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PROSES BERPIKIR SISWA SMP DALAM MENYELESAIKAN MASALAH MATEMATIKA BERDASARKAN LANGKAHLANGKAH POLYA DITINJAU DARIADVERSITY QUOTIENT
Pembelajaran Matematika Vol 1, No 3 (2013): Pembelajaran Matematika
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Abstract: The aims of this research are to describe the thinking process of junior high school students with type of climber, camper, and quitter in solving mathematics problems based on Polya’s rule. This was a qualitative descriptive research. The subjects of this research were taken by using a combined technique of stratified sampling and purposive sampling. The subjects of this research were three 9th grade student of SMP Negeri 1 Jaten Karanganyar regency, which consists of astudent with climber’s type, a student with camper’s type, and a student with quitter’s type. The data collection in this research was conducted through questionnaires and taskbased interview technique whichwereused in the subject matter of two variable linear equation system.Thedata validationtechnique used triangulationof time andreferences. The data was analyzed by usingMiles and Huberman’s concept, that was data’s reduction, data’s presentation, and conclusion. The result of this research showed that (1) climber’s student used assimilation thinking process in understanding the problem, devising a plan, carrying out the plan, and looking back the answer, (2) camper’s student used assimilation thinking process in understanding the problem, carrying out the plan, and looking back the answer, student used assimilation and accomodation thinking process in devising a plan, and (3) quitter’s student used imperfection assimilation and accomodation thinking process in understanding the problem, student didn’t use assimilation and accomodation thinking process in devising a plan, carrying out the plan, and looking back the answer.Keywords: thinking process, problem solving, Polya’s rule, Adversity Quotient (AQ)
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE TEAM ASSISTED INDIVIDUALIZATION GUIDE NOTE TAKING (TAI GNT) DITINJAU DARI KEMANDIRIAN BELAJAR SISWA
Pembelajaran Matematika Vol 1, No 3 (2013): Pembelajaran Matematika
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Abstract: The aim of the research was to determine the effect of learning models on mathematics learning achievement viewed from students independence learning. The learning models compared were cooperative learning model of TAI GNT, cooperative learning model of TAI, and conventional model. The type of the research was a quasiexperimental research. The population was the tenth grade students of senior high school at East Lombok in the first semester of the academic year 2012/2013. The size of the sample was 104 students is given the cooperative learning model of TAI GNT type, 106 students is given the cooperative learning model of TAI type, 105 students is given model of conventional type. The instruments used were documentation, questionnaire, and test methods. The data was analyzed using two way analysis of variance. The results of this research are as follows. (1) The TAI GNT model gives better mathematics learning achievement than TAI and conventional model, besides, TAI model gives better mathematics learning achievement than conventional model. (2) The students with high independence learning have better mathematic learning achievement than students with medium and low independence learning, and the students with medium independence learning have the same mathematics learning achievement as the students with low independence learning. (3) In each level of independence learning (high, medium, and low), TAI GNT model gives better mathematics learning achievement than TAI and conventional model, besides, TAI model gives better mathematic learning achievement than conventional model. (4) In each learning models (TAI GNT, TAI and conventional), the students with high independence learning have better mathematics learning achievement than the students with medium and low independence learning, and the students with medium independence learning have the same mathematics learning achievement as the students with low independence learning.Keywords: cooperative learning, team assisted individualization, guide note taking, independence learning.
