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Pythagoras: Jurnal Matematika dan Pendidikan Matematika
ISSN : 19784538     EISSN : 2527421X     DOI : 10.21831
Core Subject : Education,
Arjuna Subject : -
Articles 265 Documents
Hubungan pedagogical content knowledge guru matematika dan prestasi belajar siswa sekolah menengah pertama Maria Evarista Oktaviane Barut Barut; Ariyadi Wijaya; Heri Retnawati
PYTHAGORAS Jurnal Pendidikan Matematika Vol 15, No 2: December 2020
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v15i2.35375

Abstract

Guru telah dikenal luas sebagai salah satu faktor penting yang mempengaruhi prestasi belajar siswa. Kompetensi guru, khususnya pengetahuannya, membantu guru untuk mengorganisasi­kan pem­belajaran yang efektif guna memfasilitasi keberhasilan belajar siswa. Salah satu jenis penge­tahuan yang penting dikuasai oleh guru adalah Pedagogical Content Knowledge (PCK). PCK merupakan kombinasi pengetahuan konten dan pedagogi yang mengarah pada bagaimana aspek-aspek tertentu dari materi pembelajaran diatur, diadaptasi, dan direpresentasikan untuk diterapkan di dalam proses pembelajaran. Penelitian ini bertujuan untuk mendeskripsikan ting­kat PCK guru matematika dan prestasi belajar siswa, serta menguji hubungan keduanya. Pene­litian ini adalah kuantitatif-korelasional dengan subjek penelitian 56 guru mate­matika dan 499 siswa SMP di Kabupaten Manggarai, Nusa Tenggara Timur. Data PCK guru dan prestasi siswa dikumpulkan menggunakan tes objektif yang telah dinyatakan valid dan reliabel. Data dianalisis menggunakan statistik deskriptif dan inferensial. Hasil penelitian mengungkapkan bahwa seba­gian besar guru memiliki PCK pada kategori rendah dan sebagian besar siswa memiliki prestasi belajar pada kategori rendah. Namun demikian, terdapat korelasi positif yang signifikan antara PCK guru mate­matika dan prestasi belajar siswa dengan kontribusi PCK guru terhadap prestasi belajar siswa sebesar 16,1%. Relationship between pedagogical content knowledge of mathematics teacher and learning achievement of junior high school studentsAbstractTeachers’ competence, especially their knowledge, helps them organize effective classrooms to facilitate students’ success. One of the essential knowledge that should be mastered by a teacher is Pedagogical Content Knowledge (PCK). PCK represents the combination of knowledge about content and pedagogy to understand how particular aspects of subject matter are organized, adapted, and represented for instruction. This study aimed to describe mathe­matics teachers’ PCK and students’ learning achievement as well as and between the two variables. The study was qualitative-correlational with 56 mathema­tics teachers and 499 senior high school students in Manggarai Regency, East Nusa Tenggara, Indonesia, as the subject. Both data of teachers’ PCK and students’ learning achievement were collected using validated and reliable objective tests. Data were analyzed using descriptive and inferen­tial statistics. The results indicated that most teachers have PCK in the low category, and most stu­dents have learning achievement in the low category. However, there was a positive correlation between teachers’ PCK and students’ learning achievement, with the contribution of the teachers’ PCK to students’ learning achieve­ment by 16,1%.
Keefektifan pembelajaran matematika realistik ditinjau dari kemampuan pemodelan matematika dan prestasi belajar Eki Rahmad; Ariyadi Wijaya
PYTHAGORAS Jurnal Pendidikan Matematika Vol 15, No 1: June 2020
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v15i1.34593

