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Jurnal Pembelajaran Matematika
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EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE TEAMS GAMES TOURNAMENT DENGAN STRATEGI PETA KONSEP PADA MATERI SEGIEMPAT DITINJAU DARI KEMAMPUAN SPASIAL PESERTA DIDIK Yuwono, Muhammad Ridlo; Budiyono, Budiyono; Sari S, Dewi Retno
Jurnal Pembelajaran Matematika Vol 2, No 9 (2014): Pembelajaran Matematika
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 Abstract: The objective of this research was to know the effect of the learning models on the learning achievement of quadrangle viewed from the spatial ability of the students. The learning models compared were the cooperative learning model of the TGT type with concept mapping strategy, the cooperative learning model of the TGT type, and the direct learning model. This research used the quasi experimental method. Its population was all of the students in grade VII of State Junior Secondary Schools of Pati regency in Academic Year 2013/2014. The samples of the research were taken by using the stratified cluster random sampling technique. The samples of the research consisted of 325 students. They were grouped into three groups, namely: 109 in experimental group 1, 110 in experimental group 2, and 106 in control group. The instruments to gather the data were test of achievement on the learning topic of quadrangle, and test of spatial ability. The proposed hypotheses of the research were analyzed by using the two way analysis of variance with unbalanced cells. The results of the research were as follows. (1) The cooperative learning model of the TGT type with concept mapping strategy results in a better learning achievement than the cooperative learning model of the TGT type and the direct learning model, but the cooperative learning model of the TGT type results in the same learning achievement as the direct learning model. (2) The students with the high spatial ability had the same learning achievement as those with the moderate spatial ability, but the students with the high spatial ability and those with the moderate spatial ability had a better learning achievement than those with the low spatial ability. (3) In each category of the spatial abilities, the cooperative learning model of the TGT type with concept mapping strategy results in a better learning achievement than the cooperative learning model of the TGT type and the direct learning model, but the cooperative learning model of the TGT type results in the same learning achievement as the direct learning model. (4) In each of the learning models, the students with the high spatial ability had the same learning achievement as those with the moderate spatial ability, but the students with the high spatial ability and those with the moderate spatial ability had a better learning achievement than those with the low spatial ability.Keywords: TGT, concept mapping, and spatial ability.
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) Harlinda Fatmawati; Mardiyana Mardiyana; Triyanto Triyanto
Jurnal Pembelajaran Matematika Vol 2, No 9 (2014): Pembelajaran Matematika
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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 KOOPERATIF TIPE TWO STAY TWO STRAY (TSTS) DAN NUMBERED HEADS TOGETHER (NHT) DITINJAU DARI KECERDASAN MAJEMUK PESERTA DIDIK Santi Widyawati; Mardiyana Mardiyana; Gatut Iswahyudi
Jurnal Pembelajaran Matematika Vol 2, No 9 (2014): Pembelajaran Matematika
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Abstract: The objectives of this research were to investigate: (1) which learning model of the TSTS model, the NHT model, and the direct learning model resulted in a better learning achievement in mathematics; (2) which students of the students with mathematical-logical, interpersonal, and linguistic intelligence had a better learning achievement in mathematics; (3) in each category of the multiple intelligences, which learning model of the TSTS model, the NHT model, and the direct learning model resulted in a better learning achievement in mathematics; and (4) in each learning model, which students of the students with mathematical-logical, interpersonal and linguistic intelligence had a better learning achievement in mathematics. This research used the quasi experimental research method with the factorial design of 3 x 3. Its population was all of the students in Grade VII of Junior Secondary Schools of Metro City. The size of the samples was 269 students. They were taken by using the stratified cluster random sampling technique. The instruments to gather the data of the research were test of learning achievement in mathematics and questionnaire of multiple intelligences. The proposed hypotheses of the research were tested by using the two-way analysis of variance with unbalanced cells. The results of the research were as follows. 