#### Results in Journal NUMERICAL: Jurnal Matematika dan Pendidikan Matematika: 41

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Setiawan Setiawan, Khairiani Idris
Published: 23 June 2020
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 55-65; doi:10.25217/numerical.v4i1.859

Abstract:
The development of the curriculum is a dynamic process which aims to comply with the evolvement of knowledge and technology. However, the implementations of the reformed curriculum have been acknowledged to raise various issues. Likewise, among the issues related to the implementation of the Curriculum 2013, known as K13, in Indonesia was teachers’ difficulties, including mathematics teachers. This study aimed at investigating and describing the difficulties faced by junior high school mathematics teachers in implementing K13. The study applied a mixed-method approach involving 66 from a total of 78 junior high school mathematics teachers in Lhokseumawe, Aceh Province, as the study sample. The findings showed that 50%-60% participants encountering difficulties in components of training and socialization of K13, lesson planning, learning activities, and assessment and reporting the learning outcome. Although 93.94% teachers have taken the K13 training, only 56.45% of them sometimes implemented the curriculum in the classrooms. Additionally, the main resource of the difficulties was the ineffectiveness of training and socialization of K13 the teachers had attended. The teachers expected that there would be a learning community or forum as the follow-up action of the training, which can supervise the implementation of K13 in their classes. The directions for further research to improve curriculum implementation were discussed.
Ulumul Umah
Published: 12 June 2020
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 41-54; doi:10.25217/numerical.v4i1.638

Abstract:
Students’ difficulty in calculus can be related to their ability in covariational reasoning in school or college. Reasoning process involves high-level cognition. Nevertheless, the relationship between cognitive style and covariational reasoning has not been investigated more specifically. Cognitive style in this study was characterized by field-dependent and field-independent category. This paper describes the covariational reasoning process of field-dependent and field-independent students while constructing the graph of dynamic events. Students’ cognitive style data obtained through the Group Embedded Figures Test (GEFT), while the covariational reasoning data obtained through the covariational problem test and verified by several interviews. The results showed that there was no significant consistent difference between field-dependent and field-independent students in their covariational reasoning level, but there were differences in students’ way of reacting to the context of the problems. Field-dependent subjects exhibited their mental action inconsistently when they faced a new problem that more complex than before. This finding indicated that we need to set the problem to make it an effective stimulus in developing student’s covariational reasoning ability.
Published: 8 June 2020
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 23-30; doi:10.25217/numerical.v4i1.702

Abstract:
The production process is included in the Discrete Event System (DES). The DES independent variable generally depends on the event, so an event is influenced by the previous event. Max-plus algebra can be applied in the DES problem to change the system of nonlinear equations obtained into linear equations. Max-plus algebra is a set of real numbers combined with equipped with operations max and plus ⊗ or can be denoted with . An effective and efficient production process needs to pay attention scheduling steps well. The purpose of this research is to determine the Shuttlecock T3 production schedule using eigenvalue and eigenvector in max-plus algebra. The research method in this research is study of literature and observation. Literature study is carried out by studying references about max-plus algebra, especially material related to scheduling problems, while observation are carried out in the process of taking data of the Shuttlecock T3 production process in Surakarta. The linear equation system that is formed based on the results of the observation is then presented in the form and . The periodic time and initial system production time are determined from the eigenvalue and eigenvector matrix where . The results of the research showed that the production system run periodically every 249 minutes, then the best time for each processing unit to start working can be determined, as well as the Shuttlecock T3 production schedule according to the working hours more effective and efficient can be determined too.
Malalina Malalina, Ratu Ilma Indra Putri, Zulkardi Zulkardi, Yusuf Hartono
Published: 7 June 2020
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 31-40; doi:10.25217/numerical.v4i1.870

Abstract:
Ethnomathematic is one of mathematics learning innovations which integrate cultures to preserve local cultural values. A treasure quest at Musi River Palembang is included as a culture because it is the community activity with its unique characteristic carried out at Musi River to meet the necessities of life, and is passed down from one generation to the next generation. The research aims to explain aspects of mathematical computation to treasure quest at Musi River Palembang. A literature study is a method used in this research. Firstly, formulating research problem was how the mathematical aspects connect to the finding of treasure quest at Musi River Palembang. Then, literature related to the problem of the study was reviewed. The next step was evaluating data based on the literature to answer the research problem. After that, data analysis was conducted. Descriptive analysis was used to analyze the data. Lastly, the data was interpreted to obtain a conclusion. The interpretation showed that the treasure quest at Musi River had mathematical counting aspects namely, counting the number of human resources in a treasure quest group; counting the wages for each person in the team based on his or her duties; counting expenses required for a treasure quest; counting the number of objects obtained, and determining the sale price of the objects. The activity also contained a mathematical concept in the mathematics learning of some subjects at VII grade of junior high school level namely, the operation of the material count, social arithmetic, and sets
Imam Kusmaryono, Akbar Muntoha Gufron, Achmad Rusdiantoro
Published: 4 June 2020
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 13-22; doi:10.25217/numerical.v4i1.770

