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Prof. Dr.I Nengah Suparta,M.Si .

Universitas Pendidikan Ganesha

Author-ID : 214662

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Kesulitan Siswa dalam Membuktikan Masalah Kesamaan dan Ketidaksamaan Matematika Menggunakan Induksi Matematika I Wayan Puja Astawa; I Gusti Putu Sudiarta; I Nengah Suparta
Jurnal Elemen Vol 6, No 1 (2020): January
Publisher : Universitas Hamzanwadi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29408/jel.v6i1.1746

Mathematical similarities and inequalities are common mathematical statements related to numbers whose truth can be proven by mathematical induction. Proving by mathematical induction involves two main steps, namely the basic step and the induction step. The study of mathematical induction related to similarity and inequality is very important and is still relatively limited in quantity. This study aims to determine whether there are significant differences in students' ability to prove mathematical statements using mathematical induction on mathematical similarities and inequalities problems and identify misconceptions. The study was conducted with a mixed method. A sample of 117 students from two high schools in the city of Singaraja was selected by a random cluster technique to obtain quantitative data. Meanwhile, the research subjects were two students selected based on the misconceptions shown to obtain qualitative data. Quantitative data on the ability to prove the similarity and inequality problems using mathematical induction was collected by written tests and qualitative data on misconceptions were collected by interview. Quantitative data were analyzed by a paired group t-test and by z test for proportions. Meanwhile, qualitative data were analyzed by content analysis of students' works to identify their misconceptions. The results showed that proving the mathematical induction of the inequality problem was more difficult than proving the similarity problem. This difficulty occurs both in the basic step and the induction step. Misconceptions arise due to the fallacy of analogies and interpretations of mathematical notation.

STUDY OF INTEGRATION OF SAD WARNANING RAJANITI VALUES IN MATHEMATICS LEARNING PROCESS AT ELEVENTH GRADE OF SMA NEGERI 1 SINGARAJA TO SUPPORT ANTI-CORRUPTION GOVERNANCE I Made Yoga Emma Prasetya .; Prof. Dr.I Nengah Suparta,M.Si .; Drs. I Nyoman Gita, M.Si .
Jurnal Pendidikan Matematika Undiksha Vol. 2 No. 1 (2014)
Publisher : Undiksha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jjpm.v2i1.3987

Penelitian ini bertujuan untuk mengetahui integrasi Sad Warnaning Rajaniti dalam pembelajaran matematika pada kelas XI SMA Negeri 1 Singaraja dalam mendukung pemerintahan anti-korupsi. Sifat-sifat dalam Sad Warnaning Rajaniti dimodifikasi sesuai dengan nilai-nilai anti-korupsi dan pembelajaran matematika. Sehingga memperoleh indikator-indikator yang digunakan di dalam lembar observasi, angket, dan wawancara. Jenis penelitian ini menggunakan pendekatan kualitatif deskriptif yaitu berasal dari kerangka teori, gagasan para ahli, maupun pengalaman peneliti, dan dikembangkan untuk memperoleh kebenaran dalam bentuk dukungan data empiris lapangan. Subjek penelitian dari penelitian ini adalah guru matematika kelas XI yang terdiri dari tiga guru serta seluruh siswa kelas XI SMA Negeri 1 Singaraja Tahun Ajaran 2013/2014. Siswa kelas XI tersebut terdiri dari kelas XI IA berjumlah 237orang siswa, kelas XI IS berjumlah 9 orang siswa, dan kelas XI IB berjumlah 6 orang siswa. Peneliti meneliti integrasi Sad Waraning Rajaniti dengan melihat pembelajaran yang dilakukan oleh masing-masing guru pengampu di kelas. Data tersebut diperoleh dengan observasi, angket, wawancara, dan studi dokumentasi. Dari hasil penelitian tersebut diperoleh kesimpulan, bahwa pembelajaran matematika di kelas XI IA dan XI IS telah mengintegrasikan Sad Warnaing Rajaniti dengan baik (kategori tinggi) sedangkan pembelajaran matematika yang dilaksanakan di kelas XI IB belum terintegrasi dengan baik (kategori sedang).Kata Kunci : Sad Warnaning Rajaniti, Pembelajaran Matematika, Pemerintahan Anti-korupsi. The purpose of this research was to know the integration process of Sad Warnaning The purpose of this research was to know the integration process of Sad Warnaning Rajaniti values in mathematics learning process at Eleventh Grade of SMAN 1 Singaraja in accordance with the anti-corruption. Characteristics of Sad Warnaning Rajaniti are modified in line with the values of anti-corruption that relevant with mathematics learning for acquiring indicators that use in observation sheets, questionnaire, and interview as instrument of the research. This research was based on qualitative research that using descriptive qualitative sourced from a theory design, idea of the experts and researcher’s comprehension based on experience. All approaches were developed to gain a truth in the form of on field’s empirical data. The subjects of research were mathematics teachers of Eleventh Grade which is consist of different teachers and students of Eleventh Grade of SMAN 1 Singaraja in the academic year 2013/2014. Students of Eleventh Grade consisted of 237 students from science class of eleventh grade, 9 students from social class of eleventh grade, and 6 students from language class of eleventh grade. Researcher was researching the integration of Sad Warnaning Rajaniti by involving in the learning process that conducted by each teacher in the class. That data are acquired by observation, questionnaire, interview, and documentation. The results of research is showed that the integration of Sad Warnaing Rajaniti in science class and social class are good (high category) whereas in language class are fair (medium category).keyword : Warnaning Rajaniti, Mathematics Learning, Anti-Corruption Public.