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE THINK PAIR SHARE (TPS) DAN MOOD UNDERSTAND RECALL DETECT ELABORATE REVIEW (MURDER) PADA MATERI POKOK LOGARITMA DITINJAU DARI MINAT BELAJAR SISWA KELAS X SMK SE KABUPATEN KARANGANYAR
Pembelajaran Matematika Vol 1, No 3 (2013): Pembelajaran Matematika
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Abstract: This research aims at knowing (1) the effectiveness of TPS, MURDER and Direct Instruction model to the students´ achievement on mathematics, (2) which learning model TPS, MURDER and Direct Instruction, having better achievement on mathematics viewed from students’ interest, (3) students’ achievement viewed from students’ interest on each learning model. This research is experimental research using factorial design 3x3. The population is students of SMK on technique program in Karanganyar. Sampling is stratified cluster random sampling. The sample is 300 students, 100 is first experimental class, 100 is second experimental class and 100 is control class. Collecting data has been done through multiple choice test to know students’ achievement and questionnaire to know students interest in learning. Instrument test and questionnaire were tested before it is used to take data. Instrument validities test and questionnaire were carried out by validator, reliability test was tested by formula KR20 and reliability questionnaire was tested with formula Cronbach Alpha while its data analysis technique uses twoway analysis of variance with unequal cells. From the result was concluded that: (1) Students who are taught using cooperative learning model, MURDER, have better achievement than TPS and Direct Instruction. Those taught by using TPS have better achievement than Direct Instruction. (2) Viewed from students’ interest, high, mid, and low, taught by using learning MURDER have better achievement than TPS and those taught by using TPS have better achievement than Direct Instruction. (3) Viewed from learning model MURDER, TPS, and Direct Instruction, students having high interest have better achievement than those students having mid interest and students having mid interest have better achievement than those students having low interest.Keywords: MURDER, TPS, Interests Learning, Students Achievement on mathematics.
EFEKTIVITAS MODEL PEMBELAJARAN KOOPERATIF TIPE NUMBERED HEADS TOGETHER (NHT) DENGAN PENDEKATAN OPENENDED PADA PEMBELAJARAN MATEMATIKA DITINJAU DARI ADVERSITY QUOTIENTS (AQ) SISWA SMA NEGERI DI KOTA MATARAM
Pembelajaran Matematika Vol 1, No 3 (2013): Pembelajaran Matematika
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Abstract:The objectives of this research are to investigate: (1) which of the cooperative learning model of NHT type with openended approach, the cooperative learning models of NHTtype, and the model of conventional results in a better learning achievement in mathematics of the students; (2) which of the types of climbers, the campers, and the quittersresults in a better learning achievement in mathematics; (3) for each category of AQ of the students, which one results in better achievement in mathematics, cooperative learning model of NHT type with openended approach, the cooperative learning model of NHTtype, and the model of conventional; and (4) for each learning model, which one results in better achievement in mathematics, students who have climbers type, campers, or quitters.The type of this research was a quasiexperimental with research design which used factorial 3 x 3.The population of this research was the first grade (Class Ten) of Senior High Schools in Mataram. The sample of this research was 9 classes consisted of 3 experimental classes I, 3 experimental classes II, and 3 control classes. This research used stratified cluster random sampling technique.The results of the research are as follows: (1) the cooperative learning models of NHT type with openended approach results in a better students’ mathematics learning achievement than cooperative learning model of NHTand the model of conventional, and the cooperative learning model of NHTtype results in a better students’ mathematics learning achievement than the model of conventional; (2) students’ mathematics learning achievementwith the climbers type of learning gives the same mathematics achievement as the campers type, students’ mathematics learning achievement with the campers type of learning gives the same mathematics achievement as the quitters type, and students’ mathematics learning achievement with the climbers type of learning results in a better achievement than the learning achievement of the students with the quitters type; (3) for each category of AQ of the students (climbers, campers, and quitters), cooperative learning model of NHT type with openended approach results in a better students’ mathematics learning achievement than cooperative learning model of NHTand the model of conventional, and the cooperative learning model of NHTtype results in a better students’ mathematics learning achievement than conventional type; (4) for each learning model (NHT type with openended approach, NHT type, and conventional), students’ mathematics learning achievement with the climbers type of learning gives the same mathematics achievement as the campers type, and students’ mathematics learning achievement with the campers type of learning gives the same mathematics achievement as the quitters type, and students’ mathematics learning achievement with the climbers type of learning results in a better achievement than students’ mathematics learning achievement with the quitters type.Keywords: Learning model,NHT, openended approach, conventional, mathematic’s learning achievement.
