Elegi Pemberontakan Pendidikan Matematika 23: Logicist-Formalist-Foundationalist (Jawaban utk Prof Sutarto Bgn kedua)

By Marsigit

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International Mathematics Education

Although students are more inclined towards to Logicist-Formalist-Foundationalist, but as a prospective educators we must be transformed into realistics Mathematicist, Contextualist, Psycho-mathematicist, Psycho-therapist in order to convey the mathematics that can be accepted easily by the students. That's the challenge that can be said for the weight of an educator.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_7962.html

Elegi Pemberontakan Pendidikan Matematika 22: Apakah Mat Kontradiktif (Jawaban utk Prof Sutarto Bgn Kesatu)

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International Mathematics Education

There are two views of mathematics that is pure mathematics that is learned in college, also known as Logicist-Formalist-Foundationlist-Relativism and Realism-Aristotelianism gave birth Empiricism-Fallibism-SocioConstructivism. Two things are contradictory, but both are very supportive. Formalist Logicitics foundations learned in college to learn how mathematics teaching in the school of empiricism fallibism sociocontructivism. It helps us as a prospective teacher or educator to be able to vary the teaching methods to suit the characteristics of the students.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_3491.html

Elegi Pemberontakan Pendidikan Matematika 21: Mengapa 3+4=7 kontradiktif? (Bagian Kesatu)

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International Mathematics Education

Child's world is a world that is limited by space and time. As a child we were taught about addition and subtraction by using illustrations of fruit, animals or anything that can be used as an illustrator. But how addition and subtraction are taught is similar for the two mean the same thing, namely fruit and fruit or animal, and animals. Here it is clear that teaching in childhood are also bound by space and time. However, this is reversed when teaching in junior high or high school become unrestricted space and time. There was a contradiction.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_6340.html

Elegi Pemberontakan Pendidikan Matematika 20: Apkh Mat Kontradiktif? (Tanggapn utk Bu Kriswianti bgn kedua)

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International Mathematics Education

Mathematics does not seem friendly to students because that is more likely to be taught to students in pure mathematics, not school mathematics. It means in this case I can say that the school mathematics does have differences with pure mathematics activities but in a sense but basically the knowledge of the school mathematics should be fixed based on pure math. In other words, the teacher must be creative with teaching methods in order to package school mathematics more friendly and fun for students.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_4135.html

Elegi Pemberontakan Pendidikan Matematika 17: Apakah Matematika Kontradiktif? (Bagian Ketujuh)

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International Mathematics Education

Usually it's something deeper and more widely studied levels will eat more and more to meet the challenge. Likewise with math, the deeper and wider which will be studied more likely to see a lot of problems, also related to the issue of contradictions. That occurred in the learning of mathematics in schools is teachers often give or teach math without a detailed explanation, they tend to take or teach with a shortcut. This is a real fact that the math in the eyes of the students was limited to myths. So here's our challenge as prospective mathematics teachers to turn myth into logos.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_5842.html

Elegi Pemberontakan Pendidikan Matematika 16: Apakah Matematika Kontradiktif (Bagian Keenam)

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International Mathematics Education

Mathematical existence can be seen from two elements, namely identity and contradiction. Because basically we are just struggling in mathematics with two elements. For example, in making proof that means we do an activity or a review to find a similarity between the subject and the predicate to be proven. Conversely when we give an example of one of the entry into force of a theorem does not mean we have demonstrated a mathematical contradiction.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_6938.html

Elegi Pemberontakan Pendidikan Matematika 19: Apakah Mat Kontradiktif? (Tanggapan utk P Handarto C)

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International Mathematics Education

Because the world is the law that applies two identities and contradictions in which the identity associated with the truths and contradictions associated with the error, then we human residents of this world will never be infallible. Then the gap between pure math and school mat that can be regarded as an error. But it will be we can turn into a truth by transforming it into an identity gap.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_1807.html

Elegi Pemberontakan Pendidikan Matematika 6: Apakah Matematika itu Ilmu?

