Jurnal Pembelajaran Matematika
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EKSPERIMENTASI PEMBELAJARAN MATEMATIKA DENGAN MODEL PEMBELAJARAN KOOPERATIF JIGSAW DAN TEAMS GAMES TOURNAMENT (TGT) DITINJAU DARI KECERDASAN INTRAPERSONAL SISWA
Abstract. The aims of the research were to determine: (1) which one has better learning achievement, Jigsaw learning model, TGT, or conventional, (2) which one has better learning achievement, students with high, middle or low intrapersonal, (3) based on learning model, which one has better learning achievement, students with high, middle, or low intrapersonal intelligence, (4) based on intrapersonal intelligence, which one has better learning achievement, Jigsaw learning model, TGT, or conventional. The type of the research was a quasi-experimental research with a 3 x 3 factorial design. The population was XI science students of Senior High School in Kudus regency on academic year 2013/2014. Sampling was done by stratified cluster random sampling. The size of the sample were 277 students consisted of 95 students in the first experimental group, 87 students in the second and 95 for the control class. The instruments used were mathematics achievement test and intrapersonal intelligence questionnaire. The hypotheses testing used unbalanced two ways ANOVA. Based on hypothesis testing, it can be concluded as follow. (1) Student learning achievement treated by TGT is better than Jigsaw and conventional, and Jigsaw model is better than conventional, (2) Learning achievement of students who have high intrapersonal intelligence is better than students who have middle and low intrapersonal intelligence, and students who have middle intrapersonal intelligence is better than students who have low intrapersonal intelligence, (3) Based on all types of learning models, students who have high intrapersonal intelligence have better learning achievement than students who have middle and low intrapersonal intelligence, and students who have middle intrapersonal intelligence have better learning achievement than student who have low intrapersonal intelligence. (4) For high intrapersonal intelligence, students learning achievement treated by TGT is better than Jigsaw, for both learning models, Jigsaw and conventional have the same learning achievement. For middle intrapersonal intelligence, students learning achievement treated by TGT is better than conventional, while both learning models, Jigsaw and conventional have the same learning achievement. For low intrapersonal intelligence, conventional and TGT are better than Jigsaw, while both learning models, TGT and conventional have the same learning achievement.Keywords: Jigsaw, TGT, intrapersonal intelligence, learning achievement.
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE GROUP INVESTIGATION (GI) DAN NUMBERED HEADS TOGETHER (NHT) PADA MATERI GARIS SINGGUNG LINGKARAN DITINJAU DARI KECERDASAN MAJEMUK SISWA KELAS VIII SMP NEGERI SE-KOTA MADIUN TAHUN AJARAN 2013/2014
Abstract: The aims of this research were to know: (1) which one of the learning models gave a better achievement among NHT model, GI model, and direct model, (2) which one had a better achievement among the students with mathematic-logic intelligence, interpersonal intelligence, and linguistic intelligence, (3) at each of the learning models, which one had a better achievement among the students with mathematic-logic intelligence, interpersonal intelligence, and linguistic intelligence, (4) on each multiple intelligence, which one of the learning models gave a better achievement among NHT model, GI model, and direct model. The research used was quasi experimental research with 3´3 factorial design. The population of this research was all eighth grade students of Junior High School at Madiun city. The sample of this research was selected by stratified cluster random sampling technique. The sample consisted of 246 students from SMPN 4 Madiun, SMPN 6 Madiun, and SMPN 11 Madiun. The instruments used to collect the data were a questionnaire of multiple intelligences and learning mathematics achievement test. The data analysis technique used was unbalanced two ways analyze of variance. The result of the research are: (1) NHT model gave better achievement than GI model and direct model; GI model gave better achievement than direct model; (2) students with mathematic-logic intelligence had better achievement than those of students with interpersonal intelligence and linguistic intelligence; students with interpersonal intelligence had the same achievement as students with linguistic intelligence, (3) at NHT model, students with mathematic-logic intelligence, interpersonal intelligence, and linguistic intelligence had the same achievement; at GI model, students with mathematic-logic intelligence had the same achievement as students with interpersonal intelligence, students with mathematic-logic intelligence had better achievement than students with linguistic intelligence, students with interpersonal intelligence had the same achievement as students with linguistic intelligence; at direct model, students with mathematic-logic intelligence had better achievement than students with interpersonal intelligence, students with mathematic-logic intelligence had better achievement than students with linguistic intelligence, students with interpersonal intelligence had the same achievement as students with linguistic intelligence, (4) at mathematic-logic intelligence, NHT model gave the same achievement as GI model, NHT model gave better achievement than direct model, GI model gave the same achievement as direct model; at interpersonal intelligence, NHT model gave the same achievement as GI model, NHT model gave better achievement than direct model, GI model gave better achievement than direct model; at linguistic intelligence, NHT model gave better achievement than GI model, NHT model gave better achievement than direct model, GI model gave the same achievement as direct model.Keywords: GI , NHT , Multiple Intelligence
