Yusuf Hartono

MATEMATIKA DALAM BUDAYA PAGARALAM

Pagaralam is a major tourist destination in the area of South Sumatera Province, Indonesia. In addition to having a beautiful nature, the air is so cool, there is something very interesting to study the culture. Pagaralam has a culture potenstial based on mathematics. This article contains an overview of the relationship between mathematics and Pagaralam culture, in terms of the time division and division system. The existence of several customs or customs has been carried out continously in the culture of society without realizing it is an idea related to mathematics known as ethnomathematics. Matematics learning in school using cultural contexts can lead to the interest and curiousity of learners to learn math and can help learners to achieve a character education as well as to continue a good culture to the next generation and motivate learners to connect math to the real world.

DESAIN PEMBELAJARAN PENGURANGAN BILANGAN BULAT DENGAN PENDEKATAN PMRI DIKELAS VII

Penelitian ini bertujuan untuk mengetahui pemahaman siswa terhadap konsep-konsep pada materi pengurangan bilangan bulat melalui HLT yang didesain dengan daun-daun sebagai titik awal (starting point) juga sekaligus sebagai media dan menghasilkan lintasan pembelajaran pengurangan bilangan bulat untuk kelas VII. Desain research dipilih sebagai jenis penelitian ini untuk mencapai tujuan tersebut. Dalam penelitian ini, serangkaian aktivitas pembelajaran didesain dan dikembangkan berdasarkan hipotesis proses pembelajaran siswa. Pendekatan pembelajaran yang digunakan adalah pendekatan PMRI dengan melibatkan 32 orang siswa kelas VII di SMP Negeri 9 Palembang. Penelitian ini menghasilkan Learning Trajectory (LT) yang memuat serangkaian proses pembelajaran dalam 2 aktivitas yaitu memahami cara melakukan operasi pengurangan bilangan bulat dan cara menyelesaikan soal-soal penerapan pengurangan bilangan bulat. Hasil dari percobaan pembelajaran menunjuk bahwa dengan pendekatan PMRI dapat membantu siswa menyelesaikan soal-soal pengurangan bilangan bulat. Dengan adanya lintasan belajar mulai menyusun daun-daun dan memasangkannya dan menentukan hasil pengurangan dapat membantu pemahaman, penalaran siswa untuk materi Pengurangan Bilangan Bulat.

Robust Counterpart Open Capacitated Vehicle Routing (RC-OCVRP) Model in Optimization of Garbage Transportation in Kecamatan Sako and Sukarami, Palembang City