By Marsigit

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International Mathematics Education

Mathematics will be a science if he built on intuition. One key sentence holds true meaning of the mathematical sciences. Science is a part of the knowledge. Knowledge is something that is known from a source or reference that can be trusted and accountable. We are able to apply knowledge to solve problems in daily life is a science. Likewise mathematics. Mathematics is knowledge if it was limited to formal, to the extent known how symbols, formulas, and so on. But mathematics would be a science if we apply the mathematical knowledge in everyday life. Without the need to define a formal mathematical knowledge, then we have intuited towards mathematics and thus we have made mathematics into mathematics knowledge through intuition that we have. So it can be said that intuition is the bridge between knowledge and science.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_8459.html

Elegi Pemberontakan Pendidikan Matematika 9: School Mathematics

By Marsigit

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International Mathematics Education

Mathematics according the students is scary, unpleasant and very unfriendly. It is time we change the view of the the students by returning mathematical substantially as activity to search patterns or relationships, problem solving activities, investigative activities, and communication. Habits teachers still teach math by providing exercises to be changed because the mathematics should be brought closer and communicated to students through interactive and engaging activities for students.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_5936.html

Elegi Pemberontakan Pendidikan Matematika 5: Peran Intuisi dalam Mathematical Research

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International Mathematics Education

Mathematical intuition gives an important role in the conclusion. We often meet a variety of constraint in the process of learning or in research. This mathematical intuition can play a role in providing good solutions in the analysis came to the conclusion. In making initial assumptions sometimes it just intuition of the researchers only, and even then the hypothesis will be proven is intuition. Assuming owned then the hypothesis will be investigated what is right or wrong with using references as well as the foundations of thinking. But do not do the analysis in research using only intuition intuition alone, although sometimes it still often appears in the mind even when drawing conclusions.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_2843.html

Elegi Pemberontakan Pendidikan Matematika 4: Kompetensi Matematika juga Menghasilkan Mathematical Intuition

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International Mathematics Education

From the article above, I know mathematical intuition is also generated by the mathematical competence. Mathematical competence of the students must come from what is taught by teachers in the school, although it is possible that students also learn on their own outside of school. Based on this, the mathematical competencies of the teacher is very influential on the competency of students. Mathematical competence that contains the material that will enhance the ability of the abstract formal but this ability should also be supported by the ability to demonstrate logical ideas that can be applicable in general so will expand mathematical intuition that we have. So that students can have the mathematical competence of a teacher shall then be creative with the ways or methods of teaching so that students not only develop skills but also the ability to formally convey an idea or an idea for example in problem solving so that will result in the student mathematical intuition.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_6614.html

Elegi Pemberontakan Pendidikan Matematika 3: Budaya Matematika Menghasilkan Mathematical Intuition

By Marsigit

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International Mathematics Education

Mathematics is mathematics culture intuition. Culture is something that is done continuously, regularly and hereditary. Math is math cultural activities carried out continuously, regular and hereditary. Real mathematics activities can be found easily in daily life. But to be able to understand that we're doing math activities we would need to have a mathematical intuition. This mathematical intuition should we get after we learn mathematics, but what happened is not like that. Learning mathematics is abstract for students because they are taught about the formal mathematics, mathematics is not needed to solve the problems of daily life.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_6933.html

Elegi Pemberontakan Pendidikan Matematika 7: Structuralism Mathematics

By Marsigit

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International Mathematics Education

There are 3 pillars the philosophy and the foundation of PURE MATHEMATICS like mathematicslogicism structuralism, formalism mathematics and mathematics, mathematics can also be viewed as a language. Language as a system of regular, has a pattern, which consists of words, symbols or symbols that eventually became one entity. Then it can be considered as the language of mathematics because mathematics is a series of words that are expressed through symbols or symbol that is organized and has a certain meal. But the language of mathematics is different than the verbal language that we use everyday. Mathematics has its own emblem or symbol that is unique and is only used in mathematics itself. Certainly not easy for students to learn the language of mathematics if not given concrete things first. So it is necessary that we establish that enhance learning and structural logic students in understanding mathematics. Thus, students will be able to have a mathematical intuition.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_1555.html

Dialog Internasional 6 Pendidikan Matematika

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International Mathematics Education

Mathematics will be a science if he built on intuition. One key sentence holds true meaning of the mathematical sciences. Science is a part of the knowledge. Knowledge is something that is known from a source or reference that can be trusted and accountable. We are able to apply knowledge to solve problems in daily life is a science. Likewise mathematics. Mathematics is knowledge if it was limited to formal, to the extent known how symbols, formulas, and so on. But mathematics would be a science if we apply the mathematical knowledge in everyday life. Without the need to define a formal mathematical knowledge, then we have intuited towards mathematics and thus we have made mathematics into mathematics knowledge through intuition that we have. So it can be said that intuition is the bridge between knowledge and science.

http://powermathematics.blogspot.com/2012/09/dialog-internasional-6-pendidikan.html?

