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“PERSOALAN PEMBELAJARAN MATEMATIKA DI SEKOLAH”


Oleh :
M a r s i g i t
Kesimpulan oleh :
Rakhmatika Sri Wardhani/10305144046
Htto://rakhmatika-wardhani.blogspot.com

From the results of research by the author (1995, 1997, 1999, 2002) shows that the bulk of math teachers still implements traditional mathematical learning, is learning mathematics by relying on a single method expository with the cycle: explaining, giving examples, asking questions and giving the task in the classical style . With this method then the math teachers have difficulty in: 1) serve various needs / demands of the students in learning mathematics, 2) encourage underachieving students to improve academic achievement, 3) encourage students to learn actively, 4) use and develop mathematical and props 5) encourage students to learn through collaboration. Development of mathematical models of learning through action research to overcome the difficulties of service of teachers to give students a positive impact, but in actual experience obstacles both technical, academic, and socio-cultural.
1.      Nature of business teachers meet the academic demands of a wide range of students, encourage students to improve achievement of low achievers, encourages students to learn actively, and encourage students to learn through collaboration, can be done by: Developing Student Worksheet (BLM), form a study group, developed a method of discussion class / group, develop visual aids and media education,
2.      In the effort to develop a model of learning can be concluded
a.       Teachers are still experiencing difficulty in meeting the various demands of the student's academic.
b.      Teachers have developed a scheme to encourage students to improve achievement of low achievers.
c.       Master has managed to create the conditions so as to encourage students to learn actively; but still have difficulty in developing the scheme.
d.       Master has managed to create conditions to encourage students to learn through collaboration; but still have difficulty in developing the scheme.
e.       Teachers have tried to develop methods of discussion, problem solving and training and the provision of duty; but still have difficulty in developing the scheme.
f.       In general, teachers have sought to develop a learning method in accordance with the purpose of action research; but teachers experiencing technical difficulties, academic and fundamental.
Technical difficulties of teachers in developing teaching methods namely the unavailability of equipment or facilities necessary learning.
Academic difficulties teachers in developing teaching methods are
incompatibility has not been the perception of teachers about the meaning of mathematical learning models learning model according to the theory referred to.

KEGIATAN PENELITIAN SEBAGI USAHA UNTUK MENINGKATKAN PROFESIONALISME GURU MATEMATIKA


Oleh: Dr. Marsigit

Kesimpulan oleh:
Rakhmatika Sri Wardhani/10305144046
http://rakhmatika-wardhani.blogspot.com

Research is an activity to gain knowledge called science, carried out with certain procedures that are systematic and supported by a methodology which is an assessment of the rules in his method. As a teacher or math teacher candidates are required to always perform innovative discussion on how we gain knowledge about the learning of mathematics in accordance with the latest trends. Our knowledge of the desired aspects of learning mathematics as a knowledge of a scientific nature that is an understanding of the workings of the mind of individual students in learning mathematics, how to gain an understanding of the architectural aspects of learning and how teachers understand the analogies between the student's knowledge, teacher knowledge and knowledge practitioners about learning mathematics. If we want teachers of mathematics education reform mathematics education research it will become a necessity. Apart from the formal legal aspects of mathematics education research activities either by teachers, lecturers as well as by prospective teachers will be members many benefits. With the study of mathematics education we can know of any individual or group differences in learning mathematics, we can determine the position of students in a group, can compare learning outcomes between groups. We also can do a match between goals and results of learning outcomes. Research results can be used for refining the program, counseling, provision of information to the public. Besides that we also can do a comparison between the performance and criteria for each dimension of the program and refining the program and the inference results of mathematics education as a whole. Then we can conduct studies on the implementation of the program, the environmental impact study, the influence of the program, curriculum or syllabus of learning outcomes, and ultimately used for the improvement of mathematics education program as a whole.