1) The TSTS model resulted in a better learning achievement than the NHT model and direct model, and the NHT model resulted in a better learning achievement than the direct learning model. 2) The students with mathematical-logical intelligence had a better learning achievement than those with interpersonal and linguistic intelligences, and the students with interpersonal intelligence had a better learning achievement than those with linguistic intelligence. 3) In the students with mathematical-logical intelligence, the TSTS model resulted in a better learning achievement than the cooperative learning model of the NHT model, the TSTS model and the NHT model resulted in the same learning achievement as the direct learning model. In the students with interpersonal intelligence, the TSTS model resulted in the same learning achievement as the NHT and direct learning models, and the NHT model resulted in a better learning achievement than the direct learning model. In the students with linguistic intelligence, the TSTS and the NHT model sresulted in the same learning achievement as the direct learning model. 4) In the TSTS model, the students with mathematical-logical intelligence had the same learning achievement as those with interpersonal intelligence but had a better learning achievement than those with linguistic, and interpersonal intelligence had the same learning achievement those with linguistic intelligence. In the NHT model, the students with mathematical-logical, interpersonal, and linguistic intelligences had the same learning achievement. In the direct learning model, the students with mathematical-logical intelligence had a better learning achievement than those with interpersonal and linguistic intelligences, and the students with interpersonal intelligence had the same learning achievement as those with linguistic intelligence. Keywords: TSTS, NHT, multiple intelligences.
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 Titik Yuniarti; Riyadi Riyadi; Sri Subanti
Jurnal Pembelajaran Matematika Vol 2, No 9 (2014): Pembelajaran Matematika
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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 approach
PROFIL PROSES BERPIKIR KRITIS SISWA KELAS VIII SMP NEGERI 3 SURAKARTA DALAM MEMECAHKAN MASALAH POKOK BAHASAN SISTEM PERSAMAAN LINEAR DUA VARIABEL (SPLDV) DITINJAU DARI KECERDASAN MAJEMUK DAN GENDER Mika Ambarawati; Mardiyana Mardiyana; Sri Subanti
Jurnal Pembelajaran Matematika Vol 2, No 9 (2014): Pembelajaran Matematika
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Abstract: The aim of this research was to describe the profile of critical thinking process of the students in grade VIII of State Junior Secondary School 3 of Surakarta in solving the problems on linear equation of two variables (LETV) viewed from the multiple intelligence and gender. This research used the descriptive research method with the qualitative explorative approach. The subjects of the research were taken by using the purposive sampling technique. The subjects of the research were four students in Grade VIII of State Junior Secondary School 3 of Surakarta, one male student and female student with linguistic intelligence, and one male student and one female student with mathematical-logical intelligence. The instruments used to gather the data of the research were multiple intelligence questionnaire, worksheet for mathematical problem-solving, and interview guidelines. The data were collected through questionnaire and task-based interview on the learning material of LETV. They were validated by using the time triangulation and the reference fulfillment. The data were analyzed using a Miles and Huberman’s concept, that was data reduction, presentation, and conclusion. The results of the research are as follows. 1) The male  and female students with linguistic intelligence had a good ability to capture information and may communicate it effectively both written and orally. The critical thinking can be realized through four phases. However,  the male in the recognition phase, they encounters a difficulty i.e. the question they mentions is less complete.  In addition, in thinking about alternatives, they are only able to mention one problem-solving alternative, namely: mixed alternative. 2) The male and female students with mathematical-logical intelligence are able to think logically. They are able to do categorization, classification, conclusion drawing over a problem. The  critical thinking can be realized through four phases. However, in the recognition phase, they encounters a difficulty i.e. the question they mentions is less complete.  In addition, in thinking about alternatives, they are only able to mention two problem-solving alternatives, namely: mixed alternative and substitution alternative.Keywords: profile of the process of critical thinking, problem solving, multiple intelligence, and gender.