Abstract:
This study is a mixture of quantitative and qualitative with sequential explanatory designs. The study aims to (1) analyze the improvement of student achievement in learning after scaffolding, (2) evaluate the level of students 'mathematics anxiety, and (3) describe the role of scaffolding in changing students' perceptions of mathematics anxiety in classroom learning. Sampling through random sampling techniques obtained by students of class X-IPA-1 and X-IPA-2 in SMA Negeri 6 Semarang. Quantitative data analysis uses statistical test techniques: normality test, paired sample t-test, and N-gain test. Qualitative data analysis through interactive methods namely data collection, data reduction, data presentation, and drawing conclusions. Data validation techniques through the source and method triangulation. The results showed that (1) there was an increase in student learning achievement after the application of the scaffolding strategy by 33.0% to 34.5%; (2) there was a decrease in the level of mathematics anxiety in students by 90.4%; (3) through scaffolding, students succeed in reflecting and correcting mistakes in solving previous problems. This means scaffolding can be an effective strategy to help students move across different Zones of Proximal Development (ZPD). The scaffolding strategy has also created a positive classroom environment that encourages students to learn mathematics without fear.
Yayan Eryk Setiawan
Published: 2 June 2020
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 1-12; doi:10.25217/numerical.v4i1.839

Abstract:
Patterns generalization learning at the junior high school is more emphasis on the generalization of linear patterns. One problem in generalizing linear patterns is that students do not know the process of using trial and error strategies to generalize linear patterns. For this reason, the purpose of this study was to analyze the thought processes of 2 junior high school students who succeeded in generalizing linear patterns using trial and error strategies. The results show that there are two trial and error strategies that can be used to generalize linear patterns, namely: (1) Trial and error strategy by looking at the relationship of quantity consists of three steps. The first step is called relating, namely, the subject connects between the first term, the term in question, and difference. The second step is called searching, where the subject finds similarities by using addition and subtraction operations to obtain the nth term formula. The third step is called extending; the subject expands the pattern into more general structures by looking at the relationship between quantities. (2) Trial and error strategy by looking at patterns that consist of three steps. The first step is called relating, namely, the subject connects small positive integers by using arithmetic operations to obtain the first term and the second term. The second step is called searching, where the subject finds similarities by finding the formula for the first, second, and third terms. The third step is called extending, where the subject expands the pattern into more general structures by looking at the pattern that applies to the first, second, and third terms.
Annis Deshinta Ayuningtyas, Davi Apriandi
Published: 6 January 2020
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 119-130; doi:10.25217/numerical.v3i2.616

Abstract:
Pedagogical Content Knowledge (PCK) is one of the basic knowledge that pre -services teachers must-have. PCK explained how the teacher linked material knowledge with knowledge about teaching. By mastering PCK pre-services teachers are expected to carry out effective learning. The purpose of this study is to describe the ability of pre-service mathematics teacher PCK. This type of research is descriptive qualitative. The subjects of this study were two pre-service teachers for the Mathematics Education Department at the Universitas Sarjanawiyata Tamansiswa. The instruments used were observation sheets, questionnaire sheets, linear program test questions, and interview guidelines. The data analysis technique of this study used descriptive qualitative analysis techniques. The results showed that based on indicators of PCK ability, pre-service teachers already knew and understood core competencies, basic competencies, and learning indicators and could make learning objectives, learning materials, reference sources, approaches, strategies, methods, and mathematical learning models. In addition, pre-service teachers can also make assessment plans, both the affective, cognitive, and psychomotor domains as well as the remedial and enrichment programs. Pre-service teachers are quite flexible and confident in teaching even though there are pre-service teachers who speak in small voices and the intonation has not varied. When viewed from the material side, the material provided by pre-service teachers to students is good even though there are still a few shortcomings. In general, pre-service teachers have a good understanding of content and pedagogical knowledge in theory, but implementation in planning and learning in class is still lacking
Azwar Riza Habibi, Vivi Aida Fitria, Lukman Hakim
Published: 6 January 2020
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 131-137; doi:10.25217/numerical.v3i2.603

Abstract:
This paper develops a Neural network (NN) using conjugate gradient (CG). The modification of this method is in defining the direction of linear search. The conjugate gradient method has several methods to determine the steep size such as the Fletcher-Reeves, Dixon, Polak-Ribere, Hestene Steifel, and Dai-Yuan methods by using discrete electrocardiogram data. Conjugate gradients are used to update learning rates on neural networks by using different steep sizes. While the gradient search direction is used to update the weight on the NN. The results show that using Polak-Ribere get an optimal error, but the direction of the weighting search on NN widens and causes epoch on NN training is getting longer. But Hestene Steifel, and Dai-Yua could not find the gradient search direction so they could not update the weights and cause errors and epochs to infinity.
Published: 16 December 2019
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 83-94; doi:10.25217/numerical.v3i2.605