EKSPERIMENTASI PENDEKATAN PEMBELAJARAN PENDIDIKAN MATEMATIKA REALISTIK INDONESIA DAN PENDEKATAN PEMBELAJARAN KONSTRUKTIVISME MENGGUNAKAN TEKNIK HYPNOSIS IN TEACHING PADA MATERI GEOMETRI SISWA KELAS VII MTs DI KABUPATEN PONOROGO
ABSTRACT:. This research aimed to know: (1) which one gives better mathematics learning achievement, Indonesian Realistic Mathematics Education (IRME) learning approaches, constructivism learning approach using hypnosis in teaching technique or conventional learning approaches, (2) which one gives better mathematics learning achievement, students who have visual, auditory or kinesthetic learning styles, (3) in each of the learning approach, which one gives better mathematics learning achievement, students with visual learning styles, auditory or kinesthetic; (4) in each of the student’s learning styles, which one gives better mathematics learning achievement, IRME learning approaches, constructivism learning approach using hypnosis in teaching technique or conventional learning approaches. This research used the quasi experimental research method with a 3x3 factorial design. Its population was the students in VII Grade of MTs in Ponorogo. The data samples of the research were taken by using the stratified cluster random sampling technique. The data collection tehnique used documentation, questionnaire, and test method. The documentation was used to know the scores of mathematics in Elementary School National Examination, and was used for balance test among the classes IRME learning approach, constructivism learning approach using hypnosis in teaching technique, and conventional learning approaches. The questionnaire method was used to determine the student's learning style, while the test method was used to determine student’s achievement in mathematics subject rectangle. The data of the research were analyzed by using the unbalanced two-way analysis of variance at the level of significance is 5%. The results of study showed that: (1) use of IRME learning approaches on learning the material rectangle gives mathematics achievement better than the constructivism learning approach using hypnosis in teaching technique and conventional learning approaches, while the constructivism learning approach using hypnosis in teaching technique gives mathematics achievement better than the conventional learning approach; (2) the three types of learning styles, visual, auditory, and kinesthetic provide the same effect on mathematics achievement; (3) in each of the learning approach, the three types of learning styles, visual , auditory, and kinesthetic provide the same effect on mathematics achievement; (4) on the various types of student’s learning styles, the use of IRME learning approaches in the learning of material rectangle gives mathematics achievement better than the constructivism learning approach using hypnosis in teaching technique and conventional learning approaches, while the constructivism learning approach using hypnosis in teaching technique gives mathematics achievement better than conventional learning approaches.Keywords: learning approach, IRME, constructivist, hypnosis in teaching, conventional, learning style
PENGEMBANGAN PERANGKAT PEMBELAJARAN MATEMATIKA BERBAHASA INGGRIS BERDASARKAN TEORI KECERDASAN MAJEMUK (MULTIPLE INTELLIGENCES) PADA MATERI BALOK DAN KUBUS UNTUK KELAS VIII SMP
Abstract : This research aimed to produce and describe the process and the result of the development of Mathematics learning set in English, based on the multiple intelligences theory on topic of cuboid and cube. This research was conducted in seventh grade of SMPN 1 Ngadirojo, SMP N 3 Ngadirojo, and SMPN 2 Ngadirojo that each of those has 32 students. This research was developmental study, i.e. the development of learning set based on the multiple intelligences theory as mentioned above. The development model that’s used refers to the Tjeerd Plomp one. Based on the conducted research, there were some conclusions as the followings (1) The process of the development of Mathematics learning set in English, based on the multiple intelligence theory: (a) The initial investigation phase obtained supporting theories for learning set development such as multiple intelligence theory by Gardner, Armstrong, and Bellanca, 2013 curriculum investigation that mandates to involve the multiple intelligences in Mathematics learning, students’ condition investigation that have various dominant intelligent. (b) The design phase obtained the developed learning set, i.e. lesson plan, student text book, student work sheet, and assessment sheet arranged in English, research instrument plan that consists of learning equipment validation sheet, observation sheet of learning implementation, observation sheet of students’ multiple intelligences involvement activity, and students’ response questionnaire. (c) On the realization phase, it’s arranged the learning set and research instrument. (d) On the test, evaluation, and revision phase, the learning set and limited trial were validated. (2) The result of development of Mathematics learning set in English, based on multiple intelligences theory: (a) The validity of learning set on lesson plan was 3.96, student text book 3.72, student work sheet 4.02, and assessment sheet 3.86. (b) The developed learning set could be used with a little revision and the average of learning implementation was 4.22. (c) This developed learning set could be said that it has been effective because the students’ multiple intelligences involvement activity reached 89,46% and the students’ responses were positive. Although the classical thoroughness was not achieved because only 35.42% of students met the minimal achievement criteria.Keywords : Mathematics Learning Set in English Based, Multiple Intelligences, cube and cuboid.