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE TEAMS GAMES TOURNAMENTS (TGT) DENGAN METODE DISCOVERY PADA MATERI BANGUN RUANG SISI DATAR DITINJAU DARI KEMAMPUAN SPASIAL SISWA KELAS VIII SMP NEGERI DI KABUPATEN ROKAN HULU TAHUN PELAJARAN 2013/2014 Nurrahmawati Nurrahmawati; Budiyono Budiyono; Imam Sujadi
Jurnal Pembelajaran Matematika Vol 2, No 9 (2014): Pembelajaran Matematika
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Abstract: The purpose  of this study are to determine the effect of the learning models on the learning achievement in Mathematics viewed from the spatial intelligence of the students. The learning models compared were the cooperative learning model of the TGT type with discovery method, the cooperative learning model of the TGT type, and the direct instruction  model. The type of this study was a quasi-experimental study with a 3x3 factorial design. The study population was all grade VIII students of Junior High School in Rokan Hulu Regency. Instruments used for data collection were mathematics achievement test and spatial intelligence test. Based on the hypothesis, the results could be concluded as follows.  (1) Students who were treated with the Teams Games Tournaments (TGT) cooperative learning model with discovery method had better learning achievement than students treated by TGT models and direct instruction model. In addition, students who were treated with the TGT model gave the same achievement with students treated by direct instruction model. (2) Students with high spatial intelligence had better learning achievement than the students with middle and low spatial intelligence. In addition, students who had middle spatial intelligence have better learning achievement than students who had low spatial intelligence. (3) In the spatial intelligence category of high, middle and low, the students’ learning achievement treated Teams Games Tournaments (TGT) cooperative learning model with discovery method was better than the students treated by TGT and direct instruction models. In addition, students treated by TGT model gave the same learning achievement with students treated by direct instruction model. (4) In the Teams Games Tournaments (TGT) cooperative learning model with discovery method, TGT model and direct instruction model, the students who had high spatial intelligence had better learning achievement than middle and low spatial intelligence. In addition, the students who had middle spatial intelligence had better learning achievement than students who had low spatial intelligence.Keywords: Teams Games Tournaments (TGT), Disccovery  Method,  Spatial Intelligence.
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE TEAMS GAMES TOURNAMENT (TGT) BERBANTU MEDIA AUDIO-VISUAL DITINJAU DARI KEMAMPUAN KOMUNIKASI MATEMATIS PADA MATERI SEGIEMPAT Setiawan Wicaksono; Tri Atmojo Kusmayadi; Imam Sujadi
Jurnal Pembelajaran Matematika Vol 2, No 9 (2014): Pembelajaran Matematika
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Abstract. The objective of this research was to investigate the effect of the learning models on the learning achievement in Mathematics viewed from the mathematical communication of the students. The learning models compared were the cooperative learning model of the TGT type with audio-visual media, the cooperative learning model of the TGT type, and the direct learning model. This research  was the quasi experimental. Its population was all of the students in Grade VII of State Junior Secondary Schools of Pati regency in Academic Year 2013/2014. The taken samples used technique stratified cluster random samples consisted of 283 students, consisted 3 class, namely 97 students in Experimental Class I, 94 students in Experimental Class II, and 92 students in Control Class. The instruments to gather the data were test of achievement in Mathematics on the learning material of Quadrangle, and test of mathematical communication. The proposed hypotheses of the research were analyzed by using the two way analysis of variance with unbalanced cells. The results of the research were as follows: 1) The TGT type with audio-visual media results in a better learning achievement than the TGT type and the direct learning model, and the TGT provided a better learning achievement of direct learning model, 2) The students with the high mathematical communication was a better learning achievement than those with the moderate and low mathematical communication, while the students with moderate mathematical communication was the same learning achievement as those with the low mathematical communication, 3) a) In the students with the high mathematical communication, the TGT type with audio-visual media results in the same learning achievement as the cooperative learning model of the TGT type, the TGT type with audio-visual media or the TGT type results in a better learning achievement than  the  direct  learning  model,  3) b) the category of moderate and low mathematical communication, the TGT type with audio-visual media provided equal learning performance both with models