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Who am I? POSTED BY KARTIKO RACHMAN Y.P. DECEMBER 25, 2010 ON 16:07 WIB
Mathematics and World, two parts of my life which will not be separated. Mathematics is my life. Mathematics is so life and I live in this earth's surface, in our world. Perhaps, you think that there is no relation among mathematics and world, but think deeply. When you spare
STOP
more time to think, to learn, our life, we shall find that any things in this world will have relation. I am mathematician. You are mathematician. We are ...
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Apa itu satu tiada dua? yang satu tiada dua adalah Allah SWT, karena saya menempatkan spiritual bangsa timur yang paling teratas [ya, memang Alloh adalah yang Maha Esa, tidak ada Rob, tiada Illah selain Alloh. Keberadaan Alloh yang Esa tidak dapat disangkal dan tidak ada yang dapat menyemainya]
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Apa yang dua tiada tiga? yang dua tiada tiga adalah siang dan malam, filsafat ini didukung oleh sebuah tanda dari kebesaran Tuhan yang menciptakan siang dan malam secara berpasangan dan silih berganti berulang terus menerus tiada yang lain, seperti pada kandungan surah Al Isra ayat 12 [siang dan malam diciptakan Alloh secara berpasangan bergantian silih berganti untuk menemani hidup manusia, siang dan malam merupakan dua yang tidak ada lainnya, jika dijawab telinga atau mata atau
MATHEMATICS AND WORLD
tangan, maka hal tersebut bukan dua yang tiada tiganya, sebab ada manusia lain yang juga memiliki hal Home
tersebut]
Products Apa yang tiga yang tiada empat? tiga tiada empat adalah kekhalifaan Nabi Musa bertemu Nabi Khidir ketika menengelamkan sampan, membunuh anak kecil dan menegakan dinding yang hampir roboh.
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[hal tersebut merupakan hal yang berisi pelajaran yang sangat berharga bagi Nabi Musa dalam menguji
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kesabarannya]
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Apa itu empat yang tiada lima? yang empat tiada lima adalah kitab yang turun dari Allah SWT, yaitu Injil, Taurat, Zabur dan Al-quran [Empat buah kitab suci memang hanya ada empat yang ditutup dengan Al-Qur’an]
Apakah yang Lima yang tiada enam? adalah sholat wajib lima waktu, subuh, dzuhur, ashar, magrib dan isya, [waktu sholat wajib bagi kami umat muslim memang hanya ada lima yaitu seperti yang disebut di atas] Apakah itu enam yang tiada tujuh? Adalah jumlah hari ketika Allah SWT menciptkan makhluk [menurut saya ada hal lain yang disebut sebagai rukun iman, suatu jajaran hal yang harus diimani oleh manusia: Iman pada Alloh, Iman pada Malaikat, Iman pada Kitab-Kitab, Iman pada Rasul, Iman pada Hari Kiamat, dan Iman pada Qada’-Qadar] Apakah itu tujuh tiada delapan? Adalah langit yang tujuh lapis [Seperti yang disampaikan dalam Al-Mulk, langit adalah ciptaan Alloh yang terdiri dari tujuh lapis] Siapakah yang tercipta tanpa adanya Ayah dan Ibu? Yang tercipta tanpa ayah dan ibu adalah Nabi Adam [tidak hanya Nabi adam, namun unta Nabi Shalih yang muncul dari balik gunung dan Kambing yang menggantikan Nabi Ismail merupakan makhluk Alloh yang diciptakan tanpa bapak dan ibu]
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ABOUT ME Kartiko Rachman Y,P. Try to save the earth... there is so many big idea saving world in this little earth View my complete profile ARSIP BLOG t 2012 (2) t November (1) Filsafat itu menguatkan Keislaman jika Saya Islam February (1) 2011 (8) 2010 (1) MY BEST FRIENDS
Apakah Kunci surga? Kunci surga adalah ketaqwaan, [sebelum ketaqwaan ada syahadat, yang merupakan syarat amalan diterima oleh Alloh sesuai dalam rukun Islam, syahadat diletakkan sebagai hal yang pertama] Apa yang tidak dimiliki Allah? Tidak ada satupun yang tidak dimiliki oleh Allah [Alloh memiliki dua hal yang tidak dimiliki di dunia, yaitu istri dan anak, Alloh tidaklah menikah dan tidak memperanak] Diamana dan darimana cinta itu abadi? Adalah cinta Allah kepada hambanya [Saya setuju dengan pendapat Rajit untuk hal ini]
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Sebagian pertanyaan diambil dari dialog antara seorang muslim di Amerika dan Pastur. [http://mualaf-alhamdulillah.blogspot.com/2012/03/kisah-nyata-satu-gereja-masuk-islam.html] posted by Kartiko Rachman Y,P. on Tuesday, November 13, 2012 3 comments
Reflection of the First Meeting at Mathematics Instructional Design Mathematics instructional design was born from the general instructional design. Generally, the important things in the instructional design are various, background and the example. However, mathematics needs more specific things to make it mathematics. Aspects on mathematics will be added reach marking aspects and appropriate aspects. When we have already known about those aspects, then the problem will be going as how to develop the mathematics instructional design. To develop it, we first should be known any aspects influence teaching learning process. So many aspects influence teaching learning process: class management, paradigm/theory teacher use, context/culture, assessment, learning resources, philosophy of teaching, teaching aides, worksheet or activity sheet, syllabi or lesson plan, also method and approach.