PROSES BERPIKIR KREATIF SISWA SMP DALAM PEMECAHAN MASALAH MATEMATIKA DITINJAU DARI TIPE KEPRIBADIAN SISWA
Pembelajaran Matematika Vol 1, No 5 (2013): Pembelajaran Matematika
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Abstract: This research is aimed at describing the creative thinking process of students with rational personality type, idealist personality type, guardian personality type, andÂ artisan personality type in solving mathematics problems. It was a descriptive qualitative research. The subject of this research was taken by using a purposive sampling. The subject of this research were 4 of the eighth grade students at SMP Negeri 2 Jenar, Sragen Regency, consisting of 1 student with rational personality type, 1 student with idealist personality type, 1 student with guardian personality type, and 1 student with artisan personality type. The techniques of collecting the data in this research were questionnaire, written test, and interview on plane geometri subject. The techniques of validating the data were time triangulation and sufficient references. The technique of analyzing the data was Miles and Huberman concept, namely, data reduction, data presentation, and conclusion drawing. The findings of the research show that (1) the student with rational personality type has creative thinking process level 1 (less creative); (2) the student with idealist personality type has creative thinking process level 3 (creative); (3) the student with guardian personality type has creative thinking process level 3 (creative); (4) the student with artisan personality type has creative thinking process level 0 (not creative). Keywords: Creative Thinking Process, Mathematics Problem Solving, Personality Type
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE GROUP INVESTIGATION (GI) DAN THINK PAIR SHARE (TPS) PADA MATERI TRIGONOMETRI DITINJAU DARI KECERDASAN LOGIKA MATEMATIKA SISWA KELAS X SMA DI KABUPATEN SUKOHARJO
Pembelajaran Matematika Vol 1, No 5 (2013): 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 the studentâs logical mathematical intelligence. The learning model compared were Group Investigation of cooperative learning model, Think Pair Share of coopeartive learning model, and direct instruction model. The type of the research was a quasiexperimental research. The population of this research was all of the X grader of State Senior High School (SMA) in Sukoharjo Regency. The sample was taken using stratified cluster random sampling, with 321 students as the sample consisting 108 students for first experiment class, 108 students for second experiment class, and 105 students for control classes. The result of research showed that: (1) group Investigation of cooperative learning model gave the best achievement among the models Think Pair Share of cooperative learning model and direct instruction model, and Think Pair Share of cooperative learning model gave better achievement than direct instruction model, (2) group of student with high logical mathematical intelligencehad the best achievement among the models group of student with middle logical mathematical intelligence and group of student with low logical mathematical intelligence, and group of student with middle logical mathematical intelligencehad better achievement than group of student with low logical mathematical intelligence, (3) at each logical mathematical intelligence categories (high, middle, and low), Group Investigation of cooperative learning model gave the best achievement among the models Think Pair Share of cooperative learning model and direct instruction model, and Think Pair Share of cooperative learning model gave better achievement than direct instruction model, (4) at each learning models (Group Investigation of cooperative learning model, Think Pair Share of cooperative learning model, and direct instruction model), group of student with high logical mathematical intelligencehad the best achievement among the models group of student with middle logical mathematical intelligence and group of student with low logical mathematical intelligence, and group of student with middle logical mathematical intelligencehad better achievement than group of student with low logical mathematical intelligence. Key words: Group Investigation, Think Pair Share, and Logical Mathematical Intelligence
PENGEMBANGAN PERANGKAT PEMBELAJARAN DENGAN DESAIN DIDAKTIK UNTUK MENGURANGI HAMBATAN BELAJAR SISWA PADA TOPIK SEGIEMPAT DALAM PEMBELAJARAN MATEMATIKA SMP
Pembelajaran Matematika Vol 1, No 6 (2013): Pembelajaran Matematika