PENGARUH PENERAPAN MODEL PEMBELAJARAN KOOPERATIF DENGAN METODE TEAM QUIZ TERHADAP PEMAHAMAN KONSEP MATEMATIKA SISWA KELAS VIII SMP NEGERI 2 SINGARAJA I Pt Ade Andre .; Prof. Dr.I Nengah Suparta,M.Si .; Dra.Ni Made Sri Mertasari, M.Pd .
Jurnal Pendidikan Matematika Undiksha Vol. 2 No. 1 (2014)
Publisher : Undiksha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jjpm.v2i1.4001

Penelitian ini bertujuan untuk mengetahui apakah pemahaman konsep matematika siswa yang mengikuti pembelajaran dengan menggunakan Model Pembelajaran Kooperatif dengan Metode Team Quiz lebih baik daripada pemahaman konsep matematika siswa yang mengikuti pembelajaran konvensional. Populasi pada penelitian ini adalah seluruh siswa kelas VIII SMP Negeri 2 Singaraja tahun ajaran 2013/2014, yaitu sebanyak 574 orang. Pengambilan sampel dilakukan dengan teknik random sampling untuk mendapatkan satu kelas kontrol dan satu kelas eksperimen. Desain penelitian yang digunakan dalam penelitian ini adalah Post-test Only Control Group Design. Skor test pemahaman konsep matematika siswa dianalisis dengan menggunakan uji-t satu pihak yaitu pihak kanan. Hasil pengujian hipotesis menunjukkan bahwa pemahaman konsep matematika siswa yang mengikuti pembelajaran dengan menggunakan Model Pembelajaran Kooperatif dengan Metode Team Quiz lebih baik daripada pemahaman konsep matematika siswa yang mengikuti pembelajaran konvensional. Jadi, dapat disimpulkan bahwa Model Pembelajaran Kooperatif dengan Metode Team Quiz memberikan pengaruh positif terhadap pemahaman konsep matematika siswa.Kata Kunci : Model Pembelajaran Kooperatif, Metode Team Quiz, pemahaman konsep katematika siswa This research was aimed to know whether the level of student’s understanding on mathematical concepts who were taught using Cooperative Learning Model combined with Team Quiz Method is better than the one who were taught using conventional learning. The population in this research was all of eighth grade students of SMP Negeri 2 Singaraja in academic year 2013/2014. It consisted of 574 people. The selecting sample was done by using the random sampling technique to get one experiment class and one control class. The research design used in this research was the Post-test Only Control Group Design. The scores data of the mathematical concepts understanding were analyzed by using right tailed t-test. The results of hypothesis testing showed that the level of student’s understanding on mathematical concepts who were taught using Cooperative Learning Model combined with Team Quiz Method is better than the one who were taught using conventional learning. So, it can be concluded that the Cooperative Learning Model with Team Quiz Method had a positive influence on student’s mathematical concepts understanding.keyword : Cooperative Learning Model, Team Quiz Method, student’s mathematical concepts understanding

PENGARUH MODEL SELF REGULATED LEARNING TERHADAP KEMAMPUAN KOMUNIKASI MATEMATIS SISWA KELAS X SMA I Komang Widanto .; Dr.I Wayan Sadra,M.Ed .; Prof. Dr.I Nengah Suparta,M.Si .
Jurnal Pendidikan Matematika Undiksha Vol. 2 No. 1 (2014)
Publisher : Undiksha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jjpm.v2i1.4003