PROSES INTEGRASI SIKAP DALAM PEMBELAJARAN MATEMATIKA SMP BERDASARKAN KURIKULUM 2013 (Studi Kasus pada Proses Pembelajaran Kelas VII SMP Al Azhar Syifa Budi Solo Semester Ganjil Tahun Pelajaran 2013/2014)
Abstract: The objective of this research was to describe the integration process and attitude assessment done by the teacher in mathematics learning process at seventh grade of SMP Al Azhar Syifa Budi Solo. This qualitative research was a case study. The subjects of this research were a teacher and three seventh grade students of SMP Al Azhar Syifa Budi Solo. The data of integration process was in the form of activity within mathematics learning process supported by the subjects’ statement. Data analyzing process began by assessing all data available in the recorder, which includes the learning process and interview. There were three steps in analyzing the data: data reduction, data presentation, and drawing conclusion. Information of attitude assessment was in the form of information gathering activity conducted by the teacher to the students. The data were obtained from the transcription of recorded interview and learning process. Validation techniques used were perseverance maintenance and time triangulation. The results of this research are as follows: 1) Integration process of attitude in mathematics learning at seventh grade of SMP Al Azhar Budi Syifa Solo based on Curriculum 2013. During observation learning process, the teacher asks the students to observe objects and events in daily life related to mathematics learning topic. During question and answer learning process, the teacher gives questions to the students and provides them chance to ask questions. During information gathering process, the students were asked to discuss a certain concept, to read a book and to discuss it, to examine, to explain, and to solve a problem. During associating learning process, the teacher asks the students to analyze, to associate, and to define in details the learning topic. Lastly, during communicating learning process, the teacher helps the students to summarize the material comprehensively. 2) Process of attitude assessment during mathematics learning at seventh grade of SMP Al Azhar Syifa Budi Solo are: the process of curiosity assessment was conducted by the teacher when the students solved the problems related to the materials; the process of responsibility assessment was conducted by the teacher when the students solved the problems and when the students present the result of their discussion in front of the class. The assessment of curiosity and responsibility were conducted by giving checklist mark on the attitude observation sheet.Key Words: integration process of attitude, attitude assessment process, curiosity,responsibility, curriculum 201
ANALISIS PROSES PENGINTEGRASIAN PENDIDIKAN KARAKTER DALAM PEMBELAJARAN MATEMATIKA KELAS X ILMU ALAMSMA NEGERI 1 SURAKARTA TAHUN AJARAN 2013/2014
Abstract: The purposes of this research were to: (1) describe the process of integrating the characteristic values of disciplinary, creative, critical thinking, inquiring, and thorough in learning mathematics at the tenth of science class SMA Negeri 1 Surakarta, and (2) describe the students’ opinion of the tenth of science class SMA Negeri 1 Surakarta about the integration of the characteristic values of disciplinary, creative, critical thinking, inquiring, and thorough in learning mathematics. Qualitative research was applied in this research. The subject of the research are students and a mathematics teacher of the tenth grade of SMA Negeri 1 Surakarta. The source of data was taken from informants (teacher and students), documentation (lesson plan), and learning activity. Data collection was taken by using interview, observation, and documentation. Data validity used the source of triangulation. Data analysis used Miles and Huberman’s concept that are data collection, data reduction, presenting the data, and drawing the conclusion. The result of the research showed as follows. (1) Integrating character education of discipline, teacher did it implicitly (being a model) and explicitly (giving an urge). To integrate the critical character, teacher associates learning with daily life and guiding students analyse the information obtained or given to the students. Creative character done by the teacher in integrating for learning mathematics was to developed active classroom and informed with gave the opportunity for students to express their ideas in solving problems of mathematics questions. The integration of inquiring character in learning mathematics was not visible. To integrate thorough character, teacher planted thorough character by giving the test and urging the students to recheck the result of their works, listen carefully to what the teacher had said. (2) According to students’ opinion, teacher had planted the character of disciplinary, creative, critical thinking, inquiring, and thorough. However, there was no explanation about the character of inquiring because the test given was the standard questions so that it cannot encourage students to have inquiry.Keywords: Process analysis, character education, learning mathematic
