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KEMAMPUAN ANALOGI MATEMATIS MAHASISWA PADA MATA KULIAH KALKULUS DIFFERENSIAL Gunawan Gunawan; Fitrianto Eko Subekti
KALAMATIKA Jurnal Pendidikan Matematika Vol 3 No 2 (2018): KALAMATIKA November 2018
Publisher : FKIP Universitas Muhammadiyah Prof. DR. HAMKA

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (319.939 KB) | DOI: 10.22236/KALAMATIKA.vol3no2.2018pp223-238

Abstract

This research aims to describe the students capability in mathematics analogy at the subject of differential calculus. The technique in taking the sample uses “purposive sampling technique”. It takes three students from each category, they are low, medium, and high. From the low category must of students haven’t understood get the concept used the solve the problem, not only the problem of the source but also the problem of target. For the medium category most of the students have understood the concept, and the similiar concept used, but they dont’t have the cabability to apply in solving the problem. Whereas for the high category most of the students have understood the similiar concept, the concept that is used and have capability to apply it to solve the problem of the source and target.
PENGEMBANGAN LEMBAR KERJA PESERTA DIDIK BERBASIS HIGH ORDER THINKING SKILLS PADA MATERI HIMPUNAN Gunawan Gunawan; Erni Widiyastuti; Salma Nur Azizah
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 9, No 4 (2020)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (565.798 KB) | DOI: 10.24127/ajpm.v9i4.3157

Abstract

Penelitian ini menghasilkan Lembar Kerja Peserta Didik (LKPD) Matematika bermuatan HOTS. Proses pengembangan LKPD ini menggunakan model-4D yang dikemukakan oleh Thiagarajan yang terdiri dari 4 tahap yaitu pendefinisian, desain, pengembangan, dan uji produk. Subyek yang digunakan adalah siswa kelas VIIISMPNegeri 2 Karanglewas.Teknik pengumpulan data meliputi angket hasil validasi dan kepraktisan. Analisis data yang dipakai meliputi data kualitatif dan kuantitatif. Hasil uji validasi LKPD dari ketiga validator diperoleh skor rata-rata 3,13 yang menunjukkan LKPD valid. Hasil uji kepraktisan LKPD diperoleh rata-rata 3,01 yang berarti praktis. Dengan demikian, LKPD berbasis HOTS materi Himpunan valid dan praktis serta dapat digunakan dalam kegiatan pembelajaran.  Abstract This research produce Mathematics Student Worksheets containing High Order Thinking Skills (HOTS). The process of Student Worksheets development was conducted using the 4D model proposed by Thiagaradjan consisted of 4 stages, namely the stage of define, design, develop, and disseminate. The subjects used were grade VIII students of SMP Negeri 2 Karanglewas. The data technique used was a questionnaire of validation results and practicality. The data analysis used includes qualitative and quantitative data. The Student Worksheets validation test results from the three validators obtained an average score of 3.13 which indicates a valid. LKPD practicality test results obtained an average of 3.01 which means practical. Thus, the student worksheets based HOTS of set material is valid and practical and can be used in learning activities.
ANALISIS KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA MENGGUNAKAN MODEL PEMBELAJARAN TEAM GAMES TOURNAMENT SMA MUHAMMADIYAH 1 PURWOKERTO Desy Puspitasari; Sari Muliawanti; Gunawan Gunawan; Sairan Sairan
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 8, No 1 (2019)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (731.825 KB) | DOI: 10.24127/ajpm.v8i1.1731