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Abstract: The purpose of this study were to: (1) describe the studentâs learning obstacle and related topics quadrilateral learning device that could reduce the learning obstacle, especially on quadrilateral, (2) develop the prototype of learning devices with didactical design on the topic quadrilateral, and (3) test the effectiveness of learning device which were developed in didactical Â design on the topic quadrilateral.The research method used was Research and Development with the steps of research: (1) preliminary research, (2) product design, (3) product validation, (4) revised product, (5) preliminary field testing, (6) main product revision; (7) main field testing; (8) revised product, and (9) effectiveness test. The results of the research were as follows.(1) Type of learning obstaclerelated to quadrilateral were: (a) learning obstaclerelated to the context information on the variation of matter; (b) learning obstaclerelated to the concept image of the base, height and other components of quadrilateral;(c) learningobstacle related to the relationship between the perimeter and area among the type of?aquadrilateral; (d) learning obstacle related to students ability to solve the problems about quadrilateral which should be constructed in advance; and (e) learning obstacle related to the connection among the perimeter and area of??a quadrilateral without her mathematical concepts. Based on the learning obstacles, drafted a learning device that consists of a lesson plans, work sheets and response prediction and didactical antisipation. (2) Identification of learning obstacle used as a reference to develop learning device. Learning device then validated and revised for a preliminary field testing. In the preliminary field testing, there were still many students who made mistakes in solving the given problems. It was pointed out as learning obstacle. Analysis based on observation sheets, questionnaires, tests and interviews indicated that the device was too difficult for the students.. However, after the revision tested in the main field testing, the students began to decrease learning obstacles. (4) Test showed that the achievement of students who used the didactical learning devise better than student achievement with conventional learning. Keywords: development, learning obstacle, didacticdesign, quadrilateral.
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE TEAMS GAMES TOURNAMENT (TGT) DAN FANNPICK PADA PRESTASI BELAJAR MATEMATIKA DITINJAU DARI KECEMASAN PADA MATEMATIKA SISWA SMP NEGERI DI KABUPATEN MAGELANG
Pembelajaran Matematika Vol 1, No 6 (2013): 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 the studentâs mathematics anxiety. The learning model compared were Teams Games Tournament of cooperative learning model, FanNPick of coopeartive learning model, and direct instruction model The method which was applied in this research was quasiexperimental with 3Ã3 factorial design done in class VIII second semester of Junior High School (SMP) In Magelang Regency Academic Year 2012/2013. Sampling technique using stratified cluster random sampling. The research concludes as follows. 1) FanNPick of cooperative learning model gave better mathematics learning achievement than TGT of cooperative learning model and direct instructional model. While, TGT of cooperative learning model gave betterÂ mathematics learning achievement than direct instructional model. 2) The students with low levels of mathematics anxiety had mathematics learning achievement is better than students with medium and high of mathematics anxiety. While students with medium levels of mathematics anxiety had mathematics learning achievement is better than students with high levels of mathematics anxiety. 3) In the TGT of cooperative learning model, students with high and medium levels of mathematics anxiety had similar good mathematics achievement. So also students with medium and low levels of mathematics anxiety had similar good mathematics achievement. However, the TGT of cooperative learning model, students with low levels of mathematics anxiety had mathematics learning achievement is better than students with high levels of mathematics anxiety. In the FanNPick of cooperative learning model, students with low, medium and high levels of mathematics anxiety had similar good mathematics achievement. In the direct instructional model, students with low levels of mathematics anxiety had mathematics learning achievement is better than students with medium and high of mathematics anxiety. 4) On students with low levels of mathematics anxiety by using TGT and FanNPick of cooperative learning model and direct instructional model had similar good mathematics achievement. Students with medium and high levels of mathematics anxiety, mathematics achievement had equally well if given a model of learning through direct instruction model and TGT of cooperative learning model. Likewise if given learning with TGT and FanNPick of cooperative learning model had similar good mathematics achievement. However, students with medium and high levels of mathematics anxiety had better mathematics achievement through FanNPick of cooperative learning model rather than through direct instructional model. Key words: Teams Games Tournament (TGT), FanNPick, Mathematics Anxiety