Abstract:
This study aims to determine the level of understanding of prospective mathematics teachers on line and angle material and their causes. This research is a case study. Subjects were selected using purposive sampling technique. This research instrument is an understanding test and interview guidelines. Method triangulation techniques are used to compare the results of understanding tests with interviews. Data analysis for understanding test results using a percentage level of understanding formula. Data analysis for interview results is data reduction, data presentation and conclusion drawing. The results showed that the level of achievement of the six aspects of understanding was less than 30%. The conclusions of this study are the level of understanding of prospective mathematics teachers in the material line and angle is still low.
Widiawati Widiawati, Indah Widyaningrum
Published: 16 December 2019
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 95-104; doi:10.25217/numerical.v3i2.503

Abstract:
The purpose of this study was to find out the mathematical communication skills of students during the scientific approach was applied using graphmatica software on function graph material in college. This research was an experimental study in the category of one group pretest posttest design involving 30 first semester students of mathematics education study program at STKIP Muhammadiyah Pagaralam. The results showed that students’ mathematical communication skills during the applied scientific approach using graphmatica software on function graph material were classified as very good. This means that the use of graphmatica software through the scientific approach can build students’ mathematical communication skills. Through the learning process based on a scientific approach consisting of observing, quetioning, associating, experimenting, and networking, students’ mathematical communication skills both verbally and in writing are classified as very good. For this reason, these activities have a positive influence on students. Beside building students’ mathematical communication this approach also influence students’ learning outcomes. Better the mathematical communication skills, better the learning outcomes. Therefore, building mathematical communication skills is very important in learning especially in learning through a scientific approach using graphmatica software. The use of graphmatica software can be used in other course such as calculus courses. So, graphmatica software can be used in other course so that it is not limited according to the design of the material to be implemented.
Westi Bilda, Dian Nopitasari, Desty Haswati
Published: 16 November 2019
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 77-82; doi:10.25217/numerical.v3i2.544

Abstract:
Activity sheet is one of the tools that can be used in the learning activities by applying the desired learning steps. The aim of this study is to find out there is an increase in spatial reasoning and self esteem of students after using a scientific-based activity sheet on Geometri Analitik Datar subject. This type of research is one-group pretest-posttets design conducted by researchers before and after scientific-based activity sheets as treatment of this research. The subjects of this study were the second semester students who are learning Geometri Analitik Datar course consisted of 30 students. The research instruments used ware spatial reasoning test in the form of multiple choice tests and a self esteem questionnaire. The technical analysis used were a descriptive analysis and N-Gain analysis. The result of the research on spatial reasoning shows the pretest average score is 58.83 and the posttest average score is 76.17. It means that there is a significant increasing result between pretest and posttest that is 17.34. While the result of self esteem shows the pretest average score is 52.07 and the posttest average score is 73.60. It means that there is a significant increasing result in self esteem result that is 21.53. The results of the spatial reasoning and self esteem gain distribution range, both of them included medium criteria, that is 80%. Thus it can be concluded that the spatial reasoning and self esteem of students increases after applying learning using a scientific approach based activity sheet.
Nuraini Nadhifa, Maimunah Maimunah, Yenita Roza
Published: 18 June 2019
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 63-76; doi:10.25217/numerical.v3i1.477

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, Netriwati Netriwati, Dona Dinda Pratiwi
Published: 17 June 2019
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 43-62; doi:10.25217/numerical.v3i1.417

Abstract:
This article aimed to find out the development of teaching materials in the form of modules by using Knisley's mathematical learning model on the subject of decent, interesting, and effective linear transformation used in lectures in Linear Algebra. The test subjects in this study were third semester students of Raden Intan Lampung State Islamic University. This research method is Research and Development (R & D) that uses the ADDIE Model (Analysis, Design, Development, Implementation, and Evaluation). The results of the expert assessment are feasible to use with an average score of 3.00 from material experts and 3.08 from media experts. The response of students in small group trials is interesting with an average score of 2.92, whereas in the trial of a large group the criteria are very interesting with an average score of 3.27. The results of the n-gain calculation at the pretest and posttest are 0.70 included in the high effectiveness category. Therefore, it can be concluded that the linear transformation module using Knisley's mathematics learning model is categorized as feasible, interesting, and effective to be used in Linear Algebra lectures
, Sri Irawati
Published: 15 June 2019
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 19-30; doi:10.25217/numerical.v3i1.421

Abstract:
This research aims to determine the increase in student learning activities and outcomes after being taught by using the quick on the draw learning strategy in the interpolation material. This type of research is classroom action research with a qualitative approach. This research was conducted at Madura University and those who were the subjects of the study were fourth semester students of 2017/2018 academic year mathematics education. Data collection techniques used are observation and test methods. From the data analysis it can be concluded that: (1) student activity has increased from 3.20 (good category) in the first cycle to 3.76 (excellent category) in the second cycle, (2) student learning outcomes have increased from 42.86 in the first cycle then increased to 85.71% in the second cycle. From the results of this study it can be concluded that the application of quick on the draw learning strategies can improve student learning activities and outcomes in interpolation material.
Erik Rinaldi, Ekasatya Aldila Afriansyah
Published: 15 June 2019
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 9-18; doi:10.25217/numerical.v3i1.326

