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PENALARAN MATEMATIS SISWA DALAM PEMECAHAN MASALAH PADA MATERI POKOK FAKTORISASI BENTUK ALJABAR DI KELAS VIII SMP NEGERI 1 SURAKARTA Suprihatiningsih, Siti; Sujadi, Imam; Sari S, Dewi Retno
Jurnal Pembelajaran Matematika Vol 2, No 7 (2014): Pembelajaran Matematika
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Abstract: The purposes of this study were to describe: (1) the students with high-ability mathematical reasoning on problems solving of algebra factorization in eighth grade students of SMP Negeri 1 Surakarta, (2) the students with  moderate-ability mathematical reasoning in problem solving of algebra factorization of eighth grade students of SMP Negeri 1 Surakarta, (3) the students with low-ability mathematical reasoning in problem solving of the algebra factorization material in eighth grade students of SMP Negeri 1 Surakarta. This research was a qualitative case study type. The research subjects were taken from eighth grade students of SMP Negeri 1 Surakarta. The subjects amounted to 9 students consisting of 3 students with high ability, three students with moderate ability, and 3 students with low ability. The research data were in the form of written and oral data. Written data were obtained from the research subject test on written test instruments. The oral data obtained from the think aloud verbal conducted by researchers to the study subject. The techniques of analyzing the data were: (a) data reduction (b) presention of data (c) conclusion. The results showed that the students with high-ability reasoning mathematical were: (a) understand the problem, the students read the questions carefully and write down the information that is known of the problem and write down what was being asked of the problem; (b) present the mathematical expressions and perform calculations, students write a mathematical equation to calculate by used the operations of addition, subtraction and multiplication algebra fluently; (c) submit the notion and manipulation of mathematics, students write the answer to determine the length and width of the rice field by factoring and write down the factoring results that obtained; (d) drawn the conclusions, students write the length and width of the rice fields and multiplying the factoring results obtained to convince answers that obtained. The students with moderate-ability reasoning mathematical were: (a) understand the problem, students read the question after it write down the information that was known from the problem and write down what was being asked of the problem; (b) present the mathematical expressions and perform calculations, students write a mathematical equation to calculate by using the operations of addition, subtraction and multiplication algebra although this was used long time to write mathematical expressions and perform calculation, but students were get the expected rice fields wide. The students with low-ability mathematical reasoning were: understand the problem, students read again and again but still confused after it write down the information that was known from the problem and write down what was being asked of the problem. Keywords: mathematics, reasoning, problem solving
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE TGT DAN TAI PADA MATERI VEKTOR KELAS XII SMA DITINJAU DARI KREATIVITAS SISWA Silaningsih, Tri; Mardiyana, Mardiyana; Riyadi, Riyadi
Jurnal Pembelajaran Matematika Vol 2, No 7 (2014): Pembelajaran Matematika
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Abstract: This study aimed to determine: (1) which model produces better learning achievement TGT, TAI, or direct learning model, (2) to find out which one has the better learning achievement between students with high creativity, moderate or low creativity, (3) to determine which one gives better learning achievement between cooperative learning model TGT, TAI or Direct for each student creativity, (4) to find out which one gives the better learning achievement among students who have high creativity, moderate creativity or lower creativity in each of the learning model.This study was a quasi-experimental study with a 3 x 3 factorial design. The sampling technique was done by stratified cluster random sampling. The instrument used for data collection was a questionnaire and math achievement tests. The instrument has been tested by some experts before it is used to conduct trials. Hypothesis testing used two- way Anava with unbalanced cells. Before the Anava test, research data are tested first by test analysis requirements that were test for normality and homogeneity test. The results of two- way Anava analysis show: (1) learning model of TGT and TAI produce better learning achievement, compared to the direct instructional model, while the learning model of TAI and TGT has no difference; (2) Students who have high creativity and moderate creativity have a better learning achievement than the students who have low creativity, the students who have high creativity have better learning achievement than the students who have moderate creativity;  (3) students who have creativity of high, moderate or low have on the model TGT learning and TAI have better learning achievement compared to the direct instructional model, while the learning model TGT produce the same learning achievement as TAI learning model; (4) cooperative learning model TGT, TAI and Direct give better result for students who have high and moderate creativity than students  who have low creativity, as well as the students who have high creativity provide a better learning achievement than moderate creativity.Keywords: Learning TGT, TAI, and creativity