Abstract

The purpose of this study is describing the mathematical problem solving ability using the TGT (Teams Games Tournament) learning model for the students of SMA Muhammadiyah 1 Purwokerto. This study uses qualitative research methods using the Miles and Huberman model which includes data reduction, data display, and conclusion (verification/conclusion drawing). The subjects of this study are students of X IPA 1 SMA Muhammadiyah 1 Purwokerto. By using purposive sampling technique, the students of  X IPA 1 were in three groups: the group of low achieving students, the group of medium achieving students, and the group of high achieving students. In each group, three students were selected to become respondents and then analyzed. Data collection methods in this study use questionnaire, tests, interviews, and documentation. From the results of this study, obtained: 1) the students with low achievement have a poor problem-solving ability, 2) the students with medium achievement have a good problem-solving ability, 3) the students with high achievement have great problem-solving skills.
ISOMETRIC AND ISOMETRIC- m OPERATORS Gunawan Gunawan
AKSIOMA: Jurnal Program Studi Pendidikan Matematika Vol 6, No 3 (2017)
Publisher : UNIVERSITAS MUHAMMADIYAH METRO

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (388.971 KB) | DOI: 10.24127/ajpm.v6i3.1081

Abstract

This paper presents the definition, samples, and natures of isometric and isometric- m algebra operator for some  in  Hilbert space. In additions, the relationship of both operators will also be examined. To investigate natures of isometric and isometric- m operators, adjoint operators concepts and natures are required. Adjoint operator concept underlies isometric operator’s natures. Later, according to the concept, isometrc operator is expanded into isometric- m operators for some in Hilbert space. The result unveils algebra natures of isometric and isometric- m operators consisting of composition operators natures and multiplication with scalar. Furthermore, if T operators is isometric then T operators isometric- m for some .
Vocational High School Students' Mathematical Problem-Solving Ability Viewed from Self Confidence Gunawan Gunawan; Dinar Muflihati
AlphaMath : Journal of Mathematics Education Alphamath: Vol. 8, No. 1, May 2022
Publisher : Department of Mathematics Education, Universitas Muhammadiyah Purwokerto, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30595/alphamath.v8i1.12423

Abstract

Problem-solving ability is an essential cognitive aspect of Mathematics. One aspect of improving problem-solving is self-confidence. This study describes the mathematical problem-solving ability regarding the self-confidence of 34 students of class X TKRO 2 SMK Wiworotomo Purwokerto for the academic year 2019/2020. The method used is a descriptive qualitative, quantitative approach. The assessment instruments used include tests and self-confidence questionnaires. Students are grouped into low, medium, and high categories based on a self-confidence questionnaire. Each class was sampled using the purposive sampling technique. Data analysis includes reduction, presentation, and conclusion. The results obtained are high self-confidence, and students have good mathematical problem-solving skills, meaning that they fulfill all aspects of problem-solving. Students with medium self-confidence have good problem-solving skills but cannot provide conclusions at the end of the answer. Meanwhile, low self-confidence is not able to achieve indicators of problem-solving abilities. In addition, self-confidence and problem-solving ability have a positive correlation.
Meningkatkan Kemampuan Pemecahan Masalah Matematis Siswa Sekolah Menengah Pertama (SMP) Menggunakan Model Pembelajaran Group Investigation Gunawan Gunawan; Ardony Misbahul Munir; Lukmanul Akhsani
JKPM (Jurnal Kajian Pendidikan Matematika) Vol 5, No 2 (2020): JKPM (Jurnal Kajian Pendidikan Matematika)
Publisher : Universitas Indraprasta PGRI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30998/jkpm.v5i2.6428

Abstract

Penelitian ini bertujuan untuk meningkatkan kemampuan pemecahan masalah matematis siswa melalui penerapan model pembelajaran Group Investigation (GI). Subyek penelitian adalah siswa kelas VII B SMP Ma’arif NU 1 Ajibarang Tahun Pelajaran 2018/2019 yang berjumlah 32 siswa, terdiri dari 20 laki-laki dan 12 perempuan. Penelitian ini merupakan Penelitian Tindakan Kelas (PTK) yang terdiri dari 3 siklus dimana setiap siklusnya terdiri dari 2 pertemuan. Setiap siklus terdiri dari perencanaan, pelaksanaan tindakan, observasi, refleksi. Instrumen untuk mengukur kemampuan pemecahan masalah matematis siswa menggunakan tes evaluasi yang diberikan pada setiap akhir siklus. Berdasarkan hasil tes diperoleh peningkatan rata-rata setiap siklus sebesar 17,06 dengan rincian nilai rata-rata tes evaluasi siklus I yaitu 61,41 (kriteria baik), nilai rata-rata tes evaluasi siklus II yaitu 74,94 (kriteria baik) dan nilai rata-rata tes evaluasi siklus III yaitu 82 (kriteria sangat baik). Dalam penelitian ini dapat disimpulkan bahwa model pembelajaran Group Investigation (GI) dapat meningkatkan kemampuan pemecahan masalah matematis siswa kelas VII B SMP Ma’arif NU 1 Ajibarang.
KARAKTERISTIK OPERATOR PARANORMAL- * QUASI Gunawan Gunawan; Erni Widiyastuti
Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Vol. 3 No. 1 (2022): Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistik
Publisher : LPPM Universitas Bina Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46306/lb.v3i1.114