Abstract:
This article is based on the fact that problem-solving is a basic skill that every student should possess. To improve the students mindset through the effort to find problem-solving independently, so the learning activities should be centered on the students. The purpose of this study is to determine the comparison and improvement of students mathematical problem-solving abilities, as well as student attitudes toward the learning model problem-centered learning and problem-based learning. The research method used was a quasi-experiment with purposive sampling. The first experimental class that was class VIII I that got problem-centered learning model as much as 31 students, and the second experimental class that was class VIII H who got the problem-based learning model as many as 31 students. From the research and statistical calculations result, obtained the conclusion that the mathematical problem-solving ability students who got the model centered learning problem was better than students who got the model of learning problem-based learning. Meanwhile, for improvement of problem-solving abilities of mathematical students who got the learning model problem-centered learning and problem based learning each intermediate interpretation. And generally, the students’ attitude to the learning of mathematics by using the learning model problem-centered learning and problem-based learning are well interpreted.
Hanifah Hanifah, Nanang Supriadi, Rany Widyastuti
Published: 15 June 2019
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 31-42; doi:10.25217/numerical.v3i1.453

Abstract:
Mathematical problem solving is a problem solving that uses mathematical problem solving. Students in the problem solving did not use the polya method so that students succeeded in difficulties. Educators still use conventional learning models so that students become bored, passive and reluctant to ask whether going forward working on the questions given by the educator, so that new learning models need to be applied. The e-learning learning model assisted with Edmodo learning media is an online presentation material on an Edmodo account using the mobile phone of students. PAM is the knowledge learned by students before getting learning material. This study aims to study the interaction of e-learning learning models assisted by Edmodo learning media to solve mathematical problems. This study is quantitative research. Data collection used with tests, interviews, collection and collection. The data analysis technique uses two-way anava test with cells that are not the same. From the results of the analysis, the influence of the e-learning learning model on mathematical problem solving abilities. It is necessary to question the high, medium, and low mathematical initial knowledge of Great mathematical problem solving ability, then there is no difference between assisted e-learning learning models edmodo, mathematical initial knowledge of mathematical problem solving abilities.
Published: 7 May 2019
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 1-8; doi:10.25217/numerical.v3i1.452

Abstract:
Students self-efficacy in learning mathematics and its resources, such as students positive emotional conditions, have been impactful to create a pleasant mathematical learning and the reduction of students mathematics anxiety. This study investigated the differences between students mathematics anxiety before and after the implementation of mathematics teaching materials based on self-efficacy in statistical learning in mathematics classroom. This study was an experimental study with One Group Pretest-posttest Design. The population of the study was all eight grade students in one of the junior high schools in Pekalongan in the 2017/2018 academic year. The sample of the study involved 28 students taken by cluster sampling technique. After analyzing the data, this study found that mathematics teaching materials based on self-efficacy effectively helped reduce students mathematics anxiety, either when they learn in math class or when they face math tests, or both. Even so, the level of students anxiety when they face the math test was at a moderate level, both before and after the treatment, i.e. the implementation of mathematics teaching materials based on self-efficacy in the learning. Therefore, further research about the effect of this teaching materials on students mathematics anxiety when facing tests is still needed
Ni Komang Vonie Dwianjani, I Made Candiasa
Published: 12 December 2018
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 153-166; doi:10.25217/numerical.v2i2.276

Abstract:
This research aimed for 1) analyzing the factors which contributed the ability to solve mathematical problems and (2) identifying the domination of the aforementioned factors. This research was conducted to grade 8 in all state junior high schools in the city of Singaraja, academic year of 2017/2018 with 377 participating students which were taken with stratified cluster random sampling technique. This research method was an quantitative ex-post facto research. The data of this research were taken using story math problem about SPLDV, Pythagoras, Lingkaran and were analyzed with factor analysis. The research has found that the factors which contributed the ability to solve mathematical problem are identify problem (identify), define goal (define), explore possible strategies (explore), act on strategies (act) and look back (look). These five factors could be categorized into two components, namely: analytical ability component which consists of identify problem and define goal , and systematical ability component which consists of explore possible strategies, act on strategies and look back. Furthermore, it was also found that the factors which dominated the ability to solve mathematical problem was executing the act on strategies and followed by explore possible strategies, identify problem, define goal, and look back.
, Budi Koestoro, Asmiati Asmiati
Published: 12 December 2018
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 139-144; doi:10.25217/numerical.v2i2.315

Abstract:
This research has a purpose to know whether there is influence of the use of learning model Example Non Example assisted Poster Comment to the comprehension ability of mathematical concept. This research type is keyexperimental design, this research population is all students of class VII Madrasah Tsanawiyah (MTs) Al-Hidayah Srikuncoro academic year 2016/2017. In this research, the data analysis used is by using variance analysis (anova) one cell road is not same. The result of this research is that there is influence of learning model of Example Non Example with Poster Comment with the ability of understanding mathematical concepts, which the application of learning model Example Non Example with Poster Comment gives better concept of mathematics concept compared with the application of conventional model supported by Poster Comment and also the application of learning model Example Non Example with Poster Comment provides better mathematical concept capability compared to conventional learning model, and conventional teaching model application provides mathematical concept capability similar to conventional modeled learning application with poster comment.
Resty Khairina Vevi Martyas Pratami, Dona Dinda Pratiwi, Mohammad Muhassin
Published: 12 December 2018
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 125-138; doi:10.25217/numerical.v2i2.293