Penelitian ini bertujuan untuk mengetahui perbedaan kemampuan komunikasi matematis antara siswa yang dibelajarkan dengan model self regulated learning dan siswa yang dibelajarkan dengan model pembelajaran ekspositori. Jenis penelitian ini adalah eksperimen semu dengan desain penelitian posttest-only nonequivalent control group design. Populasi pada penelitian ini adalah seluruh siswa kelas X SMA Negeri 2 Singaraja tahun ajaran 2013/2014. Pengambilan sampel dilakukan dengan teknik random sampling. Data skor kemampuan komunikasi matematis siswa diperoleh melalui tes yang berbentuk uraian, dan dianalisis menggunakan uji-t dengan taraf signifikansi 5%. Hasil pengujian hipotesis menunjukkan bahwa kemampuan komunikasi matematis siswa yang dibelajarkan dengan model self regulated learning lebih tinggi daripada kemampuan komunikasi matematis siswa yang dibelajarkan dengan model pembelajaran ekspositori. Dengan demikian, dapat disimpulkan model self regulated learning memberikan pengaruh positif terhadap kemampuan komunikasi matematis siswa.Kata Kunci : model self regulated learning, model pembelajaran ekspositori, kemampuan komunikasi matematis This research aimed at describing the difference of mathematical communication ability between the students who taught with self regulatid learning model and the students who taught with expository learning model. This research was quasy experimental research by using posttest-only nonequivalent control group design. The population of this research was all of 10th grade students of SMA Negeri 2 Singaraja in the academic year 2013/2014. The sample was taken by using random sampling technique. The data of students' mathematical communication ability scores were obtained using essay test. These data were analyzed by using t-test with significant level was 5%. The results showed that mathematical communication ability of students who taught with self regulated learning model was higher than the one of students who taught with expository learning model. Thus, it may be concluded that self regulated learning model has a positive influence of the students’ mathematical communication ability.keyword : self regulated learning model, expository learning model, mathematical communication ability

THE EFFECT OF MISSOURI MATHEMATICS PROJECT (MMP) LEARNING MODEL TOWARD STUDENT'S MATHEMATICAL CONNECTION ABILITY Ni Wayan Sanjiwani Utami .; Prof. Dr.I Nengah Suparta,M.Si .; Drs. I Gusti Ngurah Pujawan,M.Kes .
Jurnal Pendidikan Matematika Undiksha Vol. 2 No. 1 (2014)
Publisher : Undiksha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jjpm.v2i1.4011

Penelitian ini bertujuan untuk mengetahui pengaruh dari model pembelajaran Missouri Mathematics Project (MMP) terhadap kemampuan koneksi matematis siswa. Kemampuan koneksi matematis siswa yang mendapatkan pembelajaran dengan model pembelajaran MMP dibandingkan dengan kemampuan koneksi matematis siswa yang mendapatkan pembelajaran konvensional. Penelitian ini menggunakan rancangan Post-Test Only Control Group Design, dimana jenis penelitian ini adalah penelitian semu (quasi experiment) dengan variabel-variabel lain dianggap memiliki pengaruh yang sama pada penelitian ini. Populasi pada penelitian ini adalah keseluruhan siswa kelas X MS SMAN 1 Ubud Tahun Ajaran 2013/2014 yang berjumlah 214 orang siswa yang tersebar ke dalam lima kelas yang setara secara akademik. Dari lima kelas yang ada diambil dua kelas yang akan digunakan sebagai sampel penelitian dengan menggunakan teknik random sampling, dimana salah satu kelas tersebut akan menjadi kelompok eksperimen dan satu kelas menjadi kelompok kontrol. Setelah diberikan post-test, data hasil kemampuan koneksi matematis siswa di uji menggunakan t-test. Dari hasil perhitungan diperoleh thitung = 4,131 dan nilai ttabel = 1,984. Apabila dibandingkan, nilai thitung lebih dari nilai ttabel. Hasil penelitian ini menunjukkan bahwa kemampuan koneksi matematis siswa yang mendapatkan pembelajaran dengan model pembelajaran MMP lebih baik daripada kemampuan koneksi matematis siswa yang mendapatkan pembelajaran dengan model konvensional.Kata Kunci : Model Pembelajaran MMP, Model Konvensional, Kemampuan Koneksi Matematis. This study aimed to find out the effect of Missouri Mathematics Project (MMP) learning model toward Mathematical connection ability of students. The students’ Mathematical connection ability who were taught by using MMP learning model was compared with the students’ Mathematical connection ability who were taught by using conventional learning model. In order to reach the purpose of study, the Posttest-Only Control Group Design was implemented. The design of this study was quasi experiment where others variables were assumed have the same effect in this study. The population was the tenth grade mathematics and science students of SMAN 1 Ubud in the academic year 2013/2014, which entirely consist of 214 students and distributed into five equivalent classes. From these five classes only two classes would be selected to be samples of this study by using random sampling technique, in which one class became an experimental group and the other class became a control group. The instruments used in collecting the data of mathematical connection ability were post-test and these were analysed by using one tail t-test. According to the result of data analysed show that tobserved = 4,131 and ttable = 1,984. It concluded that, tobserved is greater than ttable. It means that the mathematical connection ability of students who were taught by using MMP learning model is better than those who were taught by using conventional model.keyword : Missouri Mathematics Project (MMP) Learning Model, Conventional Model, Mathematical Connection Ability.