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE TEAM ASSISTED INDIVIDUALIZATION (TAI) DENGAN METODE SNOWBALL DRILLING TERHADAP PRESTASI BELAJAR MATEMATIKA DITINJAU DARI KEMANDIRIAN BELAJAR Ningsih, Eka Fitria; Mardiyana, Mardiyana; Iswahyudi, Gatut
Jurnal Pembelajaran Matematika Vol 2, No 7 (2014): Pembelajaran Matematika
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Abstract

Abstract: The objective of this research was to investigate the effect of learning models on learning achievement viewed from self regulated learning. The learning models compared were cooperative learning model of the TAI type with the snowball drilling method, model of the TAI and the direct learning model. 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 State Junior Secondary Schools of North Lampung regency. The samples of the research were taken by using the stratified cluster random sampling technique. They consisted of 326 students from State Junior Secondary School 1 of South Abung, State Junior Secondary School 2 of South Abung, and State Junior Secondary School 2 of Abung Semuli. The samples were divided into three classes, namely: 109 in Experimental Class 1, 107 in Experimental Class 2, and 110 in Control Class. The instruments to gather the data of the research were test of learning achievement in Mathematics and questionnaire of self regulated learning. The proposed hypotheses of the research were tested by using the two-way analysis of variance with unbalanced cells. The conclutions of this research were as follows. (1) The cooperative learning model of the TAI type with the snowball drilling method resulted in a better learning achievement in Mathematics than TAI type and the direct learning model, and the cooperative learning model of the TAI type resulted in a better learning achievement in Mathematics than the direct learning model. (2) The students with the high self regulated learning had a better learning achievement in Mathematics than those with the moderate and low self regulated learning categories, and the students with the moderate self regulated learning had a better learning achievement in Mathematics than those with the low self regulated learning. (3) There was an interaction among learning models and the categories of self regulated learning on learning achievement in Mathematics.Keywords : TAI, snowball drilling, self regulated learning.
EKSPLORASI KONSTRUKSI PENGETAHUAN MATEMATIKA SISWA KELAS VIII SMP NEGERI 1 SURAKARTA MENGGUNAKAN TEORI ACTION, PROCESS, OBJECT, SCHEME (APOS) PADA MATERI POKOK FAKTORISASI BENTUK ALJABAR Zahid, Muh. Zuhair; Sujadi, Imam; Sari S, Dewi Retno
Jurnal Pembelajaran Matematika Vol 2, No 7 (2014): Pembelajaran Matematika
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Abstract

Abstract: The objective of the this qualitative research was to describe and analyze the mathematical construction process of eighth graders of SMPN 1 Surakarta in the algebraic factoring topic based on the APOS Theory. The subjects of the research were the eighth graders of SMPN 1 Surakarta and have been selected by using purposive sampling with the following criteria: (1) the students have learning algebraic factoring before; (2) the students were able to communicate his thoughts orally and written; and (3) each students were in high, medium, and low ability group. Data retrieved with the think aloud method and taken by the researcher himself, assisted by two auxiliary instruments; algebraic factoring test and interview guides. The main data sources were the words and actions of students when they were being interview. Data was validated by using data triangulation, where data collection was conducted at two different times. Based on the findings and discussions, it can be concluded as follows. (1) In action stage, the students presented their knowledge orally, by using pictures, and in writing form. The students then subtracted the simple algebraic form by classifying the algebraic terms which have the same variables. In process stage, the students multiplied the binomial with FOIL method and classified the algebraic terms that have same variables mentally and in the written form. In object stage, the students factorized the trinomial procedurally. In schema stage, the subject explained that the factor when multiplied by another factor will produce the factored trinomial and linked the action, process, and object stage to formed a complete concept of algebraic factoring. (2) In process stage, there was a student who made mistakes that could be classified as ‘invalid or incompatible distribution’. In object stage, there was a student who did factorization in non-procedural way.Keywords: construction of mathematical knowledge, APOS theory, algebraic factoring
PROSES BERPIKIR SISWA KELAS V SEKOLAH DASAR DALAM MEMECAHKAN MASALAH MATEMATIKA Sudibyo, Nugroho Arif; Budiyono, Budiyono; Sujadi, Imam
Jurnal Pembelajaran Matematika Vol 2, No 7 (2014): Pembelajaran Matematika
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Abstract