Make question and answer the solve of disaster


Question :
Merapi disaster that occurred some time ago has left a deep trauma for the people living in the slopes of Merapi. Many of the casualties caused by these events. A family is losing her mind. From past experience in mind that the chances of the child's death was 0.02. If a volunteer opportunity estimating the child's death and the true estimate is 0.78 and the estimated odds that the child's life and forecast is wrong is 0.06. Calculate the odds that the approximate results for the child is the child completely dead. 
Answer :
P (A) = chance of the child's death
P (A ') = the life chances of children
P (B | A) = chance of dying children and the proficiency level estimate of true volunteers
P (B '| A) = chance the child is dead and one estimate of volunteers
P (B | A ') = the life chances of children and volunteers correctly estimated
P (B '| A') = the life chances of children and volunteers incorrect estimates 
P(A)= 0,02
P(A’)= 1-0,02=0,98
P(B|A)=0,78
P(B’|A)=1-0,78=0,22
P(B’|A’)=0,06
P(B|A’)=1-0,06=0,94
P (B) = chance the child is completely dead 
P(B) =P(A). P(B|A) + P(A’). P(B’|A’)
= 0,02 . 0,78 + 0,98 . 0,06
= 0,0744 
So the volunteers estimate the odds that the child actually died is 0.0744.



banagsjujwsduiwiwi

DEVELOPING MATHEMATICS EDUCATION IN INDONESIA


Kesimpulan Oleh:
Rakhmatika Sri Wardhani/10305144046/Bahasa Inggris/ MATSWA’10
Rakhmatika-wardhani.blogspot.com

Pada saat ini studi tentang pendidikan matematika dan ilmu sains di Indonesia mengindikasikan bahwa prestasi anak dalam mata pelajaran matematika dan sains ini masih rendah, hal ini dapat ditunjukkan dengan hasil Ujian Nasional yang dari tahun ke tahun masih belum maksimal dalam pencapaian target kelulusannya baik di sekolah dasar maupun di sekolah menengah. Penguasaan anak dalam bidang matematika dan sains cenderung masih rendah. Adanya sistem Ujian Masuk Universitas dianggap sebagai pemicu guru sekolah dasar dan menengah untuk lebih berorientasi pada tujuan dari pada proses dalam pengajaran matematika dan sains di Indonesia. Dalam mempersiapkan guru-guru sekolah dasar dan menengah, kita menghadapi masalah seperti rendahnya potensi akademik yang dimiliki si calon guru tersebut. Pelatihan guru matematika dan sistem untuk guru tidak teroganisir, terintegrasi, dan sistematis baik dari segi konten dan manajemennya. Untuk meningkatkan meningkatkan pendidikan matematika dan sains , telah diadakan kerjasama internasional yaitu JICA. Proyek kerjasama pengembangan pengajaran pendidikan matematika dan sains ini telah berlangsung sejak 1 Oktober 1998. Untuk empat tahun pertama, telah banyak kegiatan yang dilakukan di tiga universitas (Universitas Pendidikan Indonesia, Universitas Negeri Yogyakarta dan Universitas Negeri Malang). Diharapkan hasil dari proyek harus memiliki efek langsung ke sekolah. Piloting didefinisikan dengan kegiatan pengembangan dan mencoba beberapa model mengajar di sekolah. Para dosen dan guru bekerja bersama-sama di sekolah-sekolah untuk mengembangkan model pengajaran yang dibutuhkan di lapangan. Strategi dasar untuk uji coba adalah mempromosikan paradigma baru pendidikan matematika dan sains. Tujuan dari uji coba adalah untuk memberikan kontribusi terhadap peningkatan pendidikan matematika dan sains di sekolah-sekolah dengan mencoba beberapa hal yang dikembangkan dalam proyek ini yang langsung berhubungan dengan sekolah. Melalui piloting banyak guru yang memperkenalkan beberapa inovasi belajar dalam mengajar matematika dan sains. Guru yang terlibat dalam kegiatan piloting ini harus berpikir dan mengembangkan cara-cara baru tentang bagaimana untuk membiarkan siswa belajar dan membangun konsep sendiri.
Pemerintah Indonesia berusaha dengan sendirinya untuk mengatasi beberapa persoalan yang berkaitan dengan pendidikan dan segera mengambil tindakan untuk menerapkan kurikulum baru “kurikulum berbasis kompetensi” untuk pendidikan dasar dan menengah yang mulai efektif digunakan pada tahun 2004/2005. Hasil pemantauan uji coba kurikulum baru yang dilakukan di beberapa provinsi menunjukkan bahwa kendala masih datang dari masalah yang sama yaitu kurangnya motivasi dan kompetensi guru serta tidak mendukungnya sistem manajemen pendidikan.