KONSTRUKSI BARISAN HITUNG SERAGAM SEIMBANG BERBASIS BARISAN TRANSISI KODE GRAY Ni Luh Dewi Sintiari .; Prof. Dr.I Nengah Suparta,M.Si .; Drs.Djoko Waluyo,M.Sc .
Jurnal Pendidikan Matematika Undiksha Vol. 2 No. 1 (2014)
Publisher : Undiksha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jjpm.v2i1.4034

Penelitian ini bertujuan untuk menemukan konstruksi barisan hitung seragam seimbang φ(n,t) untuk beberapa pasangan terurut (n,t) dimana n > t, t ganjil, dan faktor persekutuan terbesar dari n dan t, yang dilambangkan dengan FPB(n,t) lebih dari 1. Barisan hitung seragam φ(n,t) adalah barisan hitung n-bit dimana banyaknya perubahan bit diantara setiap dua katakode berurutan adalah t. Barisan hitung seragam dibutuhkan dalam menguji sirkuit-sirkuit listrik dan sistem informasi. Metode yang digunakan dalam penelitian ini adalah metode kepustakaan, dengan mencermati dan menelaah pengetahuan dalam berbagai sumber pustaka yang menunjang penelitian ini. Selain itu juga digunakan kerja laboratorium dengan menggunakan perangkat lunak Excel. Untuk mencari konstruksi barisan hitung seragam, langkah pertama adalah menentukan matriks sirkulan biner nonsingular. Langkah kedua adalah mentransformasi barisan transisi kode Gray n-bit menjadi barisan transisi dari barisan hitung seragam φ(n,t) dengan menggunakan matriks sirkulan biner nonsingular. Langkah ketiga adalah menganalisis distribusi barisan transisi dari φ(n,t) apakah dapat menghasilkan barisan hitung seragam seimbang. Hasil penelitian ini adalah beberapa konstruksi barisan hitung seragam dengan karakteristik yang tertentu yang unik. Barisan yang ditemukan antara lain barisan hitung φ(n,t) dengan FPB(y,t)=1, dan y=n/FPB(n,t) , barisan hitung φ(2^m t,t), dengan m∈N, dan barisan hitung φ(2t,t), yang dikonstruksi berdasarkan matriks sirkulan biner nonsingular yang berbeda. Beberapa konstruksi tersebut merupakan barisan hitung seragam seimbang. Kata Kunci : kode Gray, matriks sirkulan biner, barisan hitung seragam, barisan hitung seragam seimbang This research aimed to find some constructions of balanced uniform counting sequence φ(n,t) for some ordered pairs (n,t) where n > t, for odd number t, and the greatest common divisor of n and t, which is denoted by gcd(n,t) is greater than 1. A uniform counting sequence φ(n,t) is an n-bit counting sequence where the number of bit changes between any two successive codewords in the sequence is equal to t. Uniform counting sequence is used in testing the electricity circuits and the information system. The method used in this research was literature review by observing and analyzing the content of various literatures which support the current research. It also used laboratory work by using software Excel. In order to construct a uniform counting sequence, the first step is determining the binary nonsingular circulant matrices. The second step is transforming the transition sequence of n-bit Gray code into transition sequence of uniform counting sequence φ(n,t) by using the binary nonsingular circulant matrix. The third step is analyzing the transition count distribution of φ(n,t) whether it possible to build balanced uniform counting sequence. The results of the research were constructions of uniform counting sequences that have certain properties. The uniform counting sequence founded were uniform counting sequence φ(n,t) where gcd(y,t)=1, and y=n/FPB(n,t) , uniform ccounting sequence φ(2^m t,t), where m∈N, and uniform counting sequence φ(2t,t), which were constructed based on different nonsingular binary circulant matrices. Some of these constructions are balanced uniform counting sequences.keyword : Gray code, binary circulant matrices, uniform counting sequence, balanced uniform counting sequence

PENGARUH MODEL PEMBELAJARAN QUANTUM TIPE VAK (VISUAL, AUDITORI, KINESTETIK) BERBANTUAN GEOGEBRA TERHADAP KEMAMPUAN BERPIKIR KRITIS MATEMATIKA SISWA KELAS XI SMA NEGERI 1 GIANYAR Anak Agung Lilyk Cahyani .; Prof. Dr.I Nengah Suparta,M.Si .; Dra.Ni Made Sri Mertasari, M.Pd .
Jurnal Pendidikan Matematika Undiksha Vol. 3 No. 1 (2015)
Publisher : Undiksha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jjpm.v3i1.5772

