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Penyebab kesulitan belajar geometri dimensi tiga Rita Novita; Rully Charitas Indra Prahmana; Nurul Fajri; Mulia Putra
Jurnal Riset Pendidikan Matematika Vol 5, No 1: May 2018
Publisher : Program Studi Pendidikan Matematika Program Pascasarjan Universitas Negeri Yogyakarta

Penelitian ini bertujuan untuk menyelidiki faktor-faktor yang menyebabkan kesulitan mahasiswa STKIP BBG dalam mempelajari geometri dimensi tiga. Penelitian ini menggunakan metode penelitian kualitatif studi kasus untuk mengkaji proses pembelajaran mahasiswa calon guru matematika di lingkungan STKIP BBG. Subjek dalam penelitian ini adalah 16 orang mahasiswa calon guru matematika STKIP BBG Semester II-IV Tahun Akademik 2016/2017 yang dipilih secara purposive sampling. Pengumpulan data dilakukan dengan menggunakan tehnik angket, tes, dan wawancara. Hasil penelitian menunjukkan bahwa kedua faktor internal dan ekternal memberi pengaruh terhadap kesulitan belajar yang dialami oleh mahasiswa pendidikan matematika STKIP BBG. Faktor internal sebagai penyebab kesulitan adalah faktor minat, bakat dan intelegensi mahasiswa yang memiliki persentase lebih dari 50% tergolong rendah dan sangat rendah. Adapun faktor ekternal, diantaranya adalah aspek penggunaan metode mengajar oleh dosen dimana, penyampaian materi oleh dosen tanpa menyesuaikan kemampuan mahasiswa memiliki peran yang tinggi (68.75%) dalam memunculkan kesulitan terhadap penguasaan konsep-konsep geometri dimensi tiga. Selain itu, pengalaman belajar geometri pada jenjang sekolah sebelumnya juga menjadi faktor lain yang mengakibatkan kesulitan belajar geometri dalam penelitian ini. The cause of difficulty in learning the three-dimensional geometry AbstractThis study aims to investigate the factors that cause STKIP BBG’s prospective teachers difficulties in learning three-dimensional geometry. This research uses a case study qualitative research method to assess student learning process of prospective mathematics teachers in mathematics department at STKIP BBG. Subjects in this study were 16 prospective mathematics teachers in semester II - IV academic year 2016/2017 at STKIP BBG. The subjects were selected by purposive sampling. Data collection was done by using questionnaire technique, tests and interviews. The results showed that both internal and external factors had given effects toward learning difficulties experienced by mathematics education students at STKIP BBG. The internal factors are which suspected as the difficulty’s cause are the interest factor; talent and intelligence where 50% of prospective mathematics teachers are in low and very low level. Meanwhile, the external factors, such as the use of teaching methods by lecturers where, the delivery of materials by lecturers without adjusting the ability of students have a high role (68.75%) in raising difficulties on the mastery of three-dimensional geometry concepts. In addition, the experience of learning geometry at the previous school level is also another factor that leads to difficulties in learning geometry in this study.

Etnomatematika pada sumur purbakala Desa Kaliwadas Cirebon dan kaitannya dengan pembelajaran matematika di sekolah Muchamad Subali Noto; Siska Firmasari; Mohammad Fatchurrohman
Jurnal Riset Pendidikan Matematika Vol 5, No 2: November 2018
Publisher : Program Studi Pendidikan Matematika Program Pascasarjan Universitas Negeri Yogyakarta