Zigbee technology has been developed for short range wireless sensor networks and it follows IEEE 802.15.4 standard. For such sensors, several considerations should be taken including; low data rate and less design complexity in order to achieve efficient performance considering to the transceiver systems. This research focuses on implementing a digital transceiver system for Zigbee sensor based on IEEE 802.15.4 . The system is implemented using offset quadrature phase shift keying (OQPSK) modulation technique with half sine pulse-shaping method. Direct conversion scheme has been used in the design of Zigbee receiver in order to fulfill the requirements mentioned above. System performance is analyzed considering to BER when it encountered adaptive white Gaussian noise (AWGN), besides showing the effect of using direct sequence spread spectrum (DSSS) technique.The inverted pendulum is an under-actuated and nonlinear system, which is also unstable. It is a single-input double-output system, where only one output is directly actuated. This paper investigates a single intelligent control system using an adaptive neuro-fuzzy inference system (ANFIS) to stabilize the inverted pendulum system while tracking the desired position. The non-linear inverted pendulum system was modelled and built using MATLAB Simulink. An adaptive neuro-fuzzy logic controller was implemented and its performance was compared with a Sugeno-fuzzy inference system in both simulation and real experiment. The ANFIS controller could reach its desired new destination in 1.5 s and could stabilize the entire system in 2.2 s in the simulation, while in the experiment it took 1.7 s to reach stability. Results from the simulation and experiment showed that ANFIS had better performance compared to the Sugeno-fuzzy controller as it provided faster and smoother response and much less steady-state error.Association Rule mining plays an important role in the discovery of knowledge and information. Association Rule mining discovers huge number of rules for any dataset for different support and confidence values, among this many of them are redundant, especially in the case of multi-level datasets. Mining non-redundant Association Rules in multi-level dataset is a big concern in field of Data mining. In this paper, we present a definition for redundancy and a concise representation called Reliable Exact basis for representing non-redundant Association Rules from multi-level datasets. The given non-redundant Association Rules are loss less representation for any datasets.This paper presents a novel technique for numeral reading in Indian language speech synthesis systems using the rule-based Concatenative speech synthesis technique. The model uses a set of rules to determine the context of the numeral pronunciation and is being integrated with the waveform concatenation technique to produce speech out of the input text in Indian languages. To analyze the performance of the proposed technique, a set of numerals are considered in different context and a comparison of the proposed technique with an existing numeral reading method is also presented to show the effectiveness of the proposed technique in producing intelligible speech out of the entered text.This paper presents a data processing system based on an architecture comprised of multiple stacked layers of computational processes that transforms Raw Binary Pollution Data com- ing directly from Two EUMETSAT Metop satellites to our servers, into ready to interpret and visualise continuous data stream in near real time using techniques varying from task automation, data preprocessing and data analysis to machine learning using feed forward ar- tificial neural networks. The proposed system handles the acquisition, cleaning, processing, normalizing, and predicting of Pollution Data in our area of interest of Morocco.Advanced Communication Systems are wideband systems to support multiple applications such as audio, video and data so and so forth. These systems require high spectral efficiency and data rates. In addition, they should provide multipath fading and inter-symbol interference (ISI) free transmission. Multiple input multiple output orthogonal frequency division multiplexing (MIMO OFDM) meets these requirements Hence, MIMO-OFDM is the most preferable technique for long term evaluation advanced (LTE-A). The primary objective of this paper is to control bit error rate (BER) by proper channel coding, pilot carriers, adaptive filter channel estimation schemes and space time coding (STC). A combination of any of these schemes results in better BER performance over individual schemes. System performance is analyzed for various digital modulation schemes. In this paper,adaptive filter channel estimated MIMO OFDM system is proposed by integrating channel coding, adaptivefilter channel estimation, digital modulation and space time coding. From the simulation results, channel estimated 2×2 MIMO OFDM system shows superior performance over individual schemes.Electricity markets are different from other markets as electricity generation cannot be easily stored in large amounts and in order to avoid blackouts, the generation of electricity must be balanced with customer demand for it on a second-by-second basis. Customers tend to rely on electricity for day-to-day living and cannot replace it easily so when electricity prices increase, customer demand generally does not reduce significantly in the short-term. As electricity generation and customer demand must be matched perfectly second-by-second, and because generation cannot be stored to a large extent, cost bids from generators must be balanced with demand estimates in advance of real-time. This paper outlines a a forecasting algorithm built on artificial neural networks in order to predict short-term (72 hours ahead) wholesale prices on the Irish Single Electricity Market so that market participants can make more informed trading decisions. Research studies have demonstrated that an adaptive or self-adaptive approach to forecasting would appear more suited to the task of predicting energy demands in territory such as Ireland. Implementing an in-house self-adaptive model should yield good results in the dynamic uncertain Irish energy market. We have identified the features that such a model demands and outline it here.Received May 2, 2018 Revised Jul 9, 2018 Accepted Aug 2, 2018 Zigbee technology has been developed for short range wireless sensor networks and it follows IEEE 802.15.4 standard. For such sensors, several considerations should be taken including; low data rate and less design complexity in order to achieve efficient performance considering to the transceiver systems. This research focuses on implementing a digital transceiver system for Zigbee sensor based on IEEE 802.15.4. The system is implemented using offset quadrature phase shift keying (OQPSK) modulation technique with half sine pulse-shaping method. Direct conversion scheme has been used in the design of Zigbee receiver in order to fulfill the requirements mentioned above. System performance is analyzed considering to BER when it encountered adaptive white Gaussian noise (AWGN), besides showing the effect of using direct sequence spread spectrum (DSSS) technique. Keyword:This paper presents the use of Simelectronics Program for modeling and control of a two degrees-of freedom coupled mass-spring-damper mechanical system.The aims of this paper are to establish a mathematical model that represents the dynamic behaviour of a coupled mass-spring damper system and effectively control the mass position using both Simulink and Simelectronics.The mathematical model is derived based on the augmented Lagrange equation and to simulate the dynamic accurately a PD controller is implemented to compensate for the oscillation sustained by the system as a result of the complex conjugate pair poles near to the imaginary axis.The input force has been subjected to an obstacle to mimic actual challenges and to validate the mathematical model a Simulink and Simelectronics models were developed, consequently, the results of the models were compared. According to the result analysis, the controller tracked the position errors and stabilized the positions to zero within a settling time of 6.5sec and significantly reduced the overshoot by 99.5% and 99. 7% in Simulink and Simelectronics respectively. Furthermore, it is found that Simelectronics model proved to be capable having advantages of simplicity, less time-intense and requires no mathematical model over the Simulink approach.

