Mathematical Learning Model Research Articles

Pengembangan Perangkat Pembelajaran dengan Model Problem Based Learning pada Topik Pecahan untuk Kelas III SD

The background of this research is that there are still very few teachers who are not guided by learning tools and only refer to teacher and student books. This study aims to (1) describe the validity of learning tools using the problem-based learning model in learning mathematics on the topic of fractions in Class III SD (2) describe the feasibility of learning devices using the problem-based learning model in learning mathematics on the topic of fractions in Class III SD (3) analyze the effectiveness of learning tools with problem-based learning models in learning mathematics on the topic of fractions in Grade III SD. This research uses the type of development research with the ADDIE model (Analyze, Design, Development, Implementation, and Evaluation). The subjects of this study were 28 Class III students. This study uses evaluation sheet data sources and tests. Data collection techniques include validation questionnaires and tests. Analysis of the data used analysis of validity, feasibility, and validity. The validation results show the validity of lesson plans 4.74, Teaching Materials 4.6, LKPD 4.4, and Assessment Instruments 4.6 which meet the criteria of "very valid" and are very feasible to try out. The test results after the implementation of the development tools were 26 students who completed and 2 students did not complete, so that a classical learning completeness percentage of 92% was obtained and was declared "effective". Thus, it can be concluded that this learning tool is valid, appropriate, and effectively applied to Class III students at UPT SDN 228 Gresik.

PENGARUH MODEL PEMBELAJARAN EVERYDAY MATHEMATICS (EM) TERHADAP KEMAMPUAN BERFIKIR KRITIS DAN KREATIF SISWA SMP NEGERI 01 LEBONG

This study aims to determine the effect of the Everyday Mathematics (EM) Learning Model on Students' Critical and Creative Thinking Ability. This type of research uses the Quasi Experiment method. Data collection is done through tests. Data analysis used the Ancova test. The sample of this research is students of SMPN 01 Lebong class VII.4 and VII.6. The results showed that: There is a linear influence of initial ability covariates on students' critical thinking skills with an effect of 62.6%. There is a linear influence of initial ability covariates on students' creative thinking abilities with an effect of 22.7%. There is an effect of applying the Everyday Mathematics learning model to students' critical thinking skills with an effect of 82.9%. There is an effect of applying the Everyday Mathematics learning model to students' creative thinking abilities with an effect of 6.5%. the achievement of critical thinking skills taught through learning using the Everyday Mathematics learning model is better than that taught through conventional learning. the achievement of creative thinking skills taught through learning using the Everyday Mathematics learning model is better than that taught through conventional learning

A minimal model of learning: quantifying the cost and benefit of learning in changing environments.

Many organisms have the ability to learn, but the costs and benefits of learning are difficult to quantify. We construct a minimal mathematical model of learning in which a forager attempts to maximize the amount of resources (food) it collects in a changing environment. Our model has two learning parameters: α, corresponding to the duration of the forager's memory, and [Formula: see text], corresponding to how much the forager explores the environment to learn more about it. We analyse the effect of different regimes of environmental change on the optimal memory and exploration parameters [Formula: see text]. By comparing the fitness outcomes from learning foragers to the outcomes from foragers following fixed strategies, we explicitly quantify the fitness benefit (or cost) of learning as a function of environmental change. We find that in many environments, the marginal benefit of learning is surprisingly small. In every environment, it is possible to implement learning in such a way that performance is as bad or worse than following a fixed strategy. In some environments, even the best implementations of our minimal model of learning perform worse than the best fixed strategy. Finally, we find that variance in resource values negatively biases foragers' estimates for those values, potentially explaining experimental results showing that animals prefer less variable resources.

