5.The Fiveth Reflection of Philosophy of Mathematics Education

In Mr. Marsigit’s elegy that have title “Elegi Ritual Ikhlas IV: Memandang Wajah Rasulullah”, it told that we know the characteristics of Rasulullah’s face by syahadat and also the Al-Qur’an and Al-Hadits. In Rasululloh is radiated a light, Rasulullah was always shining. To make our soul is free from the sins we should understand this elegy. How Rasulullah was figure out and how Rasulullah was live. Although we don’t know his face but because of the syahadat, and what Al-Qur’an and Al-Hadits said about him, Rasulullah is always in our mind, Rasulullah is always in our heart. Abu Bakar is the cleverest student.

In philosophy, there are formal, normative, and spiritual. Formal philosophy such that IQ, SQ, and EQ. Normatif philosophy such that love. Spiritual philosophy can increase the intelligence. EQ is as the implication but it’s depend on the limitation of human thinking.

Talking about there is not exist, it consist of not exist and maybe exist. Talking about question, question have dimention. Human as formal, as example my self is Dian. Furthermore, human as normative, as example my self is my thinking.

Philosophy is like lobby. And the other discipline science is the rooms. As a lobby, philosophy is a discourse, there is no action in this lobby. But to enter the rooms, people should pass this lobby. Likewise with philosophy, philosophy is like lobby, and to enter the other discipline of science like algebra, etc should pass the philosophy.

Skeptical is make doubt at all aspect including the God. I’m exist because I’m thinking about or I’m exist because I’m asking. A doubtful thinking is the initial of science. To hear is because controlled by mind.Intuition is depend on space and time. Doing philosophy is the activity of managing the mind of reflection. So that what philosophy said we don’t know the content is also philosophy or not. But, something that there is no word “philosophy” can be a philosophy such as elegy.

Elegy is philosophy. It’s analytic and apriori. The example of apriori is when a people is small and can not think, it’s apriori. Hermeneutica is reflecting by gathering.

Defining the love. We can not define the love because love is intuition so that love only can be define and given example and also mention the characteristics.

4.The Fourth Reflection of Philosophy of Mathematics Education

In the philosophy, if the truth is one can be called monoism. If the truth is two can be called dualism. And if the truth is three or more can be called by pluralism. There is nothing science that are independent from the category. People can make categories by create intuism.

The philosophy is all about principle. As a principle people have various principle. Beside that there is principle that always can be use of every citizen in this world. The different of principle because the existence in the different space and time. Furthermore, if they are in the same space and time it can impact the sameness.

Talking about a filsuf, a filsuf never talked and said that he is filsuf. But others said that they are filsuf.

The phenomena of mathematics is come from the sciencetific phenomena. The contradiction of phenomena is noumena. According to Immanuel Kant, noumena is something that can be though.

In philosophy, the highest thinking is called judgment. The certainty that are uncertainty yet is called probalility. The certainty that are certainty is called apodictif. The source of science is located in epistemology. The truth of science is called epistemology too.

Before the definition there exist primitive element. Before the hierarchy there exist consiousity. And before consiousity there exist sensory. Contingent is located in experience. The apodiktif is located in our thinking. 

3.The Third Reflection of Philosophy of Mathematics Education

The smallest dimension of philosophy is located in your self. One day a people of course become a capitalism. Romantism have relationship with job. We can say that maybe it is ourselve3s in cetain time.

The hierarchy of philosophy is not statistically. The philosophy that is statistic called permeniadesiaism. Everthing is statis here. The philosophy that are changed is according to Heradiktitosism.

The history of thinking in philosophy is about not to be feel satisfy to know something. Don’t show your thinking. Search reference about filsuf. The people who don’t want to think is such died, they are not life. True or false is according to the context. Philosophy is something that are not specific yet.

The philosophy consisit of three ideology that are ontology, epistemology, and absiology. Ontology is about hierarchy. Epistomology is about source of science and method. Axiologyis about ethnic and hestetica. Ethnic is about norm. Hestetica is about right and wrong.

