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Journal of Mathematics and Mathematics Education (JMME)
Published by Universitas Sebelas Maret
ISSN : 20898878     EISSN : 27158276     DOI : https://dx.doi.org/10.20961/jmme
Core Subject : Education,
Education Mathematics
Journal Mathematics and Mathematics Education (JMME) is a peer-refereed open-access journal which has been established for the dissemination of state-of-the-art knowledge in the field of mathematics and mathematics education. This journal was founded by the Magister of Mathematics Education, Universitas Sebelas Maret. It is published twice in a year (June and December). The JMME welcomes high-quality manuscripts resulted by researchers, scholars, teachers, and professionals from a research project in the scope of Pure Mathematics, Computing Mathematics, Statistics, Mathematics Learning, Evaluation and Assessment in Mathematics Learning, STEAM, Ethnomathematics, ICT in Mathematics Education, Design / Development Research in Mathematics Education
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 101 Documents
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EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE TAI BERBASIS AFL PADA PERSAMAAN GARIS LURUS DITINJAU DARI SIKAP SISWA TERHADAP MATEMATIKA Nurcahyo, Adi; Budiyono, Budiyono; Usodo, Budi
Journal of Mathematics and Mathematics Education Vol 6, No 1 (2016): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v6i1.10034

Abstract

Abstract: The purpose of this research was to determine the effect of learning models on mathematics achievement viewed from student attitude toward mathematics. The learning models compared were Team Assisted Individualization (TAI) based Assessment for Learning (AfL), TAI, and conventional learning model. The research was quasi experimental. The population of this research was all students of grade VIII State Junior High School of the District Karanganyar, academic year 2013/2014. The samples in this research were SMPN 1 Tasikmadu, SMPN 2 Jaten, and SMPN 2 Colomadu taken by stratified cluster random sampling. Instruments used to collect data were mathematics achievement instrument test and questionnaires students toward mathematics instrument. Data analysis technique used hypothesis test with two-way analysis of variance with unbalanced cells. From the results of the analysis, can be concluded that: 1) the learning achievement in mathematics of the students who were learning mathematics with cooperative learning model TAI Based AfL were better than the ones who were learning mathematics with cooperative learning model TAI and conventional learning model, however the students who were learning mathematics with cooperative learning model TAI were better than the ones who were learning mathematics with conventional learning model, 2) the learning achievement in mathematics of the students with the high attitude toward mathematics were better than the ones with the medium and low attitude toward mathematics, however the students with the medium  attitude toward mathematics were better  than the ones with the low attitude toward mathematics, 3) in the cooperative learning model TAI Based AfL, the learning achievement in mathematics of the students with ones who have the high attitude toward mathematics were better than the students with the low attitude toward mathematics, and students with the medium attitude toward mathematics were as good as the ones who have low attitude toward mathematics as well. In the cooperative learning model TAI and conventional learning model, the students with the high, medium, and low attitude toward mathematics had the same achievement in learning mathematics, 4) in the students with the high attitude toward mathematics, the learning achievement of the students who were learning mathematics with ones who have cooperative learning model TAI Based AfL were better than the students were learning mathematics with cooperative learning model TAI, the students who were learning mathematics with cooperative learning model TAI had the same achievement in learning mathematics with conventional learning model, and the students who were learning mathematics with cooperative learning model TAI Based AfL had the same achievement in learning mathematics with cooperative learning model TAI. The students with the medium and low attitude toward mathematics had the same achievement in learning mathematics among the ones who were given the cooperative learning model TAI Based AfL, TAI, and conventional learning model.Keywords: Team Assisted Individualization (TAI), Assessment for learning (AfL), students attitude toward mathematics, achievement learning mathematics.
PENGEMBANGAN MODUL PEMBELAJARAN DENGAN PENDEKATAN DISCOVERY LEARNING PADA MATERI LIMIT FUNGSI ALJABAR KELAS X DI SMA INSAN CENDEKIA SUKOHARJO TAHUN AJARAN 2015/2016 Wulandari, Setyati Puji; Budiyono, Budiyono; Slamet, Isnandar
Journal of Mathematics and Mathematics Education Vol 7, No 1 (2017): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v7i1.20236