Penelitian ini bertujuan untuk mengetahui ada tidaknya pengaruh penerapan model pembelajaran Quantum tipe VAK (Visual, Auditori, Kinestetik) berbantuan GeoGebra terhadap kemampuan berpikir kritis siswa. Penelitian ini menggunakan rancangan post-test only control group design, dengan jenis penelitian eksperimen semu (quasi experiment). Populasi dalam penelitian ini adalah keseluruhan siswa kelas XI MIA SMA Negeri 1 Gianyar Tahun Ajaran 2014/2015 yang berjumlah 320 orang siswa yang tersebar ke dalam delapan kelas yang setara secara akademik. Dari delapan kelas diambil dua kelas sebagai sampel penelitian dengan menggunakan teknik cluster random sampling, dimana salah satu kelas tersebut menjadi kelompok eksperimen dan satu kelas menjadi kelompok kontrol. Data hasil kemampuan berpikir kritis matematika siswa di analisis menggunakan Uji-t satu ekor. Dari hasil perhitungan diperoleh thitung = 5,434 lebih dari nilai ttabel = 1,664. Hasil penelitian ini menunjukkan bahwa kemampuan berpikir kritis matematika siswa yang dibelajarkan dengan model pembelajaran Quantum tipe VAK berbantuan GeoGebra lebih baik daripada kemampuan berpikir kritis matematika siswa yang dibelajarkan dengan pembelajaran konvensional. Dengan demikian dapat disimpulkan bahwa model pembelajaran Quantum tipe VAK berbantuan GeoGebra berpengaruh positif terhadap kemampuan berpikir kritis matematika siswa.Kata Kunci : Model Pembelajaran Quantum tipe VAK, Model Konvensional, Kemampuan Berpikir Kritis Matematika The reasearch aimed at investigating whether the implementation of Quantum Learning Model of type VAK (Visual Auditory Kinesthetic) facilitated with GeoGebra gave a significant effect to the students’ critical thinking ability in mathematics. This was a quasi-experimental reasearch which applied post-test only control group design. The population was 8 classes (320 students) of XI grade students of science classes at SMA Negeri 1 Gianyar in the academic year 2014/2015. Out of all classes which were distributed homogenously, two classes were selected to be experimental group and control group through a cluster random sampling technic. The reasearch data were analyzed by using one tailed t-test. The results showed that tobserved = 5.434 is greater than ttable =1.664. Based on this result it might be concluded that the implementation of Quantum Learning Model of type VAK (Visual Auditory Kinesthetic) facilitated with GeoGebra contributed a positive effect towards students’ critical thinking ability in mathematics. Yet, in line with the result, the reasearch found a difference in students’ ciritical thinking ability in both groups.keyword : Quantum Learning Model of type VAK, conventional teaching, mathematical critical thinking ability

PENGARUH MODEL PROBLEM BASED LEARNING DENGAN MIND MAPPING TERHADAP HASIL BELAJAR SISWA KELAS VIII DI SMP NEGERI 3 SINGARAJA Ni Luh Suciari .; Dr.I Wayan Sadra,M.Ed .; Prof. Dr.I Nengah Suparta,M.Si .
Jurnal Pendidikan Matematika Undiksha Vol. 3 No. 1 (2015)
Publisher : Undiksha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jjpm.v3i1.5992

Penelitian ini bertujuan untuk mengetahui pengaruh model Problem Based Learning dengan Mind Mapping terhadap hasil belajar siswa. Hasil belajar yang dimaksudkan adalah kemampuan pemahaman konsep matematika dan aktivitas belajar siswa. Desain penelitian ini adalah Post-Test Only Control Group Design. Populasi dari penelitian ini adalah seluruh siswa kelas VIII di SMP Negeri 3 Singaraja yang terdiri dari 305 siswa. Teknik pengambilan sampelnya adalah random sampling. Sampel dari penelitian ini adalah siswa kelas VIIID sebanyak 35 siswa sebagai kelas ekseprimen dan siswa kelas VIIIL sebanyak 32 orang sebagai kelas kontrol. Data kemampuan pemahaman konsep matematika siswa dikumpulkan melalui tes kemampuan pemahaman konsep matematika siswa. Data hasil tes kemampuan pemahaman konsep matematika dianalisis dengan menggunakan uji-t satu ekor. Hasil pengujian hipotesis menunjukkan bahwa nilaithitung=3,514 lebih dari nilai ttabel=1,997. Sehingga kemampuan pemahaman konsep matematika siswa yang dibelajarkan menggunakan model Problem Based Learning dengan Mind Mapping lebih baik dari kemampuan pemahaman konsep matematika siswa yang dibelajarkan menggunakan model Problem Based Learning. Sedangkan data aktivitas belajar siswa diperoleh dari skor yang diberikan oleh observer selama proses pembelajaran. Sehingga secara kuantitatif, skor aktivitas belajar siswa dikelas eksperimen=73,44lebih dari skor aktivitas belajar siswa di kelas kontrol=71,33. Namun secara kualitatif memiliki kualitas yang sama yaitu termasuk dalam kategori tinggi. Kata Kunci : aktivitas belajar, hasil belajar, kemampuan pemahaman konsep, mind mapping, dan problem based learning The objective of this research is to investigate the effect of Problem Based Learning model with Mind Mapping towards students’ learning outcomes. Learning outcomes in this research were students’ understanding of mathematical concept and students’ learning activities. This research design was Post-Test Only Control Group Design. Population of this research was all eighth grade students in SMP Negeri 3 Singaraja which consists of 305 students. This research used random sampling technique. Sample of this research was all students in class VIIID as experiment class which consist of 35 students and all students in class VIIIL as control class which consist of 32 students. Data of students’ understanding of mathematical concepts were collected through tests. These data were analyzed using one-tailed t-test. Hypothesis testing’s showed that the value of t-test= 3.514 which is greater than the value of t table = 1.997. Therefore the students’ understanding of mathematical concepts that learned through Problem Based Learning model with Mind Mapping was better than the students’ understanding of mathematical concepts that learned through Problem Based Learning model. Data of students' learning activity were obtained from the scores that given by the observer during the learning process. Score of learning activity in experiment class=73.44 quantitatively were better than score of learning activity in control class=71.33. But qualitatively both have the same quality that is classified in the high categorykeyword : learning activity, learning outcomes, mind mapping,problem based learning, and understanding of mathematical