Abstract: This study aim to describe the thinking process of elementary school fifth grade students in solving mathematics problem based on Krulik and Rudnick rule. This research was a qualitative research using the case study method. Sampling was done by a combination of purposive sampling and snowball sampling technique. The subject of research that used in this study was twelve subjects, that was: four high-ability students, four moderate-ability students and four low-ability students. The data was validated by using a time triangulation test. The results show: (1) At the step of reading and thinking, students do not directly identify all of the facts in writing. After identifying the facts, students identify questions from the given problem. Furthermore, students do not portray the problems encountered but directly process the needed information to answer the question; (2) At the step of exploring and planning, students organize the information on the matter. Students consider enough information on the matter because there is a relation between the known and the asked. On the other hand, students do not make tables, diagrams, charts, tables or images from a given problem, but directly chose a strategy to answer the question; (3) At the step of selecting the strategy, students use the making list of all possible answers strategy. Students write down all the possibilities answers in the answer sheet. However, there are students who also use the guessing and testing strategy, guess how the value of variable and test whether the variable value is correct. In addition there are also students who use simulation or experimental strategies, students try to experiments; (4) At the step of finding the answer, the student use estimation in finding the answer. On the other hand, there is one student who uses algebra ability to find the answers. Students are also assuming the third day as a variable. After obtaining the value of the variable, student examine whether the numbers are correct. (5) At the step of reflecting and extending, students can review the results of the calculation by return on the answer sheet. Then students find that the answer is correct. Furthermore, students assume no alternative other solutions. Then the students do not make a generalizations of matter and discover the concept of matter.Keywords: process thinking, mathematics and problem solving.
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE NUMBERED HEAD TOGETHER (NHT) DENGAN ASSESSMENT FOR LEARNING (AfL) MELALUI PENILAIAN TEMAN SEJAWAT PADA MATERI PERSAMAAN GARIS DITINJAU DARI KREATIVITAS BELAJAR MATEMATIKA SISWA MTsN DI KABUPATEN SRAGEN Muntasyir, Sholeh; Budiyono, Budiyono; Usodo, Budi
Jurnal Pembelajaran Matematika Vol 2, No 7 (2014): Pembelajaran Matematika
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Abstract

Abstract: This research is aimed to view: (1) which gives a better learning achievement,  learning Numbered Head Together (NHT) with the AfL through peer assessment, NHT or direct learning, (2) which gives better achievement, low, medium or high level creativity in mathematics learning, (3) which has better mathematics learning achievement, student having low, medium or high learning creativity on each learning model, (4) which learning model gives better achievement in learning mathematics, learning model Numbered Head Together (NHT) with the AfL through peer assessment, learning models Numbered Head Together (NHT) or direct learning model on each student’s creativity level. This research was a quasi-experimental research with 3x3 factorial design. The study population was all students MTsN in Sragen. The sampling technique used a stratified cluster random sampling. The samples were 294 students, consisted of 95 students in the first experimental class, 100 students in the second experimental class and 99 students in the control class. Data collected through mathematics achievement tests and questionnaires of study mathematics creativity. Hypothesis testing used two- way analysis of variance with unbalanced cells. The results show as follows. (1) The NHT with the AfL through peer assessment model provide a better learning performance than the NHT and direct learning model. The NHT model provide a better learning performance than the direct learning model. (2) Students with a high level learning creativity have a better achievement than students who have medium and low creativity. Students with medium and low level creativity gain the same learning achievement. (3) In the NHT learning model with the AfL through peer assessment, students with a high level creativity gain better learning achievement than students with medium learning creativity, but when compared with students who have low learning creativity get the same academic achievement. While using NHT  model and direct learning, students with high, medium and low creativity get the same learning achievement. (4) At the high level of creativity,  NHT with the AfL through peer assessment model gived a better performance than the NHT and direct learning, NHT and direct learning models provide the same learning performance. Students having medium and low level of creativity provide the same learning achievement in each learning models.Keywords : NHT, AfL, peer assessment,  creativity in learning.