Abstract

Abstract: The aims of this research were to: 1) determine the validity of the results of the development of learning modules with discovery learning approach on the material of limit algebra functions; 2) determine the practicality of the development of learning modules; 3) determine the effectiveness of the development of learning modules; 4) determine whether students achievement in the material of limit algebra functions using learning modules is better than the students who don’t use it. The development of the modules was done through the modified Four D, namely define, design, development, and disseminate. Data were analyzed using descriptive analysis. Validity analysis was based on an expert assessment. Practicality analysis was based on implementation of learning module. Effectiveness analysis was based on student response after using the module. Analysis of student achievement was based on t-test hypothesis. The result concluded that: 1) learning modules with discovery learning approach to the material limit algebra functions declared fit for use by experts with the validity score of 3.44 and be in very good criteria; 2) learning modules expressed practical use in learning with the practicality score gained from the sheet of implementation of learning is 0.919 and be in very good criteria; 3) learning modules is effective for use in learning with the scores of effectiveness obtained from the sheet of student's response to the module is 3.03 and be in good criteria; 4) learning achievement of students who use the learning module is better than students who don’t use it, but isn’t significant.Keywords: learning module, discovery learning, limit algebra functions.
PENCERMINAN PADA DIMENSI TIGA Kuncoro, Anggit Dwi; Pramudya, Ikrar
Journal of Mathematics and Mathematics Education Vol 8, No 2 (2018): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v8i2.25836

Abstract

Abstract: The concept of reflection in three-dimensional is almost the same as the concept of reflection in the two-dimensional. However, the mirror in three-dimensional is in the form of flat plane.  Reflection in three-dimensional is a function that maps each point in such a way to meet the following requirements: distance between the prapeta point and the mirror is the distance between the mirror to the mapping result, the line connecting prapeta point with the mapping must be perpendicular to the mirror, and the structure and its reflection must be congruent. To get the reflection function, it can be carried out analytically. First, take flat plane as a mirror and the point that will be reflected in three-dimensional. A straight line is made through that point and it is perpendicular to the mirror, so the breakpoint can be determined. By utilizing shifts in three-dimensional, translucent point can be shifted in line with vector where is the point and is the starting point. So, the point as the result of mirroring can be obtained. The results of this study reveal that: mirroring in three-dimensional is a transformation because its function is a bijective. Reflection is involution which means that the results of twice multiplications are identity. Mirroring is not commutative. The result of twice parallel reflection composition can be called as reflection. The result of n multiplication of mirroring composition parallel to the coordinate and there is a distance is called as reflection.Keywords:Involution, Composition, Transformation.
Application of Moodle as Authentic Assessment in Learning Mathematics in SMK HE, Chrisnawati; Wulandari, Arum Nur; Sutopo, Sutopo; Kuswardi, Yemi
Journal of Mathematics and Mathematics Education Vol 10, No 2 (2020): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v10i2.47082