Elegi Menggapai Pikiran Jernih

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International Mathematics Education

Clear thinking is if our mind is clean, free from negative emotions and negative thoughts, and the wrong perception of the problem. By thinking clearly then we can find a solution or fix the problem. Not that we are not going to find another problem because the problem is a part of our lives. But to think clearly then the problems we face will feel lighter and will be resolved properly.

http://powermathematics.blogspot.com/2010/09/elegi-menggapai-pikiran-jernih.html?

Elegi Seorang Guru Menggapai Kesempatan

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International Mathematics Education

Chances are, opportunity or moment possessed us to do just that strategic or define for our lives. Can form or shape of time, age, ambient conditions allow, our current financial situation. Opportunities should be best utilized. Opportunity is not a part of the imagination or fantasy, so do not come alone. Thus, we must find it and never throw away the chances that come to you.

http://powermathematics.blogspot.com/2012/07/elegi-seorang-guru-menggapai-kesempatan.html?

Elegi Pemberontakan Para Logos

By Marsigit

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International Mathematics Education

Contradiction in hearts we always have especially when we are facing many problems. In this situation, it is too hard to think clearly like logos with a heart, especially if our hearts are affected by myths and devils. Therefore as creatures who have faith, we do not forget to pray and surrender to God that our hearts are always awake, especially in times of crisis facing the problem.

http://powermathematics.blogspot.com/2012/07/elegi-pemberontakan-para-logos.html

Elegi Perbincangan Bukan Benar Dan Bukan Salah

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International Mathematics Education

There is nothing in the world that is absolute. Include to it is right and wrong. Just God that have Absolute truth. That's the true truth. Whereas in true mistake is if we assume that myself is true. A mistake is not good for discussion. It's best to how to fix mistake to be the truth.

Elegi Seorang Hamba Menggapai Harmoni

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International Mathematics Education

Harmony is defined as a state of balance. Life is in desperate need of harmony. To achieve harmony, then we must have a pure mind. For example, as a human being. Humans were given reason to think and do good things for others. If humans have been using mind and heart to accordance with the human essence that will reach harmony. Human beings are weak, God who created  them. In order to be harmony, humans should always pray to the God.

http://powermathematics.blogspot.com/2010/09/elegi-seorang-hamba-menggapai-harmoni.html

ELEGI KONFERENSI DAERAH IMAJINER

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International Mathematics Education

Imaginary is imaginary, not real because there is only on wishful thinking, out of mind. This means that the vast imaginary as well as science. Science is what we must have to be able to live in this world, people who are not knowledgeable, he will not be able to live, because this man did not have capital. Science required by anyone, for anyone, anytime and in time. Science can also be obtained from anyone anywhere and anytime. Suppose in the trade, for-profit, the trader need science to make a profit.

Elegi Konferensi Patung Filsafat

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This elegy tells about the sculptures that have different capabilities like as a example fot the other, the leader, the guide, have wise, discipline, and etc, but is only used in order to be recognized by other people and do everything they can in order to be recognized by others. At the end of the elegy, there is a statement that the critical thinking that is capable of destroying all the statues and the author's philosophy. Let us not be one of the statue philosophies that show its ability just to make other people admit the ability but we have to be people who are sincere in helping others and continue to innovate. Innovation was not also to show off, but to be useful to others.

http://powermathematics.blogspot.com/2010/09/elegi-konferensi-patung-filsafat.html?

Elegi Menggapai Hakekat Senin

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International Mathematics Education

As we know that “Senin” is one of the day’s names. However, in this elegi, “Senin” is have many meanings. They get the meaning because they have different view to see what is “Senin”. The meaning of “Senin” is depend of the view of we see, and the place and time that we choose. This elegy teaches us that we must learn about all of things in this world because all of things have many meaning or there is no things that have one meaning.

http://powermathematics.blogspot.com/2010/09/elegi-menggapai-hakekat-senin.html

Dialog Internasional 4 Pendidikan Matematika

By Marsigit

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International Mathematics Education