Tujuan penelitian ini adalah untuk mengetahui kontribusi aspek-aspek matematika pada sumur purbakala, sejarahnya, proses berpikir matematis dalam pembuatan sumur, dan proses pembelajaran matematika di sekolah. Hasil penelitian ini disajikan dalam bentuk kualitatif untuk mendeskripsikan tentang sejarah sumur purbakala. Bentuk bangunan sumur menggambarkan sebuah bangun datar seperti segitiga, segilima, persegi panjang, jajar genjang, trapesium, lingkaran, dan bangun ruang seperti balok dan tabung, yang merupakan aspek-aspek matematika pada materi geometri. Proses pembuatan sumur yang berbentuk lingkaran dapat dilakukan dengan segi-n yang didekati oleh limit n menuju tak hingga yang dilihat dari banyaknya batu bata pada susunan pertama dan banyaknya susunan pada pembuatan sumur. Hasil penelitian ini juga berkaitan dengan proses pembelajaran matematika di sekolah, seperti materi segitiga dan segiempat di SMP serta aturan sinus dan cosinus di SMA. Diharapkan hasil penelitian ini dapat dijadikan bahan ajar pada jenjang sekolah menengah ataupun referensi untuk penelitian lain di bidang budaya dan matematika. Ethnomathematics at the sumur purbakala Kaliwadas Village of Cirebon and relationship with mathematics learning in school AbstractThe purpose of this research is to know the mathematical aspects of sumur purbakala, its history, the process of mathematical thinking in the making of well, and the process of learning mathematics in school. The results of this research are presented in qualitative form to describe the history of the sumur purbakala. The shape of the building is constructed like a triangle, a pentagon, a rectangle, a parallelogram, a trapezoid, a circle, and a space-building like beams and tubes, which are the mathematical aspects of the material geometry. The process of making a well in the form of a circle can be done with the n-segments approximated by the boundary n to the not until seen from the number of bricks in the first order and the number of arrangements on the well-making. The results of this study are also related to the process of learning mathematics in schools, such as triangle and quadrilateral materials in junior high and the rules of sinus and cosine in high school. It is expected that the results of this study can be used as teaching materials at the level of the school and references to other research in the field of culture and mathematics.

Penerapan teknik faded examples untuk meningkatkan kemampuan pemecahan masalah materi pengayaan trigonometri SMA Hanifa Prahastami Pambayun; Endah Retnowati
Jurnal Riset Pendidikan Matematika Vol 5, No 1: May 2018
Publisher : Program Studi Pendidikan Matematika Program Pascasarjan Universitas Negeri Yogyakarta

Penelitian ini bertujuan untuk menghasilkan dan mendeskripsikan pengembangan bahan ajar pengayaan trigonometri SMA menggunakan teknik faded examples yang berkualitas untuk meningkatkan kemampuan pemecahan masalah siswa. Kualitas bahan ajar yang dikembangkan mencakup aspek kevalidan, keefektifan, dan kepraktisan. Penelitian ini merupakan penelitian pengembangan dengan model Plomp yang mencakup tiga tahapan. (1) penelitian awal mencakup analisis kebutuhan dan analisis konteks, (2) pengembangan yang mencakup desain produk dan pembuatan produk, dan (3) evaluasi yang meliputi proses validasi dan proses implementasi. Proses pengembangan melibatkan dua ahli, satu orang guru dan 50 siswa (siswa kelas X pengayaan 1 dan X pengayaan 2) SMA IPA di Mataram. Hasil dari penelitian ini adalah bahan ajar pengayaan berupa buku guru dan buku siswa yang dikembangkan dengan menerapkan teknik faded examples. Pada buku pengayaan terdapat paket faded examples dengan jenis backward dan forward fading dimana pada akhir paket, siswa diminta untuk membuat sendiri soal sesuai dengan materi yang sedang dipelajari. Teknik ini dikembangkan oleh teori desain pembelajaran bernama Cognitive Load Theory (CLT). Hasil penelitian menunjukkan bahwa bahan ajar ini layak digunakan karena dinilai sangat baik secara isi dan penyajian oleh dosen validator, praktis oleh guru matematika dan praktis digunakan oleh siswa. Hasil ketuntasan belajar adalah sebanyak 100% siswa mencapai nilai minimal kemampuan pemecahan masalah. The application of faded examples techniques to improve student’s problem solving ability on trigonometry at high school level AbstractThis study was aimed to produce and describe the quality of the developed Trigonometric Senior High School Science Program Enrichment’s Instructional Materials using Faded-Examples Techniques to Improve Problem Solving Ability. The quality of the developed teaching materials include all aspects of validity, effectiveness, and practicality. This was a developmental research used three phases Plomp’s model which consists of: (1) preliminary studies which involved the needs and context analysis, (2) product design development, and (3) the evaluation process of product validation and implementation. The development process involves two experts as validator, one teacher, and 50 students (X pengayaan 1 and X pengayaan 2). The study results the trigonometric enrichment’s teaching materials which consists of the teacher’s textbook and the student’s textbook that was developed using the faded-examples technique. This technique based on The Cognitive Load Theory (CLT) instructional design. The results of the study showed that the quality of the developed trigonometric enrichment’s teaching materials is “very good” according to lecturer validation and “practical” according to the evaluation from the teachers and students. The results of the learning showed that 100% of the students passed the minimum grade criteria of problem solving skills.