Abstract

The purpose of this study was to develop an assessment system using Moodle e-learning to improve mathematics learning outcomes in terms of knowledge, skills and attitudes of students. The development design in this study is more on how to develop learning activities with authentic assessment that must be carried out by the teacher which of course will be very difficult if everything is paper-based. The implementation of a reliable assessment with easy administration by the teacher becomes the consideration of the researcher. And with regard to the pandemic conditions that are being experienced by the Indonesian nation, online learning is an option for students and teachers. Even in the assessment that must be carried out. For this reason, the Moodle application is an alternative that allows students to access teaching materials and practice problem solving easily. This is very interesting to do a development study in SMK, why? Because vocational students usually lack positive attitudes towards mathematics. The use of the Moodle application in learning mathematics in the classroom is certainly the teacher's job to limit the time to face students, and the lack of positive attitudes of these students into "energy" to optimize student abilities. This research was conducted at SMK Warga Surakarta, in class XII Machines, using the Thiagarajan RnD 4D steps, namely Define, Design, Develop and Disseminate. From this research, an authentic assessment instrument has been developed using the Moodle application on the Limit Function material. By reviewing the basic competencies in the Function Limit material, 20 questions were developed in the C2 (8 points), C3 (6 points) and C4 (6 points) categories and validated with a professional judgment on the test instrument. In the student attendance data, it appears that the desire of students to improve their understanding of the Limit Function material is quite high, more than 70% of students want to repeat the class independently. Also, the average student attendance was 13.4 out of 10 meetings planned in the teacher's lesson plan (1 meeting for the implementation of daily tests). From the average value of assignments, there was an increase in the grades in assignment 1 and assignment 2, but in assignment 3, the average score of student achievement decreased, this was possible because the material in assignment 3 was a continuation of the material for assignments 1 and 2, but if viewed from the frequency of doing assignments in each task session, there was a decrease in the number of frequencies. This can be seen in assignment 2, where the average student did the assignment 2.87 on task 1, and in task 2 the average student did 2.43 times with the results significantly increasing. Meanwhile, the average daily test for students in class XII M1 was 78.7, which means that the class average was above the school's KKM and 73.3% of students obtained learning outcomes above the KKM on the Function Limit material. It can be said that learning can improve student learning outcomes and motivate students, because from the response questionnaire, 86.7% of students said they were motivated to try the test to get good results.
PENGEMBANGAN MODUL MATEMATIKA BERILUSTRASI KOMIK PADA MATERI SKALA DAN PERBANDINGAN KELAS VII SMP/MTs Ariastutik, Endah; Kusmayadi, Tri Atmojo; Sujadi, Imam
Journal of Mathematics and Mathematics Education Vol 6, No 2 (2016): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v6i2.10056

Abstract

Abstract: This study aims at: 1) investigating elegibility of comic-illustrated mathematics module on the materials of scale and comparison for grade VII students of SMP/MTs, 2) investigating the effectiveness of comic-illustrated mathematics module on the materials of scale and comparison for grade VII students of SMP/MTs. This study was a research and development (R & D) in mathematics learning at SMP/MTs. The applied development model was a development model postulated by Borg and Gall modified by Sukmadinata, which consists of three stages, including: 1) preliminary research, 2) development, and 3) field testing, each of which contains several steps. The product validation process was carried out by material experts, media experts, and respondents. The effectiveness testing for the module carried out in MTs Negeri Ngawi. The data collecting instrument used was the mathematics performance test. The content validity was measured by validators. The reliability test for measuring the test instrument applied KR-20 formula and the discriminatory power used product-moment correlation formula by Karl Pearson. The balance test was carried out by using t-test. The prerequisite tests covered normality test using Lilliefors testing method and homogeneity test using Barttlet method. The experimental design for this research was randomized post-test-only control group design. On the basis of the research findings and development, the research is concluded: 1) the comic-illustrated mathematics module was feasible to be used in learning process, the comic-illustrated mathematics module is considered feasible when the evaluation result from retriever is “good”, 2) the average students learning achievement in experiment class is better than that in control class, this conclusion is in accordance with the hypotheses proposed, namely learning with comic-illustrated mathematics module on the materials of scale and comparison for grade VII of SMP/MTs is more effective than direct learning without comic-illustrated mathematics module.Keywords: Learning Module, Mathematics Comic, Scale and Comparison.
DEKOMPOSISI GRAF MATAHARI Musthofa, Putri Rizqi; Kuswardi, Yemi
Journal of Mathematics and Mathematics Education Vol 8, No 1 (2018): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v8i1.25820