PENERAPAN TEKNIK HANDS ON MINDS ON DENGAN MIND MAPPING UNTUK MENINGKATKAN AKTIVITAS BELAJAR DAN PRESTASI BELAJAR MATEMATIKA SISWA KELAS VIII B5 SMP N 4 SINGARAJA Gede Purwandika .; Prof. Dr.I Nengah Suparta,M.Si .; Dr.I Wayan Sadra,M.Ed .
Jurnal Pendidikan Matematika Undiksha Vol. 4 No. 1 (2016)
Publisher : Undiksha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jjpm.v4i1.7550

Tujuan penelitian ini adalah (1) mendeskripsikan peningkatan prestasi belajar matematika siswa, (2) mendeskripsikan peningkatan aktivitas belajar siswa melalui penerapan teknik hands on minds on di kelas VIII B5 SMP Negeri 4 Singaraja. Penelitian ini menggunakan rancangan penelitian tindakan kelas (PTK), yang dilaksanakan dalam tiga siklus. Subjek penelitian ini adalah siswa kelas VIII B5 SMP Negeri 4 Singaraja dengan jumlah siswa 35 orang pada semester genap Tahun Pelajaran 2015/2016. Data dikumpulkan dengan metode observasi, tes dan kuisioner. Data yang diperoleh dianalisis secara deskriptif. Hasil penelitian ini menunjukkan bahwa prestasi belajar matematika siswa dan aktivitas belajar siswa meningkat. Banyak siswa yang memenuhi KKM dari siklus I, Siklus II dan Siklus III berturut-turut adalah 5,7%, 40% dan 80%. Aktivitas belajar siswa pada siklus I berada pada kategori cukup aktif kemudian pada siklus II aktivitas belajar siswa masih dalam kategori cukup aktif dan pada siklus III aktivitas belajar siswa berada pada kategori aktif. Peningkatan ini dapat terjadi karena pembelajaran yang diterapkan dengan alat peraga menjadikan matematika menjadi lebih bermakna bagi siswa, dan adanya pemberian tugas untuk membuat mind mapping membuat siswa belajar merangkum sehingga siswa lebih paham tentang inti pembelajaran.Kata Kunci : teknik hands on minds on dengan mind mapping, aktivitas belajar siswa, prestasi belajar matematika siswa This study aims (1) to describe the increase of student mathematics achievement, (2) to increase students' learning activity through the application of hands on minds on technique in grade VIII B5 SMP Negeri 4 Singaraja. This study used classroom action research (PTK) design, which was carried out in three cycles. The subjects were students of grade VIII B5 SMP Negeri 4 Singaraja in the second semester of the Academic Year 2015/2016. Methods for collecting reseach data were observation, test, and questionnaire methods. Data were analyzed using descriptive analysis technique. The results of this study showed that students' mathematics achievement and students’ learning activity increased. Many students who meet mastery of learning the first cycle, Cycle II and Cycle III respectively was 5.7%, 40% and 80%.The average score of students’ learning activity in the first cycle was 44.62 and then in the second cycle, the average students’ activity increased to 49.56 and in the third cycle average students’ activity increased to 61.80. The increases were reached after the students passed through the different learning stages from the application of hands on minds on technique with a few improvement of learning action. keyword : Technique Hands On Minds On with Mind Mapping, Learning Activity, Student Mathematics Achievemen