Problem solving skill of students of senior high schools and Islamic high schools in Tegal Regency in solving the problem of PISA based on Polya’s stage Ayu Arfiana; Ariyadi Wijaya
Jurnal Riset Pendidikan Matematika Vol 5, No 2: November 2018
Publisher : Program Studi Pendidikan Matematika Program Pascasarjan Universitas Negeri Yogyakarta

This study aimed to describe the students’ problem solving skill of senior high school and islamic high school in Tegal Regency in solving the problem of PISA based on Polya’s stage. The type of this study was a survey research with quantitative approach. The population was the students of senior high schools and islamic high schools in Tegal Regency. A sample of 389 students of grade X from 12 schools was estabilished using the stratified random sampling technique and cluster random sampling. The data were collected by using a test utilizing 12 PISA test items (reliability was 0.668). The Description of the data were analyzed using mean score, standard deviation, maximum and minimum score, and the percentage of correct answer. The results showed that the problem solving skill of senior high school and islamic high school students in Tegal Regency in solving the problem of PISA based on Polya’s stage was categorized as low. The indicators of the devising plan and looking back showed that the skill was in a very low category. Viewed from the indicator of carrying out a plan, their skill was in a medium category.

Analisis kesulitan menyelesaikan soal model ujian nasional matematika dan self-efficacy siswa SMA Maria Rosadalima Wasida; Hartono Hartono
Jurnal Riset Pendidikan Matematika Vol 5, No 1: May 2018
Publisher : Program Studi Pendidikan Matematika Program Pascasarjan Universitas Negeri Yogyakarta