Abstract

Tujuan penelitian ini adalah untuk menguji perbedaan keefektifan antara pembelajaran mate­matika realistik dan pembelajaran ekspositori ditinjau dari kemampuan pemodelan matematika dan prestasi belajar siswa SMP. Penelitian ini adalah penelitian quasi-experiment menggunakan pretest-posttest nonequivalent control group design. Populasi dalam penelitian ini adalah siswa kelas VIII SMP Negeri 15 Yogyakarta yang terdiri atas 10 kelas dan dipilih secara acak dua kelas yaitu siswa kelas VIII C (kelas eksperimen, n = 33) dan siswa kelas VIII F (kelas kontrol, n = 33) sebagai sampel penelitian. Instrumen yang digunakan dalam penelitian ini adalah tes uraian untuk mengukur kemampuan pemodelan matematika dan tes pilihan ganda untuk mengukur prestasi belajar siswa. Uji statistik menggunakan analisis multivariat Hotelling’s Trace pada taraf signifikansi 5% dilakukan untuk menguji hipotesis penelitian. Hasil penelitian menunjukkan bah­wa pembelajaran matematika realistik lebih baik dari pembelajaran ekspositori ditinjau dari kemampuan pemodelan matematika dan prestasi belajar siswa.Effectivity of realistic mathematics education viewed from mathematics modelling competence and learning achievementAbstractThe purpose of this study was to examine the difference in effectiveness between realistic mathematics education and expository learning viewed from mathematical modelling compe­tence and achievement of junior high school students. This study was quasi-experiment research with the pretest-posttest nonequivalent control group design. This study's population was the 8th-grade students of SMP Negeri 15 (junior high school) in Yogyakarta, Indonesia, consisting of ten classes. The sample in this study was the students of class VIII C (experiment group, n = 33) and VIII F (control group, n = 33) selected randomly. In this study, the instruments used were essay questions to measure mathematics modelling competence and multiple-choice questions to measure learning achievement. Statistical test using the Manova with the Hotelling's Trace test at a significance level of 5% was conducted to examine the hypothesis. The results showed that realistic mathematics education was better than expository learning viewed from students' ma­thematics modelling competence and learning achievement.
Pengembangan Keprofesian Berkelanjutan (PKB) dalam kaitannya dengan kompetensi dan praktik pembelajaran guru matematika SMA Theresia Veni Tri Nugraheni; Jailani Jailani
PYTHAGORAS Jurnal Pendidikan Matematika Vol 15, No 1: June 2020
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v15i1.34601

Abstract

Penelitian ini bertujuan untuk mengeksplorasi Pengembangan Keprofesian Berkelanjutan (PKB) dalam kaitannya dengan kompetensi dan praktik pembelajaran yang dilakukan guru mate­matika SMA di Kabupaten Kulon Progo. Penelitian ini merupakan penelitian deskriptif meng­gunakan metode campuran, dengan desain penelitian convergent parallel design. Subjek dalam penelitian ini adalah seluruh guru SMA peserta Ujian Kompetensi Guru (UKG) matematika tahun 2015 di Kabupaten Kulon Progo yang berjumlah 33 guru. Teknik pengumpulan data yang digu­nakan adalah tes, angket, observasi, dokumentasi, dan wawancara. Teknik analisis data yang digunakan untuk data kuantitatif yaitu deskriptif dan Partial Least Squares Structural Equation Modeling (PLS-SEM). Analisis data kualitatif dianalisis melalui pengkategorian, reduksi data, penyajian data, dan penarikan kesimpulan. Hasil penelitian menunjukkan bahwa: (1) terdapat pengaruh yang signifikan PKB terhadap kompetensi guru matematika SMA di Kabupaten Kulon Progo dengan nilai prediksi sebesar 0,360 (t = 2,51); dan (2) terdapat pengaruh yang signifikan PKB terhadap praktik pembelajaran guru matematika SMA di Kabupaten Kulon Progo dengan nilai prediksi sebesar 0,402 (t = 2,25). Continuing Professional Development (CPD) in relation to the competence and learning practices of high school mathematics teachersAbstractThis study aimed to explore Continuing Professional Development (CPD) in relation to the com­petence and teaching practice conducted by senior high school mathematics teachers in Kulon Progo Regency. This study was descriptive research using a mixed-method with convergent parallel design. The research subject was all senior high school mathematics teachers in Kulon Progo Regency who participated in the Teacher Competency Test (or UKG) in 2015, and the subject applied was 33 teachers. The data collection was conducted through a test, question­naire, documentation, observation, and interview. The data analysis used was descriptive and Partial Least Squares Structural Equation Modeling (PLS-SEM). Qualitative data was analyzed through data categorization, data reduction, data presentation, and conclusion drawing. The results of the study showed that: (1) there was a significant influence CPD toward competence of senior high school mathematics teachers in Kulon Progo Regency with prediction value 0.360 (t = 2.51); and (2) there was a significant influence CPD toward teaching practice of senior high school mathematics teachers in Kulon Progo Regency with prediction value 0.402 (t = 2.25).
Pengembangan lembar kerja peserta didik (LKPD) berbasis problem-based learning (PBL) pada topik sudut Dandi Mifta Abdillah; Dwi Astuti
PYTHAGORAS Jurnal Pendidikan Matematika Vol 15, No 2: December 2020
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v15i2.36444

