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Students' Ability to Solve Arithmetic Problems Based on APOS Theory in Cognitive Styles Differences Eka Siti Maullina; Nining Setyaningsih
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v7i1.3134

This study describes the ability to solve systematic problems regarding field-dependent (FD) and field-independent (FI) cognitive styles in arithmetic material. Solving systematic problems based on the APOS theory (action, process, object, schema) describes the ability of each student's cognitive style. This type of research is descriptive, using a qualitative approach. The research subjects consisted of four students consisting of two students with an FD and two FI styles in class X SMA Negeri 1 Gemolong. Data collection methods are tests and interviews. The instruments in the research were the researchers themselves, the GEFT (Group Embedded Figure Test) test as an instrument in selecting research subjects, a test of the ability to solve arithmetic problems based on APOS and interview guidelines. The analysis technique used in this study is data reduction, data presentation, and conclusion. The results showed that students with a FI cognitive style were better at problem-solving than students with an FD cognitive style. Subject FI can solve mathematical problems systematically based on APOS theory, and FI can determine methods for solving mathematical problems and originate from their thoughts not influenced by other parties. Meanwhile, FD has difficulty solving problems systematically and understanding and making mathematical models, which tends to be problematic in understanding mathematical problems and solutions that do not originate from their thinking.

Implementation Probing Prompting Learning Model on Students' Mathematical Concepts Understanding Ability and Self Confidence Dewi Risalah; Novia Yulianti; Iwit Prihatin
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v7i1.3066

The model of Probing prompts is learning with the way the teacher presents nature questions, lead, and dig so that student requires the ability to understand and develop draft mathematics in finished question. The purpose of this study is to find out how the application of the probing prompting learning model to the ability to understand mathematical concepts in terms of students' self-confidence in the material Algebraic Forms class VII SMP Negeri 1 Sungai Raya. The method used in this study is an experimental method, with the experimental form used being the Quasy Experimental Design experiment, and the research design is a 2 x 3 factorial design. The population of this study was all grade VII students at SMP Negeri 1 Sungai Raya consisting of 5 classes, with samples of class VIIG and VIIH taken using the Cluster Random Sampling technique. Based on the analysis of the variance of two paths with unequal cells, it was concluded that there is a significant difference in the ability to understand mathematical concepts between probing prompting and conventional learning models regarding self-confidence in the material of algebraic forms.

Profile of Pre-Service Mathematics Teacher’s Algebraic Thinking Based on Systematic-Intuitive Cognitive Style Ninda Ayu Nur Kusuma; Masduki
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v7i1.3420

Algebraic thinking plays an essential role in increasing mathematics problem-solving abilities. In this study, the pre-service mathematics teacher’s (PMTs) ability of algebraic thinking is explored based on a systematic-intuitive cognitive style. This study aims to reveal students' algebraic thinking abilities regarding systematic-intuitive cognitive style. Three components of algebraic thinking were analyzed: arithmetic generalization, functional thinking, and generalization and justification. The research approach is qualitative with a case study method. The subjects were 31 PMTs at one of the private universities in Surakarta District, Central Java, Indonesia. Data collection methods were algebraic thinking tests, the Cognitive Style Inventory (CSI) questionnaires, and interview protocol. Four subjects, two PMTs for each cognitive style category were interviewed to reveal their algebraic thinking abilities. The results showed that all subjects were able to solve the functional thinking problem correctly. However, for the generalization arithmetics and justification problems, the PMTs abilities are varied. In addition, the finding also showed the different strategies of systematic and intuitive subjects in solving the problems related to algebraic thinking components. PMTs with a systematic cognitive style solve problems systematically and represent the pattern verbally in the form of a table or word, whereas the PMTs with an intuitive cognitive style solve the problem briefly and visually using pictures pattern. In conclusion, there is a relationship between algebraic thinking ability and cognitive style.