Abstract

Abstract:Graph theory is a branch of mathematics that facilitates problem solving. There are a lot of researches which concern on this issue. Various kinds of terms are introduced, one of them is graph decomposition. Graph decomposition is sub graphs collection of non-empty G graph {Hi} until Hi = 〈Ei〉 for non-empty sub graph Ei of E (G), where {Ei} is a partition of E (G). Sub graph Hi in decomposition G do not contain of isolated points. If {Hi} is a decomposition of G, it is denoted by .The discussion of graph decomposition can be developed in graph decomposition through various types. One of the types is decomposition of sun graphs. Sun graph is a graph formed from a circle Cn in which each vertex on a circle graph is given one additional vertex with a degree. So, each vertex in sun graph has 3 degrees, except the edge of cortex which only have 1 degree. The sun graph is the result of corona between two graphs, namely a circular graph with n vertex and complement of a complete graph with 1 number of vertex . The sun graph is denoted by where n is the number of vertex in circle graph.  If the vertex naming refers to one vertex (with clockwise rules) and  additional vertex naming connected to a circle vertex graph (vi), where the additional vertex has a degree of one, then the rule of naming is and sun graph is partitioned into a sub graph H_i = 〈Ei〉 in the form of K2 where i ≠ j so that H_i∩H_j = ∅, for i = 1,2,3, ..., n with sub graph If every i + 1, i + 2> n has an implicit + 1 and i + 2 will be expressed as an integers 1,2,3, ..., n (mod n), then the sun graph is 2K2-decomposition. So, for sun graph n ≥3 is 2K2-decomposition.Keywords:Decomposition, Sun Graph. 
An Analysis of Students Geometry Skills with Different Visual-Spatial and Logic-Mathematic Intelligence in Solving the Problem of Solid Plane Geometry Astuti, Desi Puji; Sutopo, Sutopo; Nurhasanah, Farida
Journal of Mathematics and Mathematics Education Vol 10, No 1 (2020): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v10i1.37732

Abstract

This paper aims to find out the geometry skills of students with different levels of visual-spatial and logic-mathematic intelligence in solving the problem of solid geometry plane surfaces. It is qualitative descriptive research. Interview and test were employed to get data about students’ geometry skills in solving the problem of solid geometry plane surfaces. To maintain the worthiness of the data, the researcher implemented the time triangulation method. The data analysis comprised of data reduction, data display, and verification. This research used purposive sampling to determine the subjects.  The results of this research indicated that the students with low visual-spatial intelligence and low logic-mathematic intelligence had visual skills level 0, the verbal skills did not reach level 0, the logical skills did not reach level 0, drawing skills of subject RR1 was level 0 and subject RR2 did not reach level 0, and applied skills level 1. The students with low visual-spatial intelligence and high logic-mathematic intelligence had visual skills level 0, verbal skills level 2, logical skills level 1, drawing skills level 1, and applied skills level 1. The students with high visual-spatial intelligence and low logic-mathematic intelligence had visual skills level 0, verbal skills level 2, logical skills level 0, drawing skills level 0, and applied skills level 1. The students with high visual-spatial intelligence and high logic-mathematic intelligence had visual skills level 0, verbal skills level 2, logical skills level 1, drawing skills level 1, and applied skills level 1..
The Process of Student's Mathematic Abstract from Spatial Intelligence Khasanah, Nor; Nurkaidah, Nurkaidah; Dewi, Rosmala; Prihandika, Yusuf Arkham
Journal of Mathematics and Mathematics Education Vol 9, No 2 (2019): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v9i2.48396

Abstract

Every student must have mathematical abstraction skills. Research with a qualitative approach aims to identify the mathematical abstraction process of students when working on geometric material problems in terms of spatial intelligence. By using a descriptive design, apart from the researcher as the main instrument, the mathematical abstraction test, the spatial intelligence test, and the interview reference were used as auxiliary instruments. A total of 6 students from class VIII were selected through purposive sampling technique which was taken from each category of spatial ability which had been classified into high, medium and low criteria. Based on data analysis, students' mathematical abstraction can be grouped into 4 levels, namely: recognition, representation, structural abstraction, and structural awareness. The conclusions of this study are: 1) students with a high level of spatial intelligence can achieve all four levels of mathematical abstraction characteristics and activities, namely recognition, representation, structural abstraction, and structural awareness. 2) students with moderate spatial intelligence can only achieve two levels of mathematical characteristics and abstraction activities, namely recognition and representation. 3) students with low-level spatial intelligence are only able to achieve one level of mathematical abstraction characteristics and activity, namely recognition where students are able to remember previous activities and experiences related to the problems at hand. This shows that students with moderate and low-level spatial intelligence do not have adequate abstraction skills in the concept of geometry.
EKSPERIMENTASI MODEL PROBLEM BASED LEARNING DAN MODEL PEMBELAJARAN MISSOURI MATHEMATICS PROJECT DITINJAU DARI SIKAP SISWA TERHADAP MATEMATIKA PADA MATERI PERSAMAAN DAN PERTIDAKSAMAAN LINEAR SATU VARIABEL KELAS VII SMP NEGERI SE-KABUPATEN BELITUNG Irnistisia, Firna; Kusmayadi, Tri Atmojo; Riyadi, Riyadi
Journal of Mathematics and Mathematics Education Vol 6, No 1 (2016): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v6i1.10046