Abstract

Penelitian ini bertujuan untuk menghasilkan Lembar Kerja Peserta Didik (LKPD) berbasis Problem-Based Learning (PBL) pada topik sudut yang layak. Penelitian pengembangan ini mengadopsi model pengembangan ADDIE dengan tahapan meliputi Analysis, Design, Development, Implementation, dan Evaluation. Kualitas LKPD ditinjau dari penilaian ahli materi, ahli media, dan respon peserta didik. Instrumen penelitian yang digunakan adalah angket ahli materi, angket ahli media, dan angket respon peserta didik. LKPD diujicobakan di kelas VII SMP Muhammadiyah 1 Yogyakarta dengan subjek sebanyak 32 peserta didik. LKPD yang dikembangkan memuat aktivitas pembelajaran sesuai langkah PBL, menyajikan masalah yang berkaitan dengan kehidupan sehari-hari di awal pembelajaran, dan dapat digunakan dalam pembelajaran online. Ditinjau dari aspek materi, LKPD dinilai baik dengan rerata skor penilaian oleh ahli materi yaitu 4,00. Ditinjau dari aspek media, LKPD dinilai baik dengan skor penilaian oleh ahli media sebesar 3,6. Respon peserta didik terhadap penggunaan LKPD termasuk pada kategori baik dengan rerata skor penilaian sebesar 4,05. Dapat disimpulkan bahwa LKPD berbasis PBL untuk SMP kelas VII pada topik sudut layak digunakan dalam pelaksanaan pembelajaran matematika. Development of a students' worksheet based on problem-based learning (PBL) on the topic of anglesAbstractThis study aimed to produce a students’ worksheet or Lembar Kerja Peserta Didik (LKPD) based on Problem-Based Learning (PBL) on the topic of angles, which were feasible. This development research adopts the ADDIE development model with stages including Analysis, Design, Development, Implementation, and Evaluation. The quality of LKPD was viewed from the assessment of material experts, media experts, and students’ responses. The instrument used was a material expert questionnaire, a media expert questionnaire, and a students’ response questionnaire. LKPD was piloted on 32 seventh grade students of private junior high schools, namely SMP Muhammadiyah 1 Yogyakarta, Indonesia. The developed LKPD contained learning activities according to PBL steps, presented problems related to everyday life at the beginning of learning, and could be used in online learning. In terms of the material aspect, LKPD was considered good with an average score of assessment by material experts, namely 4.00. In terms of the media aspect, LKPD was considered good with a score of 3.6 by media experts. Students’ responses to the use of LKPD were included in the good category with an average score of assessment of 4.05. It could be concluded that the PBL-based LKPD for seventh-grade junior high school students on the topic of angles was feasible for use in the implementation of mathematics learning.
Analisis kesalahan siswa dalam menyelesaikan soal cerita program linear berdasarkan Newman’s error analysis Suratih Suratih; Heni Pujiastuti
PYTHAGORAS Jurnal Pendidikan Matematika Vol 15, No 2: December 2020
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v15i2.30990

