Should We use the Innovative Teaching Learning of Mathematics?

  INTRODUCTION

Teacher as the person most responsible for the child must have an attitude to creative and innovative. Students need a teacher who can guide him reach adulthood and discover the true identity of the student. Students should not always depend on the teacher in learning. It is necessary to exercise the independence and creativity of the student if he had plunged in the community.
DISCUSSION
Traditional Learning Mathematics

In the traditional mathematics, learning more emphasis on memorization of terms, emphasizing how something is calculated rather than why something is counted thus, prefer to train the brain rather than usability, language / terminology and symbols used are not clear, the sequence of operations must be accepted without a reason, and so forth.

In traditional math, teacher dominated learning in the classroom and always respond 'immediately' to the questions of students. Teachers to teach science, while students have to sit neatly listen, mimic the patterns of a given teacher, the teacher modeled how to solve problems. Pupils act passive.

Students who can best imitate the ways given by the teacher that's what learning is considered successful. The students are generally less given the opportunity to initiate, seek their own answers, formulate arguments. The students are generally confronted with the question "how to solve the problem" but rather to "why we can take steps so". In the traditional mathematical methods, more oriented to the "world teacher". Good teachers are teachers who can teach "the program is still very well.

Innovative Learning Mathematics

Changes to the traditional math program in the methods of modern mathematics is taught. Attention to modern methods of teaching mathematics student interests, student abilities, discover their own methods must be considered.

In innovative method, we change from the situation "teachers teach" to the situation of "the children learn". Nature of the child who always wants to know should be best utilized for education. Organizing the school not to teach but to our children learn. The teacher is the person who is facilitated child's learning process. He put the children to the center of learning, helping and encouraging children to learn, how to phrase questions, how to discuss and find answers to problems.

If we can harness the natural experiences of the child to develop the mathematical concepts of number, measurement and objects, in addition to maintaining the required skills, then the kids will like math because it is relevant in everyday life. They will realize the usefulness and beauty of mathematics because they can be used as a communication tool of thinking. Activities in mathematics can be used by almost all activities, whether it is social science, music or other lessons.

The purpose of modern mathematics teaching for students to learn to participate actively and creatively, that is:

1.      That students are given the opportunity to think freely

2.      So that students are given the opportunity to search for rules, patterns and relations that are part of the important and essential in modern mathematics. Rules, patterns and relationships that exist not only applies to natural and man-made but in the universe.

3.      So that students acquire the skills exercises are necessary.

In the teaching of modern mathematics teaching success or failure is determined by several factors: a) Selecting students, for students of different abilities despite its age the same, b) Curriculum is good, c) Way of teaching, because teachers are factors that greatly determine the success of students in addition to master the methods of teaching and teachers also need to have a broad mastery of the field, d) guidance and counseling is better, and e.) evaluation of learning outcomes better.

Material in a modern mathematical approach is deductive mathematics. In mathematics, the approach is an approach to the presentation of material deductive of materials that are common to the specific nature of the material. Inductive approach is the approach of the things that are specific to matters of a general nature.

In modern mathematical precision of language are concerned. For example, the term "equal" is distinguished from the "congruent" example: "an equilateral triangle has three sides of the same", in modern mathematics is: "a triangle has three sides are congruent". Other terms that need to be disciplined as "wide area". In the old mathematics (numeracy) area is often said to be "broad triangle". More precise is the triangle area.

The characteristics modern mathematics, namely:

1.      Prefer the notion of modern mathematics to numeracy skills and memorizing

2.      Prefer the use of modern mathematical language and terms that are more appropriate

3.      Stresses of modern mathematics to study the structure of mathematics as a whole

CONCLUSION
There are some differences between traditional mathematics with innovative math

Traditional	The World	Innovative
Traditional (ancient)	Characteristic	Innovative (in accordance with the times)
Mathematics is a thing apart from the real world (abstract)	Religion	Mathematics is the student himself
Behaviorism	Paradigm Theories	System
Teacher is teaching	Design	Student is learning
TIU, TIK, change behaviorism	Schema	Curriculum: syllabi, lesson plan, student worksheet
Teacher as implementor	Models	Teacher as developer
Teacher as controller	Activities	Teacher as facilitator
Student: empty vessell	Examples	Student: seed, who is growing