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 Sholikhah, Octarina Hidayatus; Budiyono, Budiyono; Sari S, Dewi Retno
Jurnal Pembelajaran Matematika Vol 2, No 7 (2014): Pembelajaran Matematika
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Abstract

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 Intelligences
EKSPERIMENTASI PEMBELAJARAN MATEMATIKA DENGAN MENGGUNAKAN MODEL PEMBELAJARAN KOOPERATIF TIPE NHT DAN TIPE JIGSAW PADA POKOK BAHASAN TRIGONOMETRI KELAS XI-IPA SMA SE-KABUPATEN KUDUS DITINJAU DARI MOTIVASI BELAJAR PESERTA DIDIK TAHUN PELAJARAN 2013/2014 Kurniadi, Arsa’ad; Mardiyana, Mardiyana; Riyadi, Riyadi
Jurnal Pembelajaran Matematika Vol 2, No 7 (2014): Pembelajaran Matematika
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Abstract: The objectives of this research were to determine: (1) which produces better mathematics learning achievement, NHT, Jigsaw, or conventional learning model, (2) which has better mathematics learning achievement, the students with high, medium or low learning motivation, (3) on each learning model, which provide mathematics learning achievement better, the student with high, medium or low learning motivation, (4) on each level of student mathematics learning motivation, which provide learning achievement better, NHT, Jigsaw, or conventional learning model. This research was quasi experimental research with factorial design 3 x 3. The research population was all XI science grade students of senior high school in Kudus regency in academic year 2013/2014. The sampling technique of this research was done by stratified cluster random sampling. The techniques of data collection by using test, questionnaire, and documentation. Hypothesis testing used two way analysis of variance with the unbalanced cells. The results of the research were as follows: (1) Jigsaw learning model produces better learning achievement than NHT and conventional learning model. NHT learning model show learning achievement as good as conventional learning model. (2) The students who have high learning motivation have a better academic achievement than the students who have medium and low learning motivation. The students with medium learning motivation have learning achievement as good as the students with low learning motivation. (3) In Jigsaw learning model, students who have high learning motivation has academic achievement as good as students who have medium learning motivation, students who have high learning motivation have a better academic achievement than students who have a low learning motivation and students who have medium learning motivation are having academic achievement as good as students who have a low learning motivation. In the NHT learning model and conventional, the students who have high, medium and low learning motivation have equally good learning achievement, (4) In high learning motivation, Jigsaw learning model produces academic achievement better than NHT and conventional learning model. NHT learning model produce academic achievement as good as conventional learning model. In medium and low learning motivation, Jigsaw, NHT and conventional learning model produce equally good learning achievement.Key words:   Jigsaw learning model, NHT learning model, Conventional learning model, Learning Motivation, Mathematics Learning Achievment.