Abstract

Tujuan penelitian ini adalah untuk mendeskripsikan kesalahan siswa dalam menyelesaikan soal cerita program linear. Subjek dari penelitian ini yaitu siswa kelas XI SMAN 5 Kota Serang (n = 30). Pengumpulan data menggunakan tes tertulis dan dokumentasi. Analisis data menggunakan analisis deskriptif kualitatif. Dalam analisis ini, kesalahan siswa dikategorikan berdasarkan Newman’s Error Analysis. Hasil penelitian menunjukkan bahwa masih banyak siswa yang melakukan kesalahan dalam menyelesaikan soal cerita program linear. Kesalahan yang paling banyak terjadi adalah kesalahan penulisan jawaban akhir, sedangkan kesalahan yang paling sedikit terjadi adalah kesalahan transformasi. Kesalahan membaca terjadi karena siswa tidak mampu memaknai kalimat dengan tepat dan tidak mampu menemukan kata kunci atau informasi dalam soal. Kesalahan memahami soal terjadi karena siswa keliru dalam menuliskan apa yang diketahui dan ditanyakan dalam soal. Kesalahan transformasi terjadi karena siswa tidak mampu mentransformasikan masalah ke dalam model matematika dan tidak teliti dalam melakukan operasi matematika. Kesalahan keterampilan proses terjadi karena siswa mengalami kesalahan prosedur seperti salah dalam menulis fungsi tujuan yang akan dicapai dan tidak dapat memproses lebih lanjut solusi dari penyelesaian soal. Kesalahan penulisan jawaban terjadi karena banyak siswa yang tidak menuliskan kesimpulan, menuliskan kesimpulan tetapi tidak tepat, serta menuliskan kesimpulan yang salah. Analysis of students' errors in solving word problems of the linear program based on Newman's error analysisAbstractThis study aimed to describe students’ errors in solving word problems of the linear program. This study’s subjects were eleventh-grade students of SMAN 5 (Senior High School) in Serang City (n = 30), Indonesia. Data collection using the written test and documentation. Data analysis using qualitative descriptive analysis. In this analysis, students' errors were categorized based on Newman's Error Analysis. The results showed that many students made errors in solving word problems of the linear program. The most common error was writing the final answer, while the error that occurs the least was the transformation error. Reading errors occur because students could not interpret sentences correctly and could not found keywords or information in the problems. Errors in understanding the problems occur because students made errors in writing what they know and were asked in the problems. Transformation errors occur because students could not transform problems into mathematical models and were not careful in performing mathematical operations. Process skill errors occur because students experienced procedural errors such as incorrectly writing the objective function to be achieved and could not do the next process to find a solution to the problems. Errors in writing answers occur because many students did not write conclusions, write inaccurate conclusions, and write wrong conclusions.
Efektivitas metode pembelajaran PQ4R ditinjau dari kemampuan berpikir reflektif matematis dan self-concept siswa Intan Permatasari; Sri Hastuti Noer; Pentatito Gunowibowo
PYTHAGORAS Jurnal Pendidikan Matematika Vol 15, No 1: June 2020
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v15i1.33830

Abstract

Penelitian eksperimen semu ini bertujuan untuk menguji efektivitas metode pembelajaran PQ4R (Preview, Question, Read, Reflect, Recite, Review) ditinjau dari kemampuan berpikir reflektif dan self-concept siswa. Populasi penelitian adalah seluruh siswa kelas VIII SMP Negeri 12 Bandar Lampung tahun pelajaran 2019/2020 yang terdistribusi dalam sembilan kelas. Dari sembilan kelas tersebut dipilih satu kelas sebagai kelas eksperimen dan satu kelas sebagai kelas kontrol. Desain penelitian yang digunakan adalah pretest-posttest control group design. Pengumpulan data dilakukan menggunakan tes kemampuan berpikir reflektif matematis dan angket self-concept siswa. Data hasil tes dan angket dianalisis secara deskriptif dan inferensial. Hasil penelitian menunjukkan bahwa persentase siswa pada kelas PQ4R dengan kemampuan berpikir reflektif matematis dan self-concept terkategori baik lebih dari 60% dari jumlah siswa, namun peningkatan kemampuan berpikir reflektif matematis dan self-concept siswa yang mengikuti pembelajaran PQ4R tidak lebih tinggi daripada peningkatan siswa yang mengikuti pembelajaran konvensional. Dengan demikian, dapat disimpulkan bahwa metode pembelajaran PQ4R tidak efektif ditinjau dari kemampuan berpikir reflektif matematis dan self-concept siswa. The effectiveness of the PQ4R learning method in terms of students' mathematical reflective thinking ability and self-conceptAbstractThis quasi-experimental research aimed to examine the effectiveness of the PQ4R (Preview, Question, Read, Reflect, Recite, Review) learning method in terms of reflective thinking ability and self-concept of students. The study population was all eighth-grade students of SMP Negeri 12 Bandar Lampung (Junior High School) for the 2019/2020 academic year, distributed in nine classes. Of the nine classes, one class was selected as the experimental class and one class as the control class. The research design used was the pretest-posttest control group design. The data was collected using a test of reflective mathematical thinking skills and a students' self-concept questionnaire. Test and questionnaire results were analyzed descriptively and inferentially. The results showed that the percentage of students in the PQ4R class with good categories in reflective mathematical thinking and self-concept was more than 60% of students' total number. The increase in mathematical reflective thinking ability and self-concept of students who took PQ4R learning was not higher than the increase in students who follow conventional learning. Thus, it can be concluded that the PQ4R learning method was ineffective in terms of students’ mathematical reflective thinking skills and self-concept.
Pengembangan bahan ajar interaktif multi representasi pada materi geometri kelas VII SMPLB tunarungu I Kadek Yasa Sumalasia; I Made Suarsana; I Wayan Puja Astawa
PYTHAGORAS Jurnal Pendidikan Matematika Vol 15, No 1: June 2020
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v15i1.25851