EKSPERIMENTASI MODEL PEMBELAJARAN TEAMS GAMES TOURNAMENT DAN NUMBERED HEADS TOGETHERDENGAN PENDEKATAN MATEMATIKA REALISTIK PADA MATERI LUAS PERMUKAAN BANGUN RUANG DITINJAU DARI KEAKTIFAN BELAJAR
Pembelajaran Matematika Vol 1, No 7 (2013): Pembelajaran Matematika
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ABSTRACT: The purpose of this research was to determine the effect of learning models with approach on achievement of mathematics viewed from the student active learning. The learning approach compared were Teams Games Tournament with Realistic Mathematics Education (RME) approach, Numbered Heads Together (NHT) with Realistic Mathematics Education (RME) approach, and direct learning. This research was a quasiexperimental research with 3x3 factorial design. The population was all of the 2nd grade students of junior high school in Klaten regency. Sampling was done by stratified cluster random technique. The instruments used to collect data were the prior mathematics knowledge test, activity learning questionnaire, and achievement of mathematics test. The hypothesis test used unbalanced two way anova. The hypothesis test concluded that (1) students who taughtÂ by TGT learning model with RME approach had the same learning achievement of students who taught NHT models with RME approach, students who taughtby TGT model with RME approach have better achievements mathematics learning than students who taught by direct learning, students who taught by NHT models with RME approach mathematics learning achievement better than students who taught by direct learning (2) based onthe results of unbalanced two way anova in each active category (high, medium, low), havenâtÂ the same learning achievement if taught TGTRME learning models, NHTRME, or directly, but based on the results of post hoc test anova have the same in the academic achievement of each activity category (high, medium, low) if taught TGTRME learning model, NHTRME, or directly. (3) based on the results of unbalanced two way anova havenât the same in mathematics achievement in each category learning model(TGTRME, NHTRME, direct), between students with high active, medium, or low. However, based on post hoc anova, in each category learning model (TGTRME, NHTRME, right), students with high active, medium, or low have the same of mathematics achievement. Keywords: TGTRME, RMENHT, active student learning, mathematics learning achievements
EKSPERIMENTASI MODEL PEMBELAJARAN THINK PAIR SHARE DENGAN PENDEKATAN KONTEKSTUAL PADA MATERI LOGARITMA DITINJAU DARI KECERDASAN MATEMATIS LOGIS SISWA KELAS X PADA SEKOLAH MENENGAH ATAS DI KABUPATEN CILACAP TAHUN PELAJARAN 2012/2013
Pembelajaran Matematika Vol 1, No 7 (2013): Pembelajaran Matematika
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Abstract : The purpose of this research were to know: (1) which of learning model gave a better learning mathematics result, learning model Think Pair Share (TPS), Think Pair Share with contextual approachment (TPSPK) or direct learning; (2) for each level of studentâs logical mathematical intellegence, which of learning model gave a better learning mathematics result, learning model TPS, TPSPK or direct learning (PL). This research was quasi experimental research with 3 x 3 factorial design. The population in this research was senior high school students grade X in Cilacap. Sample was taken using stratified cluster random sampling technique. Study sample were the students of SMA Negeri 1 Binangun, SMA Negeri 1 Kroya and SMA Negeri Adipala. Instruments used to gather data were logical mathematical intellegence test and mathematics learning result test on the subject of logarithm. Both instruments were tested first before they were used. The test method included content validity, power, difficulty level and reliability. Testing of hypothesis used unbalanced twoways analysis of variance using significance level of. Before doing the hypothesis test, the precondition test for variance analysis was done. The precondition test included population normality test using Lillieforce method and population variance homogeneity test using Bartlett method. Balance test toward mathematics initial ability data using unbalanced oneway analysis of variance. Based on hypothesis test, the conclusion were as follows: (1) learning models of TPS and TPSPK gave equally good results in learning mathematics, but learning model of TPS gave learning mathematics result better than direct learning one, while learning models of TPSPK and direct learning one gave equally good results in learning mathematics; (2) for each level of studentâs logical mathematical intellegence, the three learning models, TPS, TPSPK and direct learning one gave equally good results in learning mathematics.Keyword: TPS, Contextual Approachment, Logical Mathematical Intellegence, Learning Mathematics Result.