In above, Mr. Marsigit that "I also wish to share the ideas of math and its teaching, not in the spirit of negatively reducing them into a meaningless Notions, but in the spirit of positively constructing them intensively and extensively in such away that we as math teachers are to improve professionalism of our self. "Success in teaching is not only based on the teacher's knowledge of mathematics, but rather on how to make students able to construct their own knowledge. As we know and to understand is that mathematics is the students themselves. So in developing the student's skills, students should get used to construct mathematical knowedge in themselves through their experiences and their capabilities.

http://powermathematics.blogspot.com/2012/09/dialog-internasional-4-pendidikan.html

Dialog Internasional 2 Pendidikan Matematika

By Marsigit

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International Mathematics Education

Teaching mathematics can not be done by just anyone. Mathematics should be taught by a teacher who has a good pedagogical competence, personality, social, and professional. Thus the teacher will be able to have the ability to determine appropriate teaching methods and in accordance with the characteristics and abilities of students. But on the other hand should also be awareness within the students themselves to want to learn math. Not entirely all of it depends on the teacher.

http://powermathematics.blogspot.com/2012/08/dialog-internasional-2-pendidikan_29.html

Dialog Internasional 1 Pendidikan Matematika

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International Mathematics Education
English

The problem is still continuous in an educational issue is likely to come from a teacher, government, and even adults. Innovation in learning mathematics still to be researched and studied more intensively and extensively. Given the freedom to build students' mathematics creativity stimulate students to find patterns of mathematics problem-solving purposes.The important thing that must we do is always improving education system where students not only solve problems, but also to build a world with thoughts and ideas of the students.

http://powermathematics.blogspot.com/2012/08/elegi-menggapai-dialog-internasional_7123.html

Elegi Pemberontakan Pendidikan Matematika 4: Kompetensi Matematika juga Menghasilkan Mathematical Intuition

By Marsigit

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International Mathematics Education
English

The more abstract the material, it would require formal proof relating to the game logic. I think logic should be well understood to improve intuition the students in mathematics. So that when he received the abstract material there is no confusion. And it is becoming one of the tasks of the teachers to students' creativity in thinking logically. The responsibility of teachers is together with students to improve the student's ability to show his ideas logically with an easy  languange . In addition, students are able to construct their own mathematics, although it must be assisted by the teachers, so that students will feel challenged in finding solutions to problems in mathematics.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_6614.html

Elegi Pemberontakan Pendidikan Matematika 5: Peran Intuisi dalam Mathematical Research

By Marsigit

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International Mathematics Education
English

I think intuition is a mindset that is a guidance a problem from  to find the solution or object including things that exist and may exist within the scope of mathematics. Not a few _ say that research in the field of mathematics was difficult. Through intuition that we produce, it is very helpful in making a mathematics research. When other sciences such as biology, chemistry, physics can easily do the math studies also do not rule out such a possibility. Therefore, awaken intuition in order bring creative ideas that will help us in the study of mathematics.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_2843.html

Elegi Pemberontakan Pendidikan Matematika 1: Intuisi dalam Matematika

By Marsigit

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International Mathematics Education
English

Precision scale view, test consistency and lack of contradiction system with regard to Early Mathematics-end systems, sub-systems, or elements or The element. Mathematical contradiction comes from the contradictions of each element forming his mathematical system. Contradiction is based on the intuition of space and time. From this contradiction will build mathematical consistency.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan.html?

Elegi Pemberontakan Pendidikan Matematika 12: Apakah Matematika Kontradiktif? (Bagian kedua)

By Marsigit

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International Mathematics Education
English

Precision scale view, test consistency and lack of contradiction system with regard to Early Mathematics-end systems, sub-systems, or elements or The element. Mathematical contradiction comes from the contradictions of each element forming his mathematical system. Contradiction is based on the intuition of space and time. From this contradiction will build mathematical consistency.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_6514.html?

Elegi Pemberontakan Pendidikan Matematika 11: Apakah Matematika Kontradiktif ? (Bagian Kesatu)

By Marsigit

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International Mathematics Education
English

Contradiction is a sign of development. So if there is a contradiction in mathematics so mathematics is in the process of development. These developments can be in our minds and outside our minds can be true or false, and there is no single person who can assess the truth. Everything is a process that will lead to a point that is Allah SWT.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_5953.html?