Abstract

Given Hilbert space  H  over the fields of  . This study aimed to investigate the paranormal- * quasi operators and their properties in Hilbert space. The study resulted the properties of paranormal- * quasi operators, hyponormal operator, class A operator, Class A- * operator, p- hyponormal operator for p > 0,   - paranormal operators, compact operator, and the relationship between them
JUNIOR HIGH SCHOOL STUDENTS’ CRITICAL THINKING SKILLS BASED ON SELF-RELIANCE LEARNING Gunawan Gunawan; Irfan Saeful Hidayat; Lukmanul Akhsani; Indira Pipit Miranti
Prima: Jurnal Pendidikan Matematika Vol 5, No 1 (2021): Prima: Jurnal Pendidikan Matematika
Publisher : FKIP Universitas Muhammadiyah Tangerang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31000/prima.v5i1.2735

Abstract

The study aims to describe the students ' critical thinking skills reviewed by self-reliance learning. The research methods used are qualitative descriptive. The research subject is a grade VIII A student of SMP Negeri 3 Kalibagor which amounted to 28 people. Sampling is performed using the purposive sampling technique. In one class, selected two students with the category of the self-reliance learned to be seen, three students with the category of the self-reliance began to develop, and two students with a category of self-reliance learning culture. Collection of data using polls, tests, interviews, and documentation. The data analysis techniques used include data reduction, data presentation, and drawing concluding. The validation test used is triangulation. The results showed that more than 80% of the students who had already filled in learning independence poll included categories began to develop. Students of self-reliance category learning culture have a better critical thinking ability compared to the students ' categories begin to look and start developing. However, students with these three learning self-reliance categories do not master the evaluation capability indicator.
OPERATOR SELF ADJOINT PADA RUANG HILBERT Gunawan Gunawan
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 1 No 01 (2015): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1496.991 KB) | DOI: 10.52166/ujmc.v1i01.400

Abstract

In this article, will discuss definition, examples, algebra properties, and somecharacteristic of self-adjoint operators on Hilbert space. In the Hilbert space there are types ofbounded linear operators such as adjoint operators and self-adjoint operators. To investigatecharacteristic of self-adjoint operator required concepts of Hilbert space, operators on Hilbertspaces, Riesz representation theorem, and adjoint operators on Hilbert space. It then takes athought to investigate the characteristic of self-adjoint operators. Discussion of self-adjointoperators more emphasis on understanding the definition, algebra properties, and characteristic ofself-adjoint operators on Hilbert space. The results obtained are algebra properties of self-adjointoperators such as addition, subtraction, scalar multiplication, and multiplication of self-adjointoperators. In addition, some characteristic associated with self-adjoint operators on Hilbert space.
TEOREMA WEYL UNTUK OPERATOR HYPONORMAL Gunawan Gunawan
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 3 No 1 (2017): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (282.96 KB) | DOI: 10.52166/ujmc.v3i1.456

Abstract

This paper aims at describing the natures of Hyponormal operator to secure the existence of Weyl’s theorem. The discussion on Weyl’s theorem requires definitions of compact, Fredhlom, and Weyl’s operator. In addition, samples and natures of compact and Fredhlom operator in Hilbert space will also be observed.