Completion of CVRP with a Combination of Sweep and Local Search Algorithms (Case Study: PT. AJW) Zakaria Alfikri Sirait; Riri Syafitri Lubis
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v7i1.3446

AJW is a consumer goods distribution company for Indofood products and non-Indofood products. PT. AJW moves throughout Karo district. The number of tourist attractions in Karo makes the demand for goods higher such as Pop noodles, Indomie, chitato and others. Thus, having an impact on the distribution of goods Based on the author's observations at PT. AJW Kabanjahe has no standard provisions in determining the route, the delivery of goods is still carried out based on requests from consumers so that it ignores the distance traveled and time. A way that can solve this distribution problem is the Capacitated Vehicle Routing Problem (CVRP). CVRP is a problem in determining the optimal route by looking at the problem that each vehicle has a capacity limit. To solve CVRP problems, a good heuristic algorithm is used is the sweep algorithm and local search route improvement. This study uses the sweep algorithm to solve the CVRP problem, and the routes obtained by the sweep algorithm will be improved with local search. The sweep algorithm is a simple method of calculation, even for calculating large problems. The sweep algorithm will be combined with local search. Local search is an algorithm used to get shorter routes. The combination of the two algorithms is perfect for solving CVRP problems. After research, a distance of 39.96 km was obtained compared to the company's route of 103.5 km. So the percentage of mileage savings is 61.39%. This shows that sweep algorithms can minimize distance while saving company expenses

Optimization of Liquid Petroleum Gas (LPG) Gas Cylinder Distribution Route with Saving Matrix Method Fitri Armanda; Rina Filia Sari
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v7i1.3452

This study aims to optimize the route traveled so that the transportation costs incurred by the company can be much less. This is done because the company as an agent of 3 kg LPG gas cylinders in distributing LPG gas to each base is still not optimal with irregular routes so that the costs incurred by the company are quite large. One solution that can be done in solving this distribution problem is to apply the Saving Matrix method. The Saving Matrix method is one method that can be used to determine the distribution route of a product to the area to be marketed by determining which route to take by looking at the capacity of the vehicle and the number of goods carried in order to get the shortest route and the cost for transportation incurred is small. Based on the results of the study, a distance of 100.73 km was obtained with a total initial distance of 144.29 km, with transportation costs incurred initially of Rp. 98,117.1 to Rp. 68,496.4. So, this shows that the saving matrix method can minimize distance and transportation costs.

Comparison of Fuzzy Time Series Markov Chain and Fuzzy Time Series Lee in North Sumatra Import Value Forecasting Syukur Iman J. Telaumbanua; Didi Febrian
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v7i1.2745

North Sumatra is a province that carries out import activities in other provinces to complement the shortage of goods in North Sumatra. Every month based on data from the Central Bureau of Statistics (BPS) of North Sumatra, the import value of North Sumatra constantly fluctuates. So a method is needed to show the increase or decrease in the value of North Sumatra in the next period. The method is forecasting, where forecasting is an activity that predicts something in the future, intending to get information in the next period as a decision or decision in the future. Many forecasting methods can be used, but this study uses fuzzy time series Markov Chain and fuzzy time series Lee methods. These two methods aim to obtain the best forecasting method based on the minor mean absolute percentage error (MAPE) and mean square error (MSE). In this study, the data is on the value of imports in North Sumatra taken from the Central Statistics Agency (BPS) of North Sumatra. The test results on forecasting the import value of North Sumatra show that the fuzzy time series Markov Chain is better than the Fuzzy Time series Lee based on the smallest MAPE and MSE values. The MAPE fuzzy time series Markov Chain value is 7.7467%, and the MSE value is 176,748,587. Meanwhile, Lee's fuzzy time series has a MAPE of 10.014% and an MSE value of 2,387,874,804.

Student Errors Analysis Problem-Solving based Castolan Theory on Relations and Functions Material Reskina; Sehatta Saragih; Elfis Suanto; Maimunah
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v7i1.2895

Material relations and functions load understanding concept on lesson mathematics as well as can help student For finish question mathematics with good and right. Objective study This is For analyze error student in finish question relations and functions based on theory Castle ie error conceptual, error procedural and error technique as well as reason happening error the. subject study are 18 students class VIII SMPN 13 Dumai. Data collection techniques are carried out with test and interview. Instrument test used is test written from valid questions and guidelines interview For verify reason student in answer question the. Obtained data from results test, then analyzed with use method descriptive qualitative. Analysis results shows 33% students do error conceptual, 41% students do error procedural, and as many as 26% students do error technical. As for what causes students are wrong finish question Relations and functions including : 1) less understand cause issue student Confused finish the answer ; 2) no control rule calculation algebra ; 3) rush in finish question so that lots wrong calculation.