PENGARUH PENERAPAN MODEL PROCESS ORIENTEDGUIDED INQUIRY LEARNING (POGIL) DALAM PEMBELAJARAN MATEMATIKA TERHADAP KEMAMPUAN BERPIKIR KRITIS SISWA KELAS XI IPA SMA NEGERI 8 DENPASAR Ni Made Erlinta Devi .; Prof. Dr.I Nengah Suparta,M.Si .; Drs. Sariyasa,M.Sc., Ph.D .
Jurnal Pendidikan Matematika Undiksha Vol. 5 No. 2 (2016)
Publisher : Undiksha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jjpm.v5i2.8394

Tujuan penelitian ini adalah untuk mengetahui apakah kemampuan berpikir kritis siswa kelas XI IPA SMA Negeri 8 Denpasar yang dibelajarkan dengan model process oriented guided inquiry learning (POGIL) lebih baik daripada kemampuan berpikir kritis siswa yang dibelajarkan dengan model kovensional. Jenis penelitian ini adalah penelitian semu dengan desain Post-test Only Group Control Design. Populasi dari penelitan ini adalah siswa kelas XI IPA SMA Negeri 8 Denpasar tahun ajaran 2015/2016 sebanyak 6 kelas. Dari 6 kelas diuji kesetaraannya dengan menggunakan nilai ulangan tengah semester matematika dengan menggunakan uji- F satu jalur. Sampel dalam penelitian ini adalah siswa kelas XI IPA1 dan XI IPA 4 yang diambil menggunakan teknik cluster random sampling. Data dikumpulkan melalui tes kemampuan berpikir kritis yang diberikan kepada siswa dalam bentuk tes uraian dan diberikan di akhir penelitian. Data yang diperoleh kemudian dianalisis menggunakan uji-t satu ekor dengan taraf signifikansi 5%. Hasil post-test menunjukkan bahwa rata-rata nilai kemampuan berpikir kritis siswa yang dibelajarkan dengan model process oriented guided inquiry learning (POGIL) adalah 75,51, sedangkan rata-rata nilai kemampuan berpikir kritis siswa yang dibelajarkan dengan model konvensional adalah 60,92. Dari hasil analisis data, diperoleh t_hitung=4,94 dan t_tabel=1,6639. Jadi nilai t_hitung>t_tabel, sehingga H_0 ditolak. Itu berarti dapat disimpulkan bahwa kemampuan berpikir kritis siswa yang dibelajarkan dengan model process oriented guided inquiry learning (POGIL) lebih baik daripada kemampuan berpikir kritis siswa yang dibelajarkan dengan model konvensional.Kata Kunci : model process oriented guided inquiry learning, pembelajaran konvensional, berpikir kritis This study aimed at investigating whether the critical thinking ability of students who were taught by process oriented guided inquiry learning (POGIL) model is better than critical thinking ability of students who were taught by conventional model. This study was quasi experimental reseacrh with Post-test Only Group Control Design. The population of this study was students of XI Science Class of SMA Negeri 8 Denpasar in academic year 2015/2016 that divided into 6 classes. The equality of 6 classes is tested by testing the mathematic middle test result by using one way F Test. Cluster random sampling was used as the sampling technique in this study, in which XI IPA 1 and XI IPA 4 classes were selected randomly as the samples of the study. Essay test was used to gather the students’ critical thinking ability as the data of this research. One tail independent t-test with 5% significance level was used to analyze the data. The result of post-test showed that the mean value of students’ critical thinking ability that were taught by process oriented guided inquiry learning (POGIL) model is 75,51, while the mean value of students’ critical thinking ability that were taught by conventional model is 60,92. From the data analyzed, if was obtained that t_score=4,94and t_table=1,6639. Then, t_score>t_table so that H_0 was rejected. Therefore, we can conclude that crtical thinking ability of students who were taught by process oriented guided inquiry learning (POGIL) model is better than critical thinking ability of students who were taught by conventional model. keyword : process oriented guided inquiry learning, convensional method,critical thinking