Mathematical Connection Communication Learning Model and Information Technology for Students

One of the successes of student learning outcomes depends on the way of communication between students and teachers using information technology media, combined with learning mathematical connections through communication will produce new innovations. The purpose of this research is to find out the Mathematical Connection Communication Learning Model and Information Technology for Students. This research method Analysis method of this research was analyzed using a quantitative method approach where the analysis used was descriptive statistics and hypothesis testing with partial least squares (PLS). The sources of information were 30 students majoring in mathematics. The results of this study increase the value of the Mathematical Connection Communication Learning Model and the Use of Information Technology will increase Student Learning Outcomes both in terms of comprehensive understanding abilities, critical and analytical thinking skills and the ability to be creative and innovative

Residential energy consumption forecasting using deep learning models

The energy sector plays an important role in socioeconomic and environmental development. Accurately forecasting energy demand across various time horizons can yield substantial advantages, such as better planning and management of energy resources. Different methodologies, including mathematical, statistical, and machine learning models, have been proposed for energy consumption prediction. Nevertheless, some studies claim that deep learning models can outperform other approaches when dealing with time series data characterized by a high level of granularity. There are different implementations of deep learning models, such as recurrent unit layers, dimensional convolutions, or Transformers. Hence, it is interesting to compare the performance of different architectural types using a methodology that utilizes feature selection and model interpretation to underscore the significance of meteorological features and timestamps in the forecasting task. This study presents a comparative methodology of forecasting approaches employing recurrence-based models: Recurrent Neural Network (RNN), Long Short-Term Memory (LSTM), Gated Recurrent Unit (GRU), and Time Series Transformer (TST), while exploring the relationship between model performance and resource allocation related with amount of features and time resolution. The findings reveal that the Transformer architecture works better with fewer samples, despite the occurrence of overfitting. In addition, training the models enabled the creation of a voting ensemble, optimized by the Simulated Annealing metaheuristic, resulting in a 23% improvement in hourly granularity.

Pengaruh Model Pembelajaran Problem Based Learning (PBL) dengan Model Pembelajaran Inquiry dan Motivasi Belajar Terhadap Hasil Belajar Matematika Siswa Kelas VIII MTsN 3 Dan MTsN 4 Sidoarjo

There are still many learning processes in schools that do not involve students, so students are less creative. There are still many teachers who use the lecture method so that students are passive and not creative, because there is no opportunity to ask questions, discuss with both the teacher and fellow students. The learning process will work well if students are involved in selecting, compiling and participating in learning situations. Problem-based learning models or known as Problem Based Learning (PBL) and Inquiry learning models are very important in supporting interactions between students and teachers, between students and students. The purpose of this study was to find out: (1) the differences in learning outcomes between the use of the PBL learning model and the Inquiry learning model in mathematics, (2) the differences in learning outcomes between high learning motivation and low learning motivation in mathematics, and (3) the interaction between the use of the PBL learning model, the Inquiry learning model and learning motivation on the mathematics learning outcomes of class VIII MTsN 3 and MTsN 4 Sidoarjo. This experimental research was carried out using a 2x2 factorial design. The subjects in this study were class VIII students consisting of four classes with 120 class VIII students at MTsN 3 and MTsN 4 Sidoarjo. The subjects that became the focus of the experiment were taken classically randomly, namely four MIPA1,2,3,4 classes from MTsN 3 and MTsN 4 Sidoarjo. The research hypothesis was tested using the Analysis of Variant (Anova) statistical test. The results of two-way analysis calculations show that: (1) There is a significant difference between the PBL Learning Model and the Inquiry Learning Model on Mathematics learning outcomes, (2) There is a significant difference between high learning motivation and low learning motivation on Mathematics learning outcomes, and ( 3) There is an interaction between the PBL Learning Model and the Inquiry Learning Model and learning motivation on Mathematics learning outcomes for Class VIII MTSN 3 and MTSN 4 Sidoarjo.

Pelatihan Guru yang Tergabung dalam MGMP Matematika SMK se-Kabupaten Mojokerto dalam Implementasi PjBL untuk Mendukung Motivasi Belajar Siswa

This study aims to increase teachers' knowledge about the Application of the Project Based Learning (PjBL) Model in learning mathematics so that it can support teachers' skills in preparing PjBL learning tools that motivate student learning. In this PKM activity, training and mentoring are collected in the preparation, implementation, and evaluation stages. The instruments used are observation sheets, questionnaire sheets, and training modules. Data analysis of this activity is descriptive qualitative. The results of the study show that training and mentoring activities for the implementation of the PjBL Model make a good contribution to increasing mastery of the material and increasing the ability of teachers to design PjBL learning tools that motivate student learning.

