Pengembangan Local Instructional Theory Pada Topik Pembagian dengan Pendekatan Matematika Realistik

This research aimed to develop local instruction theory that is valid, practical, and effective to help elementary school students developing their mathematical problem-solving skills. Therefore a sequential activityis design on dailybasis to encourage students to develop their ability to solve mathematical problems, especially on the topic division. To achieve the goal, realistic mathematics approach was implemented to grade three elementary students in the learning process. The designed activities were validated by experts on the aspects of mathematical contents, language, didactical process based on realistic mathematical approach. Data were analyzed with descriptive statistics and parametric statistics. The validation results show that the local instruction theory was valid, and the implementation shows that the local instruction theory is practical and effective in improving students' mathematical problem-solving skills.

DEVELOPING A LOCAL INSTRUCTION THEORY FOR LEARNING COMBINATIONS

This research aims at developing local instruction theory for learning combinations by using Realistic Mathematics Education (RME). This research uses a design research approach, Hypothetical Learning Trajectory (HLT), developed from a series of activities to obtain a better understanding about combinations at Senior High School (SHS) students. Theoretical development is supported by an interactive process in designing learning activities, conducting teaching experiment and conducting retrospective analysis to contribute to combinations of Local Instruction Theory (LIT). An understanding of combinations emerges and develops during classroom learning activities. Qualitative analysis of teaching experiments shows that by using local instruction theory teaching materials that characterize RME students are able to develop their understanding about a combination.

PENGEMBANGAN LOCAL INSTRUCTION THEORY PADA MATERI SEGITIGA DAN SEGIEMPAT TERHADAP KEMAMPUAN REPRESENTASI MATEMATIK SISWA SMP

The purpose of this research is to develop local instruction theory on triangular and quadrilateral material and examine the improvement of mathematical representation ability by using local instruction theory. The method used in this research is design research method which includes three stages, namely: preliminary design, design experiment and retrospective analysis. The instruments in this study were in the form of tests and non-tests, where the tests used were aimed to determine the improvement of students' mathematical representation ability while non-tests such as interviews and observations were used to develop the local instruction theory. Subjects in this study were 40 junior high school students. The final result of this research is the development of local instruction theory teaching materials that can be used by the teacher to be used as a guide in teaching and the ability of students' mathematical representation in triangular and quadrilateral material is sufficiently increased

Development of Local Instruction Theory of Multiplication Based on Realistic Mathematics Education in Primary Schools

This study aims to develop a local instruction theory (LIT) based on realistic mathematics education (RME) that is valid, practical, and effective on the topic of multiplication in grade III of elementary school. The research method used is research design type Gravemeijer & Cobb (2013). The research was conducted in three phases, namely preparing for the experiment, experimenting in the classroom, and conducting retrospective analysis. Data was collected using document analysis, observation, interviews, field notes, tests, and questionnaires. The collected data was analyzed qualitatively and quantitatively. Based on the research that has been carried out, LIT is produced which is valid, practical, and effective against students' mathematical problem solving abilities. Students can find a standard multiplication algorithm with a series of activities, namely finding the product of multiplication with repeated additions, ten multiplications, multiples of multiples of ten, and standard multiplication algorithms. Keywords: LIT, RME, multiplication

LEARNING TRAJECTORY PEMBELAJARAN LUAS PERMUKAAN KUBUS DAN BALOK

Learning trajectory merupakan alur pemikiran siswa yang dihasilkan dari Hypothetical learning trajectory (HLT). Learning trajectory yang dihasilkan pada pembelajaran materi luas permukaan kubus dan balok dapat dijadikan dasar bagi guru dalam mengembangankan model, metode serta bahan ajar yang akan digunakan dalam pembelajaran. Metode penelitian yang digunakan adalah metode penelitian design research yang bertujuan mengembangkan local instruction theory melalui kerjasama antara peneliti dan guru dalam meningkatkan kualitas pembelajaran. Metode design research terdiri dari tiga tahapan yaitiu pre experimen, teaching experiment dan restropective analysis. Teknik pengumpulan data yang digunakan dalam penelitian ini adalah dokumentasi, wawancara dan observasi, dan tes. Data yang diperoleh selanjutnya dianalisis secara deskriptif. Analisis data hasil dokumentasi, wawancara, observasi, dan tes dilakukan secara kualitatif.