Tujuan penelitian ini adalah mendeskripsikan jenis, letak, faktor kesulitan menyelesaikan soal model Ujian Nasional matematika dan self-efficacy siswa SMA di Kabupaten Ngada. Penelitian ini termasuk penelitian survei dengan pendekatan kuantitatif dan kualitatif. Subjek penelitian sebanyak 95 siswa SMA di Kabupaten Ngada, berasal dari empat sekolah dengan kategori tinggi, sedang dan rendah. Pengumpulan data menggunakan tes diagnostik, angket, observasi, dan pedoman wawancara. Tes diagnostik terdiri atas 7 butir soal uraian yang merupakan soal dengan daya serap rendah berdasarkan hasil UN tahun pelajaran 2014/2015 untuk mendiagnosis jenis dan letak kesulitan. Analisis data dilakukan dengan menghitung persentase jenis dan letak kesulitan, serta tingkat self-efficacy siswa. Hasil penelitian menunjukkan bahwa jenis kesulitan dalam menyatakan fakta 79,5%; memahami konsep 88,7%; menerapkan prinsip 93,5%; dan menerapkan keterampilan 92,9%. Kesulitan terletak pada menentukan apa yang diketahui 77,3%; apa yang ditanya 44,4%; rumus 71,6%; sistematika penyelesaian 83%; hubungan antar konsep 92%; hubungan fakta dan konsep 89%; dan jawaban akhir 91,9% serta kesulitan dalam menyelesaikan operasi dasar matematika 88,9%. Faktor penyebab kesulitan antara lain ketidakmampuan dalam operasi aljabar, lupa, kurang teliti, terburu-buru, cepat menyerah, waktu yang kurang, kurangnya kesiapan dan keaktifan siswa, ketidakefektifan metode pembelajaran dan peranan guru. Sedangkan self-efficacy siswa berada pada kriteria sedang. An analysis of the difficulty in solving mathematic problem national examination model and self-efficacy of students of SHSs AbstractThis study aims to describe types, loci, and factors of the difficulty in solving mathematic problem national examination model and self-efficacy of students of senior high schools (SHSs) in Ngada Regency. This was a survey study using the quantitative and qualitative approaches. The research subjects were 95 students of SHSs in Ngada Regency from four schools with high, moderate, and low categories. The data were collected from diagnostic test, questionnaire, observation, and interview guideline. A diagnostic test consisting of 7 essay test items with low absorption indices according to the results of the NEs in the academic year of 2014/2015 to trace the types and the loci of difficulties. Data analysis was performed by calculating the percentage of the type and the loci of difficulties, and level of self-efficacy. The results showed that the type of difficulty experienced by students in solving the problem of the National Exam model of mathematics in expressing facts (79.5%), understanding concepts (88.7%), applying principle of (93.5%), and applying skills (92.9%). The loci of difficulties on determining the known (77.3%), determining the asked (44.4%), determining formulas (71.6%), determining solution systems (83%), determining the relationships among concepts (92%), determining the relationships between facts and concepts (89%), determining final answers (91.9%), and the difficulty in solving basic mathematical operations 88,9%. The factors underlying the difficulties are the inability in algebra operations, forgotten, less conscientious, are in a hurry, give up easily, the time is not enough, lack of the readiness and the involvement of student, the ineffective of teaching methods and the teacher role. The self-efficacy of 95 students is at moderate criteria.

Mathematical critical thinking and resiliency: Experiment of grade-7 students using scientific approah Euis Eti Rohaeti; Dadang Koswara
Jurnal Riset Pendidikan Matematika Vol 5, No 2: November 2018
Publisher : Program Studi Pendidikan Matematika Program Pascasarjan Universitas Negeri Yogyakarta

The purpose of this study was to describe the role of scientific approach on students’ mathematical critical thinking and resiliency. This study wass a pre test-post test experimental control group design and involves 66 seventh grade students as sample. Data collection was conducted by a mathematical critical thinking test, a mathematical resiliency questionnaire, and a perception on scientific approach questionnaire. Data analysis was conducted using descriptive and inferential analysis. The study found that on mathematical critical thinking ability, students getting treatment by scientific approach attained better than students taught by conventional teaching, but both groups were still at low level. On mathematical resiliency, there was no different between students on both teaching approaches, and those groups were at medium level. The other findings, there was no association between mathematical critical thinking ability and mathematical resiliency, and students performed high perception toward scientific approach.

The effectiveness comparison problem based learning model with NHT and TPS type on plane solid figure Diana Amirotuz Zuraida; Karyati Karyati
Jurnal Riset Pendidikan Matematika Vol 5, No 2: November 2018
Publisher : Program Studi Pendidikan Matematika Program Pascasarjan Universitas Negeri Yogyakarta

The study was aimed to describe the learning model of problem based learning (PBL) with cooperative setting Numbered Heads Together (NHT) and Think Pair Share (TPS) type in terms of mathematics learning achievement, reflective thinking skills, and self regulated learning of junior high school 8th grade students. The study was a quasi experimental research with pretest-posttest non-equivalent group design. The sample were taken at random from five classes, consisted of VIII-A and VIII-C. Data were analyzed by using multivariate statistical using Multivariate Analysis of Variance (MANOVA). The result of the study at 5% level significance indicated that PBL with cooperative setting TPS type was effective in terms of reflective thinking skill; there was no difference of the effectiveness between PBL with cooperative setting NHT type and PBL with cooperative setting TPS type in terms of achievement, reflective thinking skills, and self-regulated learning of junior high school 8th grade students.