The truthness standard of philosophy is called Komensurkel. And the untruthness standard of philosophy is called Inkomensurability. The intensity as deep as possible, and the area as much as possible. The domain of philosophy is there exist and is there maybe exist. The standard of philosophy is filsuf.

The philosophy is smoother than water, smoother than air, as fast as wind, as smooth as it determinitif.

Where you see, there you get the characteristic, as fast as possible. The determinist that are absolute is just only our God. But the determinist that are not absolute is all people that are create by God. How to know my self is by everything in the content. How to know about the people is called Refuksiosism.

Filsafatku Kehidupanku

Sebuah lika-liku kehidupan

Tanya-Jawaban Filsafat

1. Mengapa hakekat matematika itu adalah dirimu sendiri?Karena matematika itu adalah ilmu, dan hakekat dari sebenar-benarnya ilmu adalah diri sendiri.
2. Mengapa kita belajar filsafat?
Karena hakekat filsafat adalah berpikir. Filsafat juga ilmu hidup, live. Jadi sebagai makhluk hidup kita harus berpikir, sehingga kita harus berfilsafat.
3. Mengapa kita harus belajar?
Agar dimensi kita meningkat
4. Mengapa air hujan turun dari langit?
Karena kesadaranku
5. Mengapa pengalaman itu ke atas?
Pengalaman merupakan hasil dari sesuatu yang sudah dialami. Kita bisa menggunakan pengalaman tersebut untuk menyelesaikan masalah yang serupa yang pernah dihadapi sebelumnya sehingga pengalaman bersifat ke atas
6. Apakah ada pertanyaan yang tidak mempunyai jawaban?
Tidak ada. Karena setidaknya ketika kita mencari dan memikirkan jawaban pun merupakan jawaban
7. Mengapa cinta yang akan datang tidak dapat diprediksi?
Karena kita tidak akan tahu apa yang akan terjadi ke depannya seiring dengan perbedaan ruang dan waktu
8. Mengapa masa lalu, masa kini, dan masa yang akan datang selalu terkait?
Karena tidak akan ada masa kini jika tidak ada masa lalu, dan tidak akan ada masa yang akan datang jika tidak ada masa kini.
9. Mengapa tidak mengerti itu juga mengerti?
Karena kontradiktif
10. Siapakah kompas dalam hidupmu itu?
Hatimu

2.The Second Reflection of Philosophy of Mathematics Education

      Phylosophy can be put anything such that in front of mathematics and become philosophy of mathematics. The object of phylosophy are that there exist and may be exist. So the object of philosophy of mathematics education are that there exist in mathematics education and that maybe exist in mathematics education. The object of mathematics Phylosophy is live. To make it live, the subject must have experience by themselves. Phylosophy is a process of thinking. As a process of thinking we do our philosophy by logical and thinking. So both logical and thinking is important for philosophy. And it must always be increased and increased to get the higher dimension, dimension of live.

If a people thinking about philosophy, it must be completed by logical and experience. Then a people that have ability to think but not use their thinking, that people must be dead. A mythe is an experience that not be though. When the age of people is increasing until the age is enough, it is about the ability of spiritual. So, when the age of people is become higher, the people must have a more experience and have more spiritual. When a people have more experience, they should have the higher dimensional of live.

A philosophy is harmony. It’s always balance and never stop. So a philosophy of mathematics also like that. A philosophy of mathematics is also have balance and it never stop, so it always move and move. A philosophy of mathematics is always changed but always balanced.

In philosophy, is always have relation with education. We should be ourself, it’s about education. The use of philosophy in your daily activity is such as the use of your thinking in your activity.

Talking about success. A philosophy success or not is depend on the subject. It is depend on the people that use that philosophy. So a philosophy of mathematics said to be success depend on the people that use philosophy of that mathematics.