the TGT type and direct learning model, 4) a) In the TGT type with audio-visual media, students who was a high mathematical communication was the same learning achievement as those with the moderate mathematical communication, the students with the moderate mathematical communication was the same learning achievement as those with the low mathematical communication, and students who with the high mathematical communication was a better learning achievement than those with the low mathematical communication, 4) b) In the TGT type, students with the high mathematical communication was a better learning achievement than those with the moderate or low mathematical communication, and students with the moderate mathematical communication was the same learning achievement as those with the low mathematical communication, 4) c) In the direct learning model, students with the high mathematical communication was the same learning achievement as those with the moderate or low mathematical communication.Keywords: TGT, audio-visual media, and mathematical communication
ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL PERSAMAAN KUADRAT BERDASARKAN TAKSONOMI SOLOPADA KELAS X SMA NEGERI 1 PLUS DI KABUPATEN NABIRE – PAPUA Ronald Manibuy; Mardiyana Mardiyana; Dewi Retno Sari S
Jurnal Pembelajaran Matematika Vol 2, No 9 (2014): Pembelajaran Matematika
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Abstract: The objectives of this research were to describe the position of errors, kind of errors and factor that caused students’ errors in answering quadratic equation questions based on SOLO taxonomy on the X grade students of SMA with high, moderate and low mathematics ability. This research was a descriptive qualitative. This research was carried out on the X grade students of SMA Negeri 1 Plus Nabire – Papua. The written data were taken from the result of mathematics ability test and first problem solving test (M1: linear/quadratic pattern) and the second problem (M2: functional concept), the oral forms data were taken from the result of interview which were conducted to the subject of the research to get valid data 1 and valid data 2. Afterwards, the valid data were analyzed to find out the constant level of consistency achievement of SOLO level, in order to meet reliable data from the chosen research subjects 2 students with high mathematics ability, 3 students with moderate mathematics ability and 2 students with low mathematics ability. The valid and reliable data were used to analyze students’ errors based on SOLO taxonomy. The result of the research showed that: (a) the students with high mathematics ability were reached unistructural–relational level, (b) the students with moderate mathematics ability were reached unistructural–multistructural level, (c) the students with low mathematics ability were almost reached unistructural level. Errors made by the research subjects: (1) all of students conducted the same errors in answering the mathematics model of the quadratic equation questions, they did not provide the answer correctly and they did not understand the concept of the questions properly, (2) kinds of errors including: (a) misconception, not comprehending about quadratic concept, this error existed in all mathematics ability levels. Whereas errors on the concept of variable, which is used to form the mathematics quadratic equation, was conducted by moderate and low level subject; (b) error on the principle, the application of the mathematics rules and formulas incorrectly in answering the quadratic equation questions, was conducted by high, moderate and low levels; (c) operational error was often conducted by low, moderate and high deals with the operational of algebra, especially on the calculation of negative integer operation, (3) the factors that caused errors for the research subjects of high, moderate and low levels were low comprehension on mathematics’ concept, principle and operation.  Keywords: errors analysis, quadratic equation, SOLO taxonomy
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE THINK PAIR SHARE BERBASIS ASSESSMENT FOR LEARNING PADA MATERI BANGUN RUANG SISI DATAR DITINJAU DARI KREATIVITAS SISWA KELAS VIII SMP NEGERI SE-KABUPATEN PONOROGOTAHUN 2013/2014 Dwi A, Yuridis Madyarsa; Kusmayadi, Tri Atmojo; Usodo, Budi
Jurnal Pembelajaran Matematika Vol 2, No 9 (2014): Pembelajaran Matematika
