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All Journal Journal of Mathematics and Mathematics Education (JMME) Jurnal Pembelajaran Matematika
Mardiyana Mardiyana
Prodi Magister Pendidikan Matematika, Pascasarjana, FKIP – UNS
Education Mathematics

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PENGEMBANGAN BUKU ELEKTRONIK TRIGONOMETRI DENGAN MENGINTEGRASIKAN PENALARAN MATEMATIS, TEKNOLOGI, SEJARAH, DAN APLIKASI TRIGONOMETRI Ika Wulandari; Mardiyana Mardiyana; Tri Atmojo Kusmayadi
Jurnal Pembelajaran Matematika Vol 3, No 4 (2015): Pembelajaran Matematika
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Abstract: This research aimed (1) to formulate the need of trigonometric book content, (2) to develop prototype into trigonometric electronic book, and (3) to find out the result of evaluation on the feasibility of electronic book developed for teachers’ candidates, teachers, and trigonometric instructors. A research and development method was used to provide a trigonometric electronic book. This method encompassed the following stages: (1) exploring: analyzing library study and case study, (2) developing: designing the product until it became a trigonometric electronic book, and (3) evaluating: studying  the feasibility of trigonometric electronic book. The results were reveals as follows: 1) The identification of trigonometric content should pay attention to: (a) geometric reasoning and understanding such as: symbol, distance, pythagorean theorem, circle, triangle, angle, and pi concept, (b) function reasoning and understanding such as: representation (numeric, chart, symbolic/algebraic, verbal), and representation interrelationship, (c) trigonometric function reasoning and understanding such as: definitions of function based on unit circle, based on right triangle side ratio, multiple representation and property in trigonometric main function, (d) history and the chronology of trigonometric function inception, and (e) the application of trigonometric function in real world. 2) The development of prototype into trigonometric electronic book was conducted with the following procedures: (a) design analysis based on the identification of book content need, (b) the development of book content, (c) the alignment of illustration, chart, table, game, video and layout, (d) designing the application (.exe), electronic book pdf and html, 3) Expert judgment: material expert rated 4.07 (Good), media expert rated 4.03 (Good). The result of evaluation showed that: (a) in Trial I, the product users’ candidates rated 4.95 (Very Good) for material aspect and 4.8 (Very Good) for media aspect, (b) in Trial II, the product users’ candidates rated 4.79 (Very good) for material aspect, and 4.61 (Very Good) for media aspect. Considering the result of feasibility test of materials and media expert, trials I and II for feasibility test of users’ candidates, this trigonometric electronic book was feasible to be used as the handout for the students as teachers’ candidates, teachers, and trigonometric instructors.Keywords: trigonometric electronic book, mathematic reasoning, technology, history, and trigonometric application.
PENGEMBANGAN PERANGKAT PEMBELAJARAN MATEMATIKA BERORIENTASI MODEL PEMBELAJARAN CREATIVE PROBLEM SOLVING (CPS) PADA MATERI TURUNAN UNTUK SISWA KELAS IX IPA PROGRAM AKSELERASI Sumanah Sumanah; Mardiyana Mardiyana; Riyadi Riyadi
Jurnal Pembelajaran Matematika Vol 2, No 6 (2014): Pembelajaran Matematika
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Abstract: The purposes of this study were: (1) to develop a valid mathematics learning set which is oriented to Creative Problem Solving (CPS) learning model in the topic of derivative on  XI Acceleration grade, and (2) to determine which learning model produces better learning achievement,  the developing CPS or the conventional model in the topic of derivative on XI Acceleration grade. The development of learning set in this study were observed from five aspects, they are: (1) the expert's validity, (2) the students' activity, (3) the teacher's capability in managing teaching and learning process, (4) the students' response to the learning process, and (5) the students' mathematics learning  achievement. This