The Effort to Increase the Student’s Motivation in Mathematics Learning with Some Teaching Aids in Junior High School 5 Wates, Kulon Progo, Yogyakarta, Indonesia


Kesimpulan Oleh:
Rakhmatika Sri Wardhani/10305144046/Bahasa Inggris/ MATSWA’10
Rakhmatika-wardhani.blogspot.com

Keberhasilan proses belajar mengajar Matematika tidak jauh dari guru yang berperan sebagai informator, komunikator, dan fasilitator. Metode mengajar yang digunakan oleh guru dapat mengahalangi interaksi antara guru dan siswa. Sampai sekarang, matematika masih dianggap sebagai mata pelajaran yang menakutkan, tidak menarik, dan sulit untuk dipelajari juga dipandang mata pelajaran yang tidak berkaitan dengan kehidupan sehari-hari. Hal ini dibuktikan dengan rendahnya perolehan nilai matematika dalam Ujian Nasional meskipun disisi lain masih banyak siswa yang berprestasi di bidang matematika. Salah satu upaya guru dalam meningkatkan motivasi siwa dalam pembelajaran matematika di Sekolah Menengah Pertama adalah dengan membuat metode pembelajaran matematika menjadi menarik dan menyenangkan dengan memaksimalkan penggunaan beberapa alat bantu pengajaran dan alat demonstrasi pembelajaran. Dengan ini diharapkan dapat membantu proses pemahaman siswa yang masih megalami kesulitan dalam belajar.
Hasil penelitian yang dilakukan di SMP 5 Wates, Kulon Progo, Yogyakarta menunjukkan bahwa dengan menggunakan beberapa alat bantu mengajar seperti papan yang dipaku, karet gelang, kartu, simpul lembar kerja siswa, kertas transparansi, benang sipat, dan tiga bilah kayu, bisa digunakan sebagai model dalam pengajaran matematika untuk meningkatkan motivasi siswa dalam proses belajar mengajar.

STIMULATING PRIMARY MATHEMATICS GROUP-DISCUSSION


Kesimpulan oleh :
Rakhmatika Sri Wardhani/10305144046/www.rakhmatika-wardhani.blogspot.com
Matematika Swadana 2010

Mengamati perilaku siswa ketika mereka berinteraksi dengan benda-benda di sekitarnya atau orang-orang disekitarnya mungkin menjadi titik awal untuk membahas tentang pembangun mekanisme kognitif mereka. Penelitian ini, dilakukan di Siswa Kelas 6 Matematika Dasar SD Gambiranom, Yogyakarta, Indonesia. Penelitian menyelidiki kegiatan siswa dalam membangun karakteristik pola nomor yang dihasilkan dari penambahan dan pengurangan yang setiap dua reversibel dua digit angka. Tujuan dari penelitian ini adalah untuk mengeksplorasi peran guru dan siswa kegiatan dalam tiga siklus yang berbeda dari penelitian tindakan kelas.  Interaksi anak dengan orang dewasa dalam hal model partisipasi, dipandu dimana anak-anak mengamati dan berpartisipasi dalam kegiatan, membuat tuntutan pada orang dewasa untuk mendukung mereka dalam kegiatan yang mereka ingin terlibat didalamnya. Model ini secara luas dipahami dalam hal
tiga proses memilih dan penataan kegiatan anak-anak, penataan tanggung jawab
dalam memecahkan masalah bersama dan transfer tanggung jawab untuk kegiatan pengelolaan. Diskusi kecil kelompok dapat dianggap sebagai perangkat budaya. Kegiatan ini diselenggarakan oleh guru yang mencoba untuk mendorong anak-anak untuk mengkomunikasikan konsep mereka kepada orang lain.
Dalam penelitian tibdakan kelas, peneliti menemukan bahwa jika guru jika guru memiliki kesiapan yang baik dan mengembangkan beberapa skema untuk mengajar para siswa, peran sebagai konstruktor dari pengetahuan mereka akan menjadi jelas. Namun, penelitian ini menunjukkan bahwa anak tidak hanya melakukan kegiatan dibawah bimbingan uru, mereka juga mampu mengembangkan kegiatan mereka sendiri berdasarkan pengaruh pada arah dan focus kegiatan sendiri. Dengan mengamatipada transisi dari satu aktivitas ke aktivitas lainnya, peneliti menemukan bahwa beberapa lembar kerja yang dikembangkan oleh guru telah mempengaruhi jalannya kegiatan dan telah memulai interaksi antara siswa dengan guru. . Penelitian ini juga menunjukkan bahwa kita dapat menafsirkan peran guru melalui siswa perspektif tentang interaksi. Penelitian ini menyimpulkan bahwa melalui penelitian tindakan kelas siswa tidak hanya menjadi sebagai pembelajar aktif tetapi juga sebagai konstruktor hidup pengetahuan mereka sendiri.

