to think or learn. Idealization is considered the perfect activity of existing properties.
Of the cube model
made of teak wood, then by abstraction we only learn about the shape and size
alone. By idealizing then we obtain that the sections cube are straight lines
that really straight without disabilities. Normatively, then the objects of
mathematics in the form of meaning contained in the objects of material and
formal. Meanings expressed by the mathematical material and formal mathematics
that would later produce "value" or math scores.
For example, the
object of mathematical material in the form "number 2 which is made of
plywood boards are sawn and then given a beautiful color." So in the realm
of mathematics material we can think of a greater number two, number two is
smaller, the red number 2, number 2 is blue, etc. On formal dimensions then
there is mixing mortar between the means of numbers and figures. But, once we
enter the dimension of formal mathematics, then all the properties of the
number 2 before we get rid of, and we only think about the nature of
"value" its course of 2. So we are not able to think about the value
of 2 if we have no other numbers. The value of 2 is greater than the number 1,
but smaller than the number 3. Normatively, then the meaning of number 2 had an
extension and intentions. If intensified, then the number 2 can mean
"even", can mean "spouse", can mean "not
strange", can mean "father and mother", or it can mean "not
one". Metaphysically, the number 2 can mean "not one or not the One
God or not about God or it is all God's creation". The meaning of number 2
can be two theories, two theorems, two systems of mathematics, two variables,
two systems of equations, etc.
Materials Communication of mathematics
Materials Communication of
mathematics is dominated by the nature of mathematics from the direction of the
horizontal nature of its vitality.
Formal communication
of mathematics
Formal communication
of mathematics is dominated by the properties of correlational out or into the
vitality of its potential. The implications of differences in subject
characteristics or properties of objects provide reinforcement of differences
in the nature of the appointment.
Normative communication of
mathematics
Normative
communication of mathematics is characterized by the properties of the
appointment on the subject and the object itself.
Spiritual
communication of mathematics
Mathematical concept
of showing more clearly and specifically state whether in the form of out
upward or outward to the bottom. The relation potential and vitality of
mathematics to the above will change forms of communication into a more
dimensions of the spiritual communication of mathematics, while the correlation
potential and vitality to the bottom will change mathematical form of
communication to the lower dimensions that is a formal communication of
mathematics or mathematics of communication materials. Then the spiritual
communication of mathematics is to accommodate all the existing communication
and that may exist.
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