study was a development study of learning set done by applying a modified 4-D Thiagarajan model. There were three phases involved in this study; i.e. defining, designing, and developing. The subjects of the study were the students of SMA N 1 Pati grade XI acceleration year 2013/2014 as the experiment class and the students of SMA 1 Kudus grade XI acceleration year 2013/2014 as the control class. The data was collected by using validation sheet of learning set, observation sheet of teacher's capability in managing teaching and learning process, observation sheet of students' activity, students'response questionnaire, and test of students' learning achievement. Data analysis was done by descriptive and inferential statistics. The learning set produced is valid, because it has been validated with high score, that is 4.41 and after finishing the experiment, the results fulfill the pre-requirements, defined as follows: it leads to productive students' activity with average score of 4,25 having a positive effect, teacher's capability in managing teaching and learning process is very good with the score above 4,20, students' response toward the teaching and learning process is positive with the precentage above 80%, and learning achievement test is proven to be valid, reliable. Moreover, the teaching and learning process with CPS model with developing learning set is effective, because the experiment showed that the average score of learning achievement of the student is better than the conventional model.Keywords : Creative Problem Solving (CPS), The learning  set
KSPERIMENTASI PENDEKATAN PEMBELAJARAN RECIPROCAL TEACHING DENGAN ALAT PERAGA PADA POKOK BAHASAN LINGKARAN DITINJAU DARI KREATIVITAS SISWA Faradila Thalib; Mardiyana Mardiyana; Sutrima Sutrima
Jurnal Pembelajaran Matematika Vol 4, No 3 (2016): Pembelajaran Matematika
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Abstract: This research aims at revealing:(1) which one results better learning achievement on the subject of circle among Reciprocal Teaching with Learning Tools, Reciprocal Teaching, and conventional approach; (2) which one has better mathematics learning achievement among students with high, average, or low creativity; (3) at each of creativity levels (high, average, and low), which one results better learning achievement on the subject of circle among Reciprocal Teaching with Learning Tools, Reciprocal Teaching, and conventional apprroach; (4) at each of teaching approaches (Reciprocal Teaching with Learning Tools, Reciprocal Teaching, and conventional approach), which group of students has better learning achievement among groups with high, average, or low creativity. This research was quasi-experimental research which employs 3 x 3 factorial design. The population of this research was all of the eleventh grade students of State Junior High Schools in Ternate. The sampling technique used was stratified cluster random sampling. There were 178 students selected as the sample of this research. Based on the research findings, it can be concluded that: (1) students taught by Reciprocal Teaching with Learning Tools have better mathematics learning achievement than those taught by Reciprocal Teaching, students taught by Reciprocal Teaching have better mathematics learning achievement than those taught by conventional approach, and students taught by Reciprocal Teaching have better mathematics learning achievement than those taught by conventional teaching; (2) students with high, average, and low creativity have the same mathematics learning achievement; (3) at each of creativity levels (high, average, and low), Reciprocal Teaching with Learning Tools results better mathematics learning achievement than Reciprocal Teaching and conventional approach do, and Reciprocal Teaching results better mathematics learning achievement than conventional approach does; (4) at each of teaching approaches (Reciprocal Teaching with Learning Tools, Reciprocal Teaching, and conventional approach), students with high, average, and low creativity have the same mathematics learning achievement.Keywords: Reciprocal Teaching with Learning Tools, Reciprocal Teaching, Conventional Approach, Creativity, Mathematics Learning Achievement.
