Articles
Guardian Student Thinking Process in Resolving Issues Divergence
Sri Adi Widodo;
Turmudi Turmudi
Journal of Education and Learning (EduLearn) Vol 11, No 4: November 2017
Publisher : Intelektual Pustaka Media Utama
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DOI: 10.11591/edulearn.v11i4.5639
The purpose of this study was to determine the thought processes of students guardian in resolving the problem of divergence. This study included descriptive qualitative study. Instruments in the study are the researchers themselves with the help of personality tests KTS and Student Worksheet. Data collection procedures used techniques Think Out loud. Data analysis technique used to examine all the data collected, making the classification of personality types, examines the work of students in solving mathematical problems, verification of data. As for checking the validity of the data using the criteria of degree of trustworthiness. The results showed that the student's guardian do the thinking process of assimilation to the four stages of problem-solving Polya that stage to understand the problem, plan to resolve the issue, implement the plan and check the answers.
ANALYSIS OF DIDACTICAL CONTRACTS ON TEACHING MATHEMATICS: A DESIGN EXPERIMENT ON A LESSON OF NEGATIVE INTEGERS OPERATIONS
Nyiayu Fahriza Fuadiah;
Didi Suryadi;
Turmudi Turmudi
Jurnal Infinity Vol 6, No 2 (2017): VOLUME 6 NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES
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DOI: 10.22460/infinity.v6i2.p157-168
This paper presents an analysis of mathematical teaching that takes place in the classroom to identifying the characteristics of didactical contract that occur as part of a didactical situation. Didactical contract is a way that determines the responsibilities of teachers and students and regulates their interaction in a learning process. Arithmetic operations involving negative numbers are known to have epistemological obstacles that cause student difficulties in solving problems and understand the higher level subject matter. The design experiment was conducted on 31 seventh grade students and a mathematics teacher on negative integer operations lessons. The researchers analyzed the ongoing learning, how the didactic situational stages evolve in the teacher-student interaction that allows the formation of new knowledge or concepts in the student and how the teacher organizes the responsibility for achieving the learning objectives. The Analysis showed that students, at an early stage, can perform negative integers operations by utilizing the basic concepts they get in primary school. This concept can bridge into a new knowledge that identifies the properties of integer count operations and builds power of mind on problem-solving.
PENERAPAN MODEL ADVANCE ORGANIZER UNTUK MENINGKATKAN KEMAMPUAN BERPIKIR KRITIS DAN KREATIF SERTA SELF-ESTEEM MATEMATIS SISWA MADRASAH TSANAWIYAH
Trian Pamungkas Alamsyah;
Turmudi Turmudi
KALAMATIKA Jurnal Pendidikan Matematika Vol 1 No 2 (2016): KALAMATIKA November 2016
Publisher : FKIP Universitas Muhammadiyah Prof. DR. HAMKA
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DOI: 10.22236/KALAMATIKA.vol1no2.2016pp119-128
ABSTRAK Tujuan utama penelitian ini untuk menyelidiki pencapaian dan peningkatan kemampuan berpikir kritis dan kreatif matematis siswa serta self-esteem matematis siswa, sebagai akibat dari model Advance Organizer. Penelitian ini adalah peneltian kuasi eksperimen dengan non-equivalent control grup design. Populasi penelitian ini adalah seluruh siswa MTs Negeri Bayah, dan pengambilan sampel dilakukan dengan teknik purposive sampling, yaitu dengan memilih kelas VIII sebanyak dua kelas sebagai sampel. Satu kelas sebagai kelas eksperimen yang mendapat model Advance Organizer dan satu kelas lagi sebagai kelas kontrol yang mendapat pembelajaran biasa. Instrument yang digunakan dalam penelitian ini terdiri dari tes kemampuan berpikir kritis dan kreatf matematis, skala self-esteem matematis, serta lembar observasi. Hasil analisis data menggunakan uji-t, uji-t’, dan uji Mann-Whitney menyimpulkan bahwa pencapaian dan peningkatan kemampuan berpikir kritis dan kreatif matematis siswa yang mendapatkan model Advance Organizer lebih baik daripada siswa yang mendapatkan pembelajaran biasa; peningkatan self-esteem matematis siswa yang mendapatkan model Advance Organizer tidak lebih baik dibandingkan dengan siswa yang mendapatkan pembelajaran biasa. Kata Kunci : Model Advance Organizer, Berpikir Kritis Matematis, Berpikir Kreatif Matematis, Self-Esteem Matematis