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE TEAMS GAMES TOURNAMENT DAN STUDENT TEAMS ACHIEVEMENT DIVISION BERBANTUAN MEDIA GEOGEBRA PADA MATERI PROGRAM LINEAR DITINJAU DARI KREATIVITAS BELAJAR SISWA KELAS XII IPA SMA NEGERI SE-KABUPATEN KUDUS
ABSTRACT: The objectives of this research were to investigate: (1) which learning model of the Geogebra-based TGT type, the Geogebra-based STAD type, and direct learning model results in a better learning achievement in the topic of Linear Program; (2) which students of those with the high learning creativity, those with the medium learning creativity, and those with the low learning creativity have a better learning achievement in the topic of Linear Program; (3) in each learning model, which students of those with the high learning creativity, those with the medium learning creativity, and those with the low learning creativity have a better learning achievement in the topic of Linear Program; (4) in each learning creativity, which learning model of the Geogebra-based TGT type, the Geogebra-based STAD type, and direct learning model results in a better learning achievement in the topic of discussion of Linear Program. This research used the quasi experimental research method with the factorial design of 3 x 3. The population of the research was all of the students in Grade XII of the Natural Science Program of Senior Secondary Schools of Kudus regency in Academic Year 2013/2014. The samples of the research were taken by using the stratified cluster random sampling. The samples consisted of three schools, namely: Senior Secondary School 1, Senior Secondary School 2, and Senior Secondary School 1 of Mejobo. The data of the research were analyzed by using the two-way analysis of variance (ANAVA) with unbalanced cells.The results of the analysis show that: (1) the Geogebra-based TGT type results in the same learning achievement in the topic of Linear Program as the Geogebra type-based STAD type, but the two former types result in a better learning achievement in the topic of Linear Program than the direct learning model; (2) the students with the high learning creativity have a better learning achievement in the topic of Linear Program than those with the medium learning creativity and those with the low learning creativity, and those with the medium learning creativity have a better learning achievement in the topic of Linear Program than those with the low learning creativity; (3) in the three learning models, the students with the high learning creativity have a better learning achievement in the topic of Linear Program than those with the medium learning creativity and those with the low learning creativity, and those with the medium learning creativity have a better learning achievement in the topic of discussion of Linear Program than those with the low learning creativity; and (4) the students with the high, medium and low learning creativity, the Geogebra-based TGT type results in the same learning achievement in the topic of Linear Program as the Geogebra type-based STAD type, but the two former types result in a better learning achievement in the topic of Linear Program than the direct learning modelKeywords: TGT, STAD and Geogebr
ANALISIS BERPIKIR KRITIS SISWA DALAM PEMECAHAN MASALAH MATEMATIKA BERDASARKAN POLYA PADA POKOK BAHASAN PERSAMAAN KUADRAT (Penelitian pada Siswa Kelas X SMK Muhammadiyah 1 Sragen Tahun Pelajaran 2013/2014)
Abstract : This research aims were to describe: (1) students’ level of critical thinking, (2) students’ process of critical thinking in problem solving based on Polya, (3) factors influencing students’ process of critical thinking. This was a descriptive qualitative research. Subject of the research was students grade X AP 1 of SMK Muhammadiyah 1 Sragen consisting of four students. Subject was selected using purposive sampling. Instrument of collecting data were observation, problem solving test and interview. Validity of the data was tested using triangulation method. The data were analyzed by: (1) classifying the data in level of critical thinking based on indicators of critical thinking stated by Ennis; (2) analyzing each critical thinking level based on four steps of Polya’s problem solving; (3) analyzing factors influencing students’ process of critical thinking. From the research on 36 students, the results of students’ level of critical thinking are 19.4% for critical thinking level 0, 72.2% for critical thinking level 1, 5.6% for critical thinking level 2 and 2.8% for critical thinking level 3. Students’ process of critical thinking in (a) understanding problems, critical thinking level 0 was not able to construct point of the problems and reveal the facts, critical thinking level 1, 2, and 3 were able to construct point of the problems and reveal the facts; (b) making a plan, critical thinking level 0 was not able to detect the bias and determine theorem in solving problems, critical thinking level 1 was not able to detect the bias but was able to theorem in solving problems, critical thinking level 2 and 3 were able to detect the bias and determine theorem in solving problems; (c) carrying out the plan, critical thinking level 0 was not able to solve problems as the planning, critical thinking level 1, 2 and 3 were able to solve problems as the planning; (d) looking back