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE STRUCTURED NUMBERED HEADS (SNH) DAN PROBLEM BASED LEARNING (PBL) DENGAN PENDEKATAN SAINTIFIK PADA MATERI POKOK BILANGAN DITINJAU DARI KEMANDIRIAN BELAJAR SISWA KELAS VII SMPN DI KABUPATEN KEBUMEN Muslikhah Muslikhah; Mardiyana Mardiyana; Dewi Retno Sari Saputro
Jurnal Pembelajaran Matematika Vol 4, No 5 (2016): Pembelajaran Matematika
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Abstract: The aim of the research was to determine the effect of learning models on mathematics achievement viewed from students self regulated learning (SRL). The learning model compared were SNH with scientific approach, PBL with scientific approach and classical with scientific approach. This research used quasi-experimental research  with 3x3 factorial design. The population were all seventh grade students of SMPN  in Kebumen on academic year 2014/2015. This research used stratified cluster random sampling technique and sample consisted of students of SMPN 3 Kebumen, SMPN 7 Kebumen, SMPN 1 Sruweng. The instruments used were documentation, questionnaire, and test. The data analysis technique was used unbalanced two ways anova at the significance level of 0.05. Based on the data analysis, it can be concluded as follows. (1) SNH with scientific approach gives better achievement than PBL and classical with scientific approach, and PBL with scientific approach gives better achievement than classical with scientific approach. (2) Students who have high SRL have better achievement than students who have medium and low SRL,  students who have medium SRL have better achievement than students who have low SRL. (3) For SNH with scientific approach, students who have high and medium SRL have the same achievement, students who have high SRL have better achievement than students who have low SRL, students who have  medium and low SRL have the same achievement. For PBL and classical with scientific approach students who have high SRL have the same achievement with students who have medium and low SRL, students who have medium and low SRL have the same achievement. (4) For high SRL of the students, SNH and PBL with scientific approach gives the same achievement, SNH with scientific approach gives better achievement than classical with scientific approach, PBL and classical with scientific approach gives the same achievement. For medium and low SRL of the students, SNH with scientific approach gives the same achievement with PBL and classical with scientific approach, PBL and classical with scientific approach gives the same achievement.Keywords: SNH, PBL, Scientific Approach, Self Regulated Learning (SRL) 
KARAKTERISTIK BERPIKIR MATEMATIS SISWA SMP MAJELIS TAFSIR AL-QUR’AN (MTA) GEMOLONG DALAM MEMECAHKAN MASALAH MATEMATIKA PADA MATERI SISTEM PERSAMAAN LINEAR DUA VARIABEL (SPLDV) DITINJAU DARI KEMAMPUAN PENALARAN SISWA DAN GENDER Agus Supriyanto; Mardiyana Mardiyana; Sri Subanti
Jurnal Pembelajaran Matematika Vol 2, No 10 (2014): Pembelajaran Matematika
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Abstract: The aims of this research were to know and to describe mathematical thinking characteristic of grade VII students of SMP MTA Gemolong in solving mathematic  problems at linear equation of two variables (LETV) observed from the reasoning capability and gender. This research belonged to descriptive research with qualitative explorative approach. The sample was taken by using purposive sampling technique. There were six samples used in this research. The category of the sample based on this reasoning ability was taken by reasoning test and space field test. There were two types of instruments that were used in this research to collect the data. The first was solving problem test instrument, and the second was interview guidance. Validation test of the data that was used in this research was time triangulation test. The results of this research indicated as follows. (1) The characteristic of mathematical thinking of male and female students with high reasoning ability in solving problems did not complete the phases of mathematical thinking, but it completed in the reproduction and connection phase. Whereas in analysis phaseit was not completed. (2) The characteristic of mathematical thinking of male and female students with intermediate reasoning ability in solving problems did not complete the phases of mathematical thinking, but it completed in the reproduction and the connection phase.  Whereas in analysis phase, it was not completed. (3) The characteristic of mathematical thinking of male and female students with low reasoning ability in solving problems did not complete the phases of mathematical thinking, but it completed in the reproduction phase. Whereas in the connection and analysis phase, it was not completed.Keywords: mathematic thinking, solving problem, reasoning ability, gender