1.Reflection of Philosophy of Mathematics Education

In this semester, I’m taking a course namely Philosophy of Mathematics Eucation. It has a different meaning if we translate in Bahasa as Filsafat Pendidikan Matematika. It’s not easy to learn mathematics because it have dilemma. First, studying philosophy need time to think, it’s not suit for a busy people who has a limited time to think about mathematics philosophy. It’s not suit for people that are underpressure. The other dilemma is about Bahasa. As mathematics student who use English as a basic lecturing, it’s difficult to study philosophy of mathematics education.

The important things is, philosophy need time to think over. So, although it has many dilemma, a student especially mathematics student should study it because it’s important course in mathematics education. Young people such that a student have a good adaptation to solve a problem and to receive something new, so it’s not a problem to study it in this semester.

Dr. Marsigit said,”I am not the position of giving”. And philosophy mathematics learning must be alive. It menas that studying philosophy can not be texted book. Student must create their own philosophy. The philosophy about mathematics. Studying philosophy doesn’t need to write too much. We can connect it with other discipline such existence, reality,

Philosophy is such a world, like the “word”, the world of animal, the world of plant, the world of studying, and soon. We can put the word “world” in front of anything. That’s why studying philosophy must be alive. So the method to study it is alive too such that reading mathematics philosophy’s article, etc. Beside that philosophy is such that a mirror so that it need to be reflected. Like in our daily need, we need a mirror to look our performance.

According to Wikipedia, philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics. The aim of the philosophy of mathematics is to provide an account of the nature and methodology of mathematics and to understand the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts.

My Question is, what sub material will we learn in philosophy of mathematics education?

Makhluk tak berkaki itu, ular berbisa. Makhluk yang telah membuatku takut dan menangis. Begitu berharganya waktu.

Begitu berharganya sang waktu..

Siang-siang ditelp adek, dengan paniknya bilang ibu digigit ular. Spontan aku pun heboh sendirian di rumah. Entah apa yang aku pikirkan. Hanya ada laptop dan hp. Ah kelamaan kalo googling. Aku pun lari keluar, untung ada tetanggaku yang menenangkan aku. *thx a lot J. Langsung cabut sanden-pandak berbekal sepeda onthelku sejak jaman SD (sisa kendaraan yang ada di rumah), yak mbalap 15 menit akhirnya sampe juga di pandak. 15 menit itu lama banget kawan. Aku pun harus melawan angin (ah udah biasa itu jaman masih sekolah SD-SMP, tapi sekarang?). Di jalan nafasku begitu terengah-engah, kerasa banget diliputi rasa panic, was-was, daaaaaaannnnnn aku pun menangis di jalan, sambil SMS kawanku SMA yg juga calon dokter, pikirku seenggaknya dia tau ilmunya. Yak benar dia pun menasehatiku dg tanggapan SMSnya yg begitu cepat dalam keadaan panic. Thx kawanku J. Gak Cuma itu, aku pun beberapa kali telp adekku *maklum namanya juga orang bingung. Maklum lagi, aku paling takut bahkan takut bangeeeeetttt sama ular. 

Dulu pernah ada ular masuk rumahku 2x yang paling mengerikan. yang satu itu gedhe di dapur. Saat itu aku pun sedang sendirian. Yang kedua di dalam rumah juga. *MENGERIKAN pokoknya ! Aku pun pernah sampai trauma dan pindah kamar tidur L. Ketika aku bertanya sama tetanggaku, kawan2ku di rumah, emang mereka pun pernah mengalami hal yang sama denganku, misteri makhluk tak berkaki.

Lanjut ceritanya..

Sampailah aku dan sepeda onthelku di pandak. Di sana tinggal adekku sendirian. Yak, ibu sudah di bawa ke pawang ular. Alhamdulillah, sedikit lega, meski belum bertemu. Akhirnya selang beberapa menit, bapak dan ibu pulang. Senang rasanya melihat ibu bisa tersenyum. Hmm, dan akhirnya aku melihat bekas gigitannya. Teringat SMS dari kawanku tadi, "----------segera dibawa ke dokter.. 