THE VALIDITY AND RELIABILITY OF INSTRUMENTS FOR MEASURING ELEMENTARY SCHOOL STUDENTS' EARLY MATHEMATICAL ABILITY
Aan Yuliyanto;
Turmudi Turmudi;
Ernawulan Syaodih;
Dadan Rusdiana Saputra;
Arie Dharmawan;
Cahya Karisma Pertiwi
KALAMATIKA Jurnal Pendidikan Matematika Vol 6 No 2 (2021): KALAMATIKA November 2021
Publisher : FKIP Universitas Muhammadiyah Prof. DR. HAMKA
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DOI: 10.22236/KALAMATIKA.vol6no2.2021pp127-142
Teachers need to understand students' early mathematical abilities before continuing learning on the next topic to retain the knowledge. This study aims to produce appropriate and reliable instruments for quality research related to early mathematical abilities. This research implemented R&D. The subjects were 113 sixth-grade students of the elementary school in Karawang. The instrument used was a test to measure early mathematical ability. Validity and reliability tests indicated that the five initial mathematical ability test items were considered valid, with r count > r table and p-value <0.05. The Cronbach's Alpha value was 0.875 (above 0.8 or high reliability). Thus, the five items of the early mathematical ability instrument on the volume of cubes and rectangular prisms can be used for further research to measure the same variables accurately. The results are not significantly different for the same subject even though the time and place are different.
Mathematics Teacher's Response to Blended Learning Hyper content with Hyperlinks as a Limited Face-to-Face Learning Strategy
Turmudi Turmudi;
Asep Syarif Hidayat;
Widayanti Widayanti;
Aan Yuliyanto;
Riska Nurhasanah;
Ahmad Rizal Jalaludin;
Nana Diana
Didaktik Matematika Vol 9, No 1 (2022): April 2022
Publisher : Universitas Syiah Kuala
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DOI: 10.24815/jdm.v9i1.24756
The need for adaptive learning strategies during limited face-to-face learning inspires this study. The research intends to analyze the responses and implementation plans of mathematics teachers in implementing blended learning hyper content with hyperlinks on linear equation system with two variables (LESTV). The data collection was done through survey involving questionnaires and interview sheets. Data were then analyzed descriptively. The participants were 38 mathematics junior high teachers in Purwakarta, Indonesia. This study shows the enthusiasm and confidence of teachers in implementing blended learning hyper content with hyperlinks, which is undoubtedly a new insight. It is deemed flexible and easy to apply and becomes an alternative during limited face-to-face learning. Mathematics teachers can plan Blended Learning Hyper content with Hyperlinks through various media and topics. Various LESTV problem-solving strategies can give student interest in studying LESTV concepts and solving problems.
KARAKTERISTIK WAYS OF THINKING (WOT) DAN WAYS OF UNDERSTANDING (WOU) SISWA BERDASARKAN TEORI HAREL
Hani Nurhasanah;
Turmudi Turmudi;
Al Jupri
Journal of Authentic Research on Mathematics Education (JARME) Vol 3, No 1 (2021)
Publisher : Program Studi Magister Pendidikan Matematika, Universitas Siliwangi
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DOI: 10.37058/jarme.v3i1.2449
Proses berpikir tiap siswa dalam menyelesaikan masalah matematis cenderung berbeda dan unik. Proses berpikir yang unik tidak terlepas dari pemahaman dari masing-masing siswa terhadap suatu konsep. Cara berpikir yang salah atau tidak logis akan menentukan pemahamannya terhadap suatu konsep yang salah, begitu pun sebaliknya cara memahami siswa terhadap masalah atau konsep yang salah akan berpengaruh terhadap cara berpikir yang salah. Tujuan penelitian ini yaitu menganalisis karakteristik dari cara berpikir dan cara memahami siswa dalam menyelesaikan masalah vektor berdasarkan Teori Harel. Metode penelitian yang digunakan adalah penelitian kualitatif deskriptif dengan teknik pengumpulan data yaitu studi pendahuluan, observasi, pemberian tugas, dan wawancara klinis. Hasil penelitian menunjukan bahwa karakteristik dari ways of thinking dan ways of understanding siswa dalam menyelesaikan masalah terkait vektor pada umumnya tergolong cara berpikir benar dengan cara memahami yang benar (BB) sebesar 32%. Hal ini menunjukkan bahwa Teori Harel mengenai duality principle berlaku terhadap siswa dalam menyelesaikan masalah terkait vektor yaitu siswa mengembangkan cara berpikir hanya melalui konstruksi cara-cara memahami, dan cara-cara memahami yang mereka hasilkan ditentukan oleh cara berpikir yang dimiliki.