the completed solution, critical thinking level 0 and 1 were not able to select logical argument and to draw conclusion, however, critical thinking level 1 was able to solve the problems using another method, critical thinking level 2 was not quite able to select logical argument and to draw conclusion, but it was able to solve the problems using another method, and critical thinking level 3 was able to select logical argument, to draw conclusion and to solve the problems using another method. Factors influencing students’ process of critical thinking are students were not accustomed to solve story problems so that they were not able to understand the problems, students found it difficult to construct Mathematics model, and students were accustomed to solve questions using only one method.Key words: Critical thinking, Polya’s problem solving, Process of critical thinking, Level of critical thinking
EKSPERIMENTASI MODEL PEMBELAJARAN THINK TALK WRITE (TTW) DENGAN PENDEKATAN MATEMATIKA REALISTIK (PMR) TERHADAP PRESTASI BELAJAR MATEMATIKA DITINJAU DARI KEMAMPUAN PENALARAN MATEMATIKA DAN KREATIVITAS BELAJAR SISWA SMP SE-KABUPATEN WONOGIRI
Abstract: This aims of the research were to determine: (1) which one that give better achievement, learning with TTW with RMA, TTW, or conventional, (2) which one that give better achievement, the students having high, medium, or low mathematics reasoning ability, (3) which one that give better achievement, the students having high, medium, or low creativity, (4) in each learning model, which one category of mathematics reasoning ability that give better achievement, the students having high, medium, or low mathematics reasoning ability, (5) in each learning model, which one that give better achievement, the students having high, medium, or low creativity, (6) in each category of mathematics reasoning ability, which one that give better achievement, the students having high, medium, or low creativity, (7) in each learning model for each category of mathematics reasoning ability, which one that give better achievement better, the students having high, medium, or low creativity. Prior knowledge data are examined by using one-way ANOVA with unbalanced cells. It shows that three classes have balance prior knowledge. Meanwhile, the technique of analyzing the data was three-ways ANOVA with unbalanced cells. The result of research showed that: (1) TTW with RMA provided better achievement than TTW and conventional, and also TTW provided better achievement than conventional, (2) the students having high and medium mathematics reasoning ability had same achievement, and also than the students having high and medium mathematics reasoning ability had better achievement than those having low mathematics reasoning ability, (3) the students having high, medium, and low creativity had the same achievement, (4) in each learning model, the students having high and medium reasoning ability had the same achievement, and also than the students having high and medium mathematics reasoning ability had better achievement than those having low mathematics reasoning ability, (5) in each learning model, the students having high, medium, and low creativity had the same achievement, (6) in each category of mathematics reasoning ability, the students having high, medium, and low creativity had the same achievement, (7) in each learning model for each category of mathematics reasoning ability, the students having high, medium, and low creativity had the same achievement.Keywords: Think Talk Write (TTW), Realistic Mathematics Approach (RMA), mathematics reasoning ability, learning creativity, mathematics achievement
PENGEMBANGAN PERANGKAT PEMBELAJARAN BERBASIS MASALAH (PROBLEM BASED LEARNING) DENGAN PENDEKATAN ILMIAH (SCIENTIFIC APPROACH) PADA MATERI SEGITIGA KELAS VII SMP SE-KABUPATEN KARANGANYAR TAHUN PELAJARAN 2013/2014
Absrtact: The aims of this research were: (1) to describe the Problem Based Learning process with using of the valid and practical scientific approach to the main subject of triangle for the VII degree of junior high school, (2) to describe the effectiveness of Problem Based Learning tools by using scientific approach which had been developed. This research run in two phases. The first phase was the process of the development of learning tools used 4-D model. This model consisted of four phases namely, (1) defined phase, (2) designed phase, (3) developed phase, and (4) disseminated phase. The second phase was the test of the effectiveness of the learning tools that has been developed using experiment method. The population was the students of the VII degree of Tasikmadu junior high school. The sampling was conducted randomly, the one was as the experiment class and the other was as control class. The results of this research were as follows. (1) The development of the learning tools conducted was valid and practical because the equipment that was developed based on the strong rational theory, it had internal consistency, and the learning equipment implicated in the learning process, (2) This learning used Problem Based Learning process with the scientific approach was better than the direct learning. Keywords: Development of learning, problem based learning, scientific approac