Di sana, sempat ibu disuruh opname, namun beliau memilih rawat jalan saja. 

Okeee, keadaan sudah tidak segenting tadi, aku pun pulang persiapan rapat KKN-PPL di area kampus. sebenarnya pengin banget ga ikut dalam keadaan seperti ini, namun harus konsekuensi dengan kata-kata, kemarin udah bilang kalo sabtu aku pasti datang. mau ga mau harus ditepati dong.

Jam menunjukkan pukul setengah 5, kembali ke pandak, menunggu ibu pulang, selang beberapa waktu kemudian mereka pun pulang dari rumah sakit. Alhamdulillah terimakasih ya Alloh. Akhirnya aku pun berangkat rapat. Teeeeteeetttttt

Singkat cerita, waktu menunjukkan pukul 7 malam, rapat selesai, segera pulang. Di jalan SMS adek, katanya aku disuruh langsung pulang saja, tetangga dekat lagi pada jenguk. *terharu campur sedihhhhhh. Aku aja baru mau pulang, rapat KKN-PPL T.T Malamnya, budhepun telp, bagaimana keadaan ibu. Alhamdulillah sudah membaik. Aku pun disuruh berangkat rapat lagi, yak rapat muda-mudi + arisan + yasinan. Jam tengah 9 baru berangkat, untung belum mulai acaranya. Okeeee in the end.....

Kawanku..

Kita hidup di dunia ini begitu singkat.

Ketika kita mengulur waktu tanpa beban, yaa kita hanya akan mengalir saja.

Namun ada masa dimana seseorang begitu akan merasa bahwa waktu itu benar-benar berharga.

Kawanku..

Gunakanlah waktumu sebaik-baiknya.

Mungkin memang benar waktu itu egois.

Kita takkan pernah bisa meminta waktu untuk menghargai kita.

SEMANGAT MERAIH MIMPI

karna hidup ini meraih bukan mengalir

SELAMAT PAGI^^

To Identify Design of Innovative Teaching Learning Process of Mathematics

The teaching learning design in education is very important to help teacher to create, arrange, and organize learning so that education event are able to occure. Design of learning is usefull to guide learning process effectively. Mathematics learning has goal to facilitate student to be critical, humanistic, adaptive students. Design of learning that can accommodate that goal is design of learning that grounded in constructivism paradigm as alternate paradigm. problem solving and reasoning model, inquiry training model, problem-based instruction model, conceptual change instruction model, group investigation model, problem base learning model,research Juriprudensial model, social research model are the designs that are grounded on constructivism paradigm that concluded as innovative learning that suitable on humanistic learning.

Teaching mathematical concepts to students who do not have a very strong background in mathematics is always challenging. This experience is also extremely rewarding when these students begin enjoying the journey, which leads to mastering the concepts. This paper will demonstrate how we can make it possible for learners with an average secondary education level of mathematical skills to make thetransition to a more advanced level more successfully. The main purpose is to determine if the use of innovative methods of teaching (including the technologies associated with modern computing) enhances learning.

According to Baradiya, innovative teaching are required following points:

1.      Subject Matter

It method may be called the vehicle of instruction, subject – matter may be labeled thecargo of instruction. To load an efficient vehiclewith worthless cargo would, of course, be absurd;to use efficient methods in the teaching of worthless subject matter would be equally absurd.Another of the necessary requisites, therefore, foreffective teaching is desirable subject matter. Thiswill meet the needs of pupils and of adults in acomplex and rapidly changing civilization.

The recent slogan, “Teach children ratherthan subject-matter,” is as fallacious as would bethe opposite slogan, “Teach subject-matter ratherthan children”; in sober fact, both subject-matterand children must be taught.