Elegi Pemberontakan Pendidikan Matematika 10: Architectonic Mathematics (2)

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International Mathematics Education
English

Architectonic Mathematics is when students can build their own understanding, designing,find the pattern according with their capability. Students can use logic and their own experience of understanding mathematics so that by itself constructed in them. Architectonics Mathematics is essentially the student's own thoughts. Architectonics mathematics is not singular, but plural.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_8043.html

Peta 4- Pendidikan Dunia _ Dibuat oleh Marsigit dari Paul Ernest

By Marsigit 

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International Mathematics Education

English

In this world education map from Paul Ernest, Paul ernest show us about the view of Industrial Trainer, technological pragmatist, old humanist, progressive educator and public educator about the resources, evaluation, and diversity.  The view Industrial trainer, Technological Pragmatist, and old humanist  about the resources is just white board, anti caalculator, teaching aid, and visual teaching aid for motivation.  According to progressive educator and public educator, the resources is various resources/environment adn social environment. I agree with it,  the resources is not only it but also everything around us can be a resources for learning. 

http://powermathematics.blogspot.com/2012/11/peta-4-pendidikan-dunia-dibuat-oleh.html?

Peta 3- Pendidikan Dunia _ Dibuat oleh Marsigit dari Paul Ernest

By Marsigit 

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International Mathematics Education

English

This map is different with the first map. In this world education map from Paul Ernest, Paul ernest show us about the view of Industrial Trainer, technological pragmatist, old humanist, progressive educator and public educator about the aim of mathematics education, the theory of learning, and the theory of teaching.  The view Industrial trainer, Technological Pragmatist, and old humanist  is still traditional method. It is very different with progressive educator and public educator. The view of them is modern method. Now, the modern method is developed because it can contruct the student’s knowledge. 

Elegi Obrolan Filsafat

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International Mathematics Education

Something that I get form this article is not all of the people has same view, sometime we meet with someone with different view. Thus, when we look sometime, we cannot look it just form the one side but look at it in different side so we can have different view. It is happen with people, so every one can have different view because they look it form the different side.

http://powermathematics.blogspot.com/2010/09/elegi-obrolan-filsafat.html

Elegi Menggapai Bijak

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International Mathematics Education

Wise is relative, in different sense in the context of space and time. Wise in my opinion is not necessarily wise by other people, and vice versa wise by other people is not necessarily my opinion. Wisdom is not created by itself. But wise requires a process to reach it. The process is sometimes not for a moment, and it took a long time, especially for those who do not recognize the wise words during the course of their life.

http://powermathematics.blogspot.com/2010/09/elegi-menggapai-bijak.html

Elegi Pemberontakan Pendidikan Matematika 17: Apakah Matematika Kontradiktif? (Bagian Ketujuh)

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International Mathematics Education

From this article, I know that there are two principles that apply in the world , that is identity and contradiction. Mathematics is a science, but mathematics is not only has the principle of identity, but also mathematics should have the principle of contradiction. Because, in the mathematics certainly have things that are contradictory.  As an example in this elegy, that 3 +4 7 the result is not necessarily depends on space and time.

http://powermathematics.blogspot.com/2010/09/elegi-pemberontakan-pendidikan_5842.html

Peta 2 - Peta Pendidikan Dunia _ Dibuat oleh Marsigit dari Paul Ernest

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International Mathematics Education

This map is different with the first map. In this world education map from Paul Ernest,Paul ernest show us about the view of Industrial Trainer, technological pragmatist, old humanist, progressive educator and public educator about theory of society, genesis of students, and theory of students ability.

http://powermathematics.blogspot.com/2012/11/peta-2-peta-pendidikan-dunia-dibuat.html

Hermeneutika Hidup_oleh Marsigit

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Hermeneutics is translate and to be translate. In life, human is always communicate with the other, in here, we translate what the meaning of our communication pathner. Then we must use a word so our pathner can translate our word and understand our meaning.  So life is translate and to be translated. Not only in communication but also when we learn something. For example in learning English. The best way to learn English is translate and to be translate.

http://powermathematics.blogspot.com/2013/04/hermeneutika-hidupoleh-marsigit.html

Peta 1 - Peta Pendidikan Dunia _ Dibuat oleh Marsigit dari Paul Ernest

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International Mathematics Education

From this world education map from Paul Ernest, I know the view of Industrial Trainer, technological pragmatist, old humanist, progressive educator and public educator about politics, mathematics, and moral value. Mathematics according to Industrial Trainer is body of Knowledge, according to tecnological pragmatist and old humanist is science and structure of truth and according to progessive educator and public educator, mathematics is process of thinking and social activities.