Kesalahan siswa dalam menyelesaikan soal olimpiade SMP konten aljabar Yoga Baskara Setiawan; Hapizah Hapizah; Cecil Hiltrimartin
Jurnal Riset Pendidikan Matematika Vol 5, No 2: November 2018
Publisher : Program Studi Pendidikan Matematika Program Pascasarjan Universitas Negeri Yogyakarta

Penelitian ini merupakan penelitian deskriptif kualitatif yang bertujuan untuk mengetahui dan mendeskripsikan kesalahan siswa dalam menyelesaikan soal olimpiade SMP konten aljabar. Jenis penelitian yang digunakan adalah studi kasus. Subjek penelitian adalah perwakilan siswa kelas IX SMP Negeri 1 Palembang dengan jumlah siswa 22 orang. Teknik pengumpulan data pada penelitian adalah tes tertulis dan wawancara. Analisis data tes dan wawancara mengikuti prosedur Newman Error Analysis. Hasil penelitian menunjukkan bahwa kesalahan-kesalahan yang dilakukan siswa dalam menyelesaikan soal olimpiade SMP konten aljabar terdiri dari kesalahan dalam memahami soal, kesalahan dalam transformasi meliputi penggunaan rumus atau prosedur tidak relevan dan tidak mengetahui prosedur yang digunakan, dan kesalahan dalam proses perhitungan meliputi kesalahan menggeneralisasi pola ke bentuk umum dan tidak menyelesaikan prosedur penyelesaian. Students’ error in solving junior high school Olympiad problem on algebra content AbstractThis research is a qualitative descriptive research that aims to find out and to describe the students’ error in solving junior high school Olympiad on algebra content. Type of this research is case study. The subjects of the study were the students of class IX SMP Negeri 1 Palembang with 22 students. Data collection techniques in this research are written tests and interviews. Analysis of test and interview data follows Newman Error Analysis procedure. The results of the research show that the students’ error in solving junior high school problem on algebra content consist of errors in understanding the problem, error in transformation error includes the use of irrelevant formulas or procedures and do not know the procedures used, and errors in the calculation process include errors generalize patterns to the general form and did not complete the settlement procedure

Pengembangan perangkat pembelajaran geometri sekolah menengah pertama dengan pembelajaran berbasis masalah Muhammad Munir; Ali Mahmudi
Jurnal Riset Pendidikan Matematika Vol 5, No 2: November 2018
Publisher : Program Studi Pendidikan Matematika Program Pascasarjan Universitas Negeri Yogyakarta

Penelitian ini bertujuan bertujuan untuk menghasilkan produk berupa perangakat pembelajaran geometri SMP dengan pembelajaran berbasis masalah yang valid, praktis dan efektif dilihat dari prestasi belajar. Jenis penelitian ini merupakan penelitian pengembangan model Borg Gall yang mencangkup tiga tahapan utama yaitu: (1) tahap studi pendahuluan, (2) tahap desain produk, dan (3) tahap studi pelaksanaan. Hasil penelitian ini adalah perangkat pembelajaran geometri SMP dengan pembelajaran berbasis masalah yang terdiri atas silabus, RPP, LKS dan Tes Hasil Belajar (THB). Kualitas perangkat pembelajaran yang dikembangkan terdiri dari tiga aspek, yaitu aspek kevalidan, kepraktisan, dan keefektifan. (1) Hasil penilaian aspek kevalidan silabus, RPP, LKS, dan THB dengan revisi dan layak digunakan. (2) Aspek kepraktisan berdasarkan hasil penilaian guru pada RPP dan LKS adalah 54,33 (Baik) dan 101,33 (Sangat Baik), sedangkan penilaian siswa dan penilaian keterlaksanaan pembelajaran adalah 90,05 (Baik) dan 92,06 (Sangat Baik). (3) Aspek keefektifan berdasarkan THB, dengan rata-rata skor adalah 82% (siswa tuntas/lulus). Berdasarkan data tersebut, perangkat pembelajaran sudah memenuhi kualitas kevalidan keefektifan, dan kepraktisan. Oleh karena itu, perangkat pembelajaran geometri SMP dengan pembelajaran berbasis masalah dapat digunakan sebagai salah satu media pembelajaran matematika.