Abstract

Penelitian ini merupakan penelitian pengembangan yang ditujukan untuk menghasilkan bahan ajar interaktif multi representasi pada materi geometri untuk siswa kelas VII Sekolah Menengah Pertama Luar Biasa (SMPLB) Tunarungu yang layak dalam hal kevalidan, kepraktisan, dan keefektifannya. Untuk menghasilkan bahan ajar tersebut, model pengembangan ADDIE (Analysis, Design, Development, Implementation, Evaluation) digunakan dalam penelitian ini. Subjek uji coba penelitian adalah 10 siswa kelas VII SMPLB di salah satu SLB Negeri di Kabupaten Buleleng, Bali. Instrumen yang digunakan dalam penelitian ini terdiri atas: (1) lembar validasi materi, kebahasaan, penyajian, dan kegrafikan untuk menilai kevalidan; (2) angket respons guru dan siswa untuk menilai kepraktisan; dan (3) tes hasil belajar untuk menilai keefektifan bahan ajar yang dikembangkan. Penelitian ini menghasilkan bahan ajar interaktif multi representasi yang valid, praktis, dan efektif. Hasil validasi menunjukkan bahwa bahan ajar yang dikembangkan berada pada kriteria valid. Hasil analisis angket respons guru dan siswa berturut-turut menunjukkan bahwa kepraktisan bahan ajar yang dikembangkan berada pada kriteria sangat tinggi dan tinggi. Bahan ajar yang dikembangkan juga memenuhi kriteria keefektifan, di mana sebanyak 90% subjek uji coba memperoleh skor tidak kurang dari 76 pada tes hasil belajar. Dengan demikian, dapat disimpulkan bahwa bahan ajar yang dikembangkan layak digunakan untuk mendukung dan memfasilitasi siswa tunarungu dalam belajar geometri. Development of interactive multi-representational teaching material on geometry topic for 7th-grade hearing-impaired students of special junior high schoolAbstractThis study was development research which was aimed to produce an interactive learning material with multi representation approach in the topic of geometry for the 7th-grade hearing-impaired students of Special Junior High School (Sekolah Menengah Pertama Luar Biasa or SMPLB), which was feasible in terms of its validity, practicality, and effectiveness. To produce interactive learning material, the development model of ADDIE (Analysis, Design, Development, Implementation, and Evaluation) was used. The trial subjects were ten 7th graders of SMPLB in one of the special public schools in Buleleng Regency, Bali, Indonesia. The instruments which were used comprised of: (1) validation sheet of content, language, layout, and graphical to assess the validity; (2) teacher and students response questionnaires to assess the practicality; and (3) test of learning achievement to assess the effectiveness of the developed learning material. This study yielded an interactive learning material that was valid, practical, and effective. The results of validation showed that the developed learning material at valid criteria. The results of the teacher and student response questionnaire consecutively showed that the practicality of developed lear­ning material at the very high and high practical criteria. The developed learning material also meets the effectiveness criteria, in which as many as 90% of the trial subjects got score not less than 76 on the test of learning achievement. Consequently, it can be concluded that the deve­loped learning material was feasible to use to support and facilitate the hearing-impaired stu­dents in learning geometry.
Konsepsi siswa kelas tiga sekolah dasar tentang bilangan bulat Syafdi Maizora; Rizky Rosjanuardi
Pythagoras: Jurnal Matematika dan Pendidikan Matematika Vol 15, No 2: December 2020
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v15i2.37645