MATHEMATICS CREATIVE THINKING SKILLS INSTRUMENT TO SOLVE CUBE AND RECTANGULAR PRISM VOLUME PROBLEMS FOR ELEMENTARY SCHOOL STUDENTS
Aan Yuliyanto;
Turmudi Turmudi;
Ernawulan Syaodih;
Arie Dharmawan;
Cahya Karisma Pertiwi;
Idat Muqodas;
Dadan Rusdiana Saputra
MaPan : Jurnal Matematika dan Pembelajaran Vol 9 No 1 (2021): JUNE
Publisher : Department of Mathematics Education Faculty of Tarbiyah and Teacher Training Universitas Islam Negeri Alauddin Makassar
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DOI: 10.24252/mapan.2021v9n1a5
Mathematical creative thinking skills can help students solve mathematical problems with diverse, unique, and detailed solutions and strategies. This study aims to produce an instrument capable of obtaining information about students' mathematical creative thinking skills to solve the cube and rectangular prism volume problems for elementary school students. Research and development are applied in this research. The population of this research was sixth-grade elementary school students in Jakarta and West Java. The participants were 33 students in East Jakarta and 15 students in Purwakarta. The sample is based on purposive sampling. The instrument developed was an essay test question. The item validity test shows that the three items are considered accurate for measuring mathematical creative thinking skills correctly. The instrument is considered consistent for measuring mathematical creative thinking skills and can measure mathematical creative thinking skills on similar subjects at different times and places. The difficulty level of the three items is moderate, so that belonging is not too difficult or easy. The discrimination power of the questions is very good to discriminate the skills of students who are classified as high and low. Thus, the mathematical creative thinking skills instrument can be used to understand the mathematical creative thinking skills of sixth-grade and can also be used to measure the mathematical creative thinking skills of fifth-grade elementary school students on the same material for further research.
MENINGKATKAN KEMAMPUAN BERPIKIR KREATIF DAN PEMECAHAN MASALAH MATEMATIS SISWA MADRASAH ALIYAH
wawan kusmawan;
Turmudi Turmudi;
Dadang Juandi;
Hamdan Sugilar
Jurnal Analisa Vol 4, No 1 (2018): Volume 4 Nomor 1 Tahun 2018
Publisher : Department of Mathematics Education, UIN Sunan Gunung Djati Bandung, West Java, Indonesia
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DOI: 10.15575/ja.v4i1.2839
Tujuan penelitian ini untuk mengkaji perbedaan peningkatan kemampuan berpikir kreatif dan pemecahan masalah antara siswa yang mendapatkan pembelajaran model investigasi kelompok dengan siswa yang mendapatkan pembelajaran biasa. Subjek penelitian ini adalah siswa Madrasah Aliyah dengan sampel penelitian terdiri dari dua kelas yang diambil secara acak dari delapan kelas XI yang ada di Madrasah Aliyah Negeri 2 Kota Bandung dengan teknik purposive sampling. Kelas pertama sebagai kelas kontrol dan kelas kedua sebagai kelas eksperimen. Kelas kontrol memperoleh pembelajaran biasa dan kelas eksperimen memperoleh pembelajaran dengan model investigasi kelompok. Pengumpulan data hasil penelitian menggunakan instrumen berupa soal-soal tes kemampuan berpikir kreatif dan pemecahan masalah matematis dianalisis secara kuantitatif. Data sebelum dianalisis terlebih dahulu diuji normalitas dan homogenitas dilanjutkan uji-t, jika data tidak normal memakai uji Mann-Whitney. Data hasil skala sikap dianalisis secara kualitatif. Hasil penelitian ini menunjukkan bahwa adanya perbedaan peningkatan kemampuan berpikir kreatif dan pemecahan masalah matematis antara siswa yang menggunakan pembelajaran model investigasi kelompok dengan siswa yang menggunakan pembelajaran biasa. Analisis data angket skala sikap memperlihatkan bahwa siswa bersikap positif terhadap pembelajaran matematika yang mencakup sikap terhadap pelajaran matematika, pembelajaran dengan model investigasi kelompok maupun terhadap soal-soal kemampuan berpikir kreatif dan pemecahan masalah matematis.