PENERAPAN SELF-ESTEEM DALAM PEMBELAJARAN MATEMATIKA MENGGUNAKAN PENDEKATAN OPEN-ENDED

Penelitian ini merupakan penelitian deskriptif yang bertujuan untuk memperoleh deskripsi mengenai self-esteem siswa dalam pembelajaran matematika menggunakan pendekatan open-ended. Subjek dari penelitian ini yaitu siswa kelas VIII.6 SMP Negeri 2 OKU yang berjumlah 42 orang. Proses pembelajaran berlangsung sesuai dengan tahapan pembelajaran pada pendekatan open-ended. Teknik pengumpulan data yakni dengan menggunakan angket MSSE (Math-Spesific Self-esteem), lembar observasi MBCSE (Metcalfe Behavioural Checklist of Self-esteem), dan wawancara. Berdasarkan hasil penelitian, self-esteem siswa dalam pembelajaran matematika menggunakan pendekatan open-ended adalah tinggi. Hal ini dilihat dari hasil perolehan angket MSSE dan lembar observasi MBCSE, yaitu dengan rincian sebagai berikut: dari data lembar observasi MBCSE persentase siswa yang memiliki self-esteem dengan kategori sangat tinggi adalah 7,1%. Selanjutnya 56% siswa dengan kategori self-esteem tinggi; 36,9% siswa dengan kategori self-esteem rendah. Sementara, berdasarkan data angket MSSE persentase siswa dengan kategori self-esteem sangat tinggi adalah 30% dan 70% siswa dengan kategori self-esteem tinggi.

DESAIN PEMBELAJARAN PROPORSIONAL DALAM PECAHAN MENGGUNAKAN PITA-GORES DI KELAS III

Penelitian ini berjenis desain research. Penelitian ini bertujuan untuk menghasilkan lintasan belajar proporsional dalam pecahan menggunakan pita-gores. Penelitian ini menggunakan pendekatan “Pendidikan Matematika Realistik Indonesia (PMRI)”. 25 siswa kelas III B SD Negeri 1 Awal Terusan dilibatkan dalam penelitian ini. Penelitian ini terdiri dari tiga tahap yaitu preliminary design, design experiment (pilot experiment &teaching experiment), dan retrospective analysis. Data diperoleh dari hasil observasi, wawancara, dan mengumpulkan pekerjaan siswa serta pengambilan foto dan video dari aktivitas siswa. HLT yang telah didesain dibandingkan dengan aktifitas belajar siswa (ALT) selama proses pembelajaran. Berdasarkan hasil analisis retrospektif dapat disimpulkan bahwa lintasan belajar siswa dengan menggunakan pita-gores di kelas III yang didesain telah membantu siswa memahami proporsional dalam pecahan. DOI: http://dx.doi.org/10.22342/jpm.11.2.3588.

Kemampuan Pemecahan Masalah Matematika Siswa pada Pembelajaran Matematika Menggunakan Strategi Abduktif-Deduktif di SMA Negeri 1 Indralaya Utara

This research is aimed to describe students’ problem solving skill in mathematics learning using abductive-deductive strategy. This research is descriptive research with 30 students of X.3 class at SMAN 1 Indralaya Utara as the subject. Learning process accords to characteristic and steps of abductive-deductive strategy in mathematics learning. The technique for collecting data is a test which includes of three problems. According to the results of research, it is obtained that representation of students’ problem solving skill in mathematics learning using abductive-deductive strategy on X.3 class at SMAN 1 Indralaya Utara is medium with these details: 2 students have very high problem solving skill or the percentage is 6,67%, 12 students have high problem solving skill or the percentage is 40%, 11 students have medium problem solving skill or the percentage 36,67%, and 5 students have low problem solving skill or the percentage is 16,67% and 0% or nothing who have problem solving skill with category very low. Furthermore, the understanding problem indicator has the highest percentage at 89,63%. Indicator of making a plan has the percentage at 63,7%, indicator of carrying out the plan has the percentage at 45,56%, and the looking back indicator has the lowest percentage at 16,11%.