EKSPERIMENTASI MODEL PROBLEM BASED LEARNING DAN DISCOVERY LEARNING PADA MATERI PERBANDINGAN DAN SKALA DITINJAU DARI SIKAP PESERTA TERHADAP MATEMATIKA DIDIK KELAS VII SMP KABUPATEN KLATEN TAHUN PELAJARAN 2013/2014 Puji Rahayu; Mardiyana Mardiyana; Dewi Retno Sari S
Jurnal Pembelajaran Matematika Vol 3, No 3 (2015): Pembelajaran Matematika
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Abstrack: The aims of this research were to determine: (1) the better students’ achievement in learning by using Problem Based Learning (PBL), Discovery Learning (DL) or direct learning models (2) the better students’ achievement among the students who have positive, neutral or negative attitude (3) the better students’ achievement in each category attitude, in learning by using PBL, DL or direct learning models (4) the better students’ achievement in each learning model, among the students who have positive, neutral or negative attitude. This research used a quasi-experimental research with the population of seventh grade students of Junior High Schools in Klaten Regency which have implemented curriculum 2013 in the Academic Year 2013/2014. The sampling technique used stratified cluster random sampling and three schools selected namely SMPN 1 Delanggu, SMPN 1 Prambanan and SMPN 2 Wedi.  Two-way variance analysis was used to test the hypothesis, followed by scheffe’ technique. Considering the result of analysis, the following conclusion could be drawn. (1) The students’ achievement who learnt by using DL was better than PBL and direct learning models. The students’ achievement who learnt by using PBL were similar to direct learning models. (2) The students’ achievement with positive attitude was better than neutral and negative attitude. The students’ achievement with neutral attitude was better than negative attitude. (3) In the positive and neutral attitude, the students’ achievement who learnt by using PBL, DL and direct learning models were similar. In the negative attitude, the students’ achievement who learnt by using DL model were better than PBL and direct learning models and the students’ achievement who learnt by using PBL and direct models were similar. (4) In learning by using PBL, the students’ achievement with positive attitude were better than negative one, the positive and neutral attitude ware similar and the neutral and negative attitude were similar too. In learning by using DL, the student’s achievement with positive, neutral and negative attitude were similar. In learning by using direct learning, the students’ achievement with positive attitude were better than the negative one, the positive and neutral attitude were similar and the neutral and negative attitude were similar too.Keywords: Problem Based Learning, Discovery Learning, students’ Attitude, achievement of mathematics.
EKSPERIMENTASI MODEL PEMBELAJARAN GROUP INVESTIGATION (GI) YANG DIMODIFIKASI PADA MATERI BANGUN RUANG SISI DATAR DITINJAU DARI KEMANDIRIAN BELAJAR SISWA KELAS VIII SMP NEGERI SE-KABUPATEN PACITAN TAHUN PELAJARAN 2013/2014 Budi Sasomo; Mardiyana Mardiyana; Dewi Retno Sari S
Jurnal Pembelajaran Matematika Vol 3, No 4 (2015): Pembelajaran Matematika
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Abstract: This aim of the research was to know the effect of learning models on mathematics achievement viewed from the student learning independency. The learning model compared were modified GI, GI and direct learning. This research  was a quasi experimental with the factorial design of 3x4. The population of this research was all students class VIII in SMP Negeri in Pacitan regency. The sampling technique used was stratified cluster random sampling. Hypotheses testing was performed using two-way analysis of variance with unequal cells. Based on the results of hypotheses testing, it were concluded that: 1) modified GI learning model give better achievement than GI and direct learning, while GI learning model and direct learning gave the same achievement. 2) Students with independent type have better achievement than students with individualistic type, conscientious type and self-conscious type, students with individualistic type have better achievement than students with conscientious type and self-conscious type, students with conscientious type and self-conscious type have the same achievement. 3) For all of learning independency type, modified GI learning model give better achievement than GI learning model and direct learning, GI learning model and direct learning give the same achievement.  4) For all of learning models,  students with independent type, individualistic type, conscientious type and self-conscious type have the same achievement.Keywords: Modified Group Investigation (GI), student learning independency. 