Abstract:
This research was conducted to determine the appropriateness of learning media and to know the response of the learners to the mathematics learning media assisted by Adobe Flash through ethnomathematics on Lampung Traditional House for eight grade of junior high school on polyhedron subject. This research type was research and development (R&D). The research and development steps were based on the Bord and Gall model. The instrument of data collecting was questionnaire with Likert scale. The data analysis technique used in this research was quantitative descriptive data analysis. The result of the research of mathematics learning media assisted by Adobe Flash through Ethnomathematics at Lampung Traditional House obtained the average value of material experts 3.62, media experts 3.47, linguists 3.67, and cultural experts 3.50 with "Valid" criterion and worth to use. The students’ response to learning media in small group trials obtained the "interesting" criterion with an average score 3.24 and in large group trials obtained a "very interesting" criterion with an average score 3.47. The teacher's response to learning media earned the "excellent" criterion with an average score 3.45.
, Subanji Subanji, Rustanto Rahardi
Published: 12 December 2018
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 167-174; doi:10.25217/numerical.v2i2.329

Abstract:
This study aims to describe the internal cognitive conflicts that occur to students when they were solving mathematics problems. There were two participants in this research. They were 7th grade students from SMPN 1 Malang. The first participant was a student who has experienced internal cognitive conflicts and has capability to resolve it as well as the mathematics problems. Meanwhile, the second participant was a student who has experienced internal cognitive conflict but cannot resolve that conflict and also the mathematics problems. This research was used descriptive qualitative. The data of this study was gathered from students’ test on cognitive conflict and interview which was adapted from Newman's interview procedure. It was found that, the students who are able to find a relationship between the ratio of the number of workers and the number of chairs produced in a day, have capability to resolve their cognitive conflicts so that it brings them to the right problem solving. Meanwhile, the students that fail to build a relationship between the comparison concepts with mathematics problems and fail to find the relation between the numbers of people with the number of chairs in one day can not resolve the cognitive conflict so that they solve the problems in the wrong ways.
Published: 12 December 2018
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 145-152; doi:10.25217/numerical.v2i2.213

Abstract:
Mathematical communication ability of learners is still relatively low, this is allegedly caused by the conventional learning model that is still applied by educators. The authors in this study apply cooperative type model of TPS assisted investigative approach, because the type and approach is expected to be suitable to improve the mathematical communication ability of learners. The purpose of this research is to see the effect of Cooperative Learning Model Type Think Pair Share (TPS) assisted by an Investigation Approach to Mathematical Communication Ability. In this research including quantitative research because the data is processed in the form of numbers. Use experimental experimental quasy experiment type. To know the effect on the ability of mathematical communication owned peserta didiksetelah applied learning model is the purpose of the implementation of research. The instrument in this research is the test of mathematical communication ability on the matter of scale and comparison. Further data that have been obtained will be calculated by using Analysis of Variance (ANAVA) one unequal cell road. The result of this research is there is influence of thinking pair share learning model assisted by investigative approach to mathematical communication ability of learner, which in class which applied by model of learning pair help coupled with better investigation of mathematical communication ability compared with conventional learning model and TPS learning model.
, Uke Ralmugiz
Published: 1 October 2018
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 115-124; doi:10.25217/numerical.v2i2.232

Abstract:
This research aims to establish a control system on blender by using fuzzy control system with mamdani method. In this study, researchers used input in the form of hardness level and volume of fruit to be blend, while the output is blend time (0 to 180 seconds) with assumption of constant blender velocity). Researchers used fuzzy inference control system with Mamdani method with some stages: fuzzification, inference, rule base, and defuzzification. Fuzzification changes the hardness of the fruit and the volume into a value. Inference created fuzzy output using pre-made rules. Defuzzification counted the time it takes to blend into output. Based on the results of the research, the results obtained for the sample of fruit with a level of hardness of 40%, and volume 4 (400 ml), in obtaining the minimum time required to smooth the fruit about 79 seconds. Thus the fuzzy control system can be used as an innovation to make the control system in blender. This system not only applies to blenders only, but also can be applied to other machines using fuzzy control system.
Nurina Kurniasari Rahmawati, Iip Ripati Hanipah
Published: 30 June 2018
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 99-114; doi:10.25217/numerical.v2i1.185