Analysis Numerical Literacy Ability in Middle School Students in Material Set Ulfa Luthfiani; Sehatta Saragih; Elfis Suanto; Maimunah
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v7i1.2896

This study identified the numeracy literacy skills of Almuttaqin MTS students in a rigid material. A hallmark of numeracy literacy is the capacity to apply numbers and related symbols to operations on algebraic forms, analyze data, and understand analysis findings to predict and make judgments. Tests and interviews were used to collect data, which were then analyzed through data reduction, presentation, and conclusion. Based on the findings, the numeracy literacy skills of MTS Almuttaqin students, one student (4%) is included in the excellent group for numeracy literacy, nine students (34%) are included in the excellent category, 15 students (50%) are included in the good category, and five students (11)% is included in the less category. Students with high numeracy literacy (ST) can use various numbers and symbols to solve problems, analyze information to make predictions, evaluate the findings of their analysis, and make decisions when handling the challenges of the given material. Using various numbers and symbols to solve problems and analyze information is the only marker that satisfies students with moderate numeracy literacy (SD). They have not yet reached the stage where they can make the best choices regarding their assigned content. Students with limited numeracy literacy (SR) only write numbers and are identified when completing assignments. As a result, SD and SR have not fully learned numeracy skills. The indications that were not fulfilled were caused by mistakes made by students, including not carefully recording known and asked data, choosing an inappropriate problem-solving approach, and not understanding ideas well enough to answer questions problem.

Analysis of Students' Thinking Ability in Discovery Learning-Based Worksheets to Improve Mathematical Problem-Solving Ability Eva Fitriani Sari; Sugeng Sutiarso; Sri Hastuti Noer
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v7i1.3147

Problem-solving ability is essential in the process of learning mathematics. Looking at students' mathematical problem-solving abilities, which can be seen from the learning outcomes, are still less than the expected average. One of the efforts that can be made to improve students' problem-solving skills is to develop Discovery Learning-based worksheets. This study analysed students' thinking skills to improve their mathematical problem-solving abilities. This study uses a qualitative approach with a case study method that emphasizes real cases. This research was conducted on SMP Negeri 6 Metro class VII students on Quadrilaterals. The research used a purposive sampling technique to study as many as 26 students as subjects. The data analysis process was carried out by describing the results of the analysis of answers in writing and showed the ability to write systematic problem-solving procedures. The study results in show that the developed LKPD is very valid; it can be seen that: (1) the achieving results the high category in the application of the Discovery Learning model, (2) the score of each aspect of problem-solving in mathematics has increased, (3) the final test average score has increased, and (4) the score of each problem-solving indicator in mathematics has increased. This can be seen based on the test, and the results show a significant difference between the average increase in learning outcomes in the experimental class using discovery learning-based worksheets and the control class that does not use discovery learning-based worksheets. So it can be concluded that the developed LKPD based on discovery learning is valid, practical, and effective for improving students' mathematical problem-solving abilities.

Elementary School Teachers' Perceptions on Video-Based Mathematics Learning in Flipped Classroom Model towards Learning Quality Zenzen Zakiyah; Karlimah; Syarip Hidayat
Numerical: Jurnal Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2023)
Publisher : Institut Agama Islam Ma'arif NU (IAIMNU) Metro Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25217/numerical.v7i1.3462

Teachers' perceptions of video-assisted mathematics instruction in measurement topics within flipped classroom learning models vary. This study explores teachers' perceptions of using video-assisted mathematics instruction in measurement topics in elementary schools. A case study was conducted with 30 elementary school teachers teaching in various regions in Tasikmalaya. Data collection was carried out through questionnaire dissemination and interviews as research instruments. The data analysis technique employed in this study was Interactive Analysis, which involved data reduction, data presentation, and conclusion. The research findings indicate that teachers' perceptions of video-assisted mathematics instruction encompassed cognitive aspects with an average score of 87.50%, affective aspects with an average score of 88.50% and psychomotor aspects with an average score of 89.50%. The results show that most teachers positively perceive using video-assisted mathematics instruction in measurement topics. Teachers state that video-assisted instruction helps students understand measurement concepts and makes learning more engaging and enjoyable for elementary school students.

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Contact Email
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Journal Mail Official
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Location
Kota metro,

Lampung

INDONESIA