Abstract

Artikel ini menggambarkan konsepsi salah seorang siswa kelas 3 Sekolah Dasar di Kota Bengkulu tentang bilangan bulat di luar pembelajaran formal. Siswa ini mengalami banyak intervensi tanpa skenario dalam pembelajarannya, di antaranya dari keluarga (kakak kelas 8 yang memiliki prestasi baik dalam matematika, kedua orang tua pengajar matematika) dan pelatihan sempoa. Konsepsi yang digali adalah arti bilangan negatif, bilangan bulat, serta operasi penjumlahan dan pengurangan pada bilangan bulat. Jenis penelitian ini adalah penelitian kualitatif dengan pendekatan studi kasus. Subjek diberikan beberapa pertanyaan seputar konsepsi bilangan bulat. Hasil penelitian menunjukkan bahwa subjek memiliki konsepsi sebagai berikut: 1) menggunakan istilah “kurang”, “utang” atau “posisi di bawah permukaan” untuk memaknai bilangan bulat ne­gatif, 2) bilangan bulat negatif diartikan sebagai invers penjumlahan bilangan asli, 3) ada perbe­daan antara simbol negatif dengan simbol operasi pengurangan, 4) bilangan bulat negatif bera­da di sebelah kiri bilangan 0 pada garis bilangan, 5) bilangan bulat negatif terkecil berada di sebe­lah kiri bilangan bulat negatif lainnya, seperti bilangan-bilangan pada penggaris, dan mampu menggunakan dinding sebagai pengganti garis bilangan, 6) menggunakan istilah “maju” atau “mundur” untuk mengoperasikan penjumlahan bilangan bulat, 7) menggunakan kata “jarak”, “lompatan di atas garis bilangan”, dan “lompatan di bawah garis bilangan”  untuk mengoperasi­kan pengurangan bilangan bulat. Conceptions of third-grader elementary school about integersAbstractThis article described the conception of a third-grader elementary school in the City of Bengkulu about integers outside formal learning. This student experienced many interventions without scenarios in their learning, including their families (a brother in eighth-graders who had good mathematics achievements, parents were mathematics education lecturer) and an abacus trai­ning. The explored conceptions were the meaning of negative numbers, integers, and addition and subtraction operations on integers. This research was qualitative research with a case study approach. The subject was asked several questions regarding the conception of integers. The results of this research indicated that the subject had the following conception: 1) using the term “less”, “debt”, or “position under the surface” to interpret negative integers; 2) interpreting nega­tive integers as the inverse of the addition of natural numbers; 3) differentiating the negative symbol and the subtraction operation symbol, 4) locating negative integers to the left of “0” on a number line; 5) locating smaller negative integers to the left of other negative integers like num­bers on a ruler and having an ability to use a wall as a substitute of a number line; 6) using terms “forward” or “backward” to operate integer additions; and 7) using the term “distance”, “jumps over the number line”, and “jumps under the number line” to operate integer subtractions.
Pengaruh geogebra online berbasis scaffolding dan tingkat self-regulated learning terhadap kemampuan berpikir kritis Asih Miatun; Hikmatul Khusna
PYTHAGORAS Jurnal Pendidikan Matematika Vol 15, No 2: December 2020
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v15i2.34499