Abstract:
This research is to prove whether the learning result of Student Mathematics with cooperative learning model of TPS type is better than the result of student learning of Mathematics with STAD type cooperative learning model on tangent material of circle. The population is the students of State Junior High School 1 East Cikarang. The sample was taken by using cluster random sampling technique from the population by randomized method, ie students of class VIII F and class VIII G as many as 60 students. The analysis test is done by normality test and homogeneity test. Normality test using Lilliefors test and Homogeneity test using Fisher test. While the hypothesis test using t-test. Based on the calculation obtained data that Lilliefors model of cooperative learning model type TPS Lhitung = 0.0954 and for Ltabel = 0.161 (0.0954 < 0.161) and for cooperative learning model type STAD = 0.1266 and for Ltabel = 0.161 (0, 1266 < 0.161), so it can be concluded that the cooperative learning model of TPS type and STAD type cooperative learning model come from the normally distributed population. Homogeneity test using Fisher test obtained Fhitung = 1.15 and Ftabel = 1.86 (1.15 < 1.86) so that TPS and STAD homogen. Hypothesis testing obtained thitung = 2.388 and ttable = 1.651. Because thitung > ttable then H0 is rejected. The conclusion of this research is there are difference of mathematics learning result of students using cooperative learning model of TPS type and mathematics learning result of students using STAD type cooperative learning model in tangent circle material in class VIII SMPN 1 Cikarang East Bekasi.
Aan Subhan Pamungkas, Nia Mentari, Hepsi Nindiasari
Published: 11 June 2018
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 69-98; doi:10.25217/numerical.v2i1.209

Abstract:
The research is a qualitative descriptive research, the purpose of this research is to analyze students reflective thinking ability in terms of learning style. learning style in this research consists of three types namely visual, auditorial, and kinestetik. The subjects of the study were class VIII in one of the middle schools in Serang district selected by purposive sampling. Based on the analysis results obtained description of students' reflective mathematical thinking ability as follows: (1) Visual students have been able to provide interpretation but not yet complete and correct calculation; (2) Auditorial and kinesthetic students are able to provide correct interpretation and calculation. (3) In identifying the concept, visual students have been able to identify the formulas, auditorial and kinesthetic students have not been able to. (4) In evaluating/checking the validity of visual and auditorial students is already capable while kinestetik yet. (5) In distinguishing between relevant data visual and auditorial students have been able, and kinesthetic students have not been able. (6) In drawing the analogy of two cases, visual, auditorial, and kinesthetic students have not been able to. (7) In harmonizing with reason, visual, auditorial and kinesthetic students have not been able.
Sri Adi Widodo, Agustina Sri Purnami
Published: 6 June 2018
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 29-48; doi:10.25217/numerical.v2i1.238

Abstract:
The sociomathematics’ norm is a social norm of mathematical nuance, with sociomathematics’ norms; the social intelligence possessed by learners can be developed because this norm is strongly associated with negotiation and interaction. The purpose of this article is to know the improvement of sociomathematics’ norms student of mathematics education by using cooperative learning of Team Accelerated Instruction. This research uses pretest-posttes control only group design. Sample size in this research is 38 people in class C of course of Numerical Method taken by cluster random. The sociomathematics’ norm is obtained using an observation sheet. The data obtained were analysed using N-gain and t-test (paired-samples T Test). The calculation result shows that the pre-test average of 8,526, post-test, significance coefficient of 0.000, and N-Gain mean equal to 0,5. Based on the result, it can be concluded that the learning model of Team Accelerated Instruction can improve students' sociomathematics’ norm ability through numerical method.
Ruhban Masykur, Undang Rosidin, Agung M Iqbal
Published: 6 June 2018
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 15-28; doi:10.25217/numerical.v2i1.205

Abstract:
Perkembangan ilmu pengetahuan, teknologi dan kebutuhan masyarakat menjadi pendorong lahirnya kebijakan pendidikn tinggi yang beroreintasi kepada kompetensi lulusan baik aspek pengetahuan,sikap maupun keterampilan. Seiring dengan perubahan oreintasi perguruan tinggi akan pencapaian tujuan pembelajaran yang diperoleh melalui internalisasi pengetahuan, sikap, ketrampilan, kompetensi, dan akumulasi pengalaman kerja. Untuk menjawab kebutuhan tersebut maka Kerangka Kualifikasi Nasional Indonesia, yang selanjutnya disingkat KKNI, menjadi suatu pilihan dalam meningkatkan kualitas hasil dan produk pendidikan tinggi. Dengan demikian KKNI merupakan suatu upaya yang sangat strategis untuk meningkatkan mutu lulusan Perguruan Tinggi baik skala Nasional maupun Internasional. KKNI ini sudah dirancang sejak tahun 2014, sehingga implementasi kurikulum KKNI ini perlu dilakukan penelitian sekaligus sebagai evaluasi, apakah kurikulum ini terlaksana atau tidak, hambatan apa yang dihadapi dan pencapaian apa yang diperoleh oleh para peserta. Sebagai hasil penelitian menunjukan bahwa : Implemenatasi kurikulum KKNI di prodi matematika, dilakukan melalui 3 tahap yaitu perencanaan, pelaksanaan dan tahap evaluasi. Pada tataran implementasi KKNI di prodi matematika belum berjalan secara baik, hal ini dikernakan sumber daya manusia yang belum mamahami, sarana prasarana yang kurang dan aspek kebijakan pimpinan yang belum mengeluarkan keputusan tentang berlakunya KKNI. Oleh karena itu usaha yang dilakukan oleh pihak prodi melalui kegiatan worshop dan seminar, sosialisasi sampai pada tingkat implementasi dalam proses pembelajaran perlu dilakukan.
Nurmalitasari Nurmalitasari, Sri Sumarlinda
Published: 6 June 2018
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 49-67; doi:10.25217/numerical.v2i1.218