Co-Authors ., DR. I WAYAN SADRA, M.Ed. ., Gede Purwandika ., I Komang Widanto ., I Made Yoga Emma Prasetya ., I Pt Ade Andre ., I PUTU ADE ANDRE PAYADNYA ., I PUTU EDITIA MIUSENA ., I Wayan Kumarayasa ., IDA AYU IKA TRISNA DEWI ., IDA AYU NGURAH SULASMINIYATI ., KADEK YUDISTA WITRAGUNA ., MADE WIDYA SURYAPRANI ., NI KOMANG WIRASTI ., NI LUH TIA RAHMAWATI ., Ni Made Erlinta Devi ., Ni Made Irma Dwi Purnamayanti ., NI PUTU MEINA AYUNINGSIH ., NI WAYAN SANJIWANI UTAMI ., NI WAYAN SRI WIDHYANTARI ., NI WAYAN YUNIK WIDIA ASTUTI ., PANDE GEDE SUBIKSA BRAHMA RANDRA ., PUTU YULI SUWASTINI A. M. Sari Ade Dwi Utami Adi Saputra, Putu Resya Agustiari, Pande Kadek Rai Agustini, Kadek Trisna Anak Agung Lilyk Cahyani . Anak Agung Lilyk Cahyani ., Anak Agung Lilyk Cahyani Anak Agung Ngurah Gde Sapteka Annadhifi, Muhammad Ilham Nurfaizi Apriyanti, Muda Bgeholz, Susanne Budayana, I Made Cahyani, Ni Putu Candra D. Dafik Dewa Ayu Oka Setiawati Dewi, Putu Kartika Dr. I Made Sugiarta, M.Si. . Dr.I Wayan Sadra,M.Ed . Drs.Djoko Waluyo,M.Sc . Findayani, Ni Kadek Gde Suweken Gede Purwandika . Gede Suweken Ghoffari, Lalu Hasan I Dewa M. Agus Ariawan I Dewa Made Agus Ariawan I Gede Adhitya Wisnu Wardhana I Gst Nyoman Yudi Hartawan I Gst Putu Sudiarta I GUSTI AGUNG EKA SURYANTARI . I Gusti Ngurah Pujawan I Gusti Nyoman Yudi Hartawan I GUSTI PUTU ARI SUGIANTARA . I Gusti Putu Suharta I Gusti Putu Suharta I KETUT GEDE BIRAWA ANURAGA . I Komang Sukendra I Komang Widanto . I Made Ardana I Made Chandra Adi Purnama I Made Satria Wiguna I Made Suarsana I Made Suarsana I Made Sumerta Yasa I Made Yoga Emma Prasetya . I MADE YOGA WICAKSANA . I Nyoman Gita I Nyoman Sukajaya I Pt Ade Andre . I Putu Ade Andre Payadnya I PUTU EKA IRAWAN I Putu Eka Irawan I WAYAN EKA ARYASUTA . I Wayan Kumarayasa . I Wayan Muderawan I Wayan Puja Astawa I Wayan Sadra Ida Ayu Purnama Bestari K. DEADY IRMAWAN . Kadek Amerta Yasa Kadek Pasek Budarsini KANISIUS MANDUR . Komang Agus Widyatmika Komang Tri Purnamayanthi Lestari, Sahin Two LUH DE IRIN PRADNYAWATI . Luh Mitha Priyanka Luh Putu Sri Lestari Made Widya Suryaprani Matthiesen, Finn Muhammad Naoval Husni Muhammad Turmuzi N. K. Nuraini N. L. T Rahmawati Narita, Ni Luh Putu Dinna Surya Narottama, Anak Agung Ngurah Made Ni Kadek Findayani Ni Kadek Suryantini Ni Komang Wirasti Ni Luh Dewi Sintiari Ni Luh Putu Dinna Surya Narita Ni Luh Suciari . Ni Luh Suciari ., Ni Luh Suciari Ni Made Erlinta Devi . Ni Made Irma Dwi Purnamayanti . Ni Made Sri Mertasari Ni Made Suastini Ni Made Suastini, Ni Made Ni Made Suwarnisi Ni Nyoman Parwati Ni Nyoman Riantini W. Ni Putu Ari Wiratini Ni Putu Darmayanti Ni Putu Nova Andriani Ni Putu Santhi Widiasih NI PUTU WIWIN SURYANTARI . Ni Wayan Ekayanti Ni Wayan Mei Ekayanti Ni Wayan Sanjiwani Utami . Ni Wayan Sri Maeti Pande Kadek Rai Agustiari Partayasa, Wayan Payadnya, I Putu Ade Andre Periandani, Putu Novi Pratiwi, Kadek Ayu Mutiara Priyanka*, Luh Mitha Purnama, I Made Chandra Adi Purnamayanthi, Komang Tri Putra, Komang Hendri Nugraha Putu Adhitya Santika Dharma Putu Kartika Dewi Putu Nanci Riastini, Putu Nanci Putu Novi Periandani Putu Resya Adi Saputra Rahmawati, N. L. T Rani Darmayanti Riantini W., Ni Nyoman Riza Aldira Robiatul Adawiyah Sapteka, Anak Agung Ngurah Gde Sapteka Sariyasa . SEBASTIANUS FEDI . Setiawan, Kadek Aldi Setiawati, Dewa Ayu Oka Srinivasa, Putu Winy Sudiarta, I Gst. Putu Suryantini, Ni Kadek Suryaprani, Made Widya Suweken, Gde Ulya, Viki Himatul Waluyo, D. Wayan Partayasa Wayan Sadra Wicaksana, I Made Yoga Widiantari, Ni Kadek Kasi Widiasih, Ni Putu Santhi Wikasari, Ayu Wirasti, Ni Komang

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