Keefektifan PBL seting kolaboratif ditinjau dari prestasi belajar aljabar, kemampuan berpikir kritis, dan kecemasan siswa Tety Dwi Setyaningsih; Agus Maman Abadi
Jurnal Riset Pendidikan Matematika Vol 5, No 2: November 2018
Publisher : Program Studi Pendidikan Matematika Program Pascasarjan Universitas Negeri Yogyakarta

Penelitian ini bertujuan untuk mendeskripsikan mana yang lebih efektif antara PBL setting kolaboratif kelompok dan berpasangan ditinjau dari prestasi belajar aljabar, kemampuan berpikir kritis, dan kecemasan siswa. Penelitian ini adalah penelitian quasi eksperimen dengan desain pretest-postest nonequivalent comparison-group design. Populasi dalam penelitian ini adalah seluruh siswa kelas VII SMP Negeri 3 Kalasan yang terdiri dari empat kelas. Kelas VII C dan VII D ditentukan sebagai sampel secara acak. Dari kedua kelas tersebut diberi instrumen pretest dan postest tentang prestasi belajar aljabar, kemampuan berpikir kritis dan angket kecemasan siswa. Untuk menguji keefektifan pembelajaran digunakan uji one sample t-test. Untuk menguji perbedaan keefektifan digunakan uji MANOVA dan untuk mengetahui pembelajaran mana yang lebih efektif digunakan uji independent sample t-test. Hasil penelitian menunjukkan: (1) PBL seting kolaboratif kelompok maupun berpasangan masing-masing efektif ditinjau dari prestasi belajar aljabar, kemampuan berpikir kritis, dan kecemasan siswa, (2) PBL seting kolaboratif kelompok lebih efektif dibandingkan PBL seting kolaboratif berpasangan ditinjau dari prestasi belajar aljabar, namun tidak terdapat perbedaan keefektifan ditinjau dari kemampuan berpikir kritis dan kecemasan siswa. The effectiveness of PBL with collaborative setting in terms of algebraic achievement, critical thinking ability, and math anxiety AbstractThis study aimed to describe which was more effective between PBL with grouped collaborative setting or paired collaborative setting in terms of the algebraic achievement, critical thinking ability, and mathematics anxiety. This research was quasi-experimental with the pretest-posttest nonequivalent comparison-group design. The research population included all 7th grade students of SMP Negeri 3 Kalasan which consisted of four classes. Two classes were randomly established as the sample. Before and after the treatment, these two classes were given a pretest and posttest of algebraic achievements, critical thinking ability, and and questionnaire of math anxiety. To test the effectiveness of this study, the researcher used one sample t-test; to examine differences in the effectiveness, the researcher used MANOVA; to determine which learning model was more effective, the researcher used the independent sample t-test. The results of this study show that: (1) the PBL with grouped and paired collaborative setting were effective in terms of the algebraic achievements, critical thinking ability, and mathematics anxiety, (2) the PBL with grouped collaborative setting was more effective than that using the PBL with paired collaborative setting in terms of algebraic achievement, but no difference in the effectiveness in terms of critical thinking ability and math anxiety

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