Abstract

Abstract: The objective of this research was to investigate the effect of the  learning models on the learning achievement in mathematics viewed from students attitude toward mathematics. The learning models compared were the problem based learning (PBL) type, the cooperative learning model of the missouri mathematics  project (MMP) type, and the direct learning model. This research used the quasi experimental research. Its population was all of the students in Grade VII of State Junior Secondary Schools of Belitung regency in Academic Year 2014/2015. The samples of the research were taken by using the stratified cluster random sampling technique and consisted of 285 students. They were grouped into three classes, namely: 95 students in Experimental Class 1, 96 students in Experimental Class 2, and 94 students in Control Class. The instruments to gather the data were test of achievement in learning mathematics and the students attitude toward mathematics questionnaire. 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 PBL type results in a better learning achievement in Mathematics than the cooperative learning model of the MMP type  and  the  direct  learning  model,  the cooperative  learning  model of  the  MMP type results in a better learning achievement in Mathematics than the direct learning model. 2)  The  students  with  the high attitudes toward mathematics have a better learning achievement in mathematics than those with the moderate students attitudes toward mathematics and  those with  the low students attitudes toward mathematics, the students with the moderate attitudes toward mathematics have a better learning achievement in mathematics than those with the low students attitudes toward mathematics. 3) There was an interaction the aforementioned learning models and the categories students attitude toward mathematics on the learning achievement in mathematics of the students.Keywords: PBL, MMP, and students attitude toward mathematics.
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE TEAM ASSISTED INDIVIDUALIZATION (TAI) DAN TEAMS GAMES TOURNAMENT (TGT) PADA MATERI PERSAMAAN DAN PERTIDAKSAMAAN DITINJAU DARI GAYA BELAJAR SISWA KELAS X SMK SE-KABUPATEN NGAWI TAHUN PELAJARAN 2015/2016 Nirawati, Lia Septy; Kusmayadi, Tri Atmojo; Sujadi, Imam
Journal of Mathematics and Mathematics Education Vol 7, No 1 (2017): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v7i1.20248

Abstract

Abstract: The purpose of this study was to know the effect of the learning models on the learning achievement in mathematics viewed from the students adversity quotient. The learning models compared were the cooperative learning of TAI, TGT, and direct learning model. The type of research was a  quasi-experimental research with a  3x3 factorial design. The study population was all grade 10 students of Secondary Schools in Ngawi Regency in the academic year of 2015/2016. Instruments used for data collection were mathematics achievement test and learning style questionnaire. The data analysis technique used was the two-way ANOVA with unequal cell. Based on the hypothesis test, it was concluded that: 1) The mathematics learning achievement of the students who were treated by TAI learning model was better than the mathematics learning achievement of the students who were treated by TGT and direct learning model on equality and inequality, the mathematics learning achievement of the students who were treated by TGT learning model was better than the mathematics learning achievement of the students who were treated by direct learning model on equality an inequality; 2) The mathematics learning achievement of the students with visual type was better than the mathematics learning achievement of the students with auditory or kinesthetic type and the learning achievement of auditory type students was better than  the  learning  achievement of kinesthetic type students on equality and inequality; 3) The visual type students who were treated by TAI learning model had better mathematics learning achievement than the students with TGT or direct learning model and the students mathematics learning learning  achievement with TGT learning model was same the students with direct learning model; the mathematics achievement of auditory type students who were treated by TAI learning model had better mathematics learning achievement than the students with TGT or direct learning model and students who were treated by TGT learning model had better mathematics learning achievement than the students with direct learning model; the mathematics achievement of kinesthetic type students who were treated by TAI, TGT, and direct learning models had the same mathematics learning achievement; 4) In TAI, TGT and direct learning model, the mathematics learning achievement of visual type, auditory, and kinesthetic had the same mathematics learning achievement.Keywords: TAI, TGT, Direct Learning Model, Learning Style, Mathematics Learning Achievement

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