2.      Psychological Law

Learning process is very complex – that it isone of the most baffling things in the world.Although experimentation and other types of investigation have provided much informationregarding the way in which the human mindworks, even the Solomon’s of the profession arestill far from knowing the exact way in which itworks and the (stimuli) which make it work best.Probably the most valuable discovery of psychological investigations has beenconcerning the nature and extent of individualdifferences.

3.      Biological Law

He must also know and follow the bestbiological laws. He must know more than howthe mind works; he must know how the wholehuman organism works. He must realize thatthe whole child comes to school, and notmerely the mental nature of the child. Heshould know that anything which effects onepart of the organism also effects every otherpart of the organism.

4.      Good Environment

The most effective learning can takeplace only when the environmental setting isbest. This means, among other things, thatthe school plant, namely, the site, building,and equipment must be adequate, safe,sanitary, comfortable, and attractive. Overmany-probably most-of these details schoolofficials rather than teachers have control.

For example, teachers can suggest thatshades be secured for the windows, that desks be placed so that the light will enterfrom the left side of the room, that anadequate and wholesome water supply bemade available and that desk secured.

5.      Classroom Management

Closely related to proper school and classroom environment is effective classroom management. For the details of classroom management the teacher is almost wholly responsible. Among the more important detailsof classroom management for which the teacheris largely or wholly responsible are the following; providing for the proper seating of the pupils;arranging for the pupils to pass to and from theclassroom and the building at noon, recesses,and other school intermissions; checking of attendance; providing for the distribution,administration, and supervision of educationalsupplies and equipment; arranging for fire drills;and in general, making certain that everything

References

-          Pangkajkumar, Baradiya. 2011. Quality Education through Good Teacher and Innovative Teaching. http://www.scribd.com/doc/14443673/Quality-Education-Through-Good-Teacher-and-Innovative-Teaching accessed Sunday, March 4^th, 2012 at 07.11 AM

-          Nooriafshar, Mehryar. 2011. The Use of Innovative Teaching Methods for ‘Maximising’ the Enjoyment from Learning Mathematical Concepts. http://www.cimt.plymouth.ac.uk/journal/nooriafsharm1.pdf accessed Sunday, March 4^th, 2012 at 08.47 AM

-          Wayan, Santyasa. 2005. Model Pembelajran Inovatif dalam Implementasi Kurikulum Berbasis Kompetensi. http://file.upi.edu/Direktori/FIP/JUR._PEND._LUAR_SEKOLAH/194704171973032-MULIATI_PURWASASMITA/PEMBELAJARAN_INOVATIF_1.pdf accessed Monday March 5^th, 2012 at 07.23 PM

Developing Mathematical Instructional Design

Mathematics is very important in our daily activity. Mathematics collaborated with other science such that chemistry, biology, physics, economics, etc. Mathematics is the queen of science because everything need mathematics. Instructional Design Mathematical Design must be developed anytime. It must be step by step and continuously. There are many aspect

Mathematics lesson plan is more explanation from mathematics syllabus, and become important component from curriculum that must be developed professionallity. Developing mathematics lesson plan at least contain three activity, they are identification of need, determine the basic competence, and arrange learning program. They are at least two function of mathematics lesson plan, they are planning function and  implementing function.

The mathematics worksheet can be theoretical or practice. Theoretical task such that task for reading an certain article, etc. Practical task such that doing experiment at laboratorium, etc. The adventages of mathematical worksheet is make easy for teacher to do learning activity. For the student, the mathematical worksheet make students study mathematics independently and study to understand and do written mathematics task.

Apperception is the readiness student to catch the material. In apperception, teacher pursue the student to recall the material before by giving the student some question, etc. The apperception of mathematics have function to connect the student thinking about mathematics material in order the material are connected each other.

They are various of teaching methods that can be apply in mathematics teaching learning such that demonstration method, discussion method, expository method, recitation method, experimental method, team teaching learning, etc. The various methods of mathematics learning have goal to make the student enjoy studying mathematics. Traditional methods that teacher do in the past make the student bored and have a paradigm that mathematics just only the number that are difficult to understand. But it’s a wrong understanding.