Abstract:
The objectives of this research is to implementation wavelet neuro fuzzy method to predict water level of Bengawan Solo river. The wavelet neuro fuzzy method is a model combination between discrete wavelet transformation, Artificial Neural Network (ANN) and fuzzy logic. Wavelet Neuro fuzzy modeling aims to reduce the weaknesses of each system, and combine existing advantages of each system, so the predicted result has a very small error value. Predicted when the flood is important because the predicted result can provide early warning information to the community around the river when the arrival of floods so as to reduce the risk of disaster and prepare for emergency response action. The data used in this research are high level of water level data obtained from AWLR Serenan post. The results of the wavelet neuro fuzzy method show the Mean Square error (MSE) forecast of 0.0613.
Arie Purwa Kusuma, Ayunitis Khoirunnisa
Published: 6 June 2018
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 1-14; doi:10.25217/numerical.v2i1.186

Abstract:
This study was conducted to determine whether the results of learning mathematics learners on the material to build a flat quadrilateral taught using Make a Match learning model is better than the TGT learning model. The sample was taken using cluster random sampling. The analysis test is done by normality test and homogeneity test. Normality test using Lilliefors test and Homogeneity test using Fisher test. Hypothesis test using t-test. Based on the calculation concluded the type of Make a Match cooperative learning model and TGT type cooperative learning model come from the normally distributed population. Homogeneity test using Fisher test can be concluded cooperative learning model type Make a Match and cooperative learning model type TGT same or homogeneous. Based on the hypothesis test, Ho is rejected. In conclusion, the result of learning mathematics of learners using Make a Match learning model is better than TGT learning model.
Rizki Wahyu Yunian Putra, Nurwani Nurwani, Fredi Ganda Putra, Nugraha Wisnu Putra
Published: 17 December 2017
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 97-102; doi:10.25217/numerical.v1i2.133

Abstract:
The ability to understand a concept in the learning of mathematics is something that is required by each learner. But in fact show that in the learning process, teaching materials used have not trained learners in doing a discovery and learners less active in the learning process. This study aims to produce teaching materials in the form of a didactic design module teaching materials Algebra on Mathematics Subjects for Class VIII Semester 1 Subject material Algebra in SMP Negeri 1 Pakuan Ratu. The teaching materials module with didactic design is a module in the form of a learner's guide which contains information, materials about Algebra, examples of problems as well as exercise questions, in accordance with the problems that natural learners on learning materials, this instructional material is made to petrify participants educated in solving problems on Algebra material. Based on the results of research, Didactic instructional materials developed by researchers deserve to be used according to the validation results of material experts, linguists, education practitioners, media experts, and help learners to learn more independently and comfortable in the learning process as well as learners are very interested in teaching materials (modules) of this didactic design.
Lilia Sinta Wahyuniar, Santi Widyawati
Published: 17 December 2017
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 103-114; doi:10.25217/numerical.v1i2.177

Abstract:
The thinking process of each student varies in solving mathematical problems. The process of thinking in this study are grouped into three conceptual thought process, semikonseptual, and computational. The objectives of this research are to investigate the thinking process of IT student with the high logical-mathematical intelligence in solving kombinatorial problems, the thinking process of IT student with the moderate logical-mathematical intelligence in solving kombinatorial problems, the thinking process of IT student with the low logical-mathematical intelligence in solving kombinatorial problems. This research is descriptive qualitative whichdescribes the process of thinking of students in solving mathematicalproblems on material kombinatorial. The data collection method in this study using tests and interviews. Subjects of this study were six students from 1D grade IT of Universitas Nusantara PGRI Kediri and represented two student with the high logical-mathematical intelligence, two student with the moderate logical-mathematical intelligence and two student with the low logical-mathematical intelligence. Data analysistechnique used Miles and Huberman, data reduction, display, andconclusion drawing / verification. Based on the analysis we concluded thatstudents with high logical-mathematical intelligence haveconceptualthought process, the thinking process of student with the moderate logical-mathematical intelligence no identified, students with low logical-mathematical intelligence have computationalthought process.
Leni Zuni Isnawati, Fredi Ganda Putra
Published: 16 December 2017
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 87-96; doi:10.25217/numerical.v1i2.130

Abstract:
The purpose of this article is to determine whether there are elements of mathematics contained in the intestine motif based on the concept of geometry. Subjects in this study consisted of 4 people obtained by purposive sampling technique. From the results of data analysis conducted by using descriptive analysis and discussion as follows 1) Intestinal embroidery motif contains the meaning of mathematics and culture or often called ethnomathematics. On the meaning of culture there is a link between the embroidery intestines with a culture that has been there before as the existence of cultural linkage between Hindu belief Buddhism and there are similarities of motifs and decorative patterns contained in the motif embroidery intestine with ornamental variety in Indonesia; 2) The relationship between the intestines with mathematical motifs there are elements of mathematics such as geometry elements in the form of geometry of dimension one and dimension two, and the geometry of transformation. The concept of one dimensional geometry is a line, while the two dimensions are elliptical and rhombic. The concept of transformation geometry includes reflection or reflection, in which case this reflection is most prevalent in a motif contained in the intestinal embroidery motif, dilation or diminution and enlargement, rotation or rotation and translation is a shift.
Isnaini Nur Azizah
Published: 16 December 2017
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 63-72; doi:10.25217/numerical.v1i2.132