Pembelajaran Matematika Berbantuan Kalkulator: Studi Kasus Penggunaan Kalkulator Texas Instrument TI 89 pada PBM Matematika di SMK MUHAMMADIYAH IV YOGYAKARTA


Concluding remark
By : Rakhmatika Sri Wardhani/10305144046/www.rakhmatika-wardhani.blogsot.com
Matematika Swadana 2010

Calculator became the key position of the mathematics learning process in developed country. It is indicated with using calculator in the mathematic learning process from the elementary until the senior education. Moreover, the research about graphic calculator indicated with the number of journal, books, the report of conference and dissertation which discussed about graphic calculator. The kind of calculator is seven-league boots with the modern technology. From the utilization, there are two kind of the calculator, that is common calculator and scientific calculator. Usually, common calculator applying in daily live. One of the example from scientific calculator is graph calculator. Graph calculator have excess than common calculator, the excess of scientific calculator is the ability to done the mathematics exact and appearing in the graphic. The aim of case study is to identifying the utilization of graphic calculator in mathematics learning process and to know the student response about utilization of graphic calculator on process. Place of the research is in SMK Muhammadiyah IV Yogyakarta, on February until June 2003.

From research conducted, the conclusions obtained are:
  1. Stages utilization the calculator as a tool. Stages use the calculator as a learning tool mathematics at SMK Muhammadiyah Yogyakarta IV, can be done as follows:
The first stage is the stage of understanding about the significance of the graph calculator. The essence of the understanding process is explained in basic and detail on the graph calculator.
The second stage is the stage of understanding the theory and use of graphs calculators
in equations and inequalities to solve problems. The second process is focused on how students understand the command, symbolic manipulation, and graphs to solve problems and equations inequalities with graph calculator.
The third stage, namely stage of entering data about the graph calculator. The process of entering data into the calculator about process to moving the language into the language of mathematics in the matter of the graphing calculator.
The fourth stage is the stage interpretation of the graph calculator screen and draw conclusions.
Of the five above process, can mean that students will experiencing the process in a row. This means that the process is an inductive process.
  1. Use of graphic calculator. From research conducted, there are some aspects use of graph calculators in learning mathematics as the following:
  1. Graph calculator is useful to determine and match graphic images
  2.  Graph calculator is useful to determine and match answer set solution
  3.  Graph calculator to give you real experience of graphic images.
  4. Settlement about equations and inequalities can be using the command, symbolic manipulation and graphics.
  5.  Graph calculator is useful to provide answers previously calculated without a calculator and speed up the completion mathematics question.
  6.  The constraints experienced by students in using the graph calculator is a paraphrase sentence into the language of mathematics calculator and disclose any appearance of the calculator screen to in math sentences.
  7.  With the graphing calculator in the mathematics learning process, math lesson more interesting and solving math problems easier.
  8. If the use of graphing calculators without the ability to offset understand the operating procedures and to think mathematically, it can be cause high levels of dependency, loss of
    selfconfidence, and lazy thinking.