Teaching aid is the instrument that fulfill the student in studying. Mathematics teaching aids is the instrument that can help student in understanding mathematics. Everything in the student environment can be teaching aids. The goal of the using teaching aids is make mathematics become concrete.

Interaction is one of the aspect of learning that must be achieved by student. Social interaction is very important for the growth of student. By social interaction, student can growth more compared by the student that have less social interaction. A student that solve mathematics problem by discussion is one of the example of social interaction.

Small group discussion is a small group for discussion. Teacher just as fasilitator that have function to help the difficulty that student found at the discussion. By small group discussion student will become interactive,  creative, and interactive. It also have function to improve social skill of students.

Presentation means the result of the student discussion. Reflection is something that can be reflect or reviewed in the end of the learning. Reflection of mathematics can be reviewed of mathematics material that have be studied. A presentation or reflection can be done individually or by group.

Presentation or reflection have function to remember what students get in that meeting in order student understand or try to know and recall what competence that must they achieved in that meeting. Focused the concentration of student to study mathematics.It is very important. Not only concern in the result, but also concern in the process.

An conclusion is something that can be assume in the end of learning. In mathematics learning, the student review the material that are gotten in their studying. That conclution not from teacher but from the students. Student’s conclusion can be read when the class will be finish. The teacher just complete the student’s conclusion after the students read the conclusion randomly.

Assesment means student record. In mathematics learning activity, teacher must record all activity that done by the students. Assesment not only for evaluating, but also identifying the mathematics achievement process continuously that contained three aspect (cognitive, psycomotoric, and affective).

Resume of English for Mathematics Education I (1-1-2012)

Developing Teacher Training Textbooks for Lesson Study

in Indonesia

Oleh                :  Dr. Marsigit, M.A.

Ikhtisar Oleh   : Dian Andarwati_09313244020

Salah satu tujuan pengembangan teksbook untuk siswa matematika sekolah menengah seharusnya selalu diperhatikan kriteria dari teksbook yang bagus. Sementara kehidupan yang dinamis dan perubahan yang besar dari waktu ke waktu, gaya hidup, dan kebutuhan setiap orang selalu berubah. Jadi untuk waktu tertentu dan konteks tertentu, tidak ada kriteria yang pasti untuk teksbook yang bagus. Akan tetapi pengarang boleh menggunakan teori dan asumsi, membagikan dan menggantikannya agar mampu menyediakan teksbook yang diharapkan. Tujuan pengembangan teksbook seharusnya sejajar dengan program lainnya. Masih pertanyaan yang tersembunyi dalam pengembangan teksbook untuk siswa matematika sekolah menengah: apakah hakekat pembelajaran matematika itu? Apakah hakekat dari matematika sekolah itu? Apakah hakekat dari siswa? Belajar matematika? Apakah hakekat dari tujuan pembelajaran matematika? Apakah hakekat dari mengajarkan sumber belajar? Apakah hakekat dari penilaian matematika? Dan apakah hakekat dari berpikir matematika itu?

Secara spesifik, untuk tujuan pengembangan teksbook siswa matematika sekolah menengah, kita perlu mempunyai gambaran yang jelas dalam bagaimana merencanakan dan mengimplementasikan aktivitas dalam kelas seperti: aktvitisa penyelesaian masalah, terkait member alasan matematis dan pembuktian, komuniaksi matematika, hubungan matematika, representasi dalam matematika, peranan teknologi dan ICT, konten penyusunan dan pengembangan bakat, konten yang relevan, seberapa dalam ketertarikan siswa dan kemampuannya, materi yang mudah untuk diikuti dan dipahami,. Pada objek yang diberikan dalam setiap sesi, latihan dan aktivitas terkait objek pembelajaran, pengembangan grafik yang bermanfaat dan relevan, table, diagram, visual, dan level membaca serta bahasa yang digunakan siswa di sekolah menengah.