EKSPERIMENTASI MODEL PEMBELAJARAN PROBLEM POSING DAN PROBLEM SOLVING PADA MATERI TRIGONOMETRI DITINJAU DARI KREATIVITAS PESERTA DIDIK KELAS XI IPA SMA SE-KABUPATEN KUDUS TAHUN PELAJARAN 2013/2014 Sugihardjo Sugihardjo; Mardiyana Mardiyana; Riyadi Riyadi
Jurnal Pembelajaran Matematika Vol 2, No 5 (2014): Pembelajaran Matematika
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Abstract: The aim of this research was to determine the effect of learning models on mathematics achievement and learning interest viewed from the students creativity. The learning model compared were problem posing, problem solving and direct instruction. The type of the research was a quasi experimental research with factorial design 3 x 3. The population was the students of senior high school in Kudus regency on academic year 2013/2014. The size of the sample was 278 learnes consisted of 98 students in the first experimental class, 81 students in the second experimental class and 99 students in the control class. The instrument used were mathemathics achievement test and questioner. The data was analyzed using analysis variance of two ways with unbalanced of cell. The conclusions of the research were as follows. (1) Problem solving model has better learning achievement than problem posing and direct instruction. Students who were taught by problem posing has better learning achievement than direct instruction, (2) Students who have high learning creativity have the same learning achievement as students who have the medium creativity. Students who have high learning creativity have better learning achievement than students who have low creativity. Students who have medium learning creativity have the same learning achievement as students who have low creativity, (3) Students having high and low creativity that used problem posing, problem solving, and direct instructional model have the same achievement. While students having medium creativity that used problem solving model have better achievement than students that used direct instructional model, but students that used problem posing and problem solving model have the same achievement, and the students that used problem posing and direct instructional model have the same achievement, (4) In each category of learning model, students with high creativity, medium and low have the same learning achievement. Key Words: Problem Posing, Problem Solving, Direct Instruction, Learning Creativity
EKSPERIMENTASI PEMBELAJARAN MATEMATIKA MENGGUNAKAN MEDIA KOMPUTER PADA MATERI POKOK PERSAMAAN GARIS LURUS DITINJAU DARI MOTIVASI BELAJAR SISWA KELAS VIII SMP SURAKARTA Hirtanto Hirtanto; Mardiyana Mardiyana; Imam Sujadi
Jurnal Pembelajaran Matematika Vol 3, No 8 (2015): Pembelajaran Matematika
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Abstract: The purposes of this research were to determine: 1) which students have better achievement in learning mathematics among Macromedia Flash and PowerPoint used as learning media 2) which students have better achievement in learning mathematics, ones with high, medium, or low learning motivation, 3) at each leaning by using media (Macromedia Flash and PowerPoint) which students have better achievement in learning mathematics, ones with high, medium, or low learning motivation, 4) at each of categories of learning motivation (high, medium, and low) which students have better achievement in learning mathematics, ones who are use Macromedia Flash or PowerPoint as learning media. The research was a quasi experimental. The population of this research was all students of grade VIII Junior High School of the Surakarta City, academic year 2011/2012. The samples in this research were 177 students taken by stratified cluster random sampling. Instruments used to collect data were mathematics achievement instrument test and questionnaires of student’s learning motivation instrument. Data analysis technique used hypothesis test with two-way analysis of variance with unbalanced cells resume test of multiple comparisons. From the results of the analysis, can be concluded that: 1) the learning achievement in mathematics of the students who were learning mathematics with macromedia flash were better than with powerpoint as learning media, 2) the learning achievement in mathematics of the students with the high learning motivation were better than the ones with the medium and low learning motivation, however the students with the medium  learning motivation were better  than the ones with the low learning motivation, 3) in students with high learning motivation, students who use macromedia flash have a learning achievement were better than using powerpoint. Students with medium and low learning motivation have the same learning achievement, using either the macromedia flash or powerpoint, 4) in mathematics learning with macromedia flash, students who have high motivation have better math achievement of students with medium and low motivation. But the students who have medium and low motivation the achievement were equally as good. In mathematics learning used powerpoint, students who have high, medium and low learning motivation have the same learning achievement.Keywords: Learning, Macromedia Flash, PowerPoint, Motivation, Achievement Learning Mathematics.