Komunikasi Matematis Siswa SMA Ditinjau dari Gaya Belajar dalam Pembelajaran Daring
Ambar Gini Permatasari;
Turmudi Turmudi
Jurnal Pengembangan Pembelajaran Matematika Vol. 3 No. 1 (2021)
Publisher : Universitas Islam Negeri Sunan Kalijaga Yogyakarta
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DOI: 10.14421/jppm.2021.031-02
Komunikasi matematis dalam pembelajaran matematika sangat penting dan harus Dimiliki siswa, hal ini disebabkan oleh komunikasi matematika mengatur dan mengkonsolidasikan pemikiran matematika siswa baik secara lisan maupun tulisan. Tujuan dari penelitian ini yaitu untuk mendeskripsikan perbedaan kemampuan komunikasi matematis siswa yang memiliki gaya belajar auditorial dan gaya belajar visual dalam pembelajaran matematika secara daring (online). Metode penelitian ini yaitu penelitian deskriptif yang menggunakan pendekatan survey. Instrumen yang digunakan dalam penelitian ini berupa instrument angket gaya belajar dengan menggunakan google forms. Selanjutnya diambil beberapa siswa untuk mengerjakan soal komunikasi matematis yang dibuat. Hasil penelitian ini menunjukkan bahwa terdapat Sebagian siswa mengalami kesulitan dalam mengkomunikasikan serta memahami materi yang diajarkan karena pembelajaran matematika secara daring merupakan hal baru bagi siswa serta sebagian siswa tidak senang jika pembelajaran matematika dilakukan secara daring yang disebabkan oleh faktor-faktor yang mempengaruhinya seperti kendala teknis, tekanan karena banyak tugas dan lain sebagainya. Serta ditemukan bahwa siswa yang memiliki gaya belajar auditorial dan gaya belajar visual mempunyai cara yang berbeda dalam mengkomunikasikan ide dan gagasannya. Yaitu mampu menyatakan situasi secara tertulis, mampu mengubah situasi ke dalam model matematika, mampu mengungkapkan kesimpulan matematika yang diperolehnya dengan bahasa sendiri.Kata Kunci: komunikasi matematis, gaya belajar, pembelajaran daring (online).
IMPROVEMENT ALGEBRAIC THINKING ABILITY USING MULTIPLE REPRESENTATION STRATEGY ON REALISTIC MATHEMATICS EDUCATION
Widya Kusumaningsih;
Darhim Darhim;
Tatang Herman;
Turmudi Turmudi
Journal on Mathematics Education Vol 9, No 2 (2018)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University
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DOI: 10.22342/jme.9.2.5404.281-290
The study aimed at improving students’ algebraic thinking ability in the eighth-grade junior high school student through multiple representation strategies using realistic approach. The multiple representation strategies consist of orientation, exploration, internalization, and evaluation. This is a quasi-experimental study with nonrandomized pretest-posttest control group design. The population of this study was the student the eighth grade in Kudus city. Two classes were selected and classified as a class experiment that subject are given multiple representation strategies using realistic approach, and one other class as a control class that subjects are given scientific approach. Data obtained was analyzed by the independent t-test and proportions test. The result showed that there was an interaction between the multiple representation strategies using the realistic approach on the ability of algebraic thinking. The students with multiple representation strategies had better algebraic thinking ability than those with current scientific learning. In addition, more than seventy-five percent of the students with multiple representation strategies using realistic approach fulfill the learning completeness.