DESAIN PEMBELAJARAN PELUANG DENGAN PENDEKATAN PMRI MENGGUNAKAN KUPON UNDIAN UNTUK SISWA KELAS VII

This research aims to determine the role of lottery coupons can help students find the concept of probability for class VII. Design Research had chose as a kind of research to achieve the goal. In this reseacrh, a series of learning activities designed and developed based on the hypothesis of the learning process of students. Learning approach used,that is, PMRI approach by involving 32 students of class VII MTs Campang Tiga. This research result Learning trajectory (LT), which contains a series of learning processes in the two activities, that is, understand the concept of sample space, sample point and the event occurrence. Results of the experiments show that with the approach of learning PMRI can define the concept of sample space and sample points and probabilities of an event by taking the lottery tickets. With the line of learning from taking lottery tickets, determine the sample space and sample point and determine the probability of occurrence can improve comprehension, reasoning students on the matters of probability.

Pengembangan Lembar Aktivitas Mahasiswa Topik Turunan Berdasarkan Teori APOS

Tujuan penelitian ini adalah mengembangkan Lembar Aktivitas Mahasiswa topik Turunan berdasarkan teori APOS yang memenuhi kriteria valid, praktis, dan memiliki efek potensial terhadap pemahaman konsep matematika mahasiswa. Penelitian ini menggunakan metode design research tipe development study . Tahap development (pengembangan), yaitu preliminary dan formative evaluation ( self evaluation, expert review, one-to-one , small group , dan field test ). Subjek penelitian ini adalah mahasiswa Kelas 1C Program Studi Pendidikan Matematika FKIP Universitas PGRI Palembang semester ganjil tahun akademik 2014/2015 sebanyak 38 orang. Data penelitian dikumpulkan melalui walkthrough ( expert reviews ), dokumentasi, dan wawancara. Data dianalisis secara deskriptif kualitatif. Berdasarkan hasil analisis data diketahui bahwa Lembar Aktivitas Mahasiswa yang dikembangkan memenuhi kriteria valid, praktis, dan memiliki efek potensial terhadap kemampuan pemahaman konsep matematika . Kata kunci: turunan, teori APOS, development study

DESAIN PEMBELAJARAN MATERI PECAHAN MENGGUNAKAN PENDEKATAN PMRIDI KELAS VII

Pecahan berurutan merupakan salah satu materi penting dalam pembelajaran aljabar yang digunakan untuk mempelajari materi yang lain. Namun, faktanya masih banyak siswa yang mengalami kesulitan dalam belajar pecahan berurutan disebabkan pembelajaran yang didominasi cara-cara formal sehingga hal ini tidak dapat mendukung pemahaman siswa tentang konsep pecahan berurutan. Oleh karena itu, diperlukan aktivitas belajar yang menekankan pada pemahaman konsep daripada strategi formal. Peneliti merancang 3 aktivitas pembelajaran pecahan berurutan dengan menggunakan pendekatan PMRI.Penelitian ini bertujuan untuk memberikan kontribusi berupa Local Instrucstional Theory (LIT) tentang materi pecahan berurutan. Penelitian ini melibatkan pada siklus 1 melibatkan 6 orang siswa dan pada siklus ke 2 melibatkan 36 siswa serta seorang guru model di SMP Negeri 55 Palembang. Data dikumpulkan melalui lembar kerja siswa, pre-test, post-test, video dan interview. Data dianalisis dengan cara membandingkan Hyphotetical Learning Trajectory (HLT) dan apa yang terjadi selama proses pembelajaran. Hasil analisis menunjukkan bahwa penggunaan kartu pecahan dapat mendukung pemahaman siswa dalam memahami pecahan siswa dari tahap informal ke tahap formal. Kata kunci: Pecahan Berurutan, PMRI, Kartu Pecahan, HLT.