PROFIL PEMECAHAN MASALAH SISWA TUNA GRAHITA PADA PEMBELAJARAN MATEMATIKA DENGAN MENGGUNAKAN PENDEKATAN FORMAL DAN PENDEKATAN FORMAL DIVARIASI PENDEKATAN FUNGSIONAL Anggraeny, Vivi Fenty; Usodo, Budi; Riyadi, Riyadi
Jurnal Pembelajaran Matematika Vol 2, No 7 (2014): Pembelajaran Matematika
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Abstract: The objectives of this research were to investigate: (1) the profile of problem solving in mathematics of a deaf child in solving the geometrics problems with the learning using the formal approach; and (2) the profile of problem solving in mathematics of a deaf child in solving the geometrics problems with the learning using the formal approach varied with the functional approach. This research used the qualitative explorative research method. The subject of the research consisted of one deaf male student and was taken by using the purposive sampling technique. The subject was determined according to the following considerations: (1) the student had not too few and not too many incorrect answers; and (2) he could communicate well based on the information obtained from his teacher. The data of the profile of problem solving in mathematics were gathered through test and interview with the student on how to solve the test problems. The data were validated by using the time triangulation. They were analyzed by using the interactive model of analysis consisting of the following measures: data reduction, data display, and conclusion drawing. The results of the research  were as follows: 1) The problem solving in Mathematics of the deaf child with the learning using the formal approach results in the following findings: (a) recognizing some colors when they are the colors of flat structures; (b) being difficult to understand the meanings of questions if they contain more than one answer; (c) being unable to recognize some spatial structures well; (d) being unable to use ruler; and (e) unable to differentiate the letters well. 2) The problem solving in mathematics of the deaf child with the learning using the formal approach varied with the functional results in the following findings: (a) at the beginning the child is difficult to recognize some of the spatial structures, but after having practiced drawing with colors and then compared them with the ones in the spatial structure learning, that is the ones in the test problems and the ones in the learning instruments, he gradually recognizes the spatial structure; (b) principally he can recognize the spatial structures, but when the spatial structures are put vertically and horizontally, he feels difficult to recognize them; (c) the students is difficult to count the number of sides of quadrangle pyramid ; and (d) he is difficult to understand the meanings of questions so that the answers given are not synchronized with the questions.Keywords : Profile, problem solving, deaf, formal approach, and functional approach
PENGEMBANGAN MODEL PEMBELAJARAN TPS BERBASIS AfL MELALUI PENILAIAN TEMAN SEJAWAT UNTUK PEMBELAJARAN MATEMATIKA PADA POKOK BAHASAN SISTEM PERSAMAAN LINEAR DUA VARIABEL DI SMP/MTS SE-KABUPATEN MAGELANG TAHUN PELAJARAN 2013/2014 Wibowo, Putra Adi; Budiyono, Budiyono; Subanti, Sri
Jurnal Pembelajaran Matematika Vol 2, No 7 (2014): Pembelajaran Matematika
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Abstract: The objectives of the research were to find out: (1) how the process and the product of an AfL-based TPS learning model development were through peer assessment, (2) which learning model provided better learning outcome, the AfL-based TPS through peer assessment or the TPS one, (3) which students had better learning outcome, those with high, those with moderate or those with low learning independency, (4) in each learning model, which students had better learning outcome, those with high, those with moderate or those with low learning independency, and (5) in each category of learning independency, which learning model provided better learning outcome, the AfL-based TPS through peer assessment or the TPS one. This research was divided into two stages. The first one was learning model development belonging to research and development research. This stage included material collection, model prototype designing, model tryout, and model establishment. The tryout was conducted in four learning. The second was model effectiveness test belonging to a quasi-experimental research with a 2x3 research design. The population was the first semester VIII graders of SMP/MTs (Junior High Schools/Islamic Junior High Schools) throughout Magelang Regency  in the school year of 2013/2014. The sampling technique used in this research was stratified cluster random sampling. The sample of research consisted of 138 students: 68 for the experiment 1 class and 70 for the experiment 2 class. Considering the result of hypothesis testing, the following conclusions could be drawn. (1) The AfL-based TPS learning model through peer assessment could be applied at SMP/MTs level in Magelang Regency. (2) The learning outcome of the students treated with AfL-based TPS learning model through peer assessment was better than that of those treated with the TPS one. (3) The learning outcome of students with high learning independency was better than that of those with moderate and low one. The learning outcome of the students with moderate learning independency was as good as that of those with low one. (4) In both the AfL-based TPS learning model through peer assessment and the TPS, the learning outcome of students with high learning independency was better than that of those with moderate and low one, but that of the students with moderate learning independency was as good as that of those with low one. (5) In high, moderate, and low categories of learning independency, the learning outcome of the students treated with AfL-based TPS learning model through peer assessment was better than that of those treated with the TPS one.Keywords: Think Pair Share (TPS), Assessment for Learning (AfL), Peer Assessment, Student Learning Independency.

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