Abstract

Penelitian ini bertujuan untuk menguji (1) pengaruh pembelajaran menggunakan Google Meet dengan Geogebra online berbasis scaffolding terhadap kemampuan berpikir kritis mahasiswa; (2) pengaruh tingkat Self-Regulated Learning (SRL) pada kemampuan berpikir kritis mahasiswa; dan (3) pengaruh interaksi antara jenis pembelajaran dan tingkat SRL terhadap kemampuan berpikir kritis mahasiswa. Desain penelitian yang digunakan adalah quasi-experiment. Sampel penelitian adalah mahasiswa pendidikan matematika yang dipilih menggunakan teknik cluster random sampling. Kelompok eksperimen (n = 23) diberi pembelajaran menggunakan Google Meet dengan Geogebra online berbasis scaffolding, sedangkan kelompok kontrol (n = 23) diberi pembelajaran menggunakan Google Meet tanpa bantuan Geogebra online. Pengumpulan data menggunakan tes kemampuan berpikir kritis dan angket SRL. Teknik analisis data menggunakan ANOVA dua jalan pada taraf signifikansi 5%. Hasil penelitian menunjukkan bahwa (1) kemam­puan berpikir kritis kelompok yang diberi pembelajaran menggunakan Google Meet dengan Geogebra online berbasis scaffolding lebih baik dibandingkan dengan kelompok kontrol; (2) terdapat perbedaan signifikan kemampuan berpikir kritis mahasiswa ditinjau dari tingkat SRL, dimana mahasiswa dengan SRL tinggi memiliki kemampuan berpikir kritis yang lebih baik daripada mahasiswa dengan SRL sedang dan rendah, serta mahasiswa dengan SRL sedang memiliki kemampuan berpikir kritis yang lebih baik daripada mahasiswa dengan SRL rendah; dan (3) tidak terdapat pengaruh interaksi antara jenis pembelajaran dan tingkat SRL terhadap kemampuan berpikir kritis mahasiswa. The effect of geogebra online based on scaffolding and the level of self-regulated learning on critical thinking skillsAbstractThis study aimed to examine (1) the effect of learning using Google Meet with Geogebra online based on scaffolding on students’ critical thinking skills; (2) the effect of the level of Self-Regulated Learning (SRL) on students’ critical thinking skills; and (3) the effect of the interaction between the type of learning and the SRL level on students’ critical thinking skills. The research design used was a quasi-experiment. The research sample was mathematics education students who were selected using the cluster random sampling technique. The experimental group (n = 23) was given learning using Google Meet with Geogebra online based on scaffolding, while the control group (n = 23) was given learning using Google Meet without the assistance of Geogebra online. Data collection used a critical thinking skills test and an SRL questionnaire. The data analysis technique used two-way ANOVA at a significance level of 5%. The results showed that (1) the critical thinking ability of the group given learning using Google Meet with Geogebra online based on scaffolding was better than the control group; (2) there was a significant difference in students’ critical thinking skills in terms of SRL level, where students with high SRL had better critical thinking skills than students with moderate and low SRL, and students with moderate SRL had better critical thinking skills than students with low SRL; and (3) there was no effect of the interaction between the type of learning and the SRL level on students’ critical thinking skills.
Keefektifan model pembelajaran CORE dengan strategi konflik kognitif ditinjau dari prestasi belajar, berpikir kritis, dan self-efficacy Sri Wahyuni Ningsih; Sugiman Sugiman; Pika Merliza; Uke Ralmugiz
PYTHAGORAS Jurnal Pendidikan Matematika Vol 15, No 1: June 2020
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pg.v15i1.34614

Abstract

Penelitian ini bertujuan untuk menguji keefektifan model pembelajaran Connecting, Organizing, Reflecting, Extending (CORE) dengan strategi konflik kognitif ditinjau dari prestasi belajar, berpikir kritis, dan self-efficacy siswa. Jenis penelitian ini adalah quasi experiment dengan pretest-posttest nonequivalent group design. Populasi dalam penelitian ini adalah siswa kelas VIII SMP Negeri 3 Yogyakarta dan dipilih  secara acak kelas VIII-C (n = 32) dan Kelas VIII-F (n = 33) sebagai sampel penelitian. One sample t-test digunakan untuk menguji keefektifan model CORE dengan strategi konflik kognitif dan model konvensional, sedangkan untuk menguji perbedaan keefektifan model pembelajaran digunakan uji Manova (Hotteling’s Trace). Hasil penelitian menunjukkan bahwa: (1) model pembelajaran CORE dengan strategi konflik kognitif efektif ditinjau dari prestasi belajar, kemampuan berpikir kritis, dan self-efficacy siswa; (2) model pembelajaran CORE dengan strategi konflik kognitif lebih efektif dibandingkan model konvensional ditinjau dari prestasi belajar, kemampuan berpikir kritis, dan self-efficacy siswa.The effectiveness of the CORE learning model with cognitive conflict strategies in terms of learning achievement, critical thinking, and self-efficacyAbstractThe study aimed to examine the effectiveness of Connecting, Organizing, Reflecting, Extending (CORE) learning model with cognitive conflict strategies in terms of students’ achievement, critical thinking, and self-efficacy. The study was a quasi-experiment with a pretest-posttest nonequivalent group design. The population of the study was all students of 8th-grade of SMP Negeri 3 Yogyakarta (Junior High School), Indonesia, and randomly selected class VIII-C (n = 32) and class VIII-F (n = 33) as the sample. One sample t-test was used to examine the effectiveness of the CORE learning model with cognitive conflict strategies and the conventional model. Whereas, to examine the difference between the effectiveness of the learning model, the Manova test (Hotteling’s Trace) was used. The result of the study showed that: (1) the CORE learning model with cognitive conflict strategies was effective in terms of students’ learning achievement, critical thinking skill, and self-efficacy; (2) The CORE learning model with cognitive conflict strategies was more effective than the conventional model in terms of students’ learning achievement, critical thinking skills, and self-efficacy.