(scheme of teaching learning process and its factors)(1) We start from the paradigm, we are going to go to the new paradigm of teaching that students as the main actor in the teaching learning process, students centre. Leaving the old paradigm that teacher as the main actor in education, Indonesia has so many new paradigm of teaching and many methods known by teachers. Both method and approach are students centre and give many chance to students to do competition. Realistic Mathematics, Problem Solving, Constructivism, and others today be the popular approach. I personally like problem solving and problem solving to construct student’s mind. Lesson plan is teacher’s detailed description of the course of instruction. A daily lesson plan is developed by a teacher to guide class instruction. When a teacher develops any lesson plan, he must remark some important things of arranging lesson plan. They are taking into account the individual difference of learner, encourage active participation of learners, developing culture of reading and writing, provide feedback and follow up, linkage and integration, applying information and communication technology. There are so many ways to teach –we will discuss it at point various method of teaching, so there is also many strategy and creativity creating lesson plan. Student’s work sheet is one of instrument teacher can use to construct knowledge of his student. Base on problem base learning, students’ work sheets is the soul of this method. Student is given chance to make any relation between one material to another material, make representation, and also do problem solving. By this method, not only constructing the knowledge but also constructs the spirit and soul to create a good personal. There are two types students’ worksheet based on explanation of Marsigit: Unstructured Student’s Worksheet Unstructured student worksheet is the sheet that contains the means for the subject matter, as a tool for learner activities that used to deliver lesson. Here, student worksheet is teaching tools that can be used to accelerate learning, encouraging learning among individuals, contain few instructions, written or oral to direct work on learners. Structured Student Worksheet This student worksheet contains structured information, examples and tasks. It is designed to guide learners in a work program or subject, with little or no help coaches to achieve learning objectives. It is prepared on the instructions and guidance, so it cannot replace the role of teachers in the classroom. This reflection is not complete without the cognitive scheme because the important is how to construct the knowledge. Cognitive scheme is not far from schemata. There are some choice of method to educate make the education world be shiny. The new paradigm, students construct their knowledge. Also, we can’t transfer of knowledge to the students. The new paradigm also said that teacher is just as facilitator, not dominate his students, and then teacher must make curriculum that satisfy their students ability. That is some application of scaffolding in learning mathematics. Scaffolding itself is to be defined as interaction among the older to the younger that make the younger can do things beyond his ability(2). Based on mean of scaffolding, this is near to the Zone Proximal Developing (ZPD) of Vygotsky. In ZPD, a student will be developing their ability –in this case, student get problem beyond his ability- when he gets tutorial from the expert people, teacher or friends that have been expert. Before ZPD, a student has factual and actual area. Both factual and actual areas are the ability of the student to learn by himself or by media but without any people help him. Schemata, based on Piaget on forumpenelitian.blogspot.com(3),, are a human thinking that structured. Schemata have other name cognitive structures. This schema can change and develop to be new schema by assimilation and accommodation processes. Assimilation is cognitive processes that allow student to integrate the new information or experience into student’s old schemata to the new schemata. Accommodation is restructuring the old schemata to new schemata because of experience or information, but can’t be integrated easily like assimilation. A schema is quite important in contextual learning. From the real problem, schema is to be the way also bridge connect real problem to the abstract things in mathematics. Marsigit (2010) show us the iceberg concept by the picture above. From the real problem, start to construct schema continue by constructing knowledge by doing assimilation and accommodation, student construct new scheme to the abstract mathematics(4). _______________________________________ (1) This scheme captured from Fauzia Rahmawati’s book depend on Marsigit explanation on February 21 st, 2012. (2) Martini. 2010. Model Pembelajaran Scaffolding.
http://martinis1960.wordpress.com/2010/07/29/model-pembelajaran-sc Accessed at 20:27 September 19, 2011 (3) Forumpenelitian.blogspot.com. Problem Based Learning terhadap Hasil Belajar Matematika. http://www.slideshare.net/guestf6b63af/problem-based-learning-terhadap-hasilbelajar-matematika/download Accessed at 04:25 September 20, 2011 (4) Marsigit. 2010. Pendekatan Matematika Realistik pada Pembelajaran Pecahan di SMP. http://staff.uny.ac.id/sites/default/files/penelitian/Marsigit,%20Dr.,%20M.A./Pendekatan%20 Matematika%20Realistik%20pada%20Pembelajaran%20Pecahan%20di%20SMP_Penataran %20PMRI%20SMP%20BILANBGAN%20PECAHAN%20MARSIGIT.pdf Accessed at 05:04 September 20, 2011 posted by Kartiko Rachman Y,P. on Tuesday, February 28, 2012 0 comments
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