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Abstract: This research was aimed to know in polyhedral concept: (1) which one give better achievement between TPS-AfL, TPS, or Direct Learning, (2) which one have better achievement between high, medium or low creativity students, (3) for each creativity levels, which one give better achievement between TPS-AfL, TPS, or Direct Learning, (4) for each learning model, which one have better achievement between high, medium or low creativity students. This was quasi-experimental research designed by factorial 3x3. The population was 8th grade students of SMPN even semester academic year 2013/2014 in Ponorogo regency. The sample was taken by using stratified cluster random sampling. Total sample was 255 students, consisted of 79 students as TPS-AfL sampel, 89 students as TPS sampel, and 87 students as Direct Learning sampel. The data were collected by using documentation, questionnaire and test. The data of research were analyzed by using analysis of variance with unequal cells, then continued by using Scheefe’ method. According to the data analysis, it can be concluded that in polyhedral concept: (1) students learnt using TPS-AfL and TPS, had better achievement than students learnt using Direct Learning, students learnt using TPS-AfL had better achievement than students learnt using TPS, (2) high creativity students had better achievement than those of medium and low creativity students, however medium and low creativity students had the same achievement, (3) for TPS-AfL and TPS learning, students with high, medium, and low creativity had the same achievement, for Direct Learning, high creativity students had the same achievement as medium creativity students, however medium creativity students had the same achievement as low creativity students, meanwhile high creativity students had better achievement than low creativity students, (4) for high and medium creativity students, TPS-AfL, TPS, and Direct Learning gave the same achievement, meanwhile for low creativity students, TPS-AfL gave better achievement than students TPS and Direct Learning, meanwhile, TPS and Direct Learning gave the same achievement.Keywords: TPS-AfL, TPS, Direct Learning, Creativity
EKSPERIMENTASI PEMBELAJARAN MATEMATKA MENGGUNAKAN MODEL PEMBELAJARAN THINK PAIR SHARE DENGAN PENDEKATAN PEMBELAJARAN MATEMATIKA REALISTIK PADA POKOK BAHASAN DIMENSI TIGA DITINJAU DARI KECERDASAN SPASIAL SISWA Tardi, Tardi; Budiyono, Budiyono; Iswahyudi, Gatut
Jurnal Pembelajaran Matematika Vol 2, No 9 (2014): Pembelajaran Matematika
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Abstract: This research was aimed at searching and finding: 1) the most effective mathematics learning model among TPS learning model with PMR, TPS learning model, and direct learning model, 2) the level of student’s spatial intelligence having the highest achievement among students with high, average, and low spatial intelligence, 3) the most effective learning model among TPS learning model with PMR, TPS learning model, and direct learning model towards student’s achievement on each level of spatial intelligence, and 4) the level of students having the highest achievement in every learning model. This was a quasy-experimental research with a 3x3 factorial design. The population was students of grade X of state senior high school in Surakarta in 2013/2014. Stratified random sampling and cluster random sampling techniques were applied. The samples in this research were: 1) experiment group 1, consisting of 91 students; 2) experiment group 2, consisting of 90 students; 3) control group, consisting of 99. The data collecting instruments were student’s spatial intelligence test and achievement test in the form of multiple choices. Balance test with unbalanced one-way anova test, analysis prerequisite tests (normality test with Liliefors test and homogenity test with Bartlett test) and hipothesis test (unbalanced  two-way anova test) were conducted. It can be concluded that: 1) TPS model with PMR is more effective towards student’s achievement than TPS model and direct model, and TPS model is as effective as direct model towards student’s achievement; 2) students with high spatial intelligence gain higher achievement than those with average and low spatial intelligence, and students with average spatial intelligence gain higher achievement than those with low spatial intelligence; 3) to students with high and average spatial intelligence, TPS model with PMR, TPS model and direct model give the same achievement. For students with  low spatial intelligence, TPS model with PMR and TPS model give the same achievement, but TPS model with PMR gain higher achievement than those with direct model, and TPS model and direct model give the same achievement; and 4) dealing with TPS model with PMR, students with high and average spatial intelligence gain the same of achievement, but students with high spatial intelligence gain higher achievement than those with low spatial intelligence, and students with average and low spatial intelligence gain the same of achievement, while dealing with with TPS model, students with high and average spatial intelligence gain the same of achievement but students with high spatial intelligence gain higher than those with low spatial intelligence, while students with average spatial intelligence gain higher achievement than those with low spatial intelligence, and dealing with direct model, students with high spatial intelligence gain higher achievement than those with average and low spatial intelligence, but students with average and low spatial intelligence gain the same of achievement.Key Words: learning model, TPS, PMR, spatial intelligence 

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