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE THINKING ALOUD PAIRS PROBLEM SOLVING (TAPPS) DAN TEAMS ASSISTED INDIVIDUALIZATION (TAI) DENGAN PENDEKATAN SAINTIFIK PADA MATERI OPERASI ALJABAR DITINJAU DARI GAYA BELAJAR SISWA Marchamah Ulfa; Mardiyana Mardiyana; Dewi Retno Sari Saputro
Jurnal Pembelajaran Matematika Vol 4, No 2 (2016): Pembelajaran Matematika
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Abstract: The objective of research was to know the effect of learning models on mathematics learning achievement viewed from the student learning style. The learning models compared were TAPPS, TAI and classical with scientific approach. This research used the quasi experimental method. The population was the students of junior high school in Surakarta regency on academic year 2014/2015. The tecnique of taking sample was stratified cluster random sampling. The size of the sample was 291 students. The instruments used were examination test and learning styles test. The proposed hypothesis were analyzed using the unbalanced two-way analysis of variance. The conclusions were as follows. 1) TAPPS with scientific approach have better mathematics achievement than TAI and classical with scientific approach, TAI and classical with scientific approach have the same achievement. 2) auditory students have better mathematics achievement than visual and kinesthetic students, visual and kinesthetic students have the same achievement. 3) In TAPPS with scientific approach, auditory students have better achievement than visual students, kinesthetic studentshave the same achievement as visual and auditory students. In TAI with scientific approach, auditory students have better achievement than visual and kinesthetic students, visual and kinesthetic students have the same achievement. In classical with scientific approach, auditory students have the same achievement as visual and kinesthetic students, visual students have better achievement than kinesthetic students. 4) In visual students, TAPPS with scientific approach have the same achievement as TAI and classical with scientific approach,  classical with scientific approach have better achievement than TAI with scientific approach. In auditorial students, TAPPS and TAI with scientific approach have the same achievement, TAPPS and TAI with scientific approach have better achievement than classical with scientific approach. In kinesthetic students, TAI with scientific approach  have the same achievement as TAPPS and classical with scientific approach, TAPPS with scientific approach have better achievement than classical with  scientific approach.Key words: TAPPS, TAI, classical, scientific approach, learning styles, achievement of learning.
Co-Authors Abdul Aziz KH Addin Zuhrotul ‘Aini Agung Putra Wijaya Agus Supriyanto An Nur Ami Widodo Anggrahini Anggrahini Annisa Swastika Arsa’ad Kurniadi Aulia Ar Rakhman Awaludin Berti Okta Sari Budi Sasomo, Budi Budi Usodo Dewi Retno Sari S Dewi Retno Sari Saputro Dian Ratna Ariyani Eka Fitria Ningsih Endang Sri Handayani Faradila Thalib Gatut Iswahyudi Harlinda Fatmawati Heri Cahyono Hirtanto Hirtanto Ika Wulandari Imam Sujadi Intan Novia Sari Isna Nur Lailatul F Isnandar Slamet Kristin Yulianti Marchamah Ulfa Mika Ambarawati Muslikhah Muslikhah Nanndo Yannuansa Nastiti Rahayu Noviana Sukma Dewi Nur Ikawati Pradipta Annurwanda Prihastini Oktasari Putri Puji Rahayu Rahman Haryadi Ratnasari Ratnasari Rini Dewi Safitri Riyadi Riyadi Ronald Manibuy Santi Widyawati Sri Subanti Stefy Erlinda Novalia Sugihardjo Sugihardjo Sumanah Sumanah Suprapto Suprapto Suryanto Suryanto Sutrima Sutrima Suyono Suyono Tri Atmojo Kusmayadi Tri Silaningsih Triyanto, Triyanto Wahyu Utomo Wawan Wawan Westi Bilda, Westi Widyana Wahyuningtyas YAFITA ARFINA MUTI Yolan Kusumaningtyas Yustinus Murdoko Zaotul Wardi