Abstract:
This research aims to produce comic-based LKPD comic products on the subject of social arithmetic and how to develop comic-based LKPD to be effective. This research uses research method of development of Thiagarajan-4D model, which consists of 4 stages, namely definition, design, development and dissemination. This study begins from a preliminary study in the form of needs analysis consisting of learner analysis, material analysis and task analysis. Preliminary study results indicate the need for the development of comic-based LKPD on the subject of social arithmetic. The development of worksheet based comic begins with arranging worksheet design and all components based on guidance of worksheet preparation in the form of draft 1. The draft 1 has been compiled and then validated by expert to produce draft 2. The validation result indicates that worksheet has fulfilled the content and design feasibility standard. The draft 1 is then refined to produce draft 2 and tested to several learners called a limited trial. The results of a limited trial show that worksheet is included in either category.
Choirudin Choirudin
Published: 16 December 2017
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 52-62; doi:10.25217/numerical.v1i2.131

Abstract:
Schoology e-learning as one of Learning Management System (LMS). By using schoology aims to show the effectiveness of schoology e-learning through students’ outcome in material quadratic equation. This is achieved when the students’ learning outcomes were taught by schoology e-learning can reach KKM, process skills and students’ activities are better than conventional methods, process skills and students’ activities get a positive effect on students' learning outcomes. This study hypothesis analysis used t-test and linear regression. The results were obtained on experimental class KKM, with the average value of these classes also proved that the experimental class average is better than the control class where control class. Skills process positively to the learning outcomes of mathematics at 24,2%. Having an active students learn mathematics positive about the outcome of 19,8%. Process skills and students active learn mathematics positively to 25,7%.
, Wahyu Kusumaningtyas
Published: 16 December 2017
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika pp 73-86; doi:10.25217/numerical.v1i2.129

Abstract:
The purpose of this research is to analyze the ability of interpret symbols in numerical methods. The extent of the interpretation at the level of procedure and calculation only, or its already at the level of understanding of the concepts represented by symbols with good and right way. This type of research is qualitative research. The data that obtained are analyzed in descriptive. The election of the subject based on purposive sampling technique, i.e. taking the subject with considerations/criteria 6 semester students who was taking the course numerical methods, critical and active in discussions. The subject is only drawn by 1 student, subsequently coded MN1.The material is focused in determining the approximate root of equation with the method of false position. The methods used to collect data in this research is the observation, tests and interviews. So, that the triangular used in this research is the triangular techniques. Conclusion based on the results of the research showed the new symbols to interpret NM1 limited calculation procedure only. NM1 considers, with the same symbol but different forms of counting operation, was a mistake. NM1 gives the wrong result of conclusion renders the procedure is only seen from the similarity to the symbol, not the views of the concept behind the use of the symbol.
Mutia Mutia
Published: 10 July 2017
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika; doi:10.25217/numerical.v1i1.121

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Rizki Wahyu Yunian Putra, Popi Indriani
Published: 10 July 2017
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika; doi:10.25217/numerical.v1i1.118

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Agus Setiawan
Published: 10 July 2017
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika; doi:10.25217/numerical.v1i1.120

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Wawan Wawan
Published: 10 July 2017
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika; doi:10.25217/numerical.v1i1.117

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Ardi Dwi Susandi, Santi Widyawati
Published: 10 July 2017
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika; doi:10.25217/numerical.v1i1.122

Abstract:
The process of thinking is the steps that a person uses in receiving, processing, concluding, and reusing the information obtained to resolve the issues related to solve the problem of the memory. While cognitive style is an activity that became a characteristic of learners in the functioning of mental activities in the field of cognitive (thinking, remembering, processing information, organizing, solving problems, and making decisions) which is consistent. Cognitive style has a major role when utilized in an effort to improve the effectiveness of the learning process. Cognitive styles are divided into two, namely, Field Independent (FI) and Field Dependent (FD). This research is descriptive qualitative which describes the process of thinking of students in solving mathematical problems on material combinations and permutations. The data collection method in this study using GEFT tests to determine cognitive styles of students, test description of material combinations and permutations to obtain the thinking process of students, and interviews. Based on cognitive style, students are grouped into 2 groups: FI and FD, and then subsequently selected two students from two groups of students from the FI and FD to give test of thinking ability and then interviews. Data analysis technique used Miles and Huberman, data reduction, display, and conclusion drawing / verification. Based on the analysis we concluded that students who have the cognitive styles FI tend to have a conceptual thought process. Likewise, students who have the cognitive style FD, these students are also likely to have a conceptual thought process. The process of conceptual thinking is the thought process which solves problems by using the concept that has been owned by the results of studies.
Resti Yelma Sari, Netriwati Netriwati, Fraulein Intan Sari
Published: 10 July 2017
NUMERICAL: Jurnal Matematika dan Pendidikan Matematika; doi:10.25217/numerical.v1i1.119

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