The advantages of the aptitude treatment interaction learning model in learning mathematics

Penelitian ini bertujuan untuk mendeskripsikan keunggulan penerapan model pembelajaran aptitude treatment interaction dalam pembelajaran matematika berdasarkan artikel penelitian yang diterbitkan dalam satu dekade terakhir. Penelitian ini menggunakan metode literature review secara sistematis dengan mengumpulkan 15 jurnal yang relevan kemudian diseleksi kembali untuk memenuhi kriteria inklusi dan kriteria penilaian kualitas hasil penelitian. Ditemukan informasi perkembangan penelitian analisis penerapan model pembelajaran aptitude treatment interaction mulai dari tingkat SD, SMP, SMA, dan Perguruan Tinggi. Tingkat keberhasilan yang ditunjukkan dari penerapan model aptitude treatment interaction dalam pembelajaran matematika di tingkat SD, SMP, SMA dan Perguruan tinggi sangat tinggi. Selaras dengan hasil analisis dari penelitian yang disajikan tertulis beberapa masukan yang diberikan oleh penulis, salah satu masukan yang dituliskan dalam artikel adalah seorang guru harus melakukan persiapan yang baik saat menerapkan model aptitude treatment interaction dalam pembelajaran dan guru harus mengetahui kemampuan siswa dengan baik karena jika guru salah dalam mengelompokkan siswa maka perlakuan yang diperoleh siswa juga akan salah.

Assessing the economic and technical efficacy of grid-connected photovoltaic systems through a combination of mathematical and deep learning models with experimental validation: A case study

ABSTRACT The current study presents a techno-economic technique and modeling to evaluate the productivity of a 1.25 kW photovoltaic grid-connected (GCPV) system. The method used four key factor indicators: yield, and capacity factors, also payback period and cost of energy. MATLAB software was used to analyze secondly meteorological data and create a model for the GCPV. Also, the GCPV has been installed, tested, and data collected in Sohar, Oman. The data revealed that the daily average irradiation is 6.23 kWh/m2.day in the studied location. The numerical and experimental results of the assessment indicated that the investment in GCPV technology in this site is very encouraging, with a yield factor of 1710 and 1836 kWh/kWp and a capacity factor of 19.37% and 20.74%, respectively. Also, it is found that 8.25 years is the payback period. Additionally, the numerical and experimental results show 0.063 and 0.047 USD/kWh cost of energy, respectively. Also, four predictive models based on deep learning utilizing Recurrent Neural Network (RNN) and Time Lag Recurrent Network (TLRN) were developed to forecast GCPV current performance with irradiance, and temperature as input data. FRNN-2 and FRNN-3 showed the highest performance for prediction models due to their lower MSE (0.0018–0.0037), indicating better accuracy in comparison to experimental results. This research yields important technical and financial data for anyone looking to invest in GCPV technology in Oman.

ANALISIS SIKAP PERCAYA DIRI SISWA MENGGUNAKAN MODEL PEMBELAJARAN PROBLEM BASED LEARNING MATA PELAJARAN MATEMATIKA

This research is motivated by the lack self-confidence of students in mathematics. This study aims to analyze self-confidence using the Problem Based Learning model in Mathematics. The sample of this research was 28 students in class 1 of SD Negeri Sawah Besar 01 for the academic year 2022/2023The instrumen used in this study was a non-test. The non-test instrumen used in this study was a questionnaire which was composed of 10 items based on self-confidence indicators consists of four components: self-confidence, assertiveness, responibility, and positive thingking. From the results of the analysis of the indicators of self-confidence, self-confidence obtained results with high criteria, analysis of the assertiveness indicator obtained results with hifh criteria, analysis of the responsibility indicator obtained results with high criteria, and analysis of positive thinking indicators obtained result with high ceriteria. It was concluded that the LKPD in the Problem Based Learning model in Mathematics subject received a positive response from students. This is evidenced by the result of all indicators or self-confidence with high criteria.

Peningkatan Keaktifan dan Hasil Belajar Materi Keliling Dan Luas Bangun Datar Menggunakan Model PBL Siswa Kelas IV SDM Kemiri


 This study aims to increase the activity and learning outcomes of Mathematics in the material of circumference and area of flat shapes using the Problem Based Learning method for fourth grade students of SD Muhammadiyah Kemiri. The results showed that there was an increase in student learning activity, namely the pre-cycle stage, the percentage of learning was only 37% in the first cycle, the first meeting was 50% while the second meeting was 58% so that the average activity in the first cycle was 52% in the active category and the second cycle of the first meeting by 79% while the second meeting was 91% so that the average activity of the first cycle was 85% in the very active category. Meanwhile, for student learning outcomes increased. This is evidenced by the percentage of mastery learning at the pre-cycle stage of 68%, in the first cycle an increase of 80%, an increase of 12% and an increase of 20% in the second cycle so that it reaches 100% in the very good category. So it can be concluded that the use of the problem based learning model in mathematics learning the material of perimeter and area of flat shapes can increase the activeness and learning outcomes of fourth grade students at SD Muhammadiyah Kemiri.
 Keywords: Keaktifan belajar, hasil belajar, matematika SD, model PBL

Systematic literature review: mathematical creative thinking ability reviewed from self-regulated in Project Based Learning (PjBL) Model

In learning mathematics to solve problems, students must own creativity and finish independently. Creativity and study in a manner independence can be increased by applying a learning model. Study This own The aim is to conduct a literature review regarding the based learning model project to improve the ability to think creatively mathematically and self-regulated or learn from students independently. The research method used is Systematic Literature Review (SLR) method. Selected articles based on quality, suitability, and suitability content so that obtained 17 articles from google scholar journals, national and international, in the range period 2017 to the year 2023. The research results obtained: (1) the PjBL learning model in learning mathematics can improve the ability to think creatively student, (2) independence influences learning on creative thinking skills.

Increasing Mathematics Learning Activities Through Numbered Heads Together (NHT) Cooperative Learning Models In Students

The purpose of this study is to see an increase in mathematics learning activity through the cooperative learning model of the numbered heads together type in class VIID students of SMP Negeri 14 Surakarta. This study uses a type of classroom action research. The subjects in this study were teachers and students of class VIID at SMP Negeri 14 Surakarta. This study consisted of 3 cycles, namely cycle 1, cycle II, and cycle III. Sources of data in this study were obtained from observation sheets of students' learning activities in cycle I, cycle II, and cycle III, observation sheets of the learning process recorded by observers, teacher and student information, places and events where the learning process took place. This research is expected to contribute to schools or in the field of education. The results of this study are that there is an increase in students' mathematics learning activities through the application of the Numbered Heads Together (NHT) cooperative learning model in learning mathematics.

Systematic Literature Review (SLR): Efektivitas Model Pembelajaran Kooperatif Tipe Jigsaw terhadap Hasil Belajar Matematika Siswa Sekolah Dasar

The cooperative learning model of the jigsaw mathematics learning type can present a new atmosphere in the learning process, increase students' interest and self-confidence, so that they actively participate in learning activities and class discussions. The purpose of this study is to increase self-confidence in group results and to be active with friends. The method used in this study uses the SLR (Systematic Literature Review) method. Data collection was carried out by documenting all articles with similar research in the research report used in this study 24 articles which then became 7 articles and the final 2 articles were national journals obtained from the Google Scholar database through the publish or perish application. In this study it was found that the mathematics learning model uses a jigsaw cooperative learning model to increase self-confidence, friendship, and activities with friends to learn mathematics.

Multivariate time series short term forecasting using cumulative data of coronavirus.

Coronavirus emerged as a highly contagious, pathogenic virus that severely affects the respiratory system of humans. The epidemic-related data is collected regularly, which machine learning algorithms can employ to comprehend and estimate valuable information. The analysis of the gathered data through time series approaches may assist in developing more accurate forecasting models and strategies to combat the disease. This paper focuses on short-term forecasting of cumulative reported incidences and mortality. Forecasting is conducted utilizing state-of-the-art mathematical and deep learning models for multivariate time series forecasting, including extended susceptible-exposed-infected-recovered (SEIR), long-short-term memory (LSTM), and vector autoregression (VAR). The SEIR model has been extended by integrating additional information such as hospitalization, mortality, vaccination, and quarantine incidences. Extensive experiments have been conducted to compare deep learning and mathematical models that enable us to estimate fatalities and incidences more precisely based on mortality in the eight most affected nations during the time of this research. The metrics like mean absolute error (MAE), root mean square error (RMSE), and mean absolute percentage error (MAPE) are employed to gauge the model's effectiveness. The deep learning model LSTM outperformed all others in terms of forecasting accuracy. Additionally, the study explores the impact of vaccination on reported epidemics and deaths worldwide. Furthermore, the detrimental effects of ambient temperature and relative humidity on pathogenic virus dissemination have been analyzed.

Predict Observe Explain Learning Model : Implementation and Its Influence on Students’ Critical Thinking Ability and Learning Outcomes (A Meta-Analysis Study)

This study aims to examine the application of the POE (Prediction, Observation, and Explanation) learning model in Mathematics and Natural Sciences learning in the last 10 years in terms of advantages and constraints in Mathematics and Natural Sciences learning at elementary school, junior high school, and senior high school levels. The research used meta-analysis with a quantitative approach and data collection of Scopus/WoS and SINTA journals literature studies on POE in MIPA learning combined with MIPA materials for elementary school, junior high school, and senior high school. The data collection techniques of this research were (1) searching journal and repository databases, (2) data encoding & tabulation, (3) JASP software inputs, (4) interpretation & conclusion: JASP output, moderator variables. The research results showed that applying the POE learning model had a greater effect on student Learning Outcome than on student Critical Thinking with an effect of 60%. Then based on the education level, the POE model's influence on Critical Thinking and Student Learning Outcome was greater at the senior high school level, and based on the material field, the POE model had a greater influence on the mathematics material field. Then the moderator variable showed a very drastic decrease in the effect of the POE model on the Critical Thinking and Learning Outcome of students in 2018-2022, with a RE value of 47% smaller than the previous year. In addition, we recommend that the POE model is better applied at the high school level than at the elementary and junior high school levels.

Upaya Meningkatkan Hasil Belajar Matematika Materi Diagram Batang melalui Model Pembelajaran Problem Based Learning pada Siswa Kelas IV SDN Sidodadi II No 579

The learning process experienced by students shows changes in the affective domain which is expressed by attitudes and in the cognitive domain which is expressed by values, as well as the psychomotor aspect which indicates the success of learning activities. Factors that influence learning outcomes include the use of learning models that are appropriate and relevant to the lives of students. The purpose of this study was to determine the application of the PBL (Problem Based Learning) learning model in mathematics subject matter of bar chart data presentation. The study used the Classroom Action Research method which consisted of 3 cycles, namely cycle 1, cycle 2, and cycle 3. The learning activities of students in cycle 1 were classified as quite active with a percentage of learning outcomes of 80.74, in cycle 2 they experienced the increase is in the active category with a percentage of learning outcomes of 87.40, and in cycle 3 it has increased, namely in the very good and active category with a percentage of learning outcomes of 94.07. The conclusion from this study, the use of the Problem Based Learning (PBL) model in mathematics, bar chart data presentation material in class IV SDN Sidodadi II No 579 can increase student activity and learning outcomes.

Innovation of Mathematics Learning Models and Media in Elementary Schools in Kurikulum Merdeka Belajar

Mathematics learning aims to build students’ intellectual, creative, and logical mindsets. This goal can be achieved if learning can be carried out optimally. With technological advances in the independent learning curriculum, there needs to be innovations in the implementation of Mathematics learning in elementary schools. This study aims to examine the innovation of mathematics learning models and media in elementary schools in the independent learning curriculum. The method used in this research is a qualitative method of literature study, by reviewing articles of national and international repute. The results of this study indicate that there are several innovations in the mathematics learning model including the realistic mathematical education (RME) model, open minded problem-based learning, STEAM, blended learning, auditory intellectually repetition (AIR), and computational thinking (CT). While innovations in mathematics learning media include environment-based videos, Tinkercad, Arduino, and Chibitronics.
 Keywords: Mathematics learning innovation, model, media, elementary school

Comparison of Problem-Based Learning and Discovery Learning To Improve Students' Mathematical Critical Thinking Skills

The learning model applied in mathematics learning is expected to shape, develop and even improve students' critical thinking skills. This study aimed to: (1) analyze the differences in the improvement of students' mathematical critical thinking skills between students who learn to use the Problem Based Learning model and students who use the Discovery Learning model, and (2) to find out the interaction between the learning model and students' initial mathematical abilities towards improving their students' mathematical critical thinking ability. The research used a quasi-experimental type with a 2 x 3 factorial design that uses a two-way analysis of variance technique. This research took place at Public Senior High School 6 Ambon. The test instrument used was in the form of descriptive questions, which are based on indicators of mathematical critical thinking skills, according to Facione. Data analysis carried out in this research was in the form of normality test, homogeneity test, gain index analysis, and hypothesis testing. The research hypotheses were tested using Two-Way ANOVA. The results obtained indicate that: (1) there is no difference in increasing mathematical critical thinking skills between students who learn by using the Problem Based Learning learning model and students who learn by using the Discovery Learning learning model, and (2) there is a difference in the improvement of students' mathematical critical thinking skills based on their students' initial mathematical abilities, (3) learning models and students' initial mathematical abilities are believed to be 95 percent able to influence the improvement of students' mathematical critical thinking skills.

APLICATION OF THE PROBLEM BASED LEARNING MODEL TO IMPROVE MATHEMATICS LEARNING OUTCOMES FOR 4TH GRADE STUDENTS OF SDN NO. 48 INPRES GALUNG UTARA BANGGAE DISTRICT MAJENE REGENCY

The problem behind this research is the low learning outcomes of students in learning Mathematics for class IV SDN No. 48 Inpres Galung Utara, Banggae District, Majene Regency. This study aims to describe the application of the Problem Based Learning model to improve mathematics learning outcomes for fourth grade students of SDN No. 48 Inpres Galung Utara, Banggae District, Majene Regency. The approach used is a qualitative approach and the type of classroom action research (CAR) which consists of 2 cycles, each cycle consisting of 2 meetings with the stages of activities in the form of planning, implementing, observing, and reflecting. The focus of this research is the application of the Problem Based Learning model and student learning outcomes. The research subjects are teachers and fourth grade students at SDN No. 48 Inpres Galung Utara, Banggae District, Majene Regency. In the even semester of the 2022/2023 academic year, there are 18 students. Collecting data using the format of observation, tests and documentation. The data analysis used is qualitative. The results showed that there was an increase in learning both in teacher and student activities and student learning outcomes. The results of this study are teacher teaching activities and student learning activities have increased, in the first cycle the second meeting is in the sufficient category while in the second cycle the second meeting is in the good category. Student learning outcomes in cycle I meeting II are in the high category but student learning outcomes in Mathematics learning have not been completed classically, while in cycle II meeting II the category is very high, student learning outcomes have increased and have been completed classically. The conclusion of this study is that the application of the Problem Based Learning model in learning Mathematics can improve the learning outcomes of fourth grade students at SDN No. 48 